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Moshe Arye Milevsky

Citations

Many of the citations below have been collected in an experimental project, CitEc, where a more detailed citation analysis can be found. These are citations from works listed in RePEc that could be analyzed mechanically. So far, only a minority of all works could be analyzed. See under "Corrections" how you can help improve the citation analysis.

Working papers

  1. Moshe A. Milevsky & Thomas S. Salisbury, 2024. "The Riccati Tontine: How to Satisfy Regulators on Average," Papers 2402.14555, arXiv.org.

    Cited by:

    1. Thomas Bernhardt, 2025. "A note on bequest preferences in utility maximisation for modern tontines," Papers 2501.08972, arXiv.org.

  2. Moshe A. Milevsky & Thomas S. Salisbury, 2021. "Refundable income annuities: Feasibility of money-back guarantees," Papers 2111.01239, arXiv.org.

    Cited by:

    1. Vanya Horneff & Raimond Maurer & Olivia S. Mitchell, 2023. "Fixed and variable longevity income annuities in defined contribution plans: Optimal retirement portfolios taking social security into account," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 90(4), pages 831-860, December.
    2. Moshe A. Milevsky & Thomas S. Salisbury, 2024. "The Riccati Tontine: How to Satisfy Regulators on Average," Papers 2402.14555, arXiv.org.
    3. Atta Mills, Ebenezer Fiifi Emire & Anyomi, Siegfried Kafui, 2023. "Optimal lifetime income annuity without bequest: Single and annual premiums," Finance Research Letters, Elsevier, vol. 53(C).

  3. Moshe A. Milevsky, 2018. "Swimming with Wealthy Sharks: Longevity, Volatility and the Value of Risk Pooling," Papers 1811.11326, arXiv.org.

    Cited by:

    1. S. Kirusheva & H. Huang & T. S. Salisbury, 2022. "Retirement spending problem under Habit Formation Model," Papers 2210.06255, arXiv.org.
    2. Alvarez, Jesús-Adrián & Kallestrup-Lamb, Malene & Kjærgaard, Søren, 2021. "Linking retirement age to life expectancy does not lessen the demographic implications of unequal lifespans," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 363-375.
    3. Chen, An & Hieber, Peter & Rach, Manuel, 2021. "Optimal retirement products under subjective mortality beliefs," Insurance: Mathematics and Economics, Elsevier, vol. 101(PA), pages 55-69.
    4. Bernard, Carole & De Gennaro Aquino, Luca & Levante, Lucia, 2021. "Optimal annuity demand for general expected utility agents," Insurance: Mathematics and Economics, Elsevier, vol. 101(PA), pages 70-79.
    5. Milevsky, Moshe A., 2020. "Calibrating Gompertz in reverse: What is your longevity-risk-adjusted global age?," Insurance: Mathematics and Economics, Elsevier, vol. 92(C), pages 147-161.
    6. Jesús-Adrián Álvarez & Malene Kallestrup-Lamb & Søren Kjærgaard, 2020. "Linking retirement age to life expectancy does not lessen the demographic implications of unequal lifespans," CREATES Research Papers 2020-17, Department of Economics and Business Economics, Aarhus University.
    7. Balter, Anne G. & Kallestrup-Lamb, Malene & Rangvid, Jesper, 2021. "Macro longevity risk and the choice between annuity products: Evidence from Denmark," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 355-362.

  4. Huaxiong Huang & Moshe A. Milevsky & Thomas S. Salisbury, 2018. "Retirement spending and biological age," Papers 1811.09921, arXiv.org.

    Cited by:

    1. Ye, Zihan & Post, Thomas, 2020. "What age do you feel? – Subjective age identity and economic behaviors," Journal of Economic Behavior & Organization, Elsevier, vol. 173(C), pages 322-341.
    2. Vanya Horneff & Raimond Maurer & Olivia S. Mitchell, 2023. "Fixed and variable longevity income annuities in defined contribution plans: Optimal retirement portfolios taking social security into account," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 90(4), pages 831-860, December.
    3. Martin Eling & Irina Gemmo & Danjela Guxha & Hato Schmeiser, 2024. "Big data, risk classification, and privacy in insurance markets," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 49(1), pages 75-126, March.
    4. S. Kirusheva & H. Huang & T. S. Salisbury, 2022. "Retirement spending problem under Habit Formation Model," Papers 2210.06255, arXiv.org.
    5. Ye, Zihan & Zou, Xiaopeng & Post, Thomas & Mo, Weiqiao & Yang, Qianqian, 2022. "Too old to plan? Age identity and financial planning among the older population of China," China Economic Review, Elsevier, vol. 73(C).
    6. Marcel Bräutigam & Montserrat Guillén & Jens P. Nielsen, 2017. "Facing Up to Longevity with Old Actuarial Methods: A Comparison of Pooled Funds and Income Tontines," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 42(3), pages 406-422, July.
    7. Moshe A. Milevsky & Thomas S. Salisbury, 2024. "The Riccati Tontine: How to Satisfy Regulators on Average," Papers 2402.14555, arXiv.org.
    8. Alfredo Omar Palafox-Roca, 2023. "Consumo óptimo en el retiro con diferentes leyes de mortalidad," Remef - Revista Mexicana de Economía y Finanzas Nueva Época REMEF (The Mexican Journal of Economics and Finance), Instituto Mexicano de Ejecutivos de Finanzas, IMEF, vol. 18(3), pages 1-30, Julio - S.
    9. Milevsky, Moshe A., 2020. "Calibrating Gompertz in reverse: What is your longevity-risk-adjusted global age?," Insurance: Mathematics and Economics, Elsevier, vol. 92(C), pages 147-161.

  5. M. A. Milevsky & T. S. Salisbury, 2016. "Equitable retirement income tontines: Mixing cohorts without discriminating," Papers 1610.09384, arXiv.org.

    Cited by:

    1. An Chen & Thai Nguyen & Thorsten Sehner, 2022. "Unit-Linked Tontine: Utility-Based Design, Pricing and Performance," Risks, MDPI, vol. 10(4), pages 1-27, April.
    2. Olivia S. Mitchell, 2018. "Enhancing risk management for an aging world," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 43(2), pages 115-136, September.
    3. Shuanglan Li & Héloïse Labit Hardy & Michael Sherris & Andrés M. Villegas, 2022. "A Managed Volatility Investment Strategy for Pooled Annuity Products," Risks, MDPI, vol. 10(6), pages 1-30, June.
    4. Chen, An & Rach, Manuel, 2023. "Actuarial fairness and social welfare in mixed-cohort tontines," Insurance: Mathematics and Economics, Elsevier, vol. 111(C), pages 214-229.
    5. Dagpunar, John, 2021. "Closed-form solutions for an explicit modern ideal tontine with bequest motive," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 261-273.
    6. Bernhardt, Thomas & Donnelly, Catherine, 2019. "Modern tontine with bequest: Innovation in pooled annuity products," Insurance: Mathematics and Economics, Elsevier, vol. 86(C), pages 168-188.
    7. Thomas Bernhardt & Ge Qu, 2021. "Wealth heterogeneity in a closed pooled annuity fund," Papers 2110.13467, arXiv.org, revised Aug 2022.
    8. Hieber, Peter & Lucas, Nathalie, 2020. "Life-Care Tontines," LIDAM Discussion Papers ISBA 2020026, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    9. Hanbali, Hamza & Denuit, Michel & Dhaene, Jan & Trufin, Julien, 2019. "A dynamic equivalence principle for systematic longevity risk management," Insurance: Mathematics and Economics, Elsevier, vol. 86(C), pages 158-167.
    10. Marcel Bräutigam & Montserrat Guillén & Jens P. Nielsen, 2017. "Facing Up to Longevity with Old Actuarial Methods: A Comparison of Pooled Funds and Income Tontines," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 42(3), pages 406-422, July.
    11. Chen, An & Hieber, Peter & Rach, Manuel, 2021. "Optimal retirement products under subjective mortality beliefs," Insurance: Mathematics and Economics, Elsevier, vol. 101(PA), pages 55-69.
    12. Michel Denuit & Raluca Vernic, 2018. "Bivariate Bernoulli Weighted Sums and Distribution of Single-Period Tontine Benefits," Methodology and Computing in Applied Probability, Springer, vol. 20(4), pages 1403-1416, December.
    13. Bégin, Jean-François & Sanders, Barbara, 2024. "Benefit volatility-targeting strategies in lifetime pension pools," Insurance: Mathematics and Economics, Elsevier, vol. 118(C), pages 72-94.
    14. Olga M. Fuentes & Richard K. Fullmer & Manuel García-Huitrón, 2024. "A sustainable, variable lifetime retirement income solution for the Chilean pension system," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 49(2), pages 234-258, April.
    15. Thomas Bernhardt & Catherine Donnelly, 2020. "Quantifying the trade-off between income stability and the number of members in a pooled annuity fund," Papers 2010.16009, arXiv.org.
    16. Chen, An & Rach, Manuel, 2019. "Options on tontines: An innovative way of combining tontines and annuities," Insurance: Mathematics and Economics, Elsevier, vol. 89(C), pages 182-192.
    17. Denuit, Michel & Robert, Christian Y., 2023. "Endowment contingency funds for mutual aid and public financing," LIDAM Discussion Papers ISBA 2023009, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    18. Xie, Lin & Chen, Lv & Qian, Linyi & Li, Danping & Yang, Zhixin, 2023. "Optimal investment and consumption strategies for pooled annuity with partial information," Insurance: Mathematics and Economics, Elsevier, vol. 108(C), pages 129-155.
    19. Thomas Bernhardt & Catherine Donnelly, 2019. "Modern tontine with bequest: innovation in pooled annuity products," Papers 1903.05990, arXiv.org.

  6. Moshe A. Milevsky & Thomas S. Salisbury, 2016. "Optimal retirement income tontines," Papers 1610.10078, arXiv.org.

    Cited by:

    1. An Chen & Thai Nguyen & Thorsten Sehner, 2022. "Unit-Linked Tontine: Utility-Based Design, Pricing and Performance," Risks, MDPI, vol. 10(4), pages 1-27, April.
    2. Annamaria Olivieri, 2021. "Designing Annuities with Flexibility Opportunities in an Uncertain Mortality Scenario," Risks, MDPI, vol. 9(11), pages 1-18, October.
    3. Shuanglan Li & Héloïse Labit Hardy & Michael Sherris & Andrés M. Villegas, 2022. "A Managed Volatility Investment Strategy for Pooled Annuity Products," Risks, MDPI, vol. 10(6), pages 1-30, June.
    4. Goecke, Oskar, 2018. "Resilience and Intergenerational Fairness in Collective Defined Contribution Pension Funds," Forschung am ivwKöln 7/2018, Technische Hochschule Köln – University of Applied Sciences, Institute for Insurance Studies.
    5. Jan L. M. Dhaene & Moshe A. Milevsky, 2024. "Egalitarian pooling and sharing of longevity risk', a.k.a. 'The many ways to skin a tontine cat," Papers 2402.00855, arXiv.org.
    6. Jorge Miguel Bravo, 2019. "Funding for longer lives. Retirement wallet and risk-sharing annuities," EKONOMIAZ. Revista vasca de Economía, Gobierno Vasco / Eusko Jaurlaritza / Basque Government, vol. 96(02), pages 268-291.
    7. An Chen & Montserrat Guillen & Elena Vigna, 2017. "Solvency requirement in a unisex mortality model," Carlo Alberto Notebooks 504, Collegio Carlo Alberto.
    8. Chen, An & Rach, Manuel, 2023. "Actuarial fairness and social welfare in mixed-cohort tontines," Insurance: Mathematics and Economics, Elsevier, vol. 111(C), pages 214-229.
    9. Chen, An & Chen, Yusha & Xu, Xian, 2022. "Care-dependent tontines," Insurance: Mathematics and Economics, Elsevier, vol. 106(C), pages 69-89.
    10. Dagpunar, John, 2021. "Closed-form solutions for an explicit modern ideal tontine with bequest motive," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 261-273.
    11. Bernhardt, Thomas & Donnelly, Catherine, 2019. "Modern tontine with bequest: Innovation in pooled annuity products," Insurance: Mathematics and Economics, Elsevier, vol. 86(C), pages 168-188.
    12. David Blake & Nicole El Karoui & Stéphane Loisel & Richard Macminn, 2018. "Longevity risk and capital markets: The 2015–16 update," Post-Print hal-01995778, HAL.
    13. Abdikerimova, Samal & Feng, Runhuan, 2022. "Peer-to-peer multi-risk insurance and mutual aid," European Journal of Operational Research, Elsevier, vol. 299(2), pages 735-749.
    14. Weinert, Jan-Hendrik & Gründl, Helmut, 2016. "The modern tontine: An innovative instrument for longevity risk management in an aging society," ICIR Working Paper Series 22/16, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    15. Bommier, Antoine & Schernberg, Hélène, 2021. "Would you prefer your retirement income to depend on your life expectancy?," Journal of Economic Theory, Elsevier, vol. 191(C).
    16. Peter A. Forsyth & Kenneth R. Vetzal & G. Westmacott, 2022. "Optimal performance of a tontine overlay subject to withdrawal constraints," Papers 2211.10509, arXiv.org.
    17. Hieber, Peter & Lucas, Nathalie, 2020. "Life-Care Tontines," LIDAM Discussion Papers ISBA 2020026, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    18. Marcel Bräutigam & Montserrat Guillén & Jens P. Nielsen, 2017. "Facing Up to Longevity with Old Actuarial Methods: A Comparison of Pooled Funds and Income Tontines," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 42(3), pages 406-422, July.
    19. Moshe A. Milevsky & Thomas S. Salisbury, 2024. "The Riccati Tontine: How to Satisfy Regulators on Average," Papers 2402.14555, arXiv.org.
    20. Chen, An & Hieber, Peter & Rach, Manuel, 2021. "Optimal retirement products under subjective mortality beliefs," Insurance: Mathematics and Economics, Elsevier, vol. 101(PA), pages 55-69.
    21. Forsyth, Peter A., 2020. "Optimal dynamic asset allocation for DC plan accumulation/decumulation: Ambition-CVAR," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 230-245.
    22. Atta Mills, Ebenezer Fiifi Emire & Anyomi, Siegfried Kafui, 2023. "Optimal lifetime income annuity without bequest: Single and annual premiums," Finance Research Letters, Elsevier, vol. 53(C).
    23. Blake, David & Cairns, Andrew J.G., 2021. "Longevity risk and capital markets: The 2019-20 update," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 395-439.
    24. Bäuerle Nicole & Chen An, 2019. "Optimal retirement planning under partial information," Statistics & Risk Modeling, De Gruyter, vol. 36(1-4), pages 37-55, December.
    25. Bégin, Jean-François & Sanders, Barbara, 2024. "Benefit volatility-targeting strategies in lifetime pension pools," Insurance: Mathematics and Economics, Elsevier, vol. 118(C), pages 72-94.
    26. Weinert, Jan-Hendrik, 2017. "The fair surrender value of a tontine," ICIR Working Paper Series 26/17, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    27. Thomas Bernhardt & Catherine Donnelly, 2020. "Quantifying the trade-off between income stability and the number of members in a pooled annuity fund," Papers 2010.16009, arXiv.org.
    28. Chen, An & Rach, Manuel, 2019. "Options on tontines: An innovative way of combining tontines and annuities," Insurance: Mathematics and Economics, Elsevier, vol. 89(C), pages 182-192.
    29. Mercedes Ayuso & Jorge M. Bravo & Robert Holzmann & Edward Palmer, 2021. "Automatic Indexation of the Pension Age to Life Expectancy: When Policy Design Matters," Risks, MDPI, vol. 9(5), pages 1-28, May.
    30. Chen, An & Guillen, Montserrat & Rach, Manuel, 2021. "Fees in tontines," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 89-106.
    31. Denuit, Michel & Robert, Christian Y., 2023. "Endowment contingency funds for mutual aid and public financing," LIDAM Discussion Papers ISBA 2023009, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    32. Fan Zhang & Ping Chen & Xueyuan Wu, 2024. "Optimal Benefit Distribution of a Tontine-like Annuity Fund with Age-Structured Models," Risks, MDPI, vol. 13(1), pages 1-27, December.
    33. Xie, Lin & Chen, Lv & Qian, Linyi & Li, Danping & Yang, Zhixin, 2023. "Optimal investment and consumption strategies for pooled annuity with partial information," Insurance: Mathematics and Economics, Elsevier, vol. 108(C), pages 129-155.
    34. Mantilla-Garcia, Daniel & Martellini, Lionel & Garcia-Huitrón, Manuel E. & Martinez-Carrasco, Miguel A., 2024. "Back to the funding ratio! Addressing the duration puzzle and retirement income risk of defined contribution pension plans," Journal of Banking & Finance, Elsevier, vol. 159(C).
    35. Thomas Bernhardt & Catherine Donnelly, 2019. "Modern tontine with bequest: innovation in pooled annuity products," Papers 1903.05990, arXiv.org.

  7. Moshe A. Milevsky & Virginia R. Young, 2015. "Annuitization and asset allocation," Papers 1506.05990, arXiv.org.

    Cited by:

