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The fair valuation problem of guaranteed annuity options: The stochastic mortality environment case

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  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. 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.
  3. Risk, J. & Ludkovski, M., 2016. "Statistical emulators for pricing and hedging longevity risk products," Insurance: Mathematics and Economics, Elsevier, vol. 68(C), pages 45-60.
  4. 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.
  5. Shi, Tianxiang & Lee, Yung-Tsung, 2021. "Prepayment risk in reverse mortgages: An intensity-governed surrender model," Insurance: Mathematics and Economics, Elsevier, vol. 98(C), pages 68-82.
  6. 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.
  7. 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).
  8. Feng, Runhuan & Volkmer, Hans W., 2012. "Analytical calculation of risk measures for variable annuity guaranteed benefits," Insurance: Mathematics and Economics, Elsevier, vol. 51(3), pages 636-648.
  9. 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.
  10. Valeria D’Amato & Emilia Di Lorenzo & Steven Haberman & Maria Russolillo & Marilena Sibillo, 2011. "The Poisson Log-Bilinear Lee-Carter Model," North American Actuarial Journal, Taylor & Francis Journals, vol. 15(2), pages 315-333.
  11. 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.
  12. Zhao, Yixing & Mamon, Rogemar, 2018. "An efficient algorithm for the valuation of a guaranteed annuity option with correlated financial and mortality risks," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 1-12.
  13. Olivier Le Courtois & François Quittard-Pinon, 2008. "Fair Valuation of Participating Life Insurance Contracts with Jump Risk," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 33(2), pages 106-136, December.
  14. 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.
  15. repec:hum:wpaper:sfb649dp2009-022 is not listed on IDEAS
  16. 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.
  17. Virginia R. Young, 2007. "Pricing Life Insurance under Stochastic Mortality via the Instantaneous Sharpe Ratio: Theorems and Proofs," Papers 0705.1297, arXiv.org.
  18. Yang, Sharon S. & Yue, Jack C. & Huang, Hong-Chih, 2010. "Modeling longevity risks using a principal component approach: A comparison with existing stochastic mortality models," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 254-270, February.
  19. Asmerilda Hitaj & Lorenzo Mercuri & Edit Rroji, 2019. "Lévy CARMA models for shocks in mortality," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 42(1), pages 205-227, June.
  20. 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.
  21. Andreas Milidonis, 2012. "Cypriot Mortality and Pension Benefits," Cyprus Economic Policy Review, University of Cyprus, Economics Research Centre, vol. 6(2), pages 59-66, December.
  22. 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.
  23. 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.
  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. Helena Aro & Teemu Pennanen, 2013. "Liability-driven investment in longevity risk management," Papers 1307.8261, arXiv.org.
  26. Matheus R Grasselli & Sebastiano Silla, 2009. "A policyholder's utility indifference valuation model for the guaranteed annuity option," Papers 0908.3196, arXiv.org.
  27. 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.
  28. 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.
  29. Zaglauer, Katharina & Bauer, Daniel, 2008. "Risk-neutral valuation of participating life insurance contracts in a stochastic interest rate environment," Insurance: Mathematics and Economics, Elsevier, vol. 43(1), pages 29-40, August.
  30. 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.
  31. Ahmadi, Seyed Saeed & Gaillardetz, Patrice, 2015. "Modeling mortality and pricing life annuities with Lévy processes," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 337-350.
  32. 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.
  33. 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.
  34. Gao, Huan & Mamon, Rogemar & Liu, Xiaoming, 2017. "Risk measurement of a guaranteed annuity option under a stochastic modelling framework," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 132(C), pages 100-119.
  35. Delong, Lukasz & Gerrard, Russell & Haberman, Steven, 2008. "Mean-variance optimization problems for an accumulation phase in a defined benefit plan," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 107-118, February.
  36. Burnecki, Krzysztof & Pazdan-Siudeja, Liliana, 2008. "Equity-linked insurances and guaranteed annuity options," MPRA Paper 21658, University Library of Munich, Germany.
  37. Delong, Lukasz, 2010. "An optimal investment strategy for a stream of liabilities generated by a step process in a financial market driven by a Lévy process," Insurance: Mathematics and Economics, Elsevier, vol. 47(3), pages 278-293, December.
  38. 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.
  39. Liang, Zongxia & Sheng, Wenlong, 2016. "Valuing inflation-linked death benefits under a stochastic volatility framework," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 45-58.
  40. Fang, Jun & Jiang, Fan & Liu, Yong & Yang, Jingping, 2020. "Copula-based Markov process," Insurance: Mathematics and Economics, Elsevier, vol. 91(C), pages 166-187.
  41. Wills, Samuel & Sherris, Michael, 2010. "Securitization, structuring and pricing of longevity risk," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 173-185, February.
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