Łukasz Delong
(Lukasz Delong)
Personal Details
First Name: | Lukasz |
Middle Name: | |
Last Name: | Delong |
Suffix: | |
RePEc Short-ID: | pde1449 |
[This author has chosen not to make the email address public] | |
https://www.lukaszdelong.pl | |
Affiliation
Wydział Nauk Ekonomicznych
Uniwersytet Warszawski
Warszawa, Polandhttp://www.wne.uw.edu.pl/
RePEc:edi:fesuwpl (more details at EDIRC)
Research output
Jump to: ArticlesArticles
- Delong, Łukasz & Kozak, Anna, 2023. "The use of autoencoders for training neural networks with mixed categorical and numerical features," ASTIN Bulletin, Cambridge University Press, vol. 53(2), pages 213-232, May.
- Łukasz Delong & Mathias Lindholm & Mario V. Wüthrich, 2022. "Collective reserving using individual claims data," Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 2022(1), pages 1-28, January.
- Marcin Szatkowski & Łukasz Delong, 2021. "One-Year and Ultimate Reserve Risk in Mack Chain Ladder Model," Risks, MDPI, vol. 9(9), pages 1-29, August.
- Delong, Łukasz & Lindholm, Mathias & Wüthrich, Mario V., 2021. "Gamma Mixture Density Networks and their application to modelling insurance claim amounts," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 240-261.
- Delong, Łukasz & Szatkowski, Marcin, 2020. "One-Year Premium Risk And Emergence Pattern Of Ultimate Loss Based On Conditional Distribution," ASTIN Bulletin, Cambridge University Press, vol. 50(2), pages 479-511, May.
- Łukasz Delong & Mario V. Wüthrich, 2020. "Neural Networks for the Joint Development of Individual Payments and Claim Incurred," Risks, MDPI, vol. 8(2), pages 1-34, April.
- Łukasz Delong, 2019. "Optimal investment for insurance company with exponential utility and wealth-dependent risk aversion coefficient," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 89(1), pages 73-113, February.
- Delong, Łukasz & Dhaene, Jan & Barigou, Karim, 2019. "Fair valuation of insurance liability cash-flow streams in continuous time: Theory," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 196-208.
- Łukasz Delong, 2018. "Time-inconsistent stochastic optimal control problems in insurance and finance," Collegium of Economic Analysis Annals, Warsaw School of Economics, Collegium of Economic Analysis, issue 51, pages 229-254.
- Łukasz Delong & Damian Sulik, 2017. "Kalibracja dwuczynnikowego modelu chwilowej stopy procentowej typu G2++ w mierze rzeczywistej i neutralnej względem ryzyka," Bank i Kredyt, Narodowy Bank Polski, vol. 48(4), pages 403-450.
- 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.
- Delong, Łukasz, 2014. "Pricing and hedging of variable annuities with state-dependent fees," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 24-33.
- Łukasz Delong, 2011. "Practical and theoretical aspects of market-consistent valuation and hedging of insurance liabilities," Bank i Kredyt, Narodowy Bank Polski, vol. 42(1), pages 49-78.
- Łukasz Delong, 2010. "Applications of backward stochastic differential equations to insurance and finance," Collegium of Economic Analysis Annals, Warsaw School of Economics, Collegium of Economic Analysis, issue 21, pages 11-26.
- Łukasz Delong, 2009. "Indifference pricing of a life insurance portfolio with systematic mortality risk in a market with an asset driven by a Lévy process," Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 2009(1), pages 1-26.
- Łukasz Delong & Russell Gerrard, 2007. "Mean-variance portfolio selection for a non-life insurance company," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 66(2), pages 339-367, October.
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.Articles
- Delong, Łukasz & Kozak, Anna, 2023.
"The use of autoencoders for training neural networks with mixed categorical and numerical features,"
ASTIN Bulletin, Cambridge University Press, vol. 53(2), pages 213-232, May.
Cited by:
- Freek Holvoet & Katrien Antonio & Roel Henckaerts, 2023. "Neural networks for insurance pricing with frequency and severity data: a benchmark study from data preprocessing to technical tariff," Papers 2310.12671, arXiv.org, revised Aug 2024.
- Ronald Richman & Salvatore Scognamiglio & Mario V. Wuthrich, 2024. "The Credibility Transformer," Papers 2409.16653, arXiv.org.
- Łukasz Delong & Mathias Lindholm & Mario V. Wüthrich, 2022.
"Collective reserving using individual claims data,"
Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 2022(1), pages 1-28, January.
Cited by:
- Jonas Crevecoeur & Katrien Antonio & Stijn Desmedt & Alexandre Masquelein, 2022.
"Bridging the gap between pricing and reserving with an occurrence and development model for non-life insurance claims,"
Papers
2203.07145, arXiv.org, revised Feb 2023.
- Crevecoeur, Jonas & Antonio, Katrien & Desmedt, Stijn & Masquelein, Alexandre, 2023. "Bridging the gap between pricing and reserving with an occurrence and development model for non-life insurance claims," ASTIN Bulletin, Cambridge University Press, vol. 53(2), pages 185-212, May.
- Jonas Crevecoeur & Katrien Antonio & Stijn Desmedt & Alexandre Masquelein, 2022.
"Bridging the gap between pricing and reserving with an occurrence and development model for non-life insurance claims,"
Papers
2203.07145, arXiv.org, revised Feb 2023.
- Marcin Szatkowski & Łukasz Delong, 2021.
"One-Year and Ultimate Reserve Risk in Mack Chain Ladder Model,"
Risks, MDPI, vol. 9(9), pages 1-29, August.
Cited by:
- Marcin Szatkowski, 2022. "Study of Actuarial Characteristics of One-Year and Ultimate Reserve Risk Distributions Based on Market Data," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 14(4), pages 225-262, December.
- Delong, Łukasz & Lindholm, Mathias & Wüthrich, Mario V., 2021.
"Gamma Mixture Density Networks and their application to modelling insurance claim amounts,"
Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 240-261.
Cited by:
- Benjamin Avanzi & Eric Dong & Patrick J. Laub & Bernard Wong, 2024. "Distributional Refinement Network: Distributional Forecasting via Deep Learning," Papers 2406.00998, arXiv.org.
- Fissler, Tobias & Merz, Michael & Wüthrich, Mario V., 2023. "Deep quantile and deep composite triplet regression," Insurance: Mathematics and Economics, Elsevier, vol. 109(C), pages 94-112.
- Delong, Łukasz & Szatkowski, Marcin, 2020.
"One-Year Premium Risk And Emergence Pattern Of Ultimate Loss Based On Conditional Distribution,"
ASTIN Bulletin, Cambridge University Press, vol. 50(2), pages 479-511, May.
Cited by:
- Marcin Szatkowski & Łukasz Delong, 2021. "One-Year and Ultimate Reserve Risk in Mack Chain Ladder Model," Risks, MDPI, vol. 9(9), pages 1-29, August.
- Łukasz Delong & Mario V. Wüthrich, 2020.
"Neural Networks for the Joint Development of Individual