    1. Maurer, Raimond & Mitchell, Olivia S. & Rogalla, Ralph & Siegelin, Ivonne, 2016. "Accounting and actuarial smoothing of retirement payouts in participating life annuities," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 268-283.
    2. Owadally, Iqbal & Jang, Chul & Clare, Andrew, 2021. "Optimal investment for a retirement plan with deferred annuities," Insurance: Mathematics and Economics, Elsevier, vol. 98(C), pages 51-62.
    3. Feigenbaum, James & Gahramanov, Emin & Tang, Xueli, 2013. "Is it really good to annuitize?," Journal of Economic Behavior & Organization, Elsevier, vol. 93(C), pages 116-140.
    4. Wang, Ting & Young, Virginia R., 2012. "Maximizing the utility of consumption with commutable life annuities," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 352-369.
    5. Liang, Xiaoqing & Young, Virginia R., 2023. "Annuitizing at a bounded, absolutely continuous rate to minimize the probability of lifetime ruin," Insurance: Mathematics and Economics, Elsevier, vol. 112(C), pages 80-96.
    6. Wu, Shang & Stevens, Ralph & Thorp, Susan, 2015. "Cohort and target age effects on subjective survival probabilities: Implications for models of the retirement phase," Journal of Economic Dynamics and Control, Elsevier, vol. 55(C), pages 39-56.
    7. Bayraktar, Erhan & Milevsky, Moshe A. & David Promislow, S. & Young, Virginia R., 2009. "Valuation of mortality risk via the instantaneous Sharpe ratio: Applications to life annuities," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 676-691, March.
    8. Robert S. Gazzale & Lina Walker, 2009. "Behavioral Biases in Annuity Choice: An Experiment," Department of Economics Working Papers 2009-01, Department of Economics, Williams College.
    9. Horneff, Wolfram & Maurer, Raimond & Rogalla, Ralph, 2010. "Dynamic portfolio choice with deferred annuities," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2652-2664, November.
    10. Marina Di Giacinto & Salvatore Federico & Fausto Gozzi & Elena Vigna, 2012. "Income drawdown option with minimum guarantee," Carlo Alberto Notebooks 272, Collegio Carlo Alberto.
    11. Horneff, Wolfram J. & Maurer, Raimond H. & Stamos, Michael Z., 2008. "Life-cycle asset allocation with annuity markets," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3590-3612, November.
    12. Agnieszka Konicz & David Pisinger & Alex Weissensteiner, 2015. "Optimal annuity portfolio under inflation risk," Computational Management Science, Springer, vol. 12(3), pages 461-488, July.
    13. Wolfram J. Horneff & Raimond H. Maurer & Olivia S. Mitchel & Michael Z. Stamos, 2008. "Asset Allocation and Location over the Life Cycle with Survival-Contingent Payouts," Working Papers wp177, University of Michigan, Michigan Retirement Research Center.
    14. Jingjing Chai & Wolfram Horneff & Raimond Maurer & Olivia S. Mitchell, 2009. "Extending Life Cycle Models of Optimal Portfolio Choice: Integrating Flexible Work, Endogenous Retirement, and Investment Decisions with Lifetime Payouts," Working Papers wp204, University of Michigan, Michigan Retirement Research Center.
    15. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2009. "Asset allocation and location over the life cycle with investment-linked survival-contingent payouts," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1688-1699, September.
    16. Costanza Torricelli, 2009. "Models For Household Portfolios And Life-Cycle Allocations In The Presence Of Labour Income And Longevity Risk," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 0017, Universita di Modena e Reggio Emilia, Dipartimento di Economia "Marco Biagi".
    17. MacDonald, Bonnie-Jeanne & Cairns, Andrew J.G., 2011. "Three retirement decision models for defined contribution pension plan members: A simulation study," Insurance: Mathematics and Economics, Elsevier, vol. 48(1), pages 1-18, January.
    18. Wolfram J. Horneff & Raimond H. Maurer & Michael Z. Stamos, 2008. "Optimal Gradual Annuitization: Quantifying the Costs of Switching to Annuities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(4), pages 1019-1038, December.
    19. Giorgio Ferrari & Shihao Zhu, 2023. "Optimal Retirement Choice under Age-dependent Force of Mortality," Papers 2311.12169, arXiv.org.
    20. Peter A. Forsyth & Kenneth R. Vetzal & Graham Westmacott, 2021. "Optimal control of the decumulation of a retirement portfolio with variable spending and dynamic asset allocation," Papers 2101.02760, arXiv.org.
    21. Moshe A. Milevsky & Thomas S. Salisbury, 2021. "Refundable income annuities: Feasibility of money-back guarantees," Papers 2111.01239, arXiv.org.
    22. Antoine Bommier & François Le Grand, 2012. "Too Risk Averse to Purchase Insurance? A Theoretical Glance at the Annuity Puzzle," CER-ETH Economics working paper series 12/157, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    23. Bernhardt, Thomas & Donnelly, Catherine, 2019. "Modern tontine with bequest: Innovation in pooled annuity products," Insurance: Mathematics and Economics, Elsevier, vol. 86(C), pages 168-188.
    24. Marina Di Giacinto & Elena Vigna, 2012. "On the sub-optimality cost of immediate annuitization in DC pension funds," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(3), pages 497-527, September.
    25. Alicia H. Munnell & Gal Wettstein & Wenliang Hou, 2022. "How best to annuitize defined contribution assets?," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(1), pages 211-235, March.
    26. David Blake & Nicole El Karoui & Stéphane Loisel & Richard Macminn, 2018. "Longevity risk and capital markets: The 2015–16 update," Post-Print hal-01995778, HAL.
    27. Hazel Bateman & Christine Eckert & Fedor Iskhakov & Jordan Louviere & Stephen Satchell & Susan Thorp, 2017. "Default and naive diversification heuristics in annuity choice," Australian Journal of Management, Australian School of Business, vol. 42(1), pages 32-57, February.
    28. Marina Di Giacinto & Bjarne Højgaard & Elena Vigna, 2010. "Optimal time of annuitization in the decumulation phase of a defined contribution pension scheme," Working Papers 2010-08, Universita' di Cassino, Dipartimento di Economia e Giurisprudenza.
    29. Pablo Castañeda, 2007. "Long Term Risk Assessment in a Defined Contribution Pension System," Working Papers 20, Superintendencia de Pensiones, revised Oct 2007.
    30. He, Lin & Liang, Zongxia, 2015. "Optimal assets allocation and benefit outgo policies of DC pension plan with compulsory conversion claims," Insurance: Mathematics and Economics, Elsevier, vol. 61(C), pages 227-234.
    31. Robert S. Gazzale & Julian Jamison & Alexander Karlan & Dean S. Karlan, 2009. "Ambiguous Solicitation: Ambiguous Prescription," Department of Economics Working Papers 2009-02, Department of Economics, Williams College.
    32. Huang, H. & Milevsky, M.A. & Salisbury, T.S., 2014. "Optimal initiation of a GLWB in a variable annuity: No Arbitrage approach," Insurance: Mathematics and Economics, Elsevier, vol. 56(C), pages 102-111.
    33. Hainaut, Donatien & Deelstra, Griselda, 2014. "Optimal timing for annuitization, based on jump diffusion fund and stochastic mortality," Journal of Economic Dynamics and Control, Elsevier, vol. 44(C), pages 124-146.
    34. Carlotta Balestra & Davide Dottori, 2012. "Aging society, health and the environment," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(3), pages 1045-1076, July.
    35. Kaschützke, B. & Maurer, R., 2016. "Investing and Portfolio Allocation for Retirement," Handbook of the Economics of Population Aging, in: Piggott, John & Woodland, Alan (ed.), Handbook of the Economics of Population Aging, edition 1, volume 1, chapter 0, pages 567-608, Elsevier.
    36. Matheus R Grasselli & Sebastiano Silla, 2009. "A policyholder's utility indifference valuation model for the guaranteed annuity option," Papers 0908.3196, arXiv.org.
    37. F. Habib & H. Huang & A. Mauskopf & B. Nikolic & T. S. Salisbury, 2021. "Optimal allocation to deferred income annuities," Papers 2111.01234, arXiv.org.
    38. Chen, An & Hentschel, Felix & Steffensen, Mogens, 2021. "On retirement time decision making," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 107-129.
    39. Antoine Bommier & François Grand, 2014. "Too risk averse to purchase insurance?," Journal of Risk and Uncertainty, Springer, vol. 48(2), pages 135-166, April.
    40. Jeffrey R. Brown & Arie Kapteyn & Erzo F.P. Luttmer & Olivia Mitchell, 2012. "Do Consumers Know How to Value Annuities? Complexity as a Barrier to Annuitization," Working Papers WR-924-SSA, RAND Corporation.
    41. Agnieszka Karolina Konicz & David Pisinger & Alex Weissensteiner, 2016. "Optimal retirement planning with a focus on single and joint life annuities," Quantitative Finance, Taylor & Francis Journals, vol. 16(2), pages 275-295, February.
    42. Charles Sutcliffe, 2013. "Trading Death: The Implications of Annuity Replication for the Annuity Puzzle, Arbitrage, Speculation and Portfolios," ICMA Centre Discussion Papers in Finance icma-dp2013-06, Henley Business School, University of Reading.
    43. Joachim Inkmann & Paula Lopes & Alexander Michaelides, 2009. "How Deep is the Annuity Market Participation Puzzle?," Working Papers 2009-5, Central Bank of Cyprus.
    44. Hippolyte d'Albis & Andrei Kalk, 2021. "Why do we postpone annuity purchases?," Post-Print halshs-03166724, HAL.
    45. Peijnenburg, Kim & Nijman, Theo & Werker, Bas J. M., 2016. "The annuity puzzle remains a puzzle," Other publications TiSEM 011232cd-6c91-4c59-8bc6-6, Tilburg University, School of Economics and Management.
    46. Vanya Horneff & Raimond Maurer & Olivia S. Mitchell & Ralph Rogalla, 2013. "Optimal Life Cycle Portfolio Choice with Variable Annuities Offering Liquidity and Investment Downside Protection," NBER Working Papers 19206, National Bureau of Economic Research, Inc.
    47. Sanders, Lisanne & De Waegenaere, Anja & Nijman, Theo E., 2013. "When can insurers offer products that dominate delayed old-age pension benefit claiming?," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 134-149.
    48. Erhan Bayraktar & Virginia Young, 2013. "Life Insurance Purchasing to Maximize Utility of Household Consumption," North American Actuarial Journal, Taylor & Francis Journals, vol. 17(2), pages 114-135.
    49. Benjamin Avanzi & Lewis de Felice, 2023. "Optimal Strategies for the Decumulation of Retirement Savings under Differing Appetites for Liquidity and Investment Risks," Papers 2312.14355, arXiv.org, revised Mar 2024.
    50. Dadashi, Hassan, 2020. "Optimal investment–consumption problem: Post-retirement with minimum guarantee," Insurance: Mathematics and Economics, Elsevier, vol. 94(C), pages 160-181.
    51. Russell Gerrard & Bjarne Højgaard & Elena Vigna, 2008. "Choosing the Optimal Annuitization Time Post Retirement," Carlo Alberto Notebooks 76, Collegio Carlo Alberto.
    52. Tiziano Angelis & Gabriele Stabile, 2019. "On the free boundary of an annuity purchase," Finance and Stochastics, Springer, vol. 23(1), pages 97-137, January.
    53. Bong-Gyu Jang & Hyeng Keun Koo & Yuna Rhee, 2016. "Asset demands and consumption with longevity risk," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(3), pages 587-633, August.
    54. Sanders, E.A.T. & De Waegenaere, A.M.B. & Nijman, T.E., 2010. "When Can Insurers Offer Products That Dominate Delayed Old-Age Pension Benefit Claiming?," Other publications TiSEM ea3f9bbb-92ce-4dfe-a1fe-e, Tilburg University, School of Economics and Management.
    55. Atta Mills, Ebenezer Fiifi Emire & Anyomi, Siegfried Kafui, 2023. "Optimal lifetime income annuity without bequest: Single and annual premiums," Finance Research Letters, Elsevier, vol. 53(C).
    56. Koo, Bonsoo & Pantelous, Athanasios A. & Wang, Yunxiao, 2022. "Novel utility-based life cycle models to optimise income in retirement," European Journal of Operational Research, Elsevier, vol. 299(1), pages 346-361.
    57. Han, Nan-Wei & Hung, Mao-Wei, 2021. "The annuity puzzle and consumption hump under ambiguous life expectancy," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 76-88.
    58. Blake, David & Cairns, Andrew J.G., 2021. "Longevity risk and capital markets: The 2019-20 update," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 395-439.
    59. Jinhui Zhang & Sachi Purcal & Jiaqin Wei, 2017. "Optimal Time to Enter a Retirement Village," Risks, MDPI, vol. 5(1), pages 1-20, March.
    60. Tiziano De Angelis & Alessandro Milazzo & Gabriele Stabile, 2024. "On variable annuities with surrender charges," Papers 2405.02115, arXiv.org.
    61. Zheng, Wenyuan & Li, Bingqing & Huang, Zhiyong & Chen, Lu, 2022. "Why Was There More Household Stock Market Participation During the COVID-19 Pandemic?," Finance Research Letters, Elsevier, vol. 46(PB).
    62. Blake, David & Wright, Douglas & Zhang, Yumeng, 2014. "Age-dependent investing: Optimal funding and investment strategies in defined contribution pension plans when members are rational life cycle financial planners," Journal of Economic Dynamics and Control, Elsevier, vol. 38(C), pages 105-124.
    63. Duy-Minh Dang & P. A. Forsyth & K. R. Vetzal, 2017. "The 4% strategy revisited: a pre-commitment mean-variance optimal approach to wealth management," Quantitative Finance, Taylor & Francis Journals, vol. 17(3), pages 335-351, March.
    64. Ewald, Christian-Oliver & Zhang, Aihua, 2017. "On the effects of changing mortality patterns on investment, labour and consumption under uncertainty," Insurance: Mathematics and Economics, Elsevier, vol. 73(C), pages 105-115.
    65. Lambregts, Timo R. & Schut, Frederik T., 2020. "Displaced, disliked and misunderstood: A systematic review of the reasons for low uptake of long-term care insurance and life annuities," The Journal of the Economics of Ageing, Elsevier, vol. 17(C).
    66. Maria Alexandrova & Nadine Gatzert, 2019. "What Do We Know About Annuitization Decisions?," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 22(1), pages 57-100, March.
    67. Fedor Iskhakov & Susan Thorp & Hazel Bateman, 2015. "Optimal Annuity Purchases for Australian Retirees," The Economic Record, The Economic Society of Australia, vol. 91(293), pages 139-154, June.
    68. Han, Nan-Wei & Hung, Mao-Wei, 2015. "The investment management for a downside-protected equity-linked annuity under interest rate risk," Finance Research Letters, Elsevier, vol. 13(C), pages 113-124.
    69. Jeffrey R. Brown & Jeffrey R. Kling & Sendhil Mullainathan & Marian V. Wrobel, 2013. "Framing Lifetime Income," NBER Working Papers 19063, National Bureau of Economic Research, Inc.
    70. Ferrari, Giorgio & Zhu, Shihao, 2023. "Optimal Retirement Choice under Age-dependent Force of Mortality," Center for Mathematical Economics Working Papers 683, Center for Mathematical Economics, Bielefeld University.
    71. Wiesław Dębski & Bartosz Świderski, 2016. "An Allocation Analysis of Polish Household Savings Invested in Financial Assets, 2003 – 2014," Contemporary Economics, University of Economics and Human Sciences in Warsaw., vol. 10(2), June.
    72. Wolfram J. Horneff & Raimond H. Maurer, 2008. "Deferred Annuities and Strategic Asset Allocation," Working Papers wp178, University of Michigan, Michigan Retirement Research Center.
    73. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2010. "Variable payout annuities and dynamic portfolio choice in retirement," Journal of Pension Economics and Finance, Cambridge University Press, vol. 9(2), pages 163-183, April.
    74. Narat Charupat & Mark J. Kamstra & Moshe A. Milevsky, 2016. "The Sluggish and Asymmetric Reaction of Life Annuity Prices to Changes in Interest Rates," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(3), pages 519-555, September.
    75. Wang, Ting & Young, Virginia R., 2012. "Optimal commutable annuities to minimize the probability of lifetime ruin," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 200-216.
    76. Jingjing Chai & Wolfram Horneff & Raimond Maurer & Olivia S. Mitchell, 2011. "Optimal Portfolio Choice over the Life Cycle with Flexible Work, Endogenous Retirement, and Lifetime Payouts," Review of Finance, European Finance Association, vol. 15(4), pages 875-907.
    77. Jarner, Søren Fiig & Kronborg, Morten Tolver, 2016. "Entrance times of random walks: With applications to pension fund modeling," Insurance: Mathematics and Economics, Elsevier, vol. 67(C), pages 1-20.
    78. Gabay, Daniel & Grasselli, Martino, 2012. "Fair demographic risk sharing in defined contribution pension systems," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 657-669.
    79. Miloš Kopa & Vittorio Moriggia & Sebastiano Vitali, 2018. "Individual optimal pension allocation under stochastic dominance constraints," Annals of Operations Research, Springer, vol. 260(1), pages 255-291, January.
    80. Guan, Guohui & Liang, Zongxia & Ma, Xingjian, 2024. "Optimal annuitization and asset allocation under linear habit formation," Insurance: Mathematics and Economics, Elsevier, vol. 114(C), pages 176-191.
    81. Das, Sanjiv R. & Statman, Meir, 2013. "Options and structured products in behavioral portfolios," Journal of Economic Dynamics and Control, Elsevier, vol. 37(1), pages 137-153.
    82. Hassan Dadashi, 2018. "Optimal investment-consumption problem: post-retirement with minimum guarantee," Papers 1803.00611, arXiv.org, revised Aug 2020.
    83. Wenyuan Li & Pengyu Wei, 2024. "Optimal life insurance and annuity decision under money illusion," Papers 2410.20128, arXiv.org.
    84. Deelstra, Griselda & Grasselli, Martino & Van Weverberg, Christopher, 2016. "The role of the dependence between mortality and interest rates when pricing Guaranteed Annuity Options," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 205-219.
    85. Liang, Xiaoqing & Young, Virginia R., 2018. "Annuitization and asset allocation under exponential utility," Insurance: Mathematics and Economics, Elsevier, vol. 79(C), pages 167-183.
    86. Jeffrey R. Brown & Arie Kapteyn & Erzo F.P. Luttmer & Olivia S. Mitchell, 2013. "Cognitive Constraints on Valuing Annuities," NBER Working Papers 19168, National Bureau of Economic Research, Inc.
    87. Aparna Gupta & Zhisheng Li, 2013. "Optimal Annuity Purchase Decisions Under Uncertain Lifetime," Journal of Family and Economic Issues, Springer, vol. 34(4), pages 447-459, December.
    88. Thomas Bernhardt & Catherine Donnelly, 2019. "Modern tontine with bequest: innovation in pooled annuity products," Papers 1903.05990, arXiv.org.
    89. Habib, F. & Huang, H. & Mauskopf, A. & Nikolic, B. & Salisbury, T.S., 2020. "Optimal allocation to Deferred Income Annuities," Insurance: Mathematics and Economics, Elsevier, vol. 90(C), pages 94-104.
    90. de Kort, J. & Vellekoop, M.H., 2017. "Existence of optimal consumption strategies in markets with longevity risk," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 107-121.
    91. Jang, Bong-Gyu & Koo, Hyeng Keun & Park, Seyoung, 2019. "Optimal consumption and investment with insurer default risk," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 44-56.
    92. Park, Seyoung, 2020. "Verification theorems for models of optimal consumption and investment with annuitization," Mathematical Social Sciences, Elsevier, vol. 103(C), pages 36-44.
    93. Geoffrey Kingston, 2009. "Financial Plans for Baby Boomers: How Much Risk?," Economic Papers, The Economic Society of Australia, vol. 28(2), pages 65-74, June.
    94. Horneff, Vanya & Maurer, Raimond & Mitchell, Olivia S., 2020. "Putting the pension back in 401(k) retirement plans: Optimal versus default deferred longevity income annuities," Journal of Banking & Finance, Elsevier, vol. 114(C).
    95. Wei-Ting Pan, 2016. "The Impact of Mandatory Savings on Life Cycle Consumption and Portfolio Choice," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2016, January-A.

  8. H. Huang & M. A. Milevsky & T. S. Salisbury, 2013. "Optimal initiation of a GLWB in a variable annuity: no arbitrage approach," Papers 1304.1821, arXiv.org.

    Cited by:

    1. Feng, Runhuan & Huang, Huaxiong, 2016. "Statutory financial reporting for variable annuity guaranteed death benefits: Market practice, mathematical modeling and computation," Insurance: Mathematics and Economics, Elsevier, vol. 67(C), pages 54-64.
    2. Steinorth, Petra & Mitchell, Olivia S., 2015. "Valuing variable annuities with guaranteed minimum lifetime withdrawal benefits," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 246-258.
    3. D'Amico, Guglielmo & Singh, Shakti & Selvamuthu, Dharmaraja, 2024. "Optimal investment-disinvestment choices in health-dependent variable annuity," Insurance: Mathematics and Economics, Elsevier, vol. 117(C), pages 1-15.
    4. Hainaut, Donatien & Deelstra, Griselda, 2014. "Optimal timing for annuitization, based on jump diffusion fund and stochastic mortality," Journal of Economic Dynamics and Control, Elsevier, vol. 44(C), pages 124-146.
    5. Feng, Runhuan & Jing, Xiaochen, 2017. "Analytical valuation and hedging of variable annuity guaranteed lifetime withdrawal benefits," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 36-48.
    6. Chen, Ze & Feng, Runhuan & Li, Hong & Yang, Tianyu, 2024. "Coping with longevity via hedging: Fair dynamic valuation of variable annuities," Insurance: Mathematics and Economics, Elsevier, vol. 117(C), pages 154-169.
    7. Bacinello, Anna Rita & Maggistro, Rosario & Zoccolan, Ivan, 2024. "Risk-neutral valuation of GLWB riders in variable annuities," Insurance: Mathematics and Economics, Elsevier, vol. 114(C), pages 1-14.
    8. Runhuan Feng & Jan Vecer, 2017. "Risk based capital for guaranteed minimum withdrawal benefit," Quantitative Finance, Taylor & Francis Journals, vol. 17(3), pages 471-478, March.
    9. Xu, Wei & Chen, Yuehuan & Coleman, Conrad & Coleman, Thomas F., 2018. "Moment matching machine learning methods for risk management of large variable annuity portfolios," Journal of Economic Dynamics and Control, Elsevier, vol. 87(C), pages 1-20.
    10. Moenig, Thorsten, 2021. "Variable annuities: Market incompleteness and policyholder behavior," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 63-78.

  9. Huaxiong Huang & Moshe A. Milevsky & Thomas S. Salisbury, 2012. "Valuation and hedging of the ruin-contingent life annuity (RCLA)," Papers 1205.3686, arXiv.org.

    Cited by:

    1. Mitchell, O.S. & Piggott, J., 2016. "Workplace-Linked Pensions for an Aging Demographic," Handbook of the Economics of Population Aging, in: Piggott, John & Woodland, Alan (ed.), Handbook of the Economics of Population Aging, edition 1, volume 1, chapter 0, pages 865-904, Elsevier.
    2. Farzad Fard & Ning Rong, 2014. "Pricing and managing risks of ruin contingent life annuities under regime switching variance gamma process," Annals of Finance, Springer, vol. 10(2), pages 315-332, May.

  10. Huaxiong Huang & Moshe A. Milevsky & Thomas S. Salisbury, 2012. "Optimal retirement consumption with a stochastic force of mortality," Papers 1205.2295, arXiv.org.

    Cited by:

    1. Hippolyte d'Albis & Emmanuel Thibault, 2018. "Ambiguous life expectancy and the demand for annuities," PSE-Ecole d'économie de Paris (Postprint) halshs-02072559, HAL.
    2. Huaxiong Huang & Moshe A. Milevsky & Thomas S. Salisbury, 2018. "Retirement spending and biological age," Papers 1811.09921, arXiv.org.
    3. Fischer, Marcel & Jensen, Bjarne Astrup & Koch, Marlene, 2023. "Optimal retirement savings over the life cycle: A deterministic analysis in closed form," Insurance: Mathematics and Economics, Elsevier, vol. 112(C), pages 48-58.
    4. Marcus C. Christiansen, 2013. "Gaussian and Affine Approximation of Stochastic Diffusion Models for Interest and Mortality Rates," Risks, MDPI, vol. 1(3), pages 1-20, October.
    5. David Blake & Nicole El Karoui & Stéphane Loisel & Richard Macminn, 2018. "Longevity risk and capital markets: The 2015–16 update," Post-Print hal-01995778, HAL.
    6. Post, Thomas & Hanewald, Katja, 2013. "Longevity risk, subjective survival expectations, and individual saving behavior," Journal of Economic Behavior & Organization, Elsevier, vol. 86(C), pages 200-220.
    7. Paolo Guasoni & Yu-Jui Huang, 2019. "Consumption, investment and healthcare with aging," Finance and Stochastics, Springer, vol. 23(2), pages 313-358, April.
    8. Wen Chen & Nicolas Langren'e, 2020. "Deep neural network for optimal retirement consumption in defined contribution pension system," Papers 2007.09911, arXiv.org, revised Jul 2020.
    9. Andreas Lichtenstern & Pavel V. Shevchenko & Rudi Zagst, 2019. "Optimal life-cycle consumption and investment decisions under age-dependent risk preferences," Papers 1908.09976, arXiv.org.
    10. Alfredo Omar Palafox-Roca, 2023. "Consumo óptimo en el retiro con diferentes leyes de mortalidad," Remef - Revista Mexicana de Economía y Finanzas Nueva Época REMEF (The Mexican Journal of Economics and Finance), Instituto Mexicano de Ejecutivos de Finanzas, IMEF, vol. 18(3), pages 1-30, Julio - S.
    11. Yassmin Ali & Ming Fang & Pablo A. Arrutia Sota & Stephen Taylor & Xun Wang, 2019. "Social Security Benefit Valuation, Risk, and Optimal Retirement," Risks, MDPI, vol. 7(4), pages 1-31, December.
    12. Christoph Hambel & Holger Kraft & Lorenz S. Schendel & Mogens Steffensen, 2017. "Life Insurance Demand Under Health Shock Risk," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(4), pages 1171-1202, December.
    13. Ewald, Christian-Oliver & Zhang, Aihua, 2017. "On the effects of changing mortality patterns on investment, labour and consumption under uncertainty," Insurance: Mathematics and Economics, Elsevier, vol. 73(C), pages 105-115.
    14. Butt, Adam & Khemka, Gaurav & Warren, Geoffrey J., 2022. "Heterogeneity in optimal investment and drawdown strategies in retirement," Pacific-Basin Finance Journal, Elsevier, vol. 74(C).
    15. Feigenbaum, James, 2016. "Equivalent representations of non-exponential discounting models," Journal of Mathematical Economics, Elsevier, vol. 66(C), pages 58-71.
    16. Menoncin, Francesco & Regis, Luca, 2017. "Longevity-linked assets and pre-retirement consumption/portfolio decisions," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 75-86.
    17. Schendel, Lorenz S., 2014. "Consumption-investment problems with stochastic mortality risk," SAFE Working Paper Series 43, Leibniz Institute for Financial Research SAFE.
    18. Paweł Rokita & Radosław Pietrzyk & Łukasz Feldman, 2014. "Multiobjective Optimization of Financing Household Goals with Multiple Investment Programs," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 15(2), pages 243-268, March.
    19. Francesco Menoncin & Luca Regis, 2015. "Longevity assets and pre-retirement consumption/portfolio decisions," Working Papers 2/2015, IMT School for Advanced Studies Lucca, revised May 2015.
    20. de Kort, J. & Vellekoop, M.H., 2017. "Existence of optimal consumption strategies in markets with longevity risk," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 107-121.
    21. Yang, Qianqian & Ye, Zihan & Chen, Rongda, 2024. "Working longer or working harder? Subjective survival expectations and labor supply in China," International Review of Economics & Finance, Elsevier, vol. 91(C), pages 827-847.
    22. Kraft, Holger & Schendel, Lorenz S. & Steffensen, Mogens, 2014. "Life insurance demand under health shock risk," SAFE Working Paper Series 40, Leibniz Institute for Financial Research SAFE.
    23. Wen Chen & Nicolas Langrené, 2020. "Deep neural network for optimal retirement consumption in defined contribution pension system [Réseau de neurones profond pour consommation à la retraite optimale en système de retraite à cotisatio," Working Papers hal-02909818, HAL.
    24. Paolo Guasoni & Yu-Jui Huang, 2019. "Consumption, Investment, and Healthcare with Aging," Papers 1901.00424, arXiv.org, revised Jan 2019.
    25. Delong, Łukasz & Chen, An, 2016. "Asset allocation, sustainable withdrawal, longevity risk and non-exponential discounting," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 342-352.

  11. Erhan Bayraktar & Moshe Milevsky & David Promislow & Virginia Young, 2008. "Valuation of Mortality Risk via the Instantaneous Sharpe Ratio: Applications to Life Annuities," Papers 0802.3250, arXiv.org.

    Cited by:

    1. Bauer, Daniel & Börger, Matthias & Ruß, Jochen, 2010. "On the pricing of longevity-linked securities," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 139-149, February.
    2. Johnny Siu‐Hang Li & Andrew Cheuk‐Yin Ng, 2011. "Canonical Valuation of Mortality‐Linked Securities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 78(4), pages 853-884, December.
    3. David Blake & Nicole El Karoui & Stéphane Loisel & Richard Macminn, 2018. "Longevity risk and capital markets: The 2015–16 update," Post-Print hal-01995778, HAL.
    4. Karim Barigou & Lukasz Delong, 2020. "Pricing equity-linked life insurance contracts with multiple risk factors by neural networks," Papers 2007.08804, arXiv.org, revised Nov 2021.
    5. Wang, Ting & Young, Virginia R., 2016. "Hedging pure endowments with mortality derivatives," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 238-255.
    6. Emilio Bisetti & Carlo A. Favero & Giacomo Nocera & Claudio Tebaldi, 2013. "A Multivariate Model of Strategic Asset Allocation with Longevity Risk," Working Papers 503, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    7. Da Fonseca, José, 2024. "Pricing guaranteed annuity options in a linear-rational Wishart mortality model," Insurance: Mathematics and Economics, Elsevier, vol. 115(C), pages 122-131.
    8. Ting Wang & Virginia R. Young, 2010. "Hedging Pure Endowments with Mortality Derivatives," Papers 1011.0248, arXiv.org.
    9. Huang, Yu-Lieh & Tsai, Jeffrey Tzuhao & Yang, Sharon S. & Cheng, Hung-Wen, 2014. "Price bounds of mortality-linked security in incomplete insurance market," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 30-39.
    10. Christophette Blanchet-Scalliet & Diana Dorobantu & Yahia Salhi, 2019. "A Model-Point Approach to Indifference Pricing of Life Insurance Portfolios with Dependent Lives," Post-Print hal-01258645, HAL.
    11. Min Zheng, 2015. "Heterogeneous Expectations and Speculative Behavior in Insurance-Linked Securities," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-12, March.
    12. Karim Barigou & Lukasz Delong, 2021. "Pricing equity-linked life insurance contracts with multiple risk factors by neural networks," Post-Print hal-02896141, HAL.
    13. Blake, David & Cairns, Andrew J.G., 2021. "Longevity risk and capital markets: The 2019-20 update," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 395-439.
    14. Leung, Melvern & Fung, Man Chung & O’Hare, Colin, 2018. "A comparative study of pricing approaches for longevity instruments," Insurance: Mathematics and Economics, Elsevier, vol. 82(C), pages 95-116.
    15. Hua Chen & Michael Sherris & Tao Sun & Wenge Zhu, 2013. "Living With Ambiguity: Pricing Mortality-Linked Securities With Smooth Ambiguity Preferences," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 705-732, September.
    16. Li, Han & Liu, Haibo & Tang, Qihe & Yuan, Zhongyi, 2023. "Pricing extreme mortality risk in the wake of the COVID-19 pandemic," Insurance: Mathematics and Economics, Elsevier, vol. 108(C), pages 84-106.
    17. Christophette Blanchet-Scalliet & Diana Dorobantu & Yahia Salhi, 2019. "A Model-Point Approach to Indifference Pricing of Life Insurance Portfolios with Dependent Lives," Methodology and Computing in Applied Probability, Springer, vol. 21(2), pages 423-448, June.
    18. Claudia Ceci & Katia Colaneri & Alessandra Cretarola, 2018. "Indifference pricing of pure endowments via BSDEs under partial information," Papers 1804.00223, arXiv.org, revised Jul 2020.
    19. Chen, Chang-Chih & Chang, Chia-Chien & Sun, Edward W. & Yu, Min-Teh, 2022. "Optimal decision of dynamic wealth allocation with life insurance for mitigating health risk under market incompleteness," European Journal of Operational Research, Elsevier, vol. 300(2), pages 727-742.
    20. Bahl, Raj Kumari & Sabanis, Sotirios, 2021. "Model-independent price bounds for Catastrophic Mortality Bonds," Insurance: Mathematics and Economics, Elsevier, vol. 96(C), pages 276-291.
    21. Deelstra, Griselda & Grasselli, Martino & Van Weverberg, Christopher, 2016. "The role of the dependence between mortality and interest rates when pricing Guaranteed Annuity Options," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 205-219.
    22. Yijia Lin & Sheen Liu & Jifeng Yu, 2013. "Pricing Mortality Securities With Correlated Mortality Indexes," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(4), pages 921-948, December.
    23. Jang, Bong-Gyu & Koo, Hyeng Keun & Park, Seyoung, 2019. "Optimal consumption and investment with insurer default risk," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 44-56.
    24. Ballestra, Luca Vincenzo & Ottaviani, Massimiliano & Pacelli, Graziella, 2012. "An operator splitting harmonic differential quadrature approach to solve Young’s model for life insurance risk," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 442-448.

Articles

  1. Milevsky, Moshe A. & Salisbury, Thomas S., 2022. "Refundable income annuities: Feasibility of money-back guarantees," Insurance: Mathematics and Economics, Elsevier, vol. 105(C), pages 175-193.
    See citations under working paper version above.
  2. Milevsky, Moshe A., 2020. "Calibrating Gompertz in reverse: What is your longevity-risk-adjusted global age?," Insurance: Mathematics and Economics, Elsevier, vol. 92(C), pages 147-161.

    Cited by:

    1. An Chen & Thai Nguyen & Thorsten Sehner, 2022. "Unit-Linked Tontine: Utility-Based Design, Pricing and Performance," Risks, MDPI, vol. 10(4), pages 1-27, April.
    2. Chen, An & Rach, Manuel, 2023. "Actuarial fairness and social welfare in mixed-cohort tontines," Insurance: Mathematics and Economics, Elsevier, vol. 111(C), pages 214-229.
    3. Carlos E. Ortiz & Charles A. Stone & Anne Zissu, 2023. "The shock of COVID‐19 and the shock of rapid vaccine development on the value of senior life settlement contracts," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 26(3), pages 393-406, October.
    4. Mattia Mezzelani & Gloria Polinesi & Francesca Mariani & Maria Cristina Recchioni, 2021. "Longevity-risk-adjusted global age as a measure of well-being," RIEDS - Rivista Italiana di Economia, Demografia e Statistica - The Italian Journal of Economic, Demographic and Statistical Studies, SIEDS Societa' Italiana di Economia Demografia e Statistica, vol. 75(4), pages 28-30, October-D.
    5. Blake, David & Cairns, Andrew J.G., 2021. "Longevity risk and capital markets: The 2019-20 update," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 395-439.
    6. Chen, An & Guillen, Montserrat & Rach, Manuel, 2021. "Fees in tontines," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 89-106.

  3. Milevsky, Moshe A., 2020. "Swimming with wealthy sharks: longevity, volatility and the value of risk pooling," Journal of Pension Economics and Finance, Cambridge University Press, vol. 19(2), pages 217-246, April.
    See citations under working paper version above.
  4. Moshe A. Milevsky & Huaxiong Huang, 2018. "The Utility Value of Longevity Risk Pooling: Analytic Insights," North American Actuarial Journal, Taylor & Francis Journals, vol. 22(4), pages 574-590, October.

    Cited by:

    1. Milevsky, Moshe A., 2020. "Swimming with wealthy sharks: longevity, volatility and the value of risk pooling," Journal of Pension Economics and Finance, Cambridge University Press, vol. 19(2), pages 217-246, April.
    2. Olga M. Fuentes & Richard K. Fullmer & Manuel García-Huitrón, 2024. "A sustainable, variable lifetime retirement income solution for the Chilean pension system," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 49(2), pages 234-258, April.
    3. Bernard, Carole & De Gennaro Aquino, Luca & Levante, Lucia, 2021. "Optimal annuity demand for general expected utility agents," Insurance: Mathematics and Economics, Elsevier, vol. 101(PA), pages 70-79.

  5. Huaxiong Huang & Moshe A. Milevsky & Virginia R. Young, 2017. "Optimal Purchasing of Deferred Income Annuities When Payout Yields are Mean-Reverting," Review of Finance, European Finance Association, vol. 21(1), pages 327-361.

    Cited by:

    1. Owadally, Iqbal & Jang, Chul & Clare, Andrew, 2021. "Optimal investment for a retirement plan with deferred annuities," Insurance: Mathematics and Economics, Elsevier, vol. 98(C), pages 51-62.
    2. Horneff, Vanya & Maurer, Raimond & Mitchell, Olivia S., 2023. "Fixed and variable longevity annuities in defined contribution plans: Optimal retirement portfolios taking social security into account," CFS Working Paper Series 684, Center for Financial Studies (CFS).
    3. Vanya Horneff & Raimond Maurer & Olivia S. Mitchell, 2023. "Fixed and variable longevity income annuities in defined contribution plans: Optimal retirement portfolios taking social security into account," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 90(4), pages 831-860, December.
    4. F. Habib & H. Huang & A. Mauskopf & B. Nikolic & T. S. Salisbury, 2021. "Optimal allocation to deferred income annuities," Papers 2111.01234, arXiv.org.
    5. Horneff, Vanya & Maurer, Raimond & Mitchell, Olivia S., 2018. "Putting the pension back in 401(k) retirement plans: Optimal versus default longevity income annuities," CFS Working Paper Series 607, Center for Financial Studies (CFS).
    6. Maria Alexandrova & Nadine Gatzert, 2019. "What Do We Know About Annuitization Decisions?," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 22(1), pages 57-100, March.
    7. Berstein, Solange & Morales, Marco, 2021. "The role of a longevity insurance for defined contribution pension systems," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 233-240.
    8. Owadally, Iqbal & Jang, Chul & Clare, Andrew, 2021. "Optimal investment for a retirement plan with deferred annuities allowing for inflation and labour income risk," European Journal of Operational Research, Elsevier, vol. 295(3), pages 1132-1146.
    9. Butt, Adam & Khemka, Gaurav & Warren, Geoffrey J., 2022. "Heterogeneity in optimal investment and drawdown strategies in retirement," Pacific-Basin Finance Journal, Elsevier, vol. 74(C).
    10. Habib, F. & Huang, H. & Mauskopf, A. & Nikolic, B. & Salisbury, T.S., 2020. "Optimal allocation to Deferred Income Annuities," Insurance: Mathematics and Economics, Elsevier, vol. 90(C), pages 94-104.
    11. Park, Seyoung, 2020. "Verification theorems for models of optimal consumption and investment with annuitization," Mathematical Social Sciences, Elsevier, vol. 103(C), pages 36-44.
    12. Horneff, Vanya & Maurer, Raimond & Mitchell, Olivia S., 2020. "Putting the pension back in 401(k) retirement plans: Optimal versus default deferred longevity income annuities," Journal of Banking & Finance, Elsevier, vol. 114(C).

  6. Huang, H. & Milevsky, M.A. & Salisbury, T.S., 2017. "Retirement spending and biological age," Journal of Economic Dynamics and Control, Elsevier, vol. 84(C), pages 58-76.
    See citations under working paper version above.
  7. Moshe A. Milevsky, 2016. "It’s Time to Retire Ruin (Probabilities)," Financial Analysts Journal, Taylor & Francis Journals, vol. 72(2), pages 8-12, March.

    Cited by:

    1. Christopher J. Rook, 2017. "Multivariate Density Modeling for Retirement Finance," Papers 1709.04070, arXiv.org.

  8. Huang, Huaxiong & Milevsky, Moshe A., 2016. "Longevity risk and retirement income tax efficiency: A location spending rate puzzle," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 50-62.

    Cited by:

    1. Fischer, Marcel & Jensen, Bjarne Astrup & Koch, Marlene, 2023. "Optimal retirement savings over the life cycle: A deterministic analysis in closed form," Insurance: Mathematics and Economics, Elsevier, vol. 112(C), pages 48-58.
    2. Chen, An & Hieber, Peter & Nguyen, Thai, 2019. "Constrained non-concave utility maximization: An application to life insurance contracts with guarantees," European Journal of Operational Research, Elsevier, vol. 273(3), pages 1119-1135.
    3. Marcel Bräutigam & Montserrat Guillén & Jens P. Nielsen, 2017. "Facing Up to Longevity with Old Actuarial Methods: A Comparison of Pooled Funds and Income Tontines," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 42(3), pages 406-422, July.

  9. Milevsky, Moshe A. & Salisbury, Thomas S., 2016. "Equitable Retirement Income Tontines: Mixing Cohorts Without Discriminating," ASTIN Bulletin, Cambridge University Press, vol. 46(3), pages 571-604, September.
    See citations under working paper version above.
  10. Narat Charupat & Mark J. Kamstra & Moshe A. Milevsky, 2016. "The Sluggish and Asymmetric Reaction of Life Annuity Prices to Changes in Interest Rates," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(3), pages 519-555, September.

    Cited by:

    1. David Blanchett & Michael Finke & Branislav Nikolic, 2021. "How competitive are income annuity providers over time?," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 24(2), pages 207-214, June.
    2. Vanya Horneff & Raimond Maurer & Olivia S. Mitchell, 2023. "Fixed and variable longevity income annuities in defined contribution plans: Optimal retirement portfolios taking social security into account," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 90(4), pages 831-860, December.
    3. Kliger, Doron & Qadan, Mahmoud, 2019. "The High Holidays: Psychological mechanisms of honesty in real-life financial decisions," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 78(C), pages 121-137.
    4. Moshe A. Milevsky & Thomas S. Salisbury, 2021. "Refundable income annuities: Feasibility of money-back guarantees," Papers 2111.01239, arXiv.org.
    5. Thorsten Moenig, 2022. "It's RILA time: An introduction to registered index‐linked annuities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(2), pages 339-369, June.
    6. David Blanchett & Branislav Nikolic, 2023. "Historical pricing variability in immediate and deferred income annuities," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 26(2), pages 271-280, July.

  11. Milevsky, Moshe A. & Salisbury, Thomas S., 2015. "Optimal retirement income tontines," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 91-105.
    See citations under working paper version above.
  12. Milevsky, Moshe A., 2014. "Portfolio choice and longevity risk in the late seventeenth century: a re-examination of the first English tontine," Financial History Review, Cambridge University Press, vol. 21(3), pages 225-258, December.

    Cited by:

    1. Annamaria Olivieri, 2021. "Designing Annuities with Flexibility Opportunities in an Uncertain Mortality Scenario," Risks, MDPI, vol. 9(11), pages 1-18, October.
    2. Moshe A. Milevsky & Thomas S. Salisbury, 2016. "Optimal retirement income tontines," Papers 1610.10078, arXiv.org.
    3. Yikang Li & Casey Rothschild, 2020. "Selection and Redistribution in the Irish Tontines of 1773, 1775, and 1777," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 87(3), pages 719-750, September.
    4. Chen, An & Hieber, Peter & Rach, Manuel, 2021. "Optimal retirement products under subjective mortality beliefs," Insurance: Mathematics and Economics, Elsevier, vol. 101(PA), pages 55-69.

  13. Huang, H. & Milevsky, M.A. & Salisbury, T.S., 2014. "Optimal initiation of a GLWB in a variable annuity: No Arbitrage approach," Insurance: Mathematics and Economics, Elsevier, vol. 56(C), pages 102-111.
    See citations under working paper version above.
  14. H. Huang & M. A. Milevsky & T. S. Salisbury, 2014. "Valuation and Hedging of the Ruin-Contingent Life Annuity (RCLA)," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 81(2), pages 367-395, June.
    See citations under working paper version above.
  15. Moshe A. Milevsky, 2014. "Rethinking RRIF Withdrawals: New Rates and Methodologies for New Realities," Canadian Tax Journal, Canadian Tax Foundation, vol. 62(4), pages 971-983.

    Cited by:

    1. William B.P. Robson & Alexandre Laurin, 2015. "Drawing Down Our Savings: The Prospects for RRIF Holders Following the 2015 Federal Budget," e-briefs 210, C.D. Howe Institute.
    2. Huang, Huaxiong & Milevsky, Moshe A., 2016. "Longevity risk and retirement income tax efficiency: A location spending rate puzzle," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 50-62.

  16. Huang, Huaxiong & Milevsky, Moshe A. & Salisbury, Thomas S., 2012. "Optimal retirement consumption with a stochastic force of mortality," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 282-291.
    See citations under working paper version above.
  17. Moshe A. Milevsky & Keke Song, 2010. "Do Markets Like Frozen Defined Benefit Pensions? An Event Study," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(4), pages 893-909, December.

    Cited by:

    1. Rauh, Joshua D. & Stefanescu, Irina & Zeldes, Stephen P., 2020. "Cost saving and the freezing of corporate pension plans," Journal of Public Economics, Elsevier, vol. 188(C).
    2. Kun Yu, 2016. "Excess of the PBO over the ABO and hard pension freezes," Review of Quantitative Finance and Accounting, Springer, vol. 46(4), pages 819-846, May.
    3. Zhao, Zucheng & Sutcliffe, Charles, 2024. "Why are pension schemes frozen, and how does a freeze affect the Employer's risk?," International Review of Economics & Finance, Elsevier, vol. 94(C).
    4. Li, Zezeng & Kara, Alper, 2022. "Pension de-risking choice and firm risk: Traditional versus innovative strategies," International Review of Financial Analysis, Elsevier, vol. 81(C).
    5. Randy Jorgensen & Tirimba Obonyo & John R. Wingender, 2024. "De-risking pension plans: the impact on firm value from lump-sum buyouts," Risk Management, Palgrave Macmillan, vol. 26(3), pages 1-19, September.
    6. Wei Huang & Bin Qiu, 2022. "Passive insider trading before pension freezes," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 45(3), pages 607-631, September.
    7. Joshua Rauh & Irina Stefanescu & Stephen Zeldes, 2013. "Cost shifting and the freezing of corporate pension plans," Finance and Economics Discussion Series 2013-82, Board of Governors of the Federal Reserve System (U.S.).
    8. Divya Anantharaman & Feng Gao & Hariom Manchiraju, 2022. "Does social responsibility begin at home? The relation between firms’ pension policies and corporate social responsibility (CSR) activities," Review of Accounting Studies, Springer, vol. 27(1), pages 76-121, March.
    9. Vafeas, Nikos & Vlittis, Adamos, 2018. "Independent directors and defined benefit pension plan freezes," Journal of Corporate Finance, Elsevier, vol. 50(C), pages 505-518.

  18. Bayraktar, Erhan & Milevsky, Moshe A. & David Promislow, S. & Young, Virginia R., 2009. "Valuation of mortality risk via the instantaneous Sharpe ratio: Applications to life annuities," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 676-691, March.
    See citations under working paper version above.
  19. Moshe A. Milevsky & Vladyslav Kyrychenko, 2008. "Portfolio Choice with Puts: Evidence from Variable Annuities," Financial Analysts Journal, Taylor & Francis Journals, vol. 64(3), pages 80-95, May.

    Cited by:

    1. Post, Thomas, 2009. "Individual welfare gains from deferred life-annuities under stochastic Lee-Carter mortality," SFB 649 Discussion Papers 2009-022, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.

  20. Huaxiong Huang & Moshe A. Milevsky & Jin Wang, 2008. "Portfolio Choice and Life Insurance: The CRRA Case," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(4), pages 847-872, December.

    Cited by:

    1. Curatola, Giuliano, 2022. "Price impact, strategic interaction and portfolio choice," The North American Journal of Economics and Finance, Elsevier, vol. 59(C).
    2. Mahayni, Antje & Schneider, Judith C., 2012. "Variable annuities and the option to seek risk: Why should you diversify?," Journal of Banking & Finance, Elsevier, vol. 36(9), pages 2417-2428.
    3. Luis V. M. Freitas & Wilfredo L. Maldonado, 2021. "Quadratic Funding with Incomplete Information," Working Papers, Department of Economics 2021_24, University of São Paulo (FEA-USP).
    4. Fang, Ming & Li, Haiyang & Wang, Qin, 2021. "Risk tolerance and household wealth--Evidence from Chinese households," Economic Modelling, Elsevier, vol. 94(C), pages 885-895.
    5. Chen, An & Hentschel, Felix & Klein, Jakob K., 2015. "A utility- and CPT-based comparison of life insurance contracts with guarantees," Journal of Banking & Finance, Elsevier, vol. 61(C), pages 327-339.
    6. Dacev, Nikola, 2017. "The Necessity Of Legal Arrangement Of Unit-Linked Life Insurance Products," UTMS Journal of Economics, University of Tourism and Management, Skopje, Macedonia, vol. 8(3), pages 259-269.
    7. Rodwell Kufakunesu & Calisto Guambe, 2018. "On the optimal investment-consumption and life insurance selection problem with an external stochastic factor," Papers 1808.04608, arXiv.org.
    8. Pietrzyk Radosław & Rokita Paweł, 2015. "Stochastic Goals in Financial Planning for a Two-Person Household," Statistics in Transition New Series, Statistics Poland, vol. 16(1), pages 111-136, March.
    9. Chen, Shumin & Luo, Dan & Yao, Haixiang, 2024. "Optimal investor life cycle decisions with time-inconsistent preferences," Journal of Banking & Finance, Elsevier, vol. 161(C).
    10. Lin, Wen-chang & Lu, Jin-ray, 2012. "Risky asset allocation and consumption rule in the presence of background risk and insurance markets," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 150-158.
    11. Peng, Xingchun & Li, Baihui, 2023. "Optimal investment, consumption and life insurance purchase with learning about return predictability," Insurance: Mathematics and Economics, Elsevier, vol. 113(C), pages 70-95.
    12. Kwak, Minsuk & Lim, Byung Hwa, 2014. "Optimal portfolio selection with life insurance under inflation risk," Journal of Banking & Finance, Elsevier, vol. 46(C), pages 59-71.
    13. Han, Nan-Wei & Hung, Mao-Wei, 2017. "Optimal consumption, portfolio, and life insurance policies under interest rate and inflation risks," Insurance: Mathematics and Economics, Elsevier, vol. 73(C), pages 54-67.
    14. Wang, Hao & Siu, Tak Kuen & Hu, Shujie & Wang, Ning, 2024. "Life-cycle model with subsistence consumption constraint and state-dependent utilities," The North American Journal of Economics and Finance, Elsevier, vol. 73(C).
    15. Christoph Hambel & Holger Kraft & Lorenz S. Schendel & Mogens Steffensen, 2017. "Life Insurance Demand Under Health Shock Risk," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(4), pages 1171-1202, December.
    16. Yang Wang & Jianwei Lin & Dandan Chen & Jizhou Zhang, 2023. "Optimal Investment–Consumption–Insurance Problem of a Family with Stochastic Income under the Exponential O-U Model," Mathematics, MDPI, vol. 11(19), pages 1-19, October.
    17. Hun Seog, S. & Hong, Jimin, 2022. "Market insurance and endogenous saving with multiple loss states," The North American Journal of Economics and Finance, Elsevier, vol. 61(C).
    18. Cai, Mingchao & Chen, Zhihong, 2019. "Does country background risk matter to the strategic asset allocation of sovereign wealth funds?," Pacific-Basin Finance Journal, Elsevier, vol. 57(C).
    19. Srbinoski Bojan & Strozzi Fernanda & Poposki Klime & Born Patricia H., 2020. "Trends in Life Insurance Demand and Lapse Literature," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 14(2), pages 1-46, July.
    20. Antje Mahayni & Matthias Muck, 2017. "The benefit of life insurance contracts with capped index participation when stock prices are subject to jump risk," Review of Derivatives Research, Springer, vol. 20(3), pages 281-308, October.
    21. Wei, Jiaqin & Cheng, Xiang & Jin, Zhuo & Wang, Hao, 2020. "Optimal consumption–investment and life-insurance purchase strategy for couples with correlated lifetimes," Insurance: Mathematics and Economics, Elsevier, vol. 91(C), pages 244-256.
    22. Branger, Nicole & Mahayni, Antje & Schneider, Judith C., 2010. "On the optimal design of insurance contracts with guarantees," Insurance: Mathematics and Economics, Elsevier, vol. 46(3), pages 485-492, June.
    23. Jarner, Søren Fiig & Kronborg, Morten Tolver, 2016. "Entrance times of random walks: With applications to pension fund modeling," Insurance: Mathematics and Economics, Elsevier, vol. 67(C), pages 1-20.
    24. Kwak, Minsuk & Shin, Yong Hyun & Choi, U Jin, 2011. "Optimal investment and consumption decision of a family with life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 48(2), pages 176-188, March.
    25. Chen, Chang-Chih & Chang, Chia-Chien & Sun, Edward W. & Yu, Min-Teh, 2022. "Optimal decision of dynamic wealth allocation with life insurance for mitigating health risk under market incompleteness," European Journal of Operational Research, Elsevier, vol. 300(2), pages 727-742.
    26. Schendel, Lorenz S., 2014. "Consumption-investment problems with stochastic mortality risk," SAFE Working Paper Series 43, Leibniz Institute for Financial Research SAFE.
    27. Wenyuan Li & Pengyu Wei, 2024. "Optimal life insurance and annuity decision under money illusion," Papers 2410.20128, arXiv.org.
    28. Wenyuan Li & Pengyu Wei, 2024. "Constrained portfolio optimization in a life-cycle model," Papers 2410.20060, arXiv.org.
    29. Antje Mahayni & Oliver Lubos & Sascha Offermann, 2021. "Minimum return rate guarantees under default risk: optimal design of quantile guarantees," Review of Managerial Science, Springer, vol. 15(7), pages 1821-1848, October.
    30. Rodwell Kufakunesu & Calisto Guambe, 2018. "Optimal investment-consumption and life insurance with capital constraints," Papers 1808.04613, arXiv.org.
    31. Kraft, Holger & Schendel, Lorenz S. & Steffensen, Mogens, 2014. "Life insurance demand under health shock risk," SAFE Working Paper Series 40, Leibniz Institute for Financial Research SAFE.
    32. Antje Mahayni & Judith C. Schneider, 2016. "Minimum return guarantees, investment caps, and investment flexibility," Review of Derivatives Research, Springer, vol. 19(2), pages 85-111, July.
    33. Radosław Pietrzyk & Paweł Rokita, 2015. "Stochastic goals in financial planning for a two-person household," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 16(1), pages 111-136, May.
    34. Wei-Ting Pan, 2016. "The Impact of Mandatory Savings on Life Cycle Consumption and Portfolio Choice," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2016, January-A.

  21. Huang, Huaxiong & Milevsky, Moshe A., 2008. "Portfolio choice and mortality-contingent claims: The general HARA case," Journal of Banking & Finance, Elsevier, vol. 32(11), pages 2444-2452, November.

    Cited by:

    1. Horneff, Wolfram & Maurer, Raimond & Rogalla, Ralph, 2010. "Dynamic portfolio choice with deferred annuities," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2652-2664, November.
    2. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2009. "Asset allocation and location over the life cycle with investment-linked survival-contingent payouts," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1688-1699, September.
    3. Hiraguchi, Ryoji, 2009. "Non-concavity problems in the dynamic macroeconomic models: A note," Journal of Banking & Finance, Elsevier, vol. 33(3), pages 568-572, March.
    4. Li, Xun & Yu, Xiang & Zhang, Qinyi, 2023. "Optimal consumption and life insurance under shortfall aversion and a drawdown constraint," Insurance: Mathematics and Economics, Elsevier, vol. 108(C), pages 25-45.
    5. Aleksandar Arandjelovi'c & Geoffrey Kingston & Pavel V. Shevchenko, 2023. "Life cycle insurance, bequest motives and annuity loads," Papers 2310.06274, arXiv.org.
    6. Arandjelović, Aleksandar & Kingston, Geoffrey & Shevchenko, Pavel V., 2023. "Life cycle insurance, bequest motives and annuity loads," Journal of Economic Dynamics and Control, Elsevier, vol. 157(C).
    7. Charles Sutcliffe, 2013. "Trading Death: The Implications of Annuity Replication for the Annuity Puzzle, Arbitrage, Speculation and Portfolios," ICMA Centre Discussion Papers in Finance icma-dp2013-06, Henley Business School, University of Reading.
    8. Guambe, Calisto & Kufakunesu, Rodwell, 2015. "A note on optimal investment–consumption–insurance in a Lévy market," Insurance: Mathematics and Economics, Elsevier, vol. 65(C), pages 30-36.
    9. Vanya Horneff & Raimond Maurer & Olivia S. Mitchell & Ralph Rogalla, 2013. "Optimal Life Cycle Portfolio Choice with Variable Annuities Offering Liquidity and Investment Downside Protection," NBER Working Papers 19206, National Bureau of Economic Research, Inc.
    10. Erhan Bayraktar & Virginia Young, 2013. "Life Insurance Purchasing to Maximize Utility of Household Consumption," North American Actuarial Journal, Taylor & Francis Journals, vol. 17(2), pages 114-135.
    11. Chen, An & Ferrari, Giorgio & Zhu, Shihao, 2023. "Striking the Balance: Life Insurance Timing and Asset Allocation in Financial Planning," Center for Mathematical Economics Working Papers 684, Center for Mathematical Economics, Bielefeld University.
    12. Kwak, Minsuk & Lim, Byung Hwa, 2014. "Optimal portfolio selection with life insurance under inflation risk," Journal of Banking & Finance, Elsevier, vol. 46(C), pages 59-71.
    13. Han, Nan-Wei & Hung, Mao-Wei, 2017. "Optimal consumption, portfolio, and life insurance policies under interest rate and inflation risks," Insurance: Mathematics and Economics, Elsevier, vol. 73(C), pages 54-67.
    14. Andreas Lichtenstern & Pavel V. Shevchenko & Rudi Zagst, 2019. "Optimal life-cycle consumption and investment decisions under age-dependent risk preferences," Papers 1908.09976, arXiv.org.
    15. Yang Wang & Jianwei Lin & Dandan Chen & Jizhou Zhang, 2023. "Optimal Investment–Consumption–Insurance Problem of a Family with Stochastic Income under the Exponential O-U Model," Mathematics, MDPI, vol. 11(19), pages 1-19, October.
    16. Menoncin, Francesco & Regis, Luca, 2020. "Optimal life-cycle labour supply, consumption, and investment: The role of longevity-linked assets," Journal of Banking & Finance, Elsevier, vol. 120(C).
    17. Shi, Xiaojun & Wang, Hung-Jen & Xing, Chunbing, 2015. "The role of life insurance in an emerging economy: Human capital protection, assets allocation and social interaction," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 19-33.
    18. Lim, Byung Hwa & Kwak, Minsuk, 2016. "Bequest motive and incentive to retire: Consumption, investment, retirement, and life insurance strategies," Finance Research Letters, Elsevier, vol. 16(C), pages 19-27.
    19. Geoffrey Kingston & Susan Thorp, 2019. "Superannuation in Australia: A Survey of the Literature," The Economic Record, The Economic Society of Australia, vol. 95(308), pages 141-160, March.
    20. An Chen & Giorgio Ferrari & Shihao Zhu, 2023. "Striking the Balance: Life Insurance Timing and Asset Allocation in Financial Planning," Papers 2312.02943, arXiv.org.
    21. Wei, Jiaqin & Cheng, Xiang & Jin, Zhuo & Wang, Hao, 2020. "Optimal consumption–investment and life-insurance purchase strategy for couples with correlated lifetimes," Insurance: Mathematics and Economics, Elsevier, vol. 91(C), pages 244-256.
    22. Rui Jiao & Wei Liu & Yijun Hu, 2023. "The Optimal Consumption, Investment and Life Insurance for Wage Earners under Inside Information and Inflation," Mathematics, MDPI, vol. 11(15), pages 1-18, August.
    23. Muck, Matthias, 2010. "Trading strategies with partial access to the derivatives market," Journal of Banking & Finance, Elsevier, vol. 34(6), pages 1288-1298, June.
    24. Jarner, Søren Fiig & Kronborg, Morten Tolver, 2016. "Entrance times of random walks: With applications to pension fund modeling," Insurance: Mathematics and Economics, Elsevier, vol. 67(C), pages 1-20.
    25. Menoncin, Francesco & Regis, Luca, 2017. "Longevity-linked assets and pre-retirement consumption/portfolio decisions," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 75-86.
    26. Kwak, Minsuk & Shin, Yong Hyun & Choi, U Jin, 2011. "Optimal investment and consumption decision of a family with life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 48(2), pages 176-188, March.
    27. Wenyuan Li & Pengyu Wei, 2024. "Optimal life insurance and annuity decision under money illusion," Papers 2410.20128, arXiv.org.
    28. Francesco Menoncin & Luca Regis, 2015. "Longevity assets and pre-retirement consumption/portfolio decisions," Working Papers 2/2015, IMT School for Advanced Studies Lucca, revised May 2015.
    29. de Kort, J. & Vellekoop, M.H., 2017. "Existence of optimal consumption strategies in markets with longevity risk," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 107-121.

  22. Milevsky, Moshe A. & Young, Virginia R., 2007. "The timing of annuitization: Investment dominance and mortality risk," Insurance: Mathematics and Economics, Elsevier, vol. 40(1), pages 135-144, January.

    Cited by:

    1. Bauer, Daniel & Börger, Matthias & Ruß, Jochen, 2010. "On the pricing of longevity-linked securities," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 139-149, February.
    2. Bauer Daniel & Weber Frederik, 2008. "Assessing Investment and Longevity Risks within Immediate Annuities," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 3(1), pages 1-24, September.
    3. Pashchenko, Svetlana, 2012. "Accounting for non-annuitization," MPRA Paper 42792, University Library of Munich, Germany.
    4. Halimah Sani SAMBO & Shehu Jafaru SALISU, 2020. "Impact Of Life Annuity As Payment Option On Nigerian Pension Funds," Proceedings of Administration and Public Management International Conference, Research Centre in Public Administration and Public Services, Bucharest, Romania, vol. 16(1), pages 103-111, October.
    5. Post, Thomas, 2009. "Individual welfare gains from deferred life-annuities under stochastic Lee-Carter mortality," SFB 649 Discussion Papers 2009-022, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    6. Bauer, Daniel & Weber, Frederik, 2007. "Assessing Investment and Longevity Risks within Immediate Annuities," Discussion Papers in Business Administration 1982, University of Munich, Munich School of Management.
    7. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Dus, Ivica, 2008. "Following the rules: Integrating asset allocation and annuitization in retirement portfolios," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 396-408, February.
    8. Huang, Rachel J. & Tsai, Jeffrey T. & Tzeng, Larry Y., 2008. "Government-provided annuities under insolvency risk," Insurance: Mathematics and Economics, Elsevier, vol. 43(3), pages 377-385, December.
    9. Sanders, Lisanne & De Waegenaere, Anja & Nijman, Theo E., 2013. "When can insurers offer products that dominate delayed old-age pension benefit claiming?," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 134-149.
    10. Horneff, Vanya & Kaschützke, Barbara & Maurer, Raimond & Rogalla, Ralph, 2014. "Welfare implications of product choice regulation during the payout phase of funded pensions," Journal of Pension Economics and Finance, Cambridge University Press, vol. 13(3), pages 272-296, July.
    11. Sanders, E.A.T. & De Waegenaere, A.M.B. & Nijman, T.E., 2010. "When Can Insurers Offer Products That Dominate Delayed Old-Age Pension Benefit Claiming?," Other publications TiSEM ea3f9bbb-92ce-4dfe-a1fe-e, Tilburg University, School of Economics and Management.
    12. Zvi Bodie & Jérôme Detemple & Marcel Rindisbacher, 2009. "Life-Cycle Finance and the Design of Pension Plans," Annual Review of Financial Economics, Annual Reviews, vol. 1(1), pages 249-286, November.
    13. Lambregts, Timo R. & Schut, Frederik T., 2020. "Displaced, disliked and misunderstood: A systematic review of the reasons for low uptake of long-term care insurance and life annuities," The Journal of the Economics of Ageing, Elsevier, vol. 17(C).
    14. Narat Charupat & Mark J. Kamstra & Moshe A. Milevsky, 2016. "The Sluggish and Asymmetric Reaction of Life Annuity Prices to Changes in Interest Rates," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(3), pages 519-555, September.

  23. Milevsky, Moshe A. & Young, Virginia R., 2007. "Annuitization and asset allocation," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 3138-3177, September.
    See citations under working paper version above.
  24. M. A. Milevsky & S. D. Promislow & V. R. Young, 2006. "Killing the Law of Large Numbers: Mortality Risk Premiums and the Sharpe Ratio," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 673-686, December.

    Cited by:

    1. Bauer, Daniel & Börger, Matthias & Ruß, Jochen, 2010. "On the pricing of longevity-linked securities," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 139-149, February.
    2. Bayraktar, Erhan & Milevsky, Moshe A. & David Promislow, S. & Young, Virginia R., 2009. "Valuation of mortality risk via the instantaneous Sharpe ratio: Applications to life annuities," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 676-691, March.
    3. Christophette Blanchet-Scalliet & Etienne Chevalier & Idris Kharroubi & Thomas Lim, 2015. "Max–Min Optimization Problem For Variable Annuities Pricing," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 18(08), pages 1-35, December.
    4. Chen, Ze & Chen, Bingzheng & Dhaene, Jan & Yang, Tianyu, 2021. "Fair dynamic valuation of insurance liabilities via convex hedging," Insurance: Mathematics and Economics, Elsevier, vol. 98(C), pages 1-13.
    5. Schmeck, Maren Diane & Schmidli, Hanspeter, 2021. "Mortality options: The point of view of an insurer," Insurance: Mathematics and Economics, Elsevier, vol. 96(C), pages 98-115.
    6. Wang, Ting & Young, Virginia R., 2016. "Hedging pure endowments with mortality derivatives," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 238-255.
    7. M. Martin Boyer & Joanna Mejza & Lars Stentoft, 2014. "Measuring Longevity Risk: An Application to the Royal Canadian Mounted Police Pension Plan," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 17(1), pages 37-59, March.
    8. Emilio Bisetti & Carlo A. Favero & Giacomo Nocera & Claudio Tebaldi, 2013. "A Multivariate Model of Strategic Asset Allocation with Longevity Risk," Working Papers 503, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    9. Matheus R Grasselli & Sebastiano Silla, 2009. "A policyholder's utility indifference valuation model for the guaranteed annuity option," Papers 0908.3196, arXiv.org.
    10. Anja De Waegenaere & Bertrand Melenberg & Ralph Stevens, 2010. "Longevity Risk," De Economist, Springer, vol. 158(2), pages 151-192, June.
    11. Huang, Rachel J. & Tsai, Jeffrey T. & Tzeng, Larry Y., 2008. "Government-provided annuities under insolvency risk," Insurance: Mathematics and Economics, Elsevier, vol. 43(3), pages 377-385, December.
    12. Ting Wang & Virginia R. Young, 2010. "Hedging Pure Endowments with Mortality Derivatives," Papers 1011.0248, arXiv.org.
    13. Benjamin Avanzi & Lewis de Felice, 2023. "Optimal Strategies for the Decumulation of Retirement Savings under Differing Appetites for Liquidity and Investment Risks," Papers 2312.14355, arXiv.org, revised Mar 2024.
    14. Hanbali, Hamza & Denuit, Michel & Dhaene, Jan & Trufin, Julien, 2019. "A dynamic equivalence principle for systematic longevity risk management," Insurance: Mathematics and Economics, Elsevier, vol. 86(C), pages 158-167.
    15. Catherine Donnelly, 2011. "Quantifying mortality risk in small defined-benefit pension schemes," Papers 1107.1380, arXiv.org, revised Nov 2011.
    16. Barigou, Karim & Chen, Ze & Dhaene, Jan, 2019. "Fair dynamic valuation of insurance liabilities: Merging actuarial judgement with market- and time-consistency," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 19-29.
    17. Tsai, Jeffrey T. & Wang, Jennifer L. & Tzeng, Larry Y., 2010. "On the optimal product mix in life insurance companies using conditional value at risk," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 235-241, February.
    18. Susanna Levantesi & Massimiliano Menzietti, 2017. "Maximum Market Price of Longevity Risk under Solvency Regimes: The Case of Solvency II," Risks, MDPI, vol. 5(2), pages 1-21, May.
    19. Nendel, Max & Riedel, Frank & Schmeck, Maren Diane, 2021. "A decomposition of general premium principles into risk and deviation," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 193-209.
    20. Helena Aro, 2013. "Systematic and non-systematic mortality risk in pension portfolios," Papers 1307.8020, arXiv.org, revised Jul 2013.

  25. Moshe A. Milevsky & Kristen S. Moore & Virginia R. Young, 2006. "Asset Allocation And Annuity‐Purchase Strategies To Minimize The Probability Of Financial Ruin," Mathematical Finance, Wiley Blackwell, vol. 16(4), pages 647-671, October.

    Cited by:

    1. Wang, Ting & Young, Virginia R., 2012. "Maximizing the utility of consumption with commutable life annuities," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 352-369.
    2. Liang, Xiaoqing & Young, Virginia R., 2023. "Annuitizing at a bounded, absolutely continuous rate to minimize the probability of lifetime ruin," Insurance: Mathematics and Economics, Elsevier, vol. 112(C), pages 80-96.
    3. Diba Daraei & Kristina Sendova, 2024. "Determining Safe Withdrawal Rates for Post-Retirement via a Ruin-Theory Approach," Risks, MDPI, vol. 12(4), pages 1-21, April.
    4. Horneff, Wolfram & Maurer, Raimond & Rogalla, Ralph, 2010. "Dynamic portfolio choice with deferred annuities," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2652-2664, November.
    5. Rongju Zhang & Nicolas Langren'e & Yu Tian & Zili Zhu & Fima Klebaner & Kais Hamza, 2017. "Skewed target range strategy for multiperiod portfolio optimization using a two-stage least squares Monte Carlo method," Papers 1704.00416, arXiv.org, revised Jun 2019.
    6. Erhan Bayraktar & Xueying Hu & Virginia R. Young, 2010. "Minimizing the Probability of Lifetime Ruin under Stochastic Volatility," Papers 1003.4216, arXiv.org, revised May 2011.
    7. Erhan Bayraktar & Virginia R. Young, 2007. "Minimizing the Probability of Lifetime Ruin under Borrowing Constraints," Papers math/0703850, arXiv.org.
    8. Horneff, Wolfram J. & Maurer, Raimond H. & Stamos, Michael Z., 2008. "Life-cycle asset allocation with annuity markets," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3590-3612, November.
    9. Erhan Bayraktar & David Promislow & Virginia Young, 2014. "Purchasing Life Insurance to Reach a Bequest Goal," Papers 1402.5300, arXiv.org, revised Jul 2014.
    10. Wolfram J. Horneff & Raimond H. Maurer & Olivia S. Mitchel & Michael Z. Stamos, 2008. "Asset Allocation and Location over the Life Cycle with Survival-Contingent Payouts," Working Papers wp177, University of Michigan, Michigan Retirement Research Center.
    11. Jingjing Chai & Wolfram Horneff & Raimond Maurer & Olivia S. Mitchell, 2009. "Extending Life Cycle Models of Optimal Portfolio Choice: Integrating Flexible Work, Endogenous Retirement, and Investment Decisions with Lifetime Payouts," Working Papers wp204, University of Michigan, Michigan Retirement Research Center.
    12. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2009. "Asset allocation and location over the life cycle with investment-linked survival-contingent payouts," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1688-1699, September.
    13. Wolfram J. Horneff & Raimond H. Maurer & Michael Z. Stamos, 2008. "Optimal Gradual Annuitization: Quantifying the Costs of Switching to Annuities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(4), pages 1019-1038, December.
    14. Bauer Daniel & Weber Frederik, 2008. "Assessing Investment and Longevity Risks within Immediate Annuities," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 3(1), pages 1-24, September.
    15. Wolfram J. Horneff & Raimond H. Maurer & Olivia S. Mitchell & Michael Z. Stamos, 2008. "Asset Allocation and Location over the Life Cycle with Survival-Contingent Payouts," NBER Working Papers 14055, National Bureau of Economic Research, Inc.
    16. Joshua Woodruff & William B. Haskell & Alejandro Toriello, 2016. "Optimized Financial Systems Helps Customers Meet Their Personal Finance Goals with Optimization," Interfaces, INFORMS, vol. 46(4), pages 345-359, August.
    17. Marina Di Giacinto & Elena Vigna, 2012. "On the sub-optimality cost of immediate annuitization in DC pension funds," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(3), pages 497-527, September.
    18. Stamos, Michael Z., 2008. "Optimal consumption and portfolio choice for pooled annuity funds," Insurance: Mathematics and Economics, Elsevier, vol. 43(1), pages 56-68, August.
    19. Fangyuan Dong & Nick Halen & Kristen Moore & Qinglai Zeng, 2019. "Efficient Retirement Portfolios: Using Life Insurance to Meet Income and Bequest Goals in Retirement," Risks, MDPI, vol. 7(1), pages 1-11, January.
    20. Marina Di Giacinto & Bjarne Højgaard & Elena Vigna, 2010. "Optimal time of annuitization in the decumulation phase of a defined contribution pension scheme," Working Papers 2010-08, Universita' di Cassino, Dipartimento di Economia e Giurisprudenza.
    21. Rongju Zhang & Nicolas Langrené & Yu Tian & Zili Zhu & Fima Klebaner & Kais Hamza, 2019. "Skewed target range strategy for multiperiod portfolio optimization using a two-stage least squares Monte Carlo method," Post-Print hal-02909342, HAL.
    22. Bauer, Daniel & Weber, Frederik, 2007. "Assessing Investment and Longevity Risks within Immediate Annuities," Discussion Papers in Business Administration 1982, University of Munich, Munich School of Management.
    23. Matheus R Grasselli & Sebastiano Silla, 2009. "A policyholder's utility indifference valuation model for the guaranteed annuity option," Papers 0908.3196, arXiv.org.
    24. F. Habib & H. Huang & A. Mauskopf & B. Nikolic & T. S. Salisbury, 2021. "Optimal allocation to deferred income annuities," Papers 2111.01234, arXiv.org.
    25. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Dus, Ivica, 2008. "Following the rules: Integrating asset allocation and annuitization in retirement portfolios," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 396-408, February.
    26. Russell Gerrard & Bjarne Højgaard & Elena Vigna, 2008. "Choosing the Optimal Annuitization Time Post Retirement," Carlo Alberto Notebooks 76, Collegio Carlo Alberto.
    27. Erhan Bayraktar & Virginia Young, 2010. "Optimal investment strategy to minimize occupation time," Annals of Operations Research, Springer, vol. 176(1), pages 389-408, April.
    28. Moore, Kristen S., 2009. "Optimal surrender strategies for equity-indexed annuity investors," Insurance: Mathematics and Economics, Elsevier, vol. 44(1), pages 1-18, February.
    29. Wolfram J. Horneff & Raimond H. Maurer, 2008. "Deferred Annuities and Strategic Asset Allocation," Working Papers wp178, University of Michigan, Michigan Retirement Research Center.
    30. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2010. "Variable payout annuities and dynamic portfolio choice in retirement," Journal of Pension Economics and Finance, Cambridge University Press, vol. 9(2), pages 163-183, April.
    31. Wang, Ting & Young, Virginia R., 2012. "Optimal commutable annuities to minimize the probability of lifetime ruin," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 200-216.
    32. David Schröder, 2013. "Asset allocation in private wealth management: Theory versus practice," Journal of Asset Management, Palgrave Macmillan, vol. 14(3), pages 162-181, June.
    33. Jingjing Chai & Wolfram Horneff & Raimond Maurer & Olivia S. Mitchell, 2011. "Optimal Portfolio Choice over the Life Cycle with Flexible Work, Endogenous Retirement, and Lifetime Payouts," Review of Finance, European Finance Association, vol. 15(4), pages 875-907.
    34. Erhan Bayraktar & Virginia R. Young, 2007. "Proving Regularity of the Minimal Probability of Ruin via a Game of Stopping and Control," Papers 0704.2244, arXiv.org, revised Aug 2010.
    35. Liang, Xiaoqing & Young, Virginia R., 2018. "Annuitization and asset allocation under exponential utility," Insurance: Mathematics and Economics, Elsevier, vol. 79(C), pages 167-183.
    36. Kevin Fergusson & Eckhard Platen, 2013. "Real World Pricing of Long Term Cash-Linked Annuities and Equity-Linked Annuities with Cash-Linked Guarantees," Research Paper Series 338, Quantitative Finance Research Centre, University of Technology, Sydney.
    37. Aparna Gupta & Zhisheng Li, 2013. "Optimal Annuity Purchase Decisions Under Uncertain Lifetime," Journal of Family and Economic Issues, Springer, vol. 34(4), pages 447-459, December.
    38. Habib, F. & Huang, H. & Mauskopf, A. & Nikolic, B. & Salisbury, T.S., 2020. "Optimal allocation to Deferred Income Annuities," Insurance: Mathematics and Economics, Elsevier, vol. 90(C), pages 94-104.
    39. Erhan Bayraktar & David Promislow & Virginia Young, 2014. "Purchasing Term Life Insurance to Reach a Bequest Goal while Consuming," Papers 1412.2262, arXiv.org, revised Feb 2016.

  26. Milevsky, Moshe A. & Salisbury, Thomas S., 2006. "Financial valuation of guaranteed minimum withdrawal benefits," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 21-38, February.

    Cited by:

    1. Parsiad Azimzadeh & Peter A. Forsyth, 2015. "Weakly chained matrices, policy iteration, and impulse control," Papers 1510.03928, arXiv.org, revised Sep 2017.
    2. Feng, Runhuan & Huang, Huaxiong, 2016. "Statutory financial reporting for variable annuity guaranteed death benefits: Market practice, mathematical modeling and computation," Insurance: Mathematics and Economics, Elsevier, vol. 67(C), pages 54-64.
    3. David Landriault & Bin Li & Dongchen Li & Yumin Wang, 2021. "High‐water mark fee structure in variable annuities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 88(4), pages 1057-1094, December.
    4. Jin Sun & Pavel V. Shevchenko & Man Chung Fung, 2017. "A note on the impact of management fees on the pricing of variable annuity guarantees," Papers 1705.03787, arXiv.org, revised May 2017.
    5. Martin Eling & Michael Kochanski, 2013. "Research on lapse in life insurance: what has been done and what needs to be done?," Journal of Risk Finance, Emerald Group Publishing Limited, vol. 14(4), pages 392-413, August.
    6. Xiaolin Luo & Pavel V. Shevchenko, 2014. "Valuation of Variable Annuities with Guaranteed Minimum Withdrawal and Death Benefits via Stochastic Control Optimization," Papers 1411.5453, arXiv.org, revised Apr 2015.
    7. Christophette Blanchet-Scalliet & Etienne Chevalier & Idris Kharroubi & Thomas Lim, 2015. "Max–Min Optimization Problem For Variable Annuities Pricing," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 18(08), pages 1-35, December.
    8. Wang, Gu & Zou, Bin, 2021. "Optimal fee structure of variable annuities," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 587-601.
    9. Thorsten Moenig, 2021. "Efficient valuation of variable annuity portfolios with dynamic programming," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 88(4), pages 1023-1055, December.
    10. Hyndman, Cody B. & Wenger, Menachem, 2014. "Valuation perspectives and decompositions for variable annuities with GMWB riders," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 283-290.
    11. Moshe A. Milevsky & Thomas S. Salisbury, 2021. "Refundable income annuities: Feasibility of money-back guarantees," Papers 2111.01239, arXiv.org.
    12. D'Amico, Guglielmo & Singh, Shakti & Selvamuthu, Dharmaraja, 2024. "Optimal investment-disinvestment choices in health-dependent variable annuity," Insurance: Mathematics and Economics, Elsevier, vol. 117(C), pages 1-15.
    13. Liang, Xiaoqing & Tsai, Cary Chi-Liang & Lu, Yi, 2016. "Valuing guaranteed equity-linked contracts under piecewise constant forces of mortality," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 150-161.
    14. Huang, Yao Tung & Kwok, Yue Kuen, 2014. "Analysis of optimal dynamic withdrawal policies in withdrawal guarantee products," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 19-43.
    15. Antonio L. Martire & Emilio Russo & Alessandro Staino, 2023. "Surrender and path-dependent guarantees in variable annuities: integral equation solutions and benchmark methods," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 46(1), pages 177-220, June.
    16. Mrad, Fatma & Hamdi, Haykel & Naoui, Kamel & Abid, Ilyes, 2023. "The GMWB guarantee embedded in Life Insurance Contracts: Fair Value Pricing Problem," Finance Research Letters, Elsevier, vol. 51(C).
    17. Jingjiang Peng & Kwai Sun Leung & Yue Kuen Kwok, 2012. "Pricing guaranteed minimum withdrawal benefits under stochastic interest rates," Quantitative Finance, Taylor & Francis Journals, vol. 12(6), pages 933-941, October.
    18. Jin Sun & Pavel V. Shevchenko & Man Chung Fung, 2018. "The Impact of Management Fees on the Pricing of Variable Annuity Guarantees," Risks, MDPI, vol. 6(3), pages 1-20, September.
    19. Gan, Guojun, 2013. "Application of data clustering and machine learning in variable annuity valuation," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 795-801.
    20. van Bilsen, Servaas & Linders, Daniël, 2019. "Affordable and adequate annuities with stable payouts: Fantasy or reality?," Insurance: Mathematics and Economics, Elsevier, vol. 86(C), pages 19-42.
    21. David Blake & Marco Morales & Wenjun Zhu & Ken Seng Tan & Chou-Wen Wang, 2017. "Special Edition: Longevity 10 – The Tenth International Longevity Risk and Capital Markets Solutions Conference," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(S1), pages 477-493, April.
    22. Consiglio, Andrea & De Giovanni, Domenico, 2007. "Pricing the Option to Surrender in Incomplete Markets," Finance Research Group Working Papers F-2007-02, University of Aarhus, Aarhus School of Business, Department of Business Studies.
    23. Yaowen Lu & Duy-Minh Dang, 2023. "A semi-Lagrangian $\epsilon$-monotone Fourier method for continuous withdrawal GMWBs under jump-diffusion with stochastic interest rate," Papers 2310.00606, arXiv.org.
    24. Yang, Sharon S. & Dai, Tian-Shyr, 2013. "A flexible tree for evaluating guaranteed minimum withdrawal benefits under deferred life annuity contracts with various provisions," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 231-242.
    25. Yao Tung Huang & Yue Kuen Kwok, 2016. "Regression-based Monte Carlo methods for stochastic control models: variable annuities with lifelong guarantees," Quantitative Finance, Taylor & Francis Journals, vol. 16(6), pages 905-928, June.
    26. Huang, H. & Milevsky, M.A. & Salisbury, T.S., 2014. "Optimal initiation of a GLWB in a variable annuity: No Arbitrage approach," Insurance: Mathematics and Economics, Elsevier, vol. 56(C), pages 102-111.
    27. Shen, Yang & Sherris, Michael & Ziveyi, Jonathan, 2016. "Valuation of guaranteed minimum maturity benefits in variable annuities with surrender options," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 127-137.
    28. Michael A. Kouritzin & Anne MacKay, 2017. "VIX-linked fees for GMWBs via Explicit Solution Simulation Methods," Papers 1708.06886, arXiv.org, revised Apr 2018.
    29. Kouritzin, Michael A. & MacKay, Anne, 2018. "VIX-linked fees for GMWBs via explicit solution simulation methods," Insurance: Mathematics and Economics, Elsevier, vol. 81(C), pages 1-17.
    30. Ralph Koijen & Motohiro Yogo, 2022. "The Fragility of Market Risk Insurance," Working Papers 2022-3, Princeton University. Economics Department..
    31. Gan, Guojun & Lin, X. Sheldon, 2015. "Valuation of large variable annuity portfolios under nested simulation: A functional data approach," Insurance: Mathematics and Economics, Elsevier, vol. 62(C), pages 138-150.
    32. Hsieh, Ming-hua & Wang, Jennifer L. & Chiu, Yu-Fen & Chen, Yen-Chih, 2018. "Valuation of variable long-term care Annuities with Guaranteed Lifetime Withdrawal Benefits: A variance reduction approach," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 246-254.
    33. Ludovic Gouden`ege & Andrea Molent & Antonino Zanette, 2016. "Pricing and Hedging GMWB in the Heston and in the Black-Scholes with Stochastic Interest Rate Models," Papers 1602.09078, arXiv.org, revised Mar 2016.
    34. Daniel Doyle & Chris Groendyke, 2018. "Using Neural Networks to Price and Hedge Variable Annuity Guarantees," Risks, MDPI, vol. 7(1), pages 1-19, December.
    35. Vanya Horneff & Raimond Maurer & Olivia S. Mitchell & Ralph Rogalla, 2013. "Optimal Life Cycle Portfolio Choice with Variable Annuities Offering Liquidity and Investment Downside Protection," NBER Working Papers 19206, National Bureau of Economic Research, Inc.
    36. Xiaolin Luo & Pavel Shevchenko, 2015. "Variable Annuity with GMWB: surrender or not, that is the question," Papers 1507.08738, arXiv.org.
    37. Wing Fung Chong & Haoen Cui & Yuxuan Li, 2021. "Pseudo-Model-Free Hedging for Variable Annuities via Deep Reinforcement Learning," Papers 2107.03340, arXiv.org, revised Oct 2022.
    38. Cody B. Hyndman & Menachem Wenger, 2014. "GMWB Riders in a Binomial Framework - Pricing, Hedging, and Diversification of Mortality Risk," Papers 1410.7453, arXiv.org, revised Jul 2016.
    39. Huansang Xu & Ruyi Liu & Marek Rutkowski, 2023. "Equity Protection Swaps: A New Type of Investment Insurance for Holders of Superannuation Accounts," Papers 2305.09472, arXiv.org, revised Apr 2024.
    40. Fontana, Claudio & Rotondi, Francesco, 2023. "Valuation of general GMWB annuities in a low interest rate environment," Insurance: Mathematics and Economics, Elsevier, vol. 112(C), pages 142-167.
    41. Paolo Angelis & Roberto Marchis & Antonio L. Martire & Emilio Russo, 2022. "A flexible lattice framework for valuing options on assets paying discrete dividends and variable annuities embedding GMWB riders," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 45(1), pages 415-446, June.
    42. Chueh-Yung Tsao & Chao-Ching Liu, 2012. "Asian Options with Credit Risks: Pricing and Sensitivity Analysis," Emerging Markets Finance and Trade, Taylor & Francis Journals, vol. 48(S3), pages 96-115, September.
    43. Feng, Runhuan & Jing, Xiaochen, 2017. "Analytical valuation and hedging of variable annuity guaranteed lifetime withdrawal benefits," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 36-48.
    44. Charles Guy Njike Leunga & Donatien Hainaut, 2022. "Valuation of Annuity Guarantees Under a Self-Exciting Switching Jump Model," Methodology and Computing in Applied Probability, Springer, vol. 24(2), pages 963-990, June.
    45. Chen, Ze & Feng, Runhuan & Li, Hong & Yang, Tianyu, 2024. "Coping with longevity via hedging: Fair dynamic valuation of variable annuities," Insurance: Mathematics and Economics, Elsevier, vol. 117(C), pages 154-169.
    46. Duy-Minh Dang & P. A. Forsyth & K. R. Vetzal, 2017. "The 4% strategy revisited: a pre-commitment mean-variance optimal approach to wealth management," Quantitative Finance, Taylor & Francis Journals, vol. 17(3), pages 335-351, March.
    47. Christian Knoller & Gunther Kraut & Pascal Schoenmaekers, 2016. "On the Propensity to Surrender a Variable Annuity Contract: An Empirical Analysis of Dynamic Policyholder Behavior," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(4), pages 979-1006, December.
    48. Ng, Andrew Cheuk-Yin & Li, Johnny Siu-Hang, 2011. "Valuing variable annuity guarantees with the multivariate Esscher transform," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 393-400.
    49. Xiaolin Luo & Pavel V. Shevchenko, 2015. "Valuation of capital protection options," Papers 1508.00668, arXiv.org, revised May 2017.
    50. Luo, Xiaolin & Shevchenko, Pavel V., 2015. "Valuation of variable annuities with guaranteed minimum withdrawal and death benefits via stochastic control optimization," Insurance: Mathematics and Economics, Elsevier, vol. 62(C), pages 5-15.
    51. Dai, Tian-Shyr & Yang, Sharon S. & Liu, Liang-Chih, 2015. "Pricing guaranteed minimum/lifetime withdrawal benefits with various provisions under investment, interest rate and mortality risks," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 364-379.
    52. Ignatieva, Katja & Song, Andrew & Ziveyi, Jonathan, 2016. "Pricing and hedging of guaranteed minimum benefits under regime-switching and stochastic mortality," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 286-300.
    53. Fung, Man Chung & Ignatieva, Katja & Sherris, Michael, 2014. "Systematic mortality risk: An analysis of guaranteed lifetime withdrawal benefits in variable annuities," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 103-115.
    54. Xiaolin Luo & Pavel Shevchenko, 2014. "Fast Numerical Method for Pricing of Variable Annuities with Guaranteed Minimum Withdrawal Benefit under Optimal Withdrawal Strategy," Papers 1410.8609, arXiv.org.
    55. Pavel V. Shevchenko & Xiaolin Luo, 2016. "A Unified Pricing of Variable Annuity Guarantees under the Optimal Stochastic Control Framework," Risks, MDPI, vol. 4(3), pages 1-31, July.
    56. Min Dai & Yue Kuen Kwok & Jianping Zong, 2008. "Guaranteed Minimum Withdrawal Benefit In Variable Annuities," Mathematical Finance, Wiley Blackwell, vol. 18(4), pages 595-611, October.
    57. Shevchenko, Pavel V. & Luo, Xiaolin, 2017. "Valuation of variable annuities with Guaranteed Minimum Withdrawal Benefit under stochastic interest rate," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 104-117.
    58. Ludovic Goudenege & Andrea Molent & Antonino Zanette, 2019. "Pricing and hedging GMWB in the Heston and in the Black–Scholes with stochastic interest rate models," Computational Management Science, Springer, vol. 16(1), pages 217-248, February.
    59. Feng, Runhuan & Yi, Bingji, 2019. "Quantitative modeling of risk management strategies: Stochastic reserving and hedging of variable annuity guaranteed benefits," Insurance: Mathematics and Economics, Elsevier, vol. 85(C), pages 60-73.
    60. Bacinello, Anna Rita & Maggistro, Rosario & Zoccolan, Ivan, 2024. "Risk-neutral valuation of GLWB riders in variable annuities," Insurance: Mathematics and Economics, Elsevier, vol. 114(C), pages 1-14.
    61. Pavel V. Shevchenko & Xiaolin Luo, 2016. "A unified pricing of variable annuity guarantees under the optimal stochastic control framework," Papers 1605.00339, arXiv.org.
    62. Fan, Kun & Shen, Yang & Siu, Tak Kuen & Wang, Rongming, 2015. "Pricing annuity guarantees under a double regime-switching model," Insurance: Mathematics and Economics, Elsevier, vol. 62(C), pages 62-78.
    63. Lukasz Delong, 2010. "Applications of time-delayed backward stochastic differential equations to pricing, hedging and portfolio management," Papers 1005.4417, arXiv.org, revised Jan 2011.
    64. Riley Jones & Adriana Ocejo, 2019. "Assessing Guaranteed Minimum Income Benefits and Rationality of Exercising Reset Options in Variable," Papers 1911.06123, arXiv.org.
    65. Marco Di Francesco & Roberta Simonella, 2023. "A stochastic Asset Liability Management model for life insurance companies," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 37(1), pages 61-94, March.
    66. Eckhard Platen, 2009. "Real World Pricing of Long Term Contracts," Research Paper Series 262, Quantitative Finance Research Centre, University of Technology, Sydney.
    67. Claudio Fontana & Francesco Rotondi, 2022. "Valuation of general GMWB annuities in a low interest rate environment," Papers 2208.10183, arXiv.org, revised Aug 2023.
    68. Runhuan Feng & Jan Vecer, 2017. "Risk based capital for guaranteed minimum withdrawal benefit," Quantitative Finance, Taylor & Francis Journals, vol. 17(3), pages 471-478, March.
    69. Magdalena Homa, 2022. "The Impact of MT Strategies on Risk and Value Distribution of Unit-linked Insurance Portfolio," European Research Studies Journal, European Research Studies Journal, vol. 0(3), pages 607-619.
    70. Hainaut, Donatien, 2016. "Impact of volatility clustering on equity indexed annuities," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 367-381.
    71. Huang, Yiming & Mamon, Rogemar & Xiong, Heng, 2022. "Valuing guaranteed minimum accumulation benefits by a change of numéraire approach," Insurance: Mathematics and Economics, Elsevier, vol. 103(C), pages 1-26.
    72. Imad Chahboun & Nathaniel Hoover, 2019. "Variable Annuities: Underlying Risks and Sensitivities," Supervisory Research and Analysis Working Papers RPA 19-1, Federal Reserve Bank of Boston.
    73. Dong, Bing & Xu, Wei & Sevic, Aleksandar & Sevic, Zeljko, 2020. "Efficient willow tree method for variable annuities valuation and risk management☆," International Review of Financial Analysis, Elsevier, vol. 68(C).
    74. Hejazi, Seyed Amir & Jackson, Kenneth R., 2016. "A neural network approach to efficient valuation of large portfolios of variable annuities," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 169-181.
    75. Pavel V. Shevchenko & Xiaolin Luo, 2016. "Valuation of Variable Annuities with Guaranteed Minimum Withdrawal Benefit under Stochastic Interest Rate," Papers 1602.03238, arXiv.org, revised Jan 2017.
    76. Marcos Escobar & Mikhail Krayzler & Franz Ramsauer & David Saunders & Rudi Zagst, 2016. "Incorporation of Stochastic Policyholder Behavior in Analytical Pricing of GMABs and GMDBs," Risks, MDPI, vol. 4(4), pages 1-36, November.
    77. Chen, Z. & Vetzal, K. & Forsyth, P.A., 2008. "The effect of modelling parameters on the value of GMWB guarantees," Insurance: Mathematics and Economics, Elsevier, vol. 43(1), pages 165-173, August.
    78. Bacinello, Anna Rita & Millossovich, Pietro & Olivieri, Annamaria & Pitacco, Ermanno, 2011. "Variable annuities: A unifying valuation approach," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 285-297.
    79. Daniel Bauer & Thorsten Moenig, 2023. "Cheaper by the bundle: The interaction of frictions and option exercise in variable annuities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 90(2), pages 459-486, June.
    80. Maciej Augustyniak & Mathieu Boudreault, 2017. "Mitigating Interest Rate Risk in Variable Annuities: An Analysis of Hedging Effectiveness under Model Risk," North American Actuarial Journal, Taylor & Francis Journals, vol. 21(4), pages 502-525, October.
    81. Bernard, Carole & Kwak, Minsuk, 2016. "Semi-static hedging of variable annuities," Insurance: Mathematics and Economics, Elsevier, vol. 67(C), pages 173-186.
    82. Forsyth, Peter & Vetzal, Kenneth, 2014. "An optimal stochastic control framework for determining the cost of hedging of variable annuities," Journal of Economic Dynamics and Control, Elsevier, vol. 44(C), pages 29-53.
    83. Parsiad Azimzadeh & Peter A. Forsyth, 2015. "The existence of optimal bang-bang controls for GMxB contracts," Papers 1502.05743, arXiv.org, revised Nov 2015.
    84. Goudenège, Ludovic & Molent, Andrea & Zanette, Antonino, 2016. "Pricing and hedging GLWB in the Heston and in the Black–Scholes with stochastic interest rate models," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 38-57.
    85. Moenig, Thorsten, 2021. "Variable annuities: Market incompleteness and policyholder behavior," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 63-78.
    86. Anne MacKay & Adriana Ocejo, 2022. "Portfolio Optimization With a Guaranteed Minimum Maturity Benefit and Risk-Adjusted Fees," Methodology and Computing in Applied Probability, Springer, vol. 24(2), pages 1021-1049, June.
    87. Ludovic Goudenege & Andrea Molent & Antonino Zanette, 2015. "Pricing and Hedging GLWB in the Heston and in the Black-Scholes with Stochastic Interest Rate Models," Papers 1509.02686, arXiv.org.

  27. Moshe Milevsky, 2005. "Real Longevity Insurance with a Deductible: Introduction to Advanced-Life Delayed Annuities (ALDA)," North American Actuarial Journal, Taylor & Francis Journals, vol. 9(4), pages 109-122.

    Cited by:

    1. Olivia S. Mitchell, 2018. "Enhancing risk management for an aging world," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 43(2), pages 115-136, September.
    2. Horneff, Vanya & Maurer, Raimond & Mitchell, Olivia S., 2023. "Fixed and variable longevity annuities in defined contribution plans: Optimal retirement portfolios taking social security into account," CFS Working Paper Series 684, Center for Financial Studies (CFS).
    3. Horneff, Wolfram & Maurer, Raimond & Rogalla, Ralph, 2010. "Dynamic portfolio choice with deferred annuities," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2652-2664, November.
    4. Gong, Guan & Webb, Anthony, 2010. "Evaluating the Advanced Life Deferred Annuity -- An annuity people might actually buy," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 210-221, February.
    5. Vanya Horneff & Raimond Maurer & Olivia S. Mitchell, 2023. "Fixed and variable longevity income annuities in defined contribution plans: Optimal retirement portfolios taking social security into account," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 90(4), pages 831-860, December.
    6. Alicia H. Munnell & Gal Wettstein & Wenliang Hou, 2022. "How best to annuitize defined contribution assets?," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(1), pages 211-235, March.
    7. Vasily Kartashov & Raimond Maurer & Olivia S. Mitchell & Ralph Rogalla, 2011. "Lifecycle Portfolio Choice with Systematic Longevity Risk and Variable Investment-Linked Deferred Annuities," NBER Working Papers 17505, National Bureau of Economic Research, Inc.
    8. Liu, Yanxin & Li, Johnny Siu-Hang, 2018. "A strategy for hedging risks associated with period and cohort effects using q-forwards," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 267-285.
    9. Lau, Sau-Him Paul & Ying, Yinan, 2024. "Deferred annuities with gender-neutral pricing: Benefitting most women without adversely affecting too many men," Journal of Economic Dynamics and Control, Elsevier, vol. 168(C).
    10. Leiser, David & Azar, Ofer H. & Hadar, Liat, 2008. "Psychological construal of economic behavior," Journal of Economic Psychology, Elsevier, vol. 29(5), pages 762-776, November.
    11. Norma L. Nielson, 2012. "Annuities and Your Nest Egg: Reforms to Promote Optimal Annuitization of Retirement Capital," C.D. Howe Institute Commentary, C.D. Howe Institute, issue 358, August.
    12. Horneff, Vanya & Maurer, Raimond & Mitchell, Olivia S., 2018. "Putting the pension back in 401(k) retirement plans: Optimal versus default longevity income annuities," CFS Working Paper Series 607, Center for Financial Studies (CFS).
    13. Huaxiong Huang & Moshe A. Milevsky & Thomas S. Salisbury, 2012. "A different perspective on retirement income sustainability: the blueprint for a ruin contingent life annuity (RCLA)," Papers 1205.2513, arXiv.org.
    14. Wolfram J. Horneff & Raimond H. Maurer, 2008. "Deferred Annuities and Strategic Asset Allocation," Working Papers wp178, University of Michigan, Michigan Retirement Research Center.
    15. Warshawsky, Mark, 2015. "Reforming Retirement Income: Annuitization, Combination Strategies, and Required Minimum Distributions," Working Papers 06834, George Mason University, Mercatus Center.
    16. Barbara Chambers & Ruth Walker & Jun Feng & Yuanyuan Gu, 2021. "The silver tsunami: an enquiry into the financial needs, preferences and behaviours of retirees," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 61(1), pages 645-687, March.
    17. David Blanchett & Branislav Nikolic, 2023. "Historical pricing variability in immediate and deferred income annuities," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 26(2), pages 271-280, July.
    18. Annamaria Olivieri & Ermanno Pitacco, 2022. "Time Restrictions on Life Annuity Benefits: Portfolio Risk Profiles," Risks, MDPI, vol. 10(8), pages 1-18, August.
    19. Ermanno Pitacco, 2016. "Premiums for Long-Term Care Insurance Packages: Sensitivity with Respect to Biometric Assumptions," Risks, MDPI, vol. 4(1), pages 1-22, February.
    20. Horneff, Vanya & Maurer, Raimond & Mitchell, Olivia S., 2020. "Putting the pension back in 401(k) retirement plans: Optimal versus default deferred longevity income annuities," Journal of Banking & Finance, Elsevier, vol. 114(C).
    21. Holzmann, Robert, 2014. "Old-age financial protection in Malaysia : challenges and options," Social Protection Discussion Papers and Notes 92725, The World Bank.

  28. Mark Kamstra & Moshe Milevsky, 2005. "Waiting for returns: using space-time duality to calibrate financial diffusions," Quantitative Finance, Taylor & Francis Journals, vol. 5(3), pages 237-244.

    Cited by:

    1. Vodopivec, Neža & Miller-Hooks, Elise, 2017. "An optimal stopping approach to managing travel-time uncertainty for time-sensitive customer pickup," Transportation Research Part B: Methodological, Elsevier, vol. 102(C), pages 22-37.

  29. Moshe A. Milevsky, 2005. "The Implied Longevity Yield: A Note on Developing an Index for Life Annuities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 72(2), pages 302-320, June.

    Cited by:

    1. Thomas Post & Helmut Gründl & Hato Schmeiser, 2006. "Portfolio management and retirement: what is the best arrangement for a family?," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 20(3), pages 265-285, September.
    2. Horneff, Wolfram & Maurer, Raimond & Rogalla, Ralph, 2010. "Dynamic portfolio choice with deferred annuities," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2652-2664, November.
    3. Stone Charles A. & Zissu Anne, 2007. "Managing Viagers Securitization and Life Extension Risk," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 2(1), pages 1-13, May.
    4. Yang, Jaehwan & Yuh, Yoonkyung, 2019. "Reverse Mortgages for Managing Longevity Risk in Korea," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 60(1), pages 21-40, June.
    5. Yuh, Yoonkyung & Yang, Jaehwan, 2011. "The Valuation and Redistribution Effect of the Korea National Pension," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 52(1), pages 113-142, June.

  30. Moshe Milevsky, 2004. "A diffusive wander through human life," Quantitative Finance, Taylor & Francis Journals, vol. 4(2), pages 21-23.

    Cited by:

    1. Frank J. Fabozzi & Sergio Focardi & Caroline Jonas, 2007. "Trends in quantitative equity management: survey results," Quantitative Finance, Taylor & Francis Journals, vol. 7(2), pages 115-122.

  31. Moshe A. Milevsky & S. David Promislow, 2004. "Florida's Pension Election: From DB to DC and Back," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 71(3), pages 381-404, September.

    Cited by:

    1. Clark, Robert L. & Hanson, Emma & Mitchell, Olivia S., 2016. "Lessons for public pensions from Utah's move to pension choice," Journal of Pension Economics and Finance, Cambridge University Press, vol. 15(3), pages 285-310, July.
    2. Moshe A. Milevsky & Keke Song, 2010. "Do Markets Like Frozen Defined Benefit Pensions? An Event Study," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(4), pages 893-909, December.
    3. Gopi Shah Goda & Colleen Flaherty Manchester, 2010. "Incorporating Employee Heterogeneity into Default Rules for Retirement Plan Selection," NBER Working Papers 16099, National Bureau of Economic Research, Inc.
    4. Brown, Jeffrey R. & Weisbenner, Scott J., 2014. "Why do individuals choose defined contribution plans? Evidence from participants in a large public plan," Journal of Public Economics, Elsevier, vol. 116(C), pages 35-46.
    5. Martin Boyer & Franca Glenzer, 2016. "Pensions, annuities, and long-term care insurance: On the impact of risk screening," Cahiers de recherche 1603, Chaire de recherche Industrielle Alliance sur les enjeux économiques des changements démographiques.
    6. M. Martin Boyer, 2018. "La gestion et le dépistage des risques liés au vieillissement, et le rôle des régimes de retraite dans le marché de l’assurance de soins de longue durée," CIRANO Project Reports 2018rp-03, CIRANO.
    7. Jacqueline Volkman Wise, 2013. "Pension Portfolio Choice and Peer Envy," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(2), pages 461-489, June.
    8. Chao-Liang Chen, 2006. "The portable guarantee to exchange back an old defined benefit for a new defined contribution (DC) pension plan," Applied Economics, Taylor & Francis Journals, vol. 38(6), pages 699-706.
    9. Habibah TOLOS & Peijie WANG & Miao ZHANG & Rory SHAND, 2014. "Retirement systems and pension reform: A Malaysian perspective," International Labour Review, International Labour Organization, vol. 153(3), pages 489-502, September.

  32. Huang, H. & Milevsky, M. A. & Wang, J., 2004. "Ruined moments in your life: how good are the approximations?," Insurance: Mathematics and Economics, Elsevier, vol. 34(3), pages 421-447, June.

    Cited by:

    1. Milevsky, Moshe A. & Salisbury, Thomas S., 2006. "Financial valuation of guaranteed minimum withdrawal benefits," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 21-38, February.
    2. Petrichev, Konstantin & Thorp, Susan, 2008. "The private value of public pensions," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 1138-1145, June.
    3. Moshe A. Milevsky & Kristen S. Moore & Virginia R. Young, 2006. "Asset Allocation And Annuity‐Purchase Strategies To Minimize The Probability Of Financial Ruin," Mathematical Finance, Wiley Blackwell, vol. 16(4), pages 647-671, October.
    4. Moore, Kristen S., 2009. "Optimal surrender strategies for equity-indexed annuity investors," Insurance: Mathematics and Economics, Elsevier, vol. 44(1), pages 1-18, February.
    5. Van Weert, Koen & Dhaene, Jan & Goovaerts, Marc, 2010. "Optimal portfolio selection for general provisioning and terminal wealth problems," Insurance: Mathematics and Economics, Elsevier, vol. 47(1), pages 90-97, August.
    6. Huaxiong Huang & Moshe A. Milevsky & Thomas S. Salisbury, 2012. "Valuation and hedging of the ruin-contingent life annuity (RCLA)," Papers 1205.3686, arXiv.org.
    7. Vanduffel, Steven & Shang, Zhaoning & Henrard, Luc & Dhaene, Jan & Valdez, Emiliano A., 2008. "Analytic bounds and approximations for annuities and Asian options," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 1109-1117, June.

  33. S. Browne & M. A. Milevsky & T. S. Salisbury, 2003. "Asset Allocation and the Liquidity Premium for Illiquid Annuities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 70(3), pages 509-526, September.

    Cited by:

    1. Kun Park & Ward Whitt, 2013. "Continuous-time Markov chain models to estimate the premium for extended hedge fund lockups," Annals of Operations Research, Springer, vol. 211(1), pages 357-379, December.
    2. Wolfram J. Horneff & Raimond H. Maurer & Olivia S. Mitchel & Michael Z. Stamos, 2008. "Asset Allocation and Location over the Life Cycle with Survival-Contingent Payouts," Working Papers wp177, University of Michigan, Michigan Retirement Research Center.
    3. Wolfram J. Horneff & Raimond H. Maurer & Olivia S. Mitchell & Michael Z. Stamos, 2008. "Asset Allocation and Location over the Life Cycle with Survival-Contingent Payouts," NBER Working Papers 14055, National Bureau of Economic Research, Inc.
    4. Wolfram Horneff & Raimond Maurer & Olivia Mitchell & Michael Stamos, 2007. "Money in Motion: Dynamic Portfolio Choice in Retirement," Working Papers wp152, University of Michigan, Michigan Retirement Research Center.
    5. F. Habib & H. Huang & A. Mauskopf & B. Nikolic & T. S. Salisbury, 2021. "Optimal allocation to deferred income annuities," Papers 2111.01234, arXiv.org.
    6. Charles Sutcliffe, 2013. "Trading Death: The Implications of Annuity Replication for the Annuity Puzzle, Arbitrage, Speculation and Portfolios," ICMA Centre Discussion Papers in Finance icma-dp2013-06, Henley Business School, University of Reading.
    7. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Dus, Ivica, 2008. "Following the rules: Integrating asset allocation and annuitization in retirement portfolios," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 396-408, February.
    8. Koijen, R.S.J. & Nijman, T.E. & Werker, B.J.M., 2006. "Optimal Portfolio Choice with Annuitization," Discussion Paper 2006-78, Tilburg University, Center for Economic Research.
    9. Koijen, R.S.J. & Nijman, T.E. & Werker, B.J.M., 2006. "Optimal Portfolio Choice with Annuitization," Other publications TiSEM e0ee89d5-4a5f-4c70-a7ee-d, Tilburg University, School of Economics and Management.
    10. Byoung-Min Kim & Richard Widdows & Tansel Yilmazer, 2005. "The determinants of consumers’ adoption of Internet banking," Conference Series ; [Proceedings], Federal Reserve Bank of Boston.
    11. Lu Yang & Yuhuang Zheng & Rui Chen, 2021. "Who has a cushion? The interactive effect of social exclusion and gender on fixed savings," Journal of Consumer Affairs, Wiley Blackwell, vol. 55(4), pages 1398-1415, December.
    12. Peter Phillips, 2009. "Applying Modern Portfolio Theory To The Analysis Of Terrorism. Computing The Set Of Attack Method Combinations From Which The Rational Terrorist Group Will Choose In Order To Maximise Injuries And Fat," Defence and Peace Economics, Taylor & Francis Journals, vol. 20(3), pages 193-213.
    13. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2010. "Variable payout annuities and dynamic portfolio choice in retirement," Journal of Pension Economics and Finance, Cambridge University Press, vol. 9(2), pages 163-183, April.
    14. Habib, F. & Huang, H. & Mauskopf, A. & Nikolic, B. & Salisbury, T.S., 2020. "Optimal allocation to Deferred Income Annuities," Insurance: Mathematics and Economics, Elsevier, vol. 90(C), pages 94-104.

  34. Moshe A. Milevsky & Steven E. Posner, 2003. "A Continuous-Time Reexamination Of Dollar-Cost Averaging," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 6(02), pages 173-194.

    Cited by:

    1. Michele Bisceglia & Paola Zola, 2018. "Dollar-Cost Averaging with Yearly and Biyearly Installments," Journal of Applied Management and Investments, Department of Business Administration and Corporate Security, International Humanitarian University, vol. 7(1), pages 1-14, February.
    2. Xuejun Jin & Hongze Li & Bin Yu, 2023. "The day‐of‐the‐month effect and the performance of the dollar cost averaging strategy: Evidence from China," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 63(S1), pages 797-815, April.
    3. Kirkby, J. Lars & Mitra, Sovan & Nguyen, Duy, 2020. "An analysis of dollar cost averaging and market timing investment strategies," European Journal of Operational Research, Elsevier, vol. 286(3), pages 1168-1186.
    4. Kapalczynski, Anna & Lien, Donald, 2021. "Effectiveness of Augmented Dollar-Cost Averaging," The North American Journal of Economics and Finance, Elsevier, vol. 56(C).

  35. Charupat, Narat & Milevsky, Moshe A., 2002. "Optimal asset allocation in life annuities: a note," Insurance: Mathematics and Economics, Elsevier, vol. 30(2), pages 199-209, April.

    Cited by:

    1. Steinorth, Petra & Mitchell, Olivia S., 2015. "Valuing variable annuities with guaranteed minimum lifetime withdrawal benefits," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 246-258.
    2. Wolfram J. Horneff & Raimond H. Maurer & Olivia S. Mitchel & Michael Z. Stamos, 2008. "Asset Allocation and Location over the Life Cycle with Survival-Contingent Payouts," Working Papers wp177, University of Michigan, Michigan Retirement Research Center.
    3. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2009. "Asset allocation and location over the life cycle with investment-linked survival-contingent payouts," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1688-1699, September.
    4. Yao, Haixiang & Lai, Yongzeng & Ma, Qinghua & Jian, Minjie, 2014. "Asset allocation for a DC pension fund with stochastic income and mortality risk: A multi-period mean–variance framework," Insurance: Mathematics and Economics, Elsevier, vol. 54(C), pages 84-92.
    5. Wolfram J. Horneff & Raimond H. Maurer & Olivia S. Mitchell & Michael Z. Stamos, 2008. "Asset Allocation and Location over the Life Cycle with Survival-Contingent Payouts," NBER Working Papers 14055, National Bureau of Economic Research, Inc.
    6. Wolfram Horneff & Raimond Maurer & Olivia Mitchell & Michael Stamos, 2007. "Money in Motion: Dynamic Portfolio Choice in Retirement," Working Papers wp152, University of Michigan, Michigan Retirement Research Center.
    7. Francesco Menoncin & Olivier Scaillet, 2003. "Mortality Risk and Real Optimal Asset Allocation for Pension Funds," FAME Research Paper Series rp101, International Center for Financial Asset Management and Engineering.
    8. Marina Di Giacinto & Elena Vigna, 2012. "On the sub-optimality cost of immediate annuitization in DC pension funds," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(3), pages 497-527, September.
    9. Gan, Guojun, 2013. "Application of data clustering and machine learning in variable annuity valuation," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 795-801.
    10. Marina Di Giacinto & Bjarne Højgaard & Elena Vigna, 2010. "Optimal time of annuitization in the decumulation phase of a defined contribution pension scheme," Working Papers 2010-08, Universita' di Cassino, Dipartimento di Economia e Giurisprudenza.
    11. Pablo Castañeda, 2007. "Long Term Risk Assessment in a Defined Contribution Pension System," Working Papers 20, Superintendencia de Pensiones, revised Oct 2007.
    12. Milevsky, Moshe A. & Young, Virginia R., 2007. "Annuitization and asset allocation," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 3138-3177, September.
    13. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Dus, Ivica, 2008. "Following the rules: Integrating asset allocation and annuitization in retirement portfolios," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 396-408, February.
    14. Koijen, R.S.J. & Nijman, T.E. & Werker, B.J.M., 2006. "Optimal Portfolio Choice with Annuitization," Discussion Paper 2006-78, Tilburg University, Center for Economic Research.
    15. Koijen, R.S.J. & Nijman, T.E. & Werker, B.J.M., 2006. "Optimal Portfolio Choice with Annuitization," Other publications TiSEM e0ee89d5-4a5f-4c70-a7ee-d, Tilburg University, School of Economics and Management.
    16. Devolder, Pierre & Bosch Princep, Manuela & Dominguez Fabian, Inmaculada, 2003. "Stochastic optimal control of annuity contracts," Insurance: Mathematics and Economics, Elsevier, vol. 33(2), pages 227-238, October.
    17. Xiao Xu, 2020. "The optimal investment strategy of a DC pension plan under deposit loan spread and the O-U process," Papers 2005.10661, arXiv.org.
    18. Paolo Battocchio & Francesco Menoncin & Olivier Scaillet, 2003. "Optimal asset allocation for pension funds under mortality risk during the accumulation and ecumulation phases," FAME Research Paper Series rp66, International Center for Financial Asset Management and Engineering.
    19. Menoncin, Francesco, 2005. "Cyclical risk exposure of pension funds: A theoretical framework," Insurance: Mathematics and Economics, Elsevier, vol. 36(3), pages 469-484, June.
    20. Han, Nan-Wei & Hung, Mao-Wei, 2015. "The investment management for a downside-protected equity-linked annuity under interest rate risk," Finance Research Letters, Elsevier, vol. 13(C), pages 113-124.
    21. Balter, Anne G. & Kallestrup-Lamb, Malene & Rangvid, Jesper, 2021. "Macro longevity risk and the choice between annuity products: Evidence from Denmark," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 355-362.
    22. Gerrard, Russell & Haberman, Steven & Vigna, Elena, 2004. "Optimal investment choices post-retirement in a defined contribution pension scheme," Insurance: Mathematics and Economics, Elsevier, vol. 35(2), pages 321-342, October.
    23. Gao, Jin & Ulm, Eric R., 2015. "Optimal allocation and consumption with guaranteed minimum death benefits, external income and term life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 61(C), pages 87-98.
    24. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2010. "Variable payout annuities and dynamic portfolio choice in retirement," Journal of Pension Economics and Finance, Cambridge University Press, vol. 9(2), pages 163-183, April.
    25. Huang, Huaxiong & Milevsky, Moshe A., 2016. "Longevity risk and retirement income tax efficiency: A location spending rate puzzle," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 50-62.
    26. Gao, Jin & Ulm, Eric R., 2012. "Optimal consumption and allocation in variable annuities with Guaranteed Minimum Death Benefits," Insurance: Mathematics and Economics, Elsevier, vol. 51(3), pages 586-598.
    27. de Kort, J. & Vellekoop, M.H., 2017. "Existence of optimal consumption strategies in markets with longevity risk," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 107-121.
    28. Moenig, Thorsten, 2021. "Variable annuities: Market incompleteness and policyholder behavior," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 63-78.

  36. Milevsky, Moshe A. & David Promislow, S., 2001. "Mortality derivatives and the option to annuitise," Insurance: Mathematics and Economics, Elsevier, vol. 29(3), pages 299-318, December.

    Cited by:

    1. Bauer, Daniel & Börger, Matthias & Ruß, Jochen, 2010. "On the pricing of longevity-linked securities," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 139-149, February.
    2. Blake, David & Cairns, Andrew J. G. & Dowd, Kevin, 2003. "Pensionmetrics 2: stochastic pension plan design during the distribution phase," LSE Research Online Documents on Economics 24830, London School of Economics and Political Science, LSE Library.
    3. Jevtić, P. & Hurd, T.R., 2017. "The joint mortality of couples in continuous time," Insurance: Mathematics and Economics, Elsevier, vol. 75(C), pages 90-97.
    4. Chen An & Mahayni Antje B., 2008. "Endowment Assurance Products: Effectiveness of Risk-Minimizing Strategies under Model Risk," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 2(2), pages 1-29, March.
    5. Bayraktar, Erhan & Milevsky, Moshe A. & David Promislow, S. & Young, Virginia R., 2009. "Valuation of mortality risk via the instantaneous Sharpe ratio: Applications to life annuities," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 676-691, March.
    6. Christian Hilpert & Jing Li & Alexander Szimayer, 2014. "The Effect of Secondary Markets on Equity-Linked Life Insurance With Surrender Guarantees," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 81(4), pages 943-968, December.
    7. Peter Jevtic & Luca Regis, 2016. "A continuous-time stochastic model for the mortality surface of multiple populations," Working Papers 03/2016, IMT School for Advanced Studies Lucca, revised Jul 2016.
    8. Horneff, Wolfram & Maurer, Raimond & Rogalla, Ralph, 2010. "Dynamic portfolio choice with deferred annuities," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2652-2664, November.
    9. Zeddouk, Fadoua & Devolder, Pierre, 2019. "Mean reversion in stochastic mortality : why and how?," LIDAM Discussion Papers ISBA 2019018, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    10. Ziveyi, Jonathan & Blackburn, Craig & Sherris, Michael, 2013. "Pricing European options on deferred annuities," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 300-311.
    11. An Chen & Montserrat Guillen & Elena Vigna, 2017. "Solvency requirement in a unisex mortality model," Carlo Alberto Notebooks 504, Collegio Carlo Alberto.
    12. Petar Jevtić & Luca Regis, 2021. "A Square-Root Factor-Based Multi-Population Extension of the Mortality Laws," Mathematics, MDPI, vol. 9(19), pages 1-17, September.
    13. Alessandra Cretarola & Benedetta Salterini, 2023. "Utility-based indifference pricing of pure endowments in a Markov-modulated market model," Papers 2301.13575, arXiv.org.
    14. David Blake & Andrew Cairns & Guy Coughlan & Kevin Dowd & Richard MacMinn, 2013. "The New Life Market," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 501-558, September.
    15. Ballotta, Laura & Eberlein, Ernst & Schmidt, Thorsten & Zeineddine, Raghid, 2021. "Fourier based methods for the management of complex life insurance products," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 320-341.
    16. Huaxiong Huang & Moshe A. Milevsky & Thomas S. Salisbury, 2018. "Retirement spending and biological age," Papers 1811.09921, arXiv.org.
    17. Scott Robertson & Konstantinos Spiliopoulos, 2014. "Indifference pricing for Contingent Claims: Large Deviations Effects," Papers 1410.0384, arXiv.org, revised Feb 2016.
    18. Gao, Huan & Mamon, Rogemar & Liu, Xiaoming & Tenyakov, Anton, 2015. "Mortality modelling with regime-switching for the valuation of a guaranteed annuity option," Insurance: Mathematics and Economics, Elsevier, vol. 63(C), pages 108-120.
    19. Elisa Luciano & Luca Regis & Elena Vigna, 2011. "Delta and Gamma hedging of mortality and interest rate risk," ICER Working Papers - Applied Mathematics Series 01-2011, ICER - International Centre for Economic Research.
    20. Jorge Miguel Ventura Bravo, 2011. "Modelling Mortality Using Multiple Stochastic Latent Factors," CEFAGE-UE Working Papers 2011_26, University of Evora, CEFAGE-UE (Portugal).
    21. Jevtić, Petar & Regis, Luca, 2015. "Assessing the solvency of insurance portfolios via a continuous-time cohort model," Insurance: Mathematics and Economics, Elsevier, vol. 61(C), pages 36-47.
    22. Griselda Deelstra & Gr'egory Ray'ee, 2012. "Pricing Variable Annuity Guarantees in a Local Volatility framework," Papers 1204.0453, arXiv.org, revised Apr 2012.
    23. Dahl, Mikkel & Moller, Thomas, 2006. "Valuation and hedging of life insurance liabilities with systematic mortality risk," Insurance: Mathematics and Economics, Elsevier, vol. 39(2), pages 193-217, October.
    24. Donnelly, Catherine & Guillén, Montserrat & Nielsen, Jens Perch, 2014. "Bringing cost transparency to the life annuity market," Insurance: Mathematics and Economics, Elsevier, vol. 56(C), pages 14-27.
    25. Kira Henshaw & Corina Constantinescu & Olivier Menoukeu Pamen, 2020. "Stochastic Mortality Modelling for Dependent Coupled Lives," Risks, MDPI, vol. 8(1), pages 1-28, February.
    26. Biffis, Enrico, 2005. "Affine processes for dynamic mortality and actuarial valuations," Insurance: Mathematics and Economics, Elsevier, vol. 37(3), pages 443-468, December.
    27. Lin, Yijia & Cox, Samuel H., 2008. "Securitization of catastrophe mortality risks," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 628-637, April.
    28. Bravo, Jorge M. & Nunes, João Pedro Vidal, 2021. "Pricing longevity derivatives via Fourier transforms," Insurance: Mathematics and Economics, Elsevier, vol. 96(C), pages 81-97.
    29. De Rosa, Clemente & Luciano, Elisa & Regis, Luca, 2021. "Geographical Diversification And Longevity Risk Mitigation In Annuity Portfolios," ASTIN Bulletin, Cambridge University Press, vol. 51(2), pages 375-410, May.
    30. R. Giacometti & S. Ortobelli & M. Bertocchi, 2011. "A Stochastic Model for Mortality Rate on Italian Data," Journal of Optimization Theory and Applications, Springer, vol. 149(1), pages 216-228, April.
    31. Ballotta, Laura & Haberman, Steven, 2006. "The fair valuation problem of guaranteed annuity options: The stochastic mortality environment case," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 195-214, February.
    32. Marcus C. Christiansen, 2013. "Gaussian and Affine Approximation of Stochastic Diffusion Models for Interest and Mortality Rates," Risks, MDPI, vol. 1(3), pages 1-20, October.
    33. Kevin Fergusson & Eckhard Platen, 2017. "Less-Expensive Valuation of Long Term Annuities Linked to Mortality, Cash and Equity," Papers 1711.02808, arXiv.org.
    34. Wang, Ling & Chiu, Mei Choi & Wong, Hoi Ying, 2021. "Volterra mortality model: Actuarial valuation and risk management with long-range dependence," Insurance: Mathematics and Economics, Elsevier, vol. 96(C), pages 1-14.
    35. Virginia R. Young, 2007. "Pricing Life Insurance under Stochastic Mortality via the Instantaneous Sharpe Ratio: Theorems and Proofs," Papers 0705.1297, arXiv.org.
    36. Gaillardetz, Patrice, 2008. "Valuation of life insurance products under stochastic interest rates," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 212-226, February.
    37. David Atance & Alejandro Balbás & Eliseo Navarro, 2020. "Constructing dynamic life tables with a single-factor model," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 787-825, December.
    38. Rihab Bedoui & Islem Kedidi, 2018. "Modeling Longevity Risk using Consistent Dynamics Affine Mortality Models," Working Papers hal-01678050, HAL.
    39. David Blake & Nicole El Karoui & Stéphane Loisel & Richard Macminn, 2018. "Longevity risk and capital markets: The 2015–16 update," Post-Print hal-01995778, HAL.
    40. Gan, Guojun, 2013. "Application of data clustering and machine learning in variable annuity valuation," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 795-801.
    41. Recchioni, M.C. & Sun, Y., 2016. "An explicitly solvable Heston model with stochastic interest rate," European Journal of Operational Research, Elsevier, vol. 249(1), pages 359-377.
    42. Anastasia Novokreshchenova, 2016. "Predicting Human Mortality: Quantitative Evaluation of Four Stochastic Models," Risks, MDPI, vol. 4(4), pages 1-28, December.
    43. Post, Thomas, 2009. "Individual welfare gains from deferred life-annuities under stochastic Lee-Carter mortality," SFB 649 Discussion Papers 2009-022, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    44. Wang, Ting & Young, Virginia R., 2016. "Hedging pure endowments with mortality derivatives," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 238-255.
    45. Jevtić, Petar & Luciano, Elisa & Vigna, Elena, 2013. "Mortality surface by means of continuous time cohort models," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 122-133.
    46. Vasily Kartashov & Raimond Maurer & Olivia S. Mitchell & Ralph Rogalla, 2011. "Lifecycle Portfolio Choice with Systematic Longevity Risk and Variable Investment-Linked Deferred Annuities," NBER Working Papers 17505, National Bureau of Economic Research, Inc.
    47. Zhou, Hongjuan & Zhou, Kenneth Q. & Li, Xianping, 2022. "Stochastic mortality dynamics driven by mixed fractional Brownian motion," Insurance: Mathematics and Economics, Elsevier, vol. 106(C), pages 218-238.
    48. Shen, Yang & Siu, Tak Kuen, 2013. "Longevity bond pricing under stochastic interest rate and mortality with regime-switching," Insurance: Mathematics and Economics, Elsevier, vol. 52(1), pages 114-123.
    49. Pitacco, Ermanno, 2004. "Survival models in a dynamic context: a survey," Insurance: Mathematics and Economics, Elsevier, vol. 35(2), pages 279-298, October.
    50. Matheus R Grasselli & Sebastiano Silla, 2009. "A policyholder's utility indifference valuation model for the guaranteed annuity option," Papers 0908.3196, arXiv.org.
    51. Jang, Jiwook & Mohd Ramli, Siti Norafidah, 2015. "Jump diffusion transition intensities in life insurance and disability annuity," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 440-451.
    52. Shang, Zhaoning & Goovaerts, Marc & Dhaene, Jan, 2011. "A recursive approach to mortality-linked derivative pricing," Insurance: Mathematics and Economics, Elsevier, vol. 49(2), pages 240-248, September.
    53. Li, Jing & Szimayer, Alexander, 2010. "The Uncertain Mortality Intensity Framework: Pricing and Hedging Unit-Linked Life Insurance Contracts," Bonn Econ Discussion Papers 13/2010, University of Bonn, Bonn Graduate School of Economics (BGSE).
    54. Marcus Christiansen, 2012. "Multistate models in health insurance," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 96(2), pages 155-186, June.
    55. Levantesi, Susanna & Menzietti, Massimiliano, 2012. "Managing longevity and disability risks in life annuities with long term care," Insurance: Mathematics and Economics, Elsevier, vol. 50(3), pages 391-401.
    56. Anja De Waegenaere & Bertrand Melenberg & Ralph Stevens, 2010. "Longevity Risk," De Economist, Springer, vol. 158(2), pages 151-192, June.
    57. Huang, Huaxiong & Milevsky, Moshe A. & Salisbury, Thomas S., 2012. "Optimal retirement consumption with a stochastic force of mortality," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 282-291.
    58. Giacometti, Rosella & Bertocchi, Marida & Rachev, Svetlozar T. & Fabozzi, Frank J., 2012. "A comparison of the Lee–Carter model and AR–ARCH model for forecasting mortality rates," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 85-93.
    59. Marcus Christiansen & Andreas Niemeyer, 2015. "On the forward rate concept in multi-state life insurance," Finance and Stochastics, Springer, vol. 19(2), pages 295-327, April.
    60. LUCIANO, Elisa & VIGNA, Elena, 2008. "Mortality risk via affine stochastic intensities: calibration and empirical relevance," MPRA Paper 59627, University Library of Munich, Germany.
    61. Cairns, Andrew J.G. & Blake, David & Dowd, Kevin, 2006. "Pricing Death: Frameworks for the Valuation and Securitization of Mortality Risk," ASTIN Bulletin, Cambridge University Press, vol. 36(1), pages 79-120, May.
    62. Kristian Buchardt & Christian Furrer & Mogens Steffensen, 2019. "Forward transition rates," Finance and Stochastics, Springer, vol. 23(4), pages 975-999, October.
    63. Ballotta, Laura & Haberman, Steven, 2003. "Valuation of guaranteed annuity conversion options," Insurance: Mathematics and Economics, Elsevier, vol. 33(1), pages 87-108, August.
    64. Christophette Blanchet-Scalliet & Diana Dorobantu & Yahia Salhi, 2019. "A Model-Point Approach to Indifference Pricing of Life Insurance Portfolios with Dependent Lives," Post-Print hal-01258645, HAL.
    65. Date, P. & Mamon, R. & Jalen, L. & Wang, I.C., 2010. "A linear algebraic method for pricing temporary life annuities and insurance policies," Insurance: Mathematics and Economics, Elsevier, vol. 47(1), pages 98-104, August.
    66. Moshe A. Milevsky & Thomas S. Salisbury, 2024. "The Riccati Tontine: How to Satisfy Regulators on Average," Papers 2402.14555, arXiv.org.
    67. Fadoua Zeddouk & Pierre Devolder, 2020. "Longevity Modelling and Pricing under a Dependent Multi-Cohort Framework," Risks, MDPI, vol. 8(4), pages 1-23, November.
    68. Kogure, Atsuyuki & Kurachi, Yoshiyuki, 2010. "A Bayesian approach to pricing longevity risk based on risk-neutral predictive distributions," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 162-172, February.
    69. Homa Magdalena, 2020. "Mathematical Reserves vs Longevity Risk in Life Insurances," Econometrics. Advances in Applied Data Analysis, Sciendo, vol. 24(1), pages 23-38, March.
    70. Pauline Barrieu & Harry Bensusan & Nicole El Karoui & Caroline Hillairet & Stéphane Loisel & Claudia Ravanelli & Yahia Salhi, 2012. "Understanding, Modeling and Managing Longevity Risk: Key Issues and Main Challenges," Post-Print hal-00417800, HAL.
    71. Norberg, Ragnar, 2010. "Forward mortality and other vital rates -- Are they the way forward?," Insurance: Mathematics and Economics, Elsevier, vol. 47(2), pages 105-112, October.
    72. Georgina Onuma Kalu & Chinemerem Dennis Ikpe & Benjamin Ifeanyichukwu Oruh & Samuel Asante Gyamerah, 2020. "State Space Vasicek Model of a Longevity Bond," Papers 2011.12753, arXiv.org.
    73. Schrager, David F., 2006. "Affine stochastic mortality," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 81-97, February.
    74. Ling Wang & Mei Choi Chiu & Hoi Ying Wong, 2020. "Volterra mortality model: Actuarial valuation and risk management with long-range dependence," Papers 2009.09572, arXiv.org.
    75. Li, Jing & Szimayer, Alexander, 2011. "The uncertain mortality intensity framework: Pricing and hedging unit-linked life insurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 471-486.
    76. Tzuling Lin & Cary Chi‐Liang Tsai, 2023. "A new option for mortality–interest rates," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 43(2), pages 273-293, February.
    77. Antoon Pelsser, 2002. "Pricing and Hedging Guaranteed Annuity Options via Static Option Replication," Tinbergen Institute Discussion Papers 02-037/2, Tinbergen Institute.
    78. Blake, David & Cairns, Andrew J.G., 2021. "Longevity risk and capital markets: The 2019-20 update," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 395-439.
    79. Bravo, Jorge M. & Ayuso, Mercedes & Holzmann, Robert & Palmer, Edward, 2021. "Addressing the life expectancy gap in pension policy," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 200-221.
    80. Li, Jackie & Haberman, Steven, 2015. "On the effectiveness of natural hedging for insurance companies and pension plans," Insurance: Mathematics and Economics, Elsevier, vol. 61(C), pages 286-297.
    81. Elisa Luciano & Elena Vigna, 2005. "A note on stochastic survival probabilities and their calibration," ICER Working Papers - Applied Mathematics Series 1-2005, ICER - International Centre for Economic Research.
    82. Apicella, Giovanna & Dacorogna, Michel M, 2016. "A General framework for modelling mortality to better estimate its relationship with interest rate risks," MPRA Paper 75788, University Library of Munich, Germany.
    83. Paul Emms & Steven Haberman, 2008. "Income Drawdown Schemes for a Defined‐Contribution Pension Plan," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(3), pages 739-761, September.
    84. Chou-Wen Wang & Sharon S. Yang, 2013. "Pricing Survivor Derivatives With Cohort Mortality Dependence Under the Lee–Carter Framework," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(4), pages 1027-1056, December.
    85. Chen, Bingzheng & Zhang, Lihong & Zhao, Lin, 2010. "On the robustness of longevity risk pricing," Insurance: Mathematics and Economics, Elsevier, vol. 47(3), pages 358-373, December.
    86. Elisa Luciano & Jaap Spreeuw & Elena Vigna, 2007. "Modelling Stochastic Mortality for Dependent Lives," CeRP Working Papers 58, Center for Research on Pensions and Welfare Policies, Turin (Italy).
    87. Menoncin, Francesco & Regis, Luca, 2020. "Optimal life-cycle labour supply, consumption, and investment: The role of longevity-linked assets," Journal of Banking & Finance, Elsevier, vol. 120(C).
    88. Ignatieva, Katja & Song, Andrew & Ziveyi, Jonathan, 2016. "Pricing and hedging of guaranteed minimum benefits under regime-switching and stochastic mortality," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 286-300.
    89. Szymański Andrzej & Rossa Agnieszka, 2021. "The Complex-Number Mortality Model (CNMM) based on orthonormal expansion of membership functions," Statistics in Transition New Series, Statistics Poland, vol. 22(3), pages 31-57, September.
    90. Elisa Luciano & Elena Vigna, 2006. "Non mean reverting affne processes for stochastic mortality," Carlo Alberto Notebooks 30, Collegio Carlo Alberto.
    91. Tsai, Jeffrey T. & Wang, Jennifer L. & Tzeng, Larry Y., 2010. "On the optimal product mix in life insurance companies using conditional value at risk," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 235-241, February.
    92. Blake, David & Brockett, Patrick & Cox, Samuel & MacMinn, Richard, 2011. "Longevity risk and capital markets: The 2009-2010 update," MPRA Paper 28868, University Library of Munich, Germany.
    93. Ankush Agarwal & Christian-Oliver Ewald & Yongjie Wang, 2019. "Hedging longevity risk in defined contribution pension schemes," Papers 1904.10229, arXiv.org, revised May 2020.
    94. Leunglung Chan & Eckhard Platen, 2016. "Pricing of long dated equity-linked life insurance contracts," Published Paper Series 2016-5, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    95. Jorge Miguel Ventura Bravo, 2011. "Pricing Longevity Bonds Using Affine-Jump Diffusion Models," CEFAGE-UE Working Papers 2011_29, University of Evora, CEFAGE-UE (Portugal).
    96. Zeddouk, Fadoua & Devolder, Pierre, 2022. "Pricing and hedging of longevity basis risk through securitization," LIDAM Discussion Papers ISBA 2022038, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    97. Hua Chen & Samuel H. Cox, 2009. "Modeling Mortality With Jumps: Applications to Mortality Securitization," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(3), pages 727-751, September.
    98. Ludkovski, Michael & Young, Virginia R., 2008. "Indifference pricing of pure endowments and life annuities under stochastic hazard and interest rates," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 14-30, February.
    99. Christophette Blanchet-Scalliet & Diana Dorobantu & Yahia Salhi, 2019. "A Model-Point Approach to Indifference Pricing of Life Insurance Portfolios with Dependent Lives," Methodology and Computing in Applied Probability, Springer, vol. 21(2), pages 423-448, June.
    100. Lin, Tzuling & Tzeng, Larry Y., 2010. "An additive stochastic model of mortality rates: An application to longevity risk in reserve evaluation," Insurance: Mathematics and Economics, Elsevier, vol. 46(2), pages 423-435, April.
    101. Blackburn, Craig & Sherris, Michael, 2013. "Consistent dynamic affine mortality models for longevity risk applications," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 64-73.
    102. Chao Qiao & Michael Sherris, 2013. "Managing Systematic Mortality Risk With Group Self-Pooling and Annuitization Schemes," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(4), pages 949-974, December.
    103. Li, Jing & Szimayer, Alexander, 2010. "The effect of policyholders' rationality on unit-linked life insurance contracts with surrender guarantees," Bonn Econ Discussion Papers 22/2010, University of Bonn, Bonn Graduate School of Economics (BGSE).
    104. Plat, Richard, 2009. "On stochastic mortality modeling," Insurance: Mathematics and Economics, Elsevier, vol. 45(3), pages 393-404, December.
    105. Hainaut, Donatien, 2022. "A calendar year mortality model in continuous time," LIDAM Discussion Papers ISBA 2022019, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    106. Dahl, Mikkel, 2004. "Stochastic mortality in life insurance: market reserves and mortality-linked insurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 35(1), pages 113-136, August.
    107. Xu, Wei & Chen, Yuehuan & Coleman, Conrad & Coleman, Thomas F., 2018. "Moment matching machine learning methods for risk management of large variable annuity portfolios," Journal of Economic Dynamics and Control, Elsevier, vol. 87(C), pages 1-20.
    108. Cox, Samuel H. & Lin, Yijia & Pedersen, Hal, 2010. "Mortality risk modeling: Applications to insurance securitization," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 242-253, February.
    109. Lee, Yung-Tsung & Wang, Chou-Wen & Huang, Hong-Chih, 2012. "On the valuation of reverse mortgages with regular tenure payments," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 430-441.
    110. Menoncin, Francesco & Regis, Luca, 2017. "Longevity-linked assets and pre-retirement consumption/portfolio decisions," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 75-86.
    111. Gabay, Daniel & Grasselli, Martino, 2012. "Fair demographic risk sharing in defined contribution pension systems," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 657-669.
    112. Schrager, David F. & Pelsser, Antoon A.J., 2004. "Pricing Rate of Return Guarantees in Regular Premium Unit Linked Insurance," Insurance: Mathematics and Economics, Elsevier, vol. 35(2), pages 369-398, October.
    113. Young, Virginia R., 2008. "Pricing life insurance under stochastic mortality via the instantaneous Sharpe ratio," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 691-703, April.
    114. Stefan Tappe & Stefan Weber, 2014. "Stochastic mortality models: an infinite-dimensional approach," Finance and Stochastics, Springer, vol. 18(1), pages 209-248, January.
    115. Xiaobai Zhu & Kenneth Q. Zhou & Zijia Wang, 2024. "A new paradigm of mortality modeling via individual vitality dynamics," Papers 2407.15388, arXiv.org, revised Oct 2024.
    116. Chen, An & Vigna, Elena, 2017. "A unisex stochastic mortality model to comply with EU Gender Directive," Insurance: Mathematics and Economics, Elsevier, vol. 73(C), pages 124-136.
    117. An Chen & Elena Vigna, 2015. "A unisex stochastic mortality model to comply with EU Gender Directive," Carlo Alberto Notebooks 440, Collegio Carlo Alberto.
    118. Deelstra, Griselda & Grasselli, Martino & Van Weverberg, Christopher, 2016. "The role of the dependence between mortality and interest rates when pricing Guaranteed Annuity Options," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 205-219.
    119. Dowd, Kevin & Cairns, Andrew J.G. & Blake, David, 2006. "Mortality-dependent financial risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 38(3), pages 427-440, June.
    120. Kevin Fergusson & Eckhard Platen, 2013. "Real World Pricing of Long Term Cash-Linked Annuities and Equity-Linked Annuities with Cash-Linked Guarantees," Research Paper Series 338, Quantitative Finance Research Centre, University of Technology, Sydney.
    121. Francesco Menoncin & Luca Regis, 2015. "Longevity assets and pre-retirement consumption/portfolio decisions," Working Papers 2/2015, IMT School for Advanced Studies Lucca, revised May 2015.
    122. Luciano, Elisa & Regis, Luca & Vigna, Elena, 2012. "Delta–Gamma hedging of mortality and interest rate risk," Insurance: Mathematics and Economics, Elsevier, vol. 50(3), pages 402-412.
    123. Russo, Vincenzo & Giacometti, Rosella & Ortobelli, Sergio & Rachev, Svetlozar & Fabozzi, Frank J., 2011. "Calibrating affine stochastic mortality models using term assurance premiums," Insurance: Mathematics and Economics, Elsevier, vol. 49(1), pages 53-60, July.

  37. Milevsky, Moshe Arye & Panyagometh, Kamphol, 2001. "Variable annuities versus mutual funds: a Monte-Carlo analysis of the options," Financial Services Review, Elsevier, vol. 10(1-4), pages 145-161.

    Cited by:

    1. Jennifer Alonso Garcia & Michael Sherris & Samuel Thirurajah & Jonathan Ziveyi, 2020. "Taxation and policyholder behavior: the case of guaranteed minimum accumulation benefits," ULB Institutional Repository 2013/307889, ULB -- Universite Libre de Bruxelles.
    2. Jeffrey R. Brown & James M. Poterba, 2006. "Household Ownership of Variable Annuities," NBER Chapters, in: Tax Policy and the Economy, Volume 20, pages 163-191, National Bureau of Economic Research, Inc.
    3. Jennifer Alonso Garcia & Samuel Thirurajah & Jonathan Ziveyi, 2024. "A hybrid variable annuity contract embedded with living and death benefit riders," ULB Institutional Repository 2013/385588, ULB -- Universite Libre de Bruxelles.

  38. Moshe Arye Milevsky, 2001. "Optimal Annuitization Policies," North American Actuarial Journal, Taylor & Francis Journals, vol. 5(1), pages 57-69.

    Cited by:

    1. Peng, Ling & Kloeden, Peter E., 2021. "Time-consistent portfolio optimization," European Journal of Operational Research, Elsevier, vol. 288(1), pages 183-193.
    2. Ivica Dus & Raimond Maurer & Olivia S. Mitchell, 2003. "Betting on Death and Capital Markets in Retirement: A Shortfall Risk Analysis of Life Annuities versus Phased Withdrawal Plans," Working Papers wp063, University of Michigan, Michigan Retirement Research Center.
    3. Marina Di Giacinto & Salvatore Federico & Fausto Gozzi & Elena Vigna, 2012. "Income drawdown option with minimum guarantee," Carlo Alberto Notebooks 272, Collegio Carlo Alberto.
    4. Yung-Tsung Lee & Tianxiang Shi, 2022. "Valuation of Reverse Mortgages with Surrender: A Utility Approach," The Journal of Real Estate Finance and Economics, Springer, vol. 65(4), pages 593-621, November.
    5. Wolfram J. Horneff & Raimond Maurer & Olivia S. Mitchell & Ivica Dus, 2006. "Optimizing the Retirement Portfolio: Asset Allocation, Annuitization, and Risk Aversion," NBER Working Papers 12392, National Bureau of Economic Research, Inc.
    6. Stamos, Michael Z., 2008. "Optimal consumption and portfolio choice for pooled annuity funds," Insurance: Mathematics and Economics, Elsevier, vol. 43(1), pages 56-68, August.
    7. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    8. Matheus R Grasselli & Sebastiano Silla, 2009. "A policyholder's utility indifference valuation model for the guaranteed annuity option," Papers 0908.3196, arXiv.org.
    9. Ankush Agarwal & Christian-Oliver Ewald & Yongjie Wang, 2020. "Sharing of longevity basis risk in pension schemes with income-drawdown guarantees," Working Papers 2020_18, Business School - Economics, University of Glasgow.
    10. Ivica Dus & Raimond Maurer & Olivia S. Mitchell, 2005. "Betting on Death and Capital Markets in Retirement: A Shortfall Risk Analysis of Life Annuities," NBER Working Papers 11271, National Bureau of Economic Research, Inc.
    11. James M. Carson & James S. Doran & Randy E. Dumm, 2011. "Market Discipline in the Individual Annuity Market," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 14(1), pages 27-47, March.
    12. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Dus, Ivica, 2008. "Following the rules: Integrating asset allocation and annuitization in retirement portfolios," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 396-408, February.
    13. Sanders, Lisanne & De Waegenaere, Anja & Nijman, Theo E., 2013. "When can insurers offer products that dominate delayed old-age pension benefit claiming?," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 134-149.
    14. Russell Gerrard & Bjarne Højgaard & Elena Vigna, 2008. "Choosing the Optimal Annuitization Time Post Retirement," Carlo Alberto Notebooks 76, Collegio Carlo Alberto.
    15. Sanders, E.A.T. & De Waegenaere, A.M.B. & Nijman, T.E., 2010. "When Can Insurers Offer Products That Dominate Delayed Old-Age Pension Benefit Claiming?," Other publications TiSEM ea3f9bbb-92ce-4dfe-a1fe-e, Tilburg University, School of Economics and Management.
    16. Paolo Battocchio & Francesco Menoncin & Olivier Scaillet, 2003. "Optimal asset allocation for pension funds under mortality risk during the accumulation and ecumulation phases," FAME Research Paper Series rp66, International Center for Financial Asset Management and Engineering.
    17. Ade Ibiwoye & Lukman Ajijola, 2012. "An Actuarial Analysis of the Payout Options in Nigeria¡¯s Contributory Pension Scheme," International Journal of Business Administration, International Journal of Business Administration, Sciedu Press, vol. 3(6), pages 45-54, November.
    18. Le Courtois, Olivier & Menoncin, Francesco, 2015. "Portfolio optimisation with jumps: Illustration with a pension accumulation scheme," Journal of Banking & Finance, Elsevier, vol. 60(C), pages 127-137.
    19. Francesco Menoncin, 2006. "The role of longevity bonds in optimal portfolios," Working Papers 0601, University of Brescia, Department of Economics.
    20. Gao, Jin & Ulm, Eric R., 2012. "Optimal consumption and allocation in variable annuities with Guaranteed Minimum Death Benefits," Insurance: Mathematics and Economics, Elsevier, vol. 51(3), pages 586-598.

  39. Moshe Milevsky & Chris Robinson, 2000. "Self-Annuitization and Ruin in Retirement," North American Actuarial Journal, Taylor & Francis Journals, vol. 4(4), pages 112-124.

    Cited by:

    1. Thomas Post & Helmut Gründl & Hato Schmeiser, 2006. "Portfolio management and retirement: what is the best arrangement for a family?," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 20(3), pages 265-285, September.
    2. Blake, David & Cairns, Andrew J. G. & Dowd, Kevin, 2003. "Pensionmetrics 2: stochastic pension plan design during the distribution phase," LSE Research Online Documents on Economics 24830, London School of Economics and Political Science, LSE Library.
    3. Ivica Dus & Raimond Maurer & Olivia S. Mitchell, 2003. "Betting on Death and Capital Markets in Retirement: A Shortfall Risk Analysis of Life Annuities versus Phased Withdrawal Plans," Working Papers wp063, University of Michigan, Michigan Retirement Research Center.
    4. Marina Di Giacinto & Salvatore Federico & Fausto Gozzi & Elena Vigna, 2012. "Income drawdown option with minimum guarantee," Carlo Alberto Notebooks 272, Collegio Carlo Alberto.
    5. Erhan Bayraktar & Virginia R. Young, 2007. "Minimizing the Probability of Lifetime Ruin under Borrowing Constraints," Papers math/0703850, arXiv.org.
    6. Huang, H. & Milevsky, M. A. & Wang, J., 2004. "Ruined moments in your life: how good are the approximations?," Insurance: Mathematics and Economics, Elsevier, vol. 34(3), pages 421-447, June.
    7. Young, Virginia R., 2017. "Purchasing casualty insurance to avoid lifetime ruin," Insurance: Mathematics and Economics, Elsevier, vol. 77(C), pages 133-142.
    8. Wolfram J. Horneff & Raimond Maurer & Olivia S. Mitchell & Ivica Dus, 2006. "Optimizing the Retirement Portfolio: Asset Allocation, Annuitization, and Risk Aversion," NBER Working Papers 12392, National Bureau of Economic Research, Inc.
    9. Marina Di Giacinto & Elena Vigna, 2012. "On the sub-optimality cost of immediate annuitization in DC pension funds," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(3), pages 497-527, September.
    10. Stamos, Michael Z., 2008. "Optimal consumption and portfolio choice for pooled annuity funds," Insurance: Mathematics and Economics, Elsevier, vol. 43(1), pages 56-68, August.
    11. Petrichev, Konstantin & Thorp, Susan, 2008. "The private value of public pensions," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 1138-1145, June.
    12. Marina Di Giacinto & Bjarne Højgaard & Elena Vigna, 2010. "Optimal time of annuitization in the decumulation phase of a defined contribution pension scheme," Working Papers 2010-08, Universita' di Cassino, Dipartimento di Economia e Giurisprudenza.
    13. Ivica Dus & Raimond Maurer & Olivia S. Mitchell, 2005. "Betting on Death and Capital Markets in Retirement: A Shortfall Risk Analysis of Life Annuities," NBER Working Papers 11271, National Bureau of Economic Research, Inc.
    14. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Dus, Ivica, 2008. "Following the rules: Integrating asset allocation and annuitization in retirement portfolios," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 396-408, February.
    15. Erhan Bayraktar & Yuchong Zhang, 2014. "Minimizing the Probability of Lifetime Ruin Under Ambiguity Aversion," Papers 1402.1809, arXiv.org, revised Nov 2014.
    16. Albrecht, Peter & Maurer, Raimond, 2001. "Self-annuitization, ruin risk in retirement and asset allocation : the annuity benchmark," Papers 01-35, Sonderforschungsbreich 504.
    17. Erhan Bayraktar & Virginia R. Young, 2007. "Correspondence between Lifetime Minimum Wealth and Utility of Consumption," Papers math/0703820, arXiv.org.
    18. Erhan Bayraktar & Asaf Cohen, 2015. "Risk Sensitive Control of the Lifetime Ruin Problem," Papers 1503.05769, arXiv.org, revised Jul 2016.
    19. Gerrard, Russell & Haberman, Steven & Vigna, Elena, 2004. "Optimal investment choices post-retirement in a defined contribution pension scheme," Insurance: Mathematics and Economics, Elsevier, vol. 35(2), pages 321-342, October.
    20. Van Weert, Koen & Dhaene, Jan & Goovaerts, Marc, 2010. "Optimal portfolio selection for general provisioning and terminal wealth problems," Insurance: Mathematics and Economics, Elsevier, vol. 47(1), pages 90-97, August.
    21. Young, Virginia R. & Zhang, Yuchong, 2016. "Lifetime ruin under ambiguous hazard rate," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 125-134.
    22. He, Lin & Liang, Zongxia, 2013. "Optimal dynamic asset allocation strategy for ELA scheme of DC pension plan during the distribution phase," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 404-410.
    23. Wang, Ting & Young, Virginia R., 2012. "Optimal commutable annuities to minimize the probability of lifetime ruin," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 200-216.
    24. Erhan Bayraktar & Virginia R. Young, 2007. "Proving Regularity of the Minimal Probability of Ruin via a Game of Stopping and Control," Papers 0704.2244, arXiv.org, revised Aug 2010.
    25. Erhan Bayraktar & Virginia R. Young, 2007. "Optimal Deferred Life Annuities to Minimize the Probability of Lifetime Ruin," Papers math/0703862, arXiv.org, revised Oct 2007.
    26. Xiaoqing Liang & Virginia R. Young, 2020. "Minimizing the Probability of Lifetime Exponential Parisian Ruin," Journal of Optimization Theory and Applications, Springer, vol. 184(3), pages 1036-1064, March.
    27. He, Lin & Liang, Zongxia, 2013. "Optimal investment strategy for the DC plan with the return of premiums clauses in a mean–variance framework," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 643-649.

  40. Ho, Kwok & Milevsky, Moshe Arye & Robinson, Chris, 1999. "International equity diversification and shortfall risk," Financial Services Review, Elsevier, vol. 8(1), pages 11-25.

    Cited by:

    1. Johnsona, Robert R. & Buetow, Gerald W. & Jensen, Gerald R., 1999. "International mutual fund returns and Federal Reserve policy," Financial Services Review, Elsevier, vol. 8(3), pages 199-210.
    2. Hanna, Michael E. & McCormack, Joseph P. & Perdue, Grady, 1999. "A nineties perspective on international diversification," Financial Services Review, Elsevier, vol. 8(1), pages 37-45.

  41. Milevsky, Moshe Arye, 1999. "Martingales, scale functions and stochastic life annuities: a note," Insurance: Mathematics and Economics, Elsevier, vol. 24(1-2), pages 149-154, March.

    Cited by:

    1. De Schepper, Ann & Goovaerts, Marc & Dhaene, Jan & Kaas, Rob & Vyncke, David, 2002. "Bounds for present value functions with stochastic interest rates and stochastic volatility," Insurance: Mathematics and Economics, Elsevier, vol. 31(1), pages 87-103, August.
    2. Goecke, Oskar, 2011. "Sparprozesse mit kollektivem Risikoausgleich," Forschung am ivwKöln 1/2011, Technische Hochschule Köln – University of Applied Sciences, Institute for Insurance Studies.
    3. Huang, H. & Milevsky, M. A. & Wang, J., 2004. "Ruined moments in your life: how good are the approximations?," Insurance: Mathematics and Economics, Elsevier, vol. 34(3), pages 421-447, June.

  42. Milevsky, Moshe Arye & Prisman, Eliezer Z., 1999. "Hedging and pricing with tax law uncertainty: Managing under an Arkansas Best doctrine," The Quarterly Review of Economics and Finance, Elsevier, vol. 39(1), pages 147-168.

    Cited by:

    1. Sticca, Ralph Melles & Nakao, Silvio Hiroshi, 2019. "Hedge accounting choice as exchange loss avoidance under financial crisis: Evidence from Brazil," Emerging Markets Review, Elsevier, vol. 41(C).
    2. Donald Lien, 1999. "Uncertain tax rules and futures hedging," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 20(8), pages 429-436.
    3. Donald Lien & Michael Metz, 2001. "Corporate income tax and futures hedging," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 25(3), pages 308-315, September.
    4. Donald Lien, 2004. "A Note on Dual Hedging," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 3(1), pages 29-34, April.

  43. Milevsky, Moshe Arye, 1999. "Time Diversification, Safety-First and Risk," Review of Quantitative Finance and Accounting, Springer, vol. 12(3), pages 271-281, May.

    Cited by:

    1. Haim Levy, 2010. "The CAPM is Alive and Well: A Review and Synthesis," European Financial Management, European Financial Management Association, vol. 16(1), pages 43-71, January.
    2. Diasakos, Theodoros M, 2013. "Comparative Statics of Asset Prices: the effect of other assets' risk," SIRE Discussion Papers 2013-94, Scottish Institute for Research in Economics (SIRE).
    3. M. C. Chiu & D. Li, 2009. "Asset-Liability Management Under the Safety-First Principle," Journal of Optimization Theory and Applications, Springer, vol. 143(3), pages 455-478, December.
    4. K. Ko & Zhijian Huang, 2012. "Time-inconsistent risk preferences in a laboratory experiment," Review of Quantitative Finance and Accounting, Springer, vol. 39(4), pages 471-484, November.
    5. Diasakos, Theodoros M, 2013. "A Simple Characterization of Dynamic Completeness in Continuous Time," SIRE Discussion Papers 2013-91, Scottish Institute for Research in Economics (SIRE).
    6. Levy, Haim & Levy, Moshe, 2009. "The safety first expected utility model: Experimental evidence and economic implications," Journal of Banking & Finance, Elsevier, vol. 33(8), pages 1494-1506, August.
    7. Chiu, Mei Choi & Wong, Hoi Ying & Zhao, Jing, 2018. "Dynamic safety first expected utility model," European Journal of Operational Research, Elsevier, vol. 271(1), pages 141-154.

  44. Milevsky, Moshe Arye & Posner, Steven E., 1998. "Asian Options, the Sum of Lognormals, and the Reciprocal Gamma Distribution," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 33(3), pages 409-422, September.

    Cited by:

    1. Dinabandhu Bag & Saurabh Goel, 2023. "Weak Form of Call Auction Prices: Simulation Using Monte Carlo Variants," Capital Markets Review, Malaysian Finance Association, vol. 31(1), pages 59-71.
    2. De Schepper, Ann & Goovaerts, Marc & Dhaene, Jan & Kaas, Rob & Vyncke, David, 2002. "Bounds for present value functions with stochastic interest rates and stochastic volatility," Insurance: Mathematics and Economics, Elsevier, vol. 31(1), pages 87-103, August.
    3. Jean-Yves Datey & Genevieve Gauthier & Jean-Guy Simonato, 2003. "The Performance of Analytical Approximations for the Computation of Asian Quanto-Basket Option Prices," Multinational Finance Journal, Multinational Finance Journal, vol. 7(1-2), pages 55-82, March-Jun.
    4. Ting He, 2020. "Nonparametric Predictive Inference for Asian options," Papers 2008.13082, arXiv.org.
    5. Zdravko I. Botev & Robert Salomone & Daniel Mackinlay, 2019. "Fast and accurate computation of the distribution of sums of dependent log-normals," Annals of Operations Research, Springer, vol. 280(1), pages 19-46, September.
    6. Alessandra Cretarola & Gianna Fig`a-Talamanca & Marco Patacca, 2017. "A sentiment-based model for the BitCoin: theory, estimation and option pricing," Papers 1709.08621, arXiv.org.
    7. Brignone, Riccardo & Gonzato, Luca, 2024. "Exact simulation of the Hull and White stochastic volatility model," Journal of Economic Dynamics and Control, Elsevier, vol. 163(C).
    8. Jianqiang Sun & Langnan Chen & Shiyin Li, 2013. "A Quasi‐Analytical Pricing Model for Arithmetic Asian Options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 33(12), pages 1143-1166, December.
    9. Marceau, Etienne & Gaillardetz, Patrice, 1999. "On life insurance reserves in a stochastic mortality and interest rates environment," Insurance: Mathematics and Economics, Elsevier, vol. 25(3), pages 261-280, December.
    10. Dionne, Georges & Gauthier, Geneviève & Ouertani, Nadia & Tahani, Nabil, 2006. "Heterogeneous basket options pricing using analytical approximations," Working Papers 06-1, HEC Montreal, Canada Research Chair in Risk Management.
    11. He, Ting, 2023. "An imprecise pricing model for Asian options based on Nonparametric predictive inference," Pacific-Basin Finance Journal, Elsevier, vol. 77(C).
    12. Dan Pirjol & Lingjiong Zhu, 2017. "Asymptotics for the Discrete-Time Average of the Geometric Brownian Motion and Asian Options," Papers 1706.09659, arXiv.org.
    13. Keng‐Hsin Lo & Kehluh Wang & Ming‐Feng Hsu, 2008. "Pricing European Asian options with skewness and kurtosis in the underlying distribution," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 28(6), pages 598-616, June.
    14. Nielsen, J. Aase & Sandmann, Klaus, 2003. "Pricing Bounds on Asian Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 38(2), pages 449-473, June.
    15. David Mauler & James McDonald, 2015. "Option Pricing and Distribution Characteristics," Computational Economics, Springer;Society for Computational Economics, vol. 45(4), pages 579-595, April.
    16. Yang, Sharon S. & Wang, Chou-Wen, 2013. "Pricing and securitization of multi-country longevity risk with mortality dependence," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 157-169.
    17. Dai, Min & Li, Peifan & Zhang, Jin E., 2010. "A lattice algorithm for pricing moving average barrier options," Journal of Economic Dynamics and Control, Elsevier, vol. 34(3), pages 542-554, March.
    18. Jaehyuk Choi, 2018. "Sum of all Black–Scholes–Merton models: An efficient pricing method for spread, basket, and Asian options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 38(6), pages 627-644, June.
    19. Milevsky, Moshe A. & Salisbury, Thomas S., 2006. "Financial valuation of guaranteed minimum withdrawal benefits," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 21-38, February.
    20. Ewald, Christian-Oliver & Menkens, Olaf & Hung Marten Ting, Sai, 2013. "Asian and Australian options: A common perspective," Journal of Economic Dynamics and Control, Elsevier, vol. 37(5), pages 1001-1018.
    21. Alessandra Cretarola & Gianna Figà-Talamanca & Marco Patacca, 2020. "Market attention and Bitcoin price modeling: theory, estimation and option pricing," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 187-228, June.
    22. Manuel Moreno & Javier F. Navas, 2003. "Australian Asian Options," Working Papers 28, Barcelona School of Economics.
    23. Aprahamian, Hrayer & Maddah, Bacel, 2015. "Pricing Asian options via compound gamma and orthogonal polynomials," Applied Mathematics and Computation, Elsevier, vol. 264(C), pages 21-43.
    24. Friedrich Hubalek & Martin Keller-Ressel & Carlo Sgarra, 2014. "Geometric Asian Option Pricing in General Affine Stochastic Volatility Models with Jumps," Papers 1407.2514, arXiv.org.
    25. Ravi Kashyap, 2022. "Options as Silver Bullets: Valuation of Term Loans, Inventory Management, Emissions Trading and Insurance Risk Mitigation using Option Theory," Annals of Operations Research, Springer, vol. 315(2), pages 1175-1215, August.
    26. Chad E. Hart & Bruce A. Babcock & Dermot J. Hayes, 2001. "Livestock Revenue Insurance," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 21(6), pages 553-580, June.
    27. Barigozzi, Matteo & Alessi, Lucia & Capasso, Marco & Fagiolo, Giorgio, 2009. "The distribution of households consumption-expenditure budget shares," Working Paper Series 1061, European Central Bank.
    28. Geon Ho Choe & Minseok Kim, 2021. "Closed‐form lower bounds for the price of arithmetic average Asian options by multiple conditioning," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 41(12), pages 1916-1932, December.
    29. Oliver, Matthew E., 2019. "Pricing flexibility under rate-of-return regulation: Effects on network infrastructure investment," Economic Modelling, Elsevier, vol. 78(C), pages 150-161.
    30. Benjamin Avanzi & Lewis de Felice, 2023. "Optimal Strategies for the Decumulation of Retirement Savings under Differing Appetites for Liquidity and Investment Risks," Papers 2312.14355, arXiv.org, revised Mar 2024.
    31. Ravi Kashyap, 2016. "Options as Silver Bullets: Valuation of Term Loans, Inventory Management, Emissions Trading and Insurance Risk Mitigation using Option Theory," Papers 1609.01274, arXiv.org, revised Mar 2022.
    32. Ping Wu & Robert J. Elliott, 2017. "A simple efficient approximation to price basket stock options with volatility smile," Annals of Finance, Springer, vol. 13(1), pages 1-29, February.
    33. Allen Abrahamson, 2002. "All Moments of Discrete and Continuous Arithmetic Averages on Brownian Paths: A Closed Form," Finance 0205004, University Library of Munich, Germany.
    34. Lu, King-Jeng & Liang, Chiung-Ju & Hsieh, Ming-Hua & Lee, Yi-Hsi, 2020. "An effective hybrid variance reduction method for pricing the Asian options and its variants," The North American Journal of Economics and Finance, Elsevier, vol. 51(C).
    35. Chueh-Yung Tsao & Chao-Ching Liu, 2012. "Asian Options with Credit Risks: Pricing and Sensitivity Analysis," Emerging Markets Finance and Trade, Taylor & Francis Journals, vol. 48(S3), pages 96-115, September.
    36. Vadim Linetsky, 2004. "Spectral Expansions for Asian (Average Price) Options," Operations Research, INFORMS, vol. 52(6), pages 856-867, December.
    37. Naoki Kishimoto, 2004. "Pricing Path-Dependent Securities by the Extended Tree Method," Management Science, INFORMS, vol. 50(9), pages 1235-1248, September.
    38. Chiu, Chun-Yuan & Dai, Tian-Shyr & Lyuu, Yuh-Dauh, 2015. "Pricing Asian option by the FFT with higher-order error convergence rate under Lévy processes," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 418-437.
    39. Boyle, Phelim & Potapchik, Alexander, 2008. "Prices and sensitivities of Asian options: A survey," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 189-211, February.
    40. Asbjørn T. Hansen & Peter Løchte Jørgensen, 2000. "Analytical Valuation of American-Style Asian Options," Management Science, INFORMS, vol. 46(8), pages 1116-1136, August.
    41. Don M. Chance & Eric Hillebrand & Jimmy E. Hilliard, 2008. "Pricing an Option on Revenue from an Innovation: An Application to Movie Box Office Revenue," Management Science, INFORMS, vol. 54(5), pages 1015-1028, May.
    42. Chou-Wen Wang & Sharon S. Yang, 2013. "Pricing Survivor Derivatives With Cohort Mortality Dependence Under the Lee–Carter Framework," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(4), pages 1027-1056, December.
    43. Jinke Zhou & Xiaolu Wang, 2008. "Accurate closed‐form approximation for pricing Asian and basket options," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 24(4), pages 343-358, July.
    44. Dilip Madan, 2010. "Pricing and hedging basket options to prespecified levels of acceptability," Quantitative Finance, Taylor & Francis Journals, vol. 10(6), pages 607-615.
    45. Mehrotra, Shiv N. & Kant, Shashi, 2009. "Use of composite forest commodity price indices for cointegration analysis," Journal of Forest Economics, Elsevier, vol. 15(4), pages 237-260, December.
    46. Angelos Dassios & Jayalaxshmi Nagaradjasarma, 2006. "The square-root process and Asian options," Quantitative Finance, Taylor & Francis Journals, vol. 6(4), pages 337-347.
    47. Pirjol, Dan & Zhu, Lingjiong, 2016. "Discrete sums of geometric Brownian motions, annuities and Asian options," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 19-37.
    48. Furman, Edward & Hackmann, Daniel & Kuznetsov, Alexey, 2020. "On log-normal convolutions: An analytical–numerical method with applications to economic capital determination," Insurance: Mathematics and Economics, Elsevier, vol. 90(C), pages 120-134.
    49. Rubina Zadourian, 2024. "Model-based and empirical analyses of stochastic fluctuations in economy and finance," Papers 2408.16010, arXiv.org.
    50. Ning Cai & Steven Kou, 2012. "Pricing Asian Options Under a Hyper-Exponential Jump Diffusion Model," Operations Research, INFORMS, vol. 60(1), pages 64-77, February.
    51. Manuel Moreno & Javier F. Navas, 2008. "Australian Options," Australian Journal of Management, Australian School of Business, vol. 33(1), pages 69-93, June.
    52. Van Weert, Koen & Dhaene, Jan & Goovaerts, Marc, 2010. "Optimal portfolio selection for general provisioning and terminal wealth problems," Insurance: Mathematics and Economics, Elsevier, vol. 47(1), pages 90-97, August.
    53. Tian-Shyr Dai & Jr-Yan Wang & Hui-Shan Wei, 2008. "Adaptive placement method on pricing arithmetic average options," Review of Derivatives Research, Springer, vol. 11(1), pages 83-118, March.
    54. Matteo Barigozzi & Lucia Alessi & Marco Capasso & Giorgio Fagiolo, 2008. "The Distribution of Consumption-Expenditure Budget Shares. Evidence from Italian Households," Papers on Economics and Evolution 2008-09, Philipps University Marburg, Department of Geography.
    55. Georges Dionne & Geneviève Gauthier & Nadia Ouertani, 2009. "Basket Options on Heterogeneous Underlying Assets," Cahiers de recherche 0918, CIRPEE.
    56. Dassios, Angelos & Nagaradjasarma, Jayalaxshmi, 2006. "The square-root process and Asian options," LSE Research Online Documents on Economics 2851, London School of Economics and Political Science, LSE Library.
    57. Sander Willems, 2018. "Asian Option Pricing with Orthogonal Polynomials," Papers 1802.01307, arXiv.org, revised Sep 2018.
    58. Alessandra Cretarola & Gianna Fig`a-Talamanca, 2017. "A confidence-based model for asset and derivative prices in the BitCoin market," Papers 1702.00215, arXiv.org.
    59. Schepper, Ann De & Heijnen, Bart, 2007. "Distribution-free option pricing," Insurance: Mathematics and Economics, Elsevier, vol. 40(2), pages 179-199, March.
    60. Kim, Bara & Kim, Jeongsim & Yoon, Hyungkuk & Lee, Jinyoung, 2024. "Pricing of discretely sampled arithmetic Asian options, under the Hull–White interest rate model," The North American Journal of Economics and Finance, Elsevier, vol. 74(C).
    61. Tian-Shyr Dai & Yuh-Dauh Lyuu, 2002. "Efficient, exact algorithms for asian options with multiresolution lattices," Review of Derivatives Research, Springer, vol. 5(2), pages 181-203, May.
    62. Park, Jong Jun & Jang, Hyun Jin & Jang, Jiwook, 2020. "Pricing arithmetic Asian options under jump diffusion CIR processes," Finance Research Letters, Elsevier, vol. 34(C).
    63. Wu, Yang-Che & Liao, Szu-Lang & Shyu, So-De, 2009. "Closed-form valuations of basket options using a multivariate normal inverse Gaussian model," Insurance: Mathematics and Economics, Elsevier, vol. 44(1), pages 95-102, February.
    64. Chih-Chen Hsu & Chung-Gee Lin & Tsung-Jung Kuo, 2020. "Pricing of Arithmetic Asian Options under Stochastic Volatility Dynamics: Overcoming the Risks of High-Frequency Trading," Mathematics, MDPI, vol. 8(12), pages 1-16, December.
    65. Kampas, Athanasios & White, Ben, 2003. "Probabilistic programming for nitrate pollution control: Comparing different probabilistic constraint approximations," European Journal of Operational Research, Elsevier, vol. 147(1), pages 217-228, May.
    66. Kijima, Masaaki & Wong, Tony, 2007. "Pricing of Ratchet equity-indexed annuities under stochastic interest rates," Insurance: Mathematics and Economics, Elsevier, vol. 41(3), pages 317-338, November.
    67. Xu, Guoping & Zheng, Harry, 2009. "Approximate basket options valuation for a jump-diffusion model," Insurance: Mathematics and Economics, Elsevier, vol. 45(2), pages 188-194, October.
    68. Hideharu Funahashi & Masaaki Kijima, 2013. "An Extension of the Chaos Expansion Approximation for the Pricing of Exotic Basket Options　," KIER Working Papers 857, Kyoto University, Institute of Economic Research.
    69. Chun-Sing Lau & Chi-Fai Lo, 2014. "The pricing of basket-spread options," Quantitative Finance, Taylor & Francis Journals, vol. 14(11), pages 1971-1982, November.
    70. Andrew Lyasoff, 2016. "Another look at the integral of exponential Brownian motion and the pricing of Asian options," Finance and Stochastics, Springer, vol. 20(4), pages 1061-1096, October.
    71. Shao, Renyuan & Roe, Brian E., 2002. "The Design And Pricing Of Fixed And Moving Window Contracts: An Application Of Asian-Basket Option Pricing Methods To The Hog Finishing Sector," 2002 Annual meeting, July 28-31, Long Beach, CA 19823, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    72. Brignone, Riccardo & Kyriakou, Ioannis & Fusai, Gianluca, 2021. "Moment-matching approximations for stochastic sums in non-Gaussian Ornstein–Uhlenbeck models," Insurance: Mathematics and Economics, Elsevier, vol. 96(C), pages 232-247.
    73. Milevsky, Moshe A. & David Promislow, S., 2001. "Mortality derivatives and the option to annuitise," Insurance: Mathematics and Economics, Elsevier, vol. 29(3), pages 299-318, December.
    74. Dan Pirjol & Lingjiong Zhu, 2016. "Discrete Sums of Geometric Brownian Motions, Annuities and Asian Options," Papers 1609.07558, arXiv.org.
    75. Chuang-Chang Chang & Chueh-Yung Tsao, 2011. "Efficient and accurate quadratic approximation methods for pricing Asian strike options," Quantitative Finance, Taylor & Francis Journals, vol. 11(5), pages 729-748.
    76. Gabriel Drimus, 2010. "A forward started jump-diffusion model and pricing of cliquet style exotics," Review of Derivatives Research, Springer, vol. 13(2), pages 125-140, July.
    77. Yu, Bo & Zhu, Hongmei & Wu, Ping, 2022. "The closed-form approximation to price basket options under stochastic interest rate," Finance Research Letters, Elsevier, vol. 46(PB).
    78. Kwangil Bae, 2019. "Valuation and applications of compound basket options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(6), pages 704-720, June.
    79. Søren Asmussen & Jens Ledet Jensen & Leonardo Rojas-Nandayapa, 2016. "Exponential Family Techniques for the Lognormal Left Tail," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 43(3), pages 774-787, September.

  45. Milevsky, Moshe Arye & Ho, Kwok & Robinson, Chris, 1997. "Asset Allocation via the Conditional First Exit Time or How to Avoid Outliving Your Money," Review of Quantitative Finance and Accounting, Springer, vol. 9(1), pages 53-70, July.

    Cited by:

    1. Thomas Post & Helmut Gründl & Hato Schmeiser, 2006. "Portfolio management and retirement: what is the best arrangement for a family?," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 20(3), pages 265-285, September.
    2. Kirsten L MacDonald & Robert J Bianchi & Michael E Drew, 2014. "Equity risk versus retirement adequacy: Asset allocation solutions for KiwiSaver," Discussion Papers in Finance finance:201402, Griffith University, Department of Accounting, Finance and Economics.
    3. Ivica Dus & Raimond Maurer & Olivia S. Mitchell, 2003. "Betting on Death and Capital Markets in Retirement: A Shortfall Risk Analysis of Life Annuities versus Phased Withdrawal Plans," Working Papers wp063, University of Michigan, Michigan Retirement Research Center.
    4. Erhan Bayraktar & Virginia R. Young, 2007. "Minimizing the Probability of Lifetime Ruin under Borrowing Constraints," Papers math/0703850, arXiv.org.
    5. Young, Virginia R., 2017. "Purchasing casualty insurance to avoid lifetime ruin," Insurance: Mathematics and Economics, Elsevier, vol. 77(C), pages 133-142.
    6. Wolfram J. Horneff & Raimond Maurer & Olivia S. Mitchell & Ivica Dus, 2006. "Optimizing the Retirement Portfolio: Asset Allocation, Annuitization, and Risk Aversion," NBER Working Papers 12392, National Bureau of Economic Research, Inc.
    7. Veld, Chris & Veld-Merkoulova, Yulia V., 2008. "The risk perceptions of individual investors," Journal of Economic Psychology, Elsevier, vol. 29(2), pages 226-252, April.
    8. Stamos, Michael Z., 2008. "Optimal consumption and portfolio choice for pooled annuity funds," Insurance: Mathematics and Economics, Elsevier, vol. 43(1), pages 56-68, August.
    9. Ivica Dus & Raimond Maurer & Olivia S. Mitchell, 2005. "Betting on Death and Capital Markets in Retirement: A Shortfall Risk Analysis of Life Annuities," NBER Working Papers 11271, National Bureau of Economic Research, Inc.
    10. Robinson, Chris & McGoun, Elton G., 1998. "The sociology of personal finance," Financial Services Review, Elsevier, vol. 7(3), pages 161-173.
    11. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Dus, Ivica, 2008. "Following the rules: Integrating asset allocation and annuitization in retirement portfolios," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 396-408, February.
    12. Albrecht, Peter & Maurer, Raimond, 2001. "Self-annuitization, ruin risk in retirement and asset allocation : the annuity benchmark," Papers 01-35, Sonderforschungsbreich 504.
    13. Erhan Bayraktar & Virginia R. Young, 2007. "Correspondence between Lifetime Minimum Wealth and Utility of Consumption," Papers math/0703820, arXiv.org.
    14. Ho, Kwok & Milevsky, Moshe Arye & Robinson, Chris, 1999. "International equity diversification and shortfall risk," Financial Services Review, Elsevier, vol. 8(1), pages 11-25.
    15. Hato Schmeiser & Thomas Post, 2005. "Life Annuity Insurance Versus Self‐Annuitization: An Analysis From the Perspective of the Family," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 8(2), pages 239-255, September.
    16. Erhan Bayraktar & Virginia R. Young, 2007. "Proving Regularity of the Minimal Probability of Ruin via a Game of Stopping and Control," Papers 0704.2244, arXiv.org, revised Aug 2010.
    17. Johnston, Ken & Forbes, Shawn & Hatem, John, 2001. "A comparison of state university defined benefit and defined contribution pension plans: a Monte Carlo simulation," Financial Services Review, Elsevier, vol. 10(1-4), pages 37-44.

  46. Moshe Arye Milevsky & Eliezer Z. Prisman, 1997. "Tax Effects in Canadian Equity Option Markets," Multinational Finance Journal, Multinational Finance Journal, vol. 1(2), pages 101-122, June.

    Cited by:

    1. Amin Mawani, 2007. "Simulating Firm-Specific Corporate Marginal Tax Rates in a Canadian Context," Multinational Finance Journal, Multinational Finance Journal, vol. 11(1-2), pages 77-96, March-Jun.

  47. Milevsky, Moshe Arye, 1997. "The present value of a stochastic perpetuity and the Gamma distribution," Insurance: Mathematics and Economics, Elsevier, vol. 20(3), pages 243-250, October.

    Cited by:

    1. De Schepper, Ann & Goovaerts, Marc & Dhaene, Jan & Kaas, Rob & Vyncke, David, 2002. "Bounds for present value functions with stochastic interest rates and stochastic volatility," Insurance: Mathematics and Economics, Elsevier, vol. 31(1), pages 87-103, August.
    2. Goovaerts, M. J. & Dhaene, J., 1999. "Supermodular ordering and stochastic annuities," Insurance: Mathematics and Economics, Elsevier, vol. 24(3), pages 281-290, May.
    3. Goecke, Oskar, 2011. "Sparprozesse mit kollektivem Risikoausgleich," Forschung am ivwKöln 1/2011, Technische Hochschule Köln – University of Applied Sciences, Institute for Insurance Studies.
    4. Griselda Deelstra, 2000. "Long-term returns in stochastic interest rate models: applications," ULB Institutional Repository 2013/7590, ULB -- Universite Libre de Bruxelles.
    5. Huang, H. & Milevsky, M. A. & Wang, J., 2004. "Ruined moments in your life: how good are the approximations?," Insurance: Mathematics and Economics, Elsevier, vol. 34(3), pages 421-447, June.
    6. Nikolai Dokuchaev, 2018. "On a gap between rational annuitization price for producer and price for customer," Papers 1809.08960, arXiv.org.
    7. Charupat, Narat & Milevsky, Moshe A., 2002. "Optimal asset allocation in life annuities: a note," Insurance: Mathematics and Economics, Elsevier, vol. 30(2), pages 199-209, April.
    8. Benjamin Avanzi & Lewis de Felice, 2023. "Optimal Strategies for the Decumulation of Retirement Savings under Differing Appetites for Liquidity and Investment Risks," Papers 2312.14355, arXiv.org, revised Mar 2024.
    9. Aleksey S. Polunchenko & Grigory Sokolov, 2016. "An Analytic Expression for the Distribution of the Generalized Shiryaev–Roberts Diffusion," Methodology and Computing in Applied Probability, Springer, vol. 18(4), pages 1153-1195, December.
    10. Nikolai Dokuchaev, 2019. "A gap between rational annuitization price for producer and price for customer," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 18(2), pages 147-154, April.
    11. Tomáš Cipra, 2013. "Some Annuity Problems in the Framework of Czech Pension Systems," Prague Economic Papers, Prague University of Economics and Business, vol. 2013(3), pages 307-323.
    12. Dhaene, J. & Denuit, M. & Goovaerts, M. J. & Kaas, R. & Vyncke, D., 2002. "The concept of comonotonicity in actuarial science and finance: applications," Insurance: Mathematics and Economics, Elsevier, vol. 31(2), pages 133-161, October.
    13. Milevsky, Moshe Arye, 1999. "Martingales, scale functions and stochastic life annuities: a note," Insurance: Mathematics and Economics, Elsevier, vol. 24(1-2), pages 149-154, March.

  48. Ho, Kwok & Milevsky, Moshe Arye & Robinson, Chris, 1994. "Asset allocation, life expectancy and shortfall," Financial Services Review, Elsevier, vol. 3(2), pages 109-126.

    Cited by:

    1. Ivica Dus & Raimond Maurer & Olivia S. Mitchell, 2003. "Betting on Death and Capital Markets in Retirement: A Shortfall Risk Analysis of Life Annuities versus Phased Withdrawal Plans," Working Papers wp063, University of Michigan, Michigan Retirement Research Center.
    2. Wolfram J. Horneff & Raimond Maurer & Olivia S. Mitchell & Ivica Dus, 2006. "Optimizing the Retirement Portfolio: Asset Allocation, Annuitization, and Risk Aversion," NBER Working Papers 12392, National Bureau of Economic Research, Inc.
    3. Stamos, Michael Z., 2008. "Optimal consumption and portfolio choice for pooled annuity funds," Insurance: Mathematics and Economics, Elsevier, vol. 43(1), pages 56-68, August.
    4. Hariharan, Govind & Chapman, Kenneth S. & Domian, Dale L., 2000. "Risk tolerance and asset allocation for investors nearing retirement," Financial Services Review, Elsevier, vol. 9(2), pages 159-170, 00.
    5. John E. Grable & Wookjae Heo & Abed Rabbani, 2021. "Characteristics of random responders in a financial risk-tolerance questionnaire," Journal of Financial Services Marketing, Palgrave Macmillan, vol. 26(1), pages 1-9, March.
    6. Ivica Dus & Raimond Maurer & Olivia S. Mitchell, 2005. "Betting on Death and Capital Markets in Retirement: A Shortfall Risk Analysis of Life Annuities," NBER Working Papers 11271, National Bureau of Economic Research, Inc.
    7. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Dus, Ivica, 2008. "Following the rules: Integrating asset allocation and annuitization in retirement portfolios," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 396-408, February.
    8. Wookjae Heo & Abed G. Rabbani & Jae Min Lee, 2021. "Mediation between financial risk tolerance and equity ownership: assessing the role of financial knowledge underconfidence," Journal of Financial Services Marketing, Palgrave Macmillan, vol. 26(3), pages 169-180, September.
    9. Rabbani, Abed G. & Yao, Zheying & Wang, Christina, 2019. "Does personality predict financial risk tolerance of pre-retiree baby boomers?," Journal of Behavioral and Experimental Finance, Elsevier, vol. 23(C), pages 124-132.
    10. Fisher, Patti J. & Yao, Rui, 2017. "Gender differences in financial risk tolerance," Journal of Economic Psychology, Elsevier, vol. 61(C), pages 191-202.
    11. Johnston, Ken & Forbes, Shawn & Hatem, John, 2001. "A comparison of state university defined benefit and defined contribution pension plans: a Monte Carlo simulation," Financial Services Review, Elsevier, vol. 10(1-4), pages 37-44.

Chapters

  1. Moshe Arye Milevsky & Steven E. Posner, 1999. "Asian Options, The Sum Of Lognormals, And The Reciprocal Gamma Distribution," World Scientific Book Chapters, in: Marco Avellaneda (ed.), Quantitative Analysis In Financial Markets Collected Papers of the New York University Mathematical Finance Seminar, chapter 7, pages 203-218, World Scientific Publishing Co. Pte. Ltd..
    See citations under working paper version above.Sorry, no citations of chapters recorded.

Books

  1. Milevsky,Moshe A., 2015. "King William's Tontine," Cambridge Books, Cambridge University Press, number 9781107076129, January.

    Cited by:

    1. Bonnie-Jeanne Macdonald, 2018. "Headed for the Poorhouse: How to Ensure Seniors Don’t Run Out of Cash before They Run Out of Time," C.D. Howe Institute Commentary, C.D. Howe Institute, issue 500, January.

  2. Charupat,Narat & Huang,Huaxiong & Milevsky,Moshe A., 2012. "Strategic Financial Planning over the Lifecycle," Cambridge Books, Cambridge University Press, number 9780521148030, January.

    Cited by:

    1. Bernard, Carole & De Gennaro Aquino, Luca & Levante, Lucia, 2021. "Optimal annuity demand for general expected utility agents," Insurance: Mathematics and Economics, Elsevier, vol. 101(PA), pages 70-79.
    2. Wei-Ting Pan, 2016. "The Impact of Mandatory Savings on Life Cycle Consumption and Portfolio Choice," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2016, January-A.

  3. Milevsky,Moshe A., 2006. "The Calculus of Retirement Income," Cambridge Books, Cambridge University Press, number 9780521842587, January.

    Cited by:

    1. Gregorio Impavido, 2011. "Stress Tests for Defined Benefit Pension Plans – A Primer," IMF Working Papers 2011/029, International Monetary Fund.
    2. José Luis Iparraguirre, 2019. "Economics and Ageing," Springer Books, Springer, number 978-3-030-29013-9, March.
    3. Wade D. Pfau, 2010. "The Portfolio Size Effect and Lifecycle Asset Allocation Funds: A Different Perspective," GRIPS Discussion Papers 10-11, National Graduate Institute for Policy Studies.
    4. Jingjing Chai & Wolfram Horneff & Raimond Maurer & Olivia S. Mitchell, 2009. "Extending Life Cycle Models of Optimal Portfolio Choice: Integrating Flexible Work, Endogenous Retirement, and Investment Decisions with Lifetime Payouts," Working Papers wp204, University of Michigan, Michigan Retirement Research Center.
    5. Wolfram J. Horneff & Raimond Maurer & Olivia S. Mitchell & Ivica Dus, 2006. "Optimizing the Retirement Portfolio: Asset Allocation, Annuitization, and Risk Aversion," NBER Working Papers 12392, National Bureau of Economic Research, Inc.
    6. S. Kirusheva & H. Huang & T. S. Salisbury, 2022. "Retirement spending problem under Habit Formation Model," Papers 2210.06255, arXiv.org.
    7. Moshe A. Milevsky & Thomas S. Salisbury, 2021. "Refundable income annuities: Feasibility of money-back guarantees," Papers 2111.01239, arXiv.org.
    8. Tomáš Cipra, 2014. "Pension Demand and Utility: The Life Annuity Puzzle," Czech Journal of Economics and Finance (Finance a uver), Charles University Prague, Faculty of Social Sciences, vol. 64(3), pages 213-232, June.
    9. Stamos, Michael Z., 2008. "Optimal consumption and portfolio choice for pooled annuity funds," Insurance: Mathematics and Economics, Elsevier, vol. 43(1), pages 56-68, August.
    10. Tomas Cipra, 2010. "Securitization of Longevity and Mortality Risk," Czech Journal of Economics and Finance (Finance a uver), Charles University Prague, Faculty of Social Sciences, vol. 60(6), pages 545-560, December.
    11. Petrichev, Konstantin & Thorp, Susan, 2008. "The private value of public pensions," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 1138-1145, June.
    12. Pablo Castañeda, 2007. "Long Term Risk Assessment in a Defined Contribution Pension System," Working Papers 20, Superintendencia de Pensiones, revised Oct 2007.
    13. Marín-Solano, Jesús & Navas, Jorge & Roch, Oriol, 2013. "Non-constant discounting and consumption, portfolio and life insurance rules," Economics Letters, Elsevier, vol. 119(2), pages 186-190.
    14. Weinert, Jan-Hendrik & Gründl, Helmut, 2016. "The modern tontine: An innovative instrument for longevity risk management in an aging society," ICIR Working Paper Series 22/16, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    15. Linden, Mikael, 2022. "Retirement duration maximization with survival time expectations," MPRA Paper 115903, University Library of Munich, Germany.
    16. Emilio Bisetti & Carlo A. Favero & Giacomo Nocera & Claudio Tebaldi, 2013. "A Multivariate Model of Strategic Asset Allocation with Longevity Risk," Working Papers 503, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    17. Matheus R Grasselli & Sebastiano Silla, 2009. "A policyholder's utility indifference valuation model for the guaranteed annuity option," Papers 0908.3196, arXiv.org.
    18. F. Habib & H. Huang & A. Mauskopf & B. Nikolic & T. S. Salisbury, 2021. "Optimal allocation to deferred income annuities," Papers 2111.01234, arXiv.org.
    19. Bojan Baškot, 2013. "Modelling Home Equity Conversion Loans With Life Insurance Models," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 58(199), pages 127-164, October -.
    20. Charles Sutcliffe, 2013. "Trading Death: The Implications of Annuity Replication for the Annuity Puzzle, Arbitrage, Speculation and Portfolios," ICMA Centre Discussion Papers in Finance icma-dp2013-06, Henley Business School, University of Reading.
    21. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Dus, Ivica, 2008. "Following the rules: Integrating asset allocation and annuitization in retirement portfolios," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 396-408, February.
    22. de-Paz, Albert & Marín-Solano, Jesús & Navas, Jorge & Roch, Oriol, 2014. "Consumption, investment and life insurance strategies with heterogeneous discounting," Insurance: Mathematics and Economics, Elsevier, vol. 54(C), pages 66-75.
    23. Chao Qiao & Michael Sherris, 2011. "Managing Systematic Mortality Risk with Group Self Pooling and Annuitisation Schemes," Working Papers 201104, ARC Centre of Excellence in Population Ageing Research (CEPAR), Australian School of Business, University of New South Wales.
    24. Huaxiong Huang & Moshe A. Milevsky & Thomas S. Salisbury, 2012. "A different perspective on retirement income sustainability: the blueprint for a ruin contingent life annuity (RCLA)," Papers 1205.2513, arXiv.org.
    25. Ulm, Eric R., 2014. "Analytic solution for ratchet guaranteed minimum death benefit options under a variety of mortality laws," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 14-23.
    26. Le Courtois, Olivier & Menoncin, Francesco, 2015. "Portfolio optimisation with jumps: Illustration with a pension accumulation scheme," Journal of Banking & Finance, Elsevier, vol. 60(C), pages 127-137.
    27. Haensly, Paul J., 2016. "Is a pure TIPS strategy truly risk free?," Review of Financial Economics, Elsevier, vol. 28(C), pages 1-20.
    28. Wei, Jiaqin & Cheng, Xiang & Jin, Zhuo & Wang, Hao, 2020. "Optimal consumption–investment and life-insurance purchase strategy for couples with correlated lifetimes," Insurance: Mathematics and Economics, Elsevier, vol. 91(C), pages 244-256.
    29. Chao Qiao & Michael Sherris, 2013. "Managing Systematic Mortality Risk With Group Self-Pooling and Annuitization Schemes," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(4), pages 949-974, December.
    30. Huaxiong Huang & Moshe A. Milevsky & Thomas S. Salisbury, 2012. "Valuation and hedging of the ruin-contingent life annuity (RCLA)," Papers 1205.3686, arXiv.org.
    31. Paul J. Haensly, 2016. "Is a pure TIPS strategy truly risk free?," Review of Financial Economics, John Wiley & Sons, vol. 28(1), pages 1-20, January.
    32. Jingjing Chai & Wolfram Horneff & Raimond Maurer & Olivia S. Mitchell, 2011. "Optimal Portfolio Choice over the Life Cycle with Flexible Work, Endogenous Retirement, and Lifetime Payouts," Review of Finance, European Finance Association, vol. 15(4), pages 875-907.
    33. Rabitti, Giovanni & Borgonovo, Emanuele, 2020. "Is mortality or interest rate the most important risk in annuity models? A comparison of sensitivity analysis methods," Insurance: Mathematics and Economics, Elsevier, vol. 95(C), pages 48-58.
    34. Moshe A. Milevsky & Thomas S. Salisbury & Alexander Chigodaev, 2018. "The implied longevity curve: How long does the market think you are going to live?," Papers 1811.09932, arXiv.org.
    35. Gabay, Daniel & Grasselli, Martino, 2012. "Fair demographic risk sharing in defined contribution pension systems," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 657-669.
    36. Mr. Nicolas R Blancher & François Haas & Mr. John Kiff & Ms. Oksana Khadarina & Mr. Paul S. Mills & Parmeshwar Ramlogan & Mr. William Lee & Ms. Yoon Sook Kim & Todd Groome & Mr. Shinobu Nakagawa, 2006. "The Limits of Market-Based Risk Transfer and Implications for Managing Systemic Risks," IMF Working Papers 2006/217, International Monetary Fund.
    37. Frédéric Gannon & Vincent Touzé, 2013. "Pension rules and implicit marginal tax rate in France," Post-Print hal-02093467, HAL.
    38. Barry Mulholland & Michael Finke & Sandra Huston, 2016. "Understanding the Shift in Demand for Cash Value Life Insurance," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 19(1), pages 7-36, March.
    39. Finke, Michael & Pfau, Wade Donald & Williams, Duncan, 2011. "Spending flexibility and safe withdrawal rates," MPRA Paper 34536, University Library of Munich, Germany.
    40. Habib, F. & Huang, H. & Mauskopf, A. & Nikolic, B. & Salisbury, T.S., 2020. "Optimal allocation to Deferred Income Annuities," Insurance: Mathematics and Economics, Elsevier, vol. 90(C), pages 94-104.
    41. Wei-Ting Pan, 2016. "The Impact of Mandatory Savings on Life Cycle Consumption and Portfolio Choice," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2016, January-A.
    42. Castaneda, Pablo & Rudolph, Heinz P., 2011. "Upgrading investment regulations in second pillar pension systems : a proposal for Colombia," Policy Research Working Paper Series 5775, The World Bank.

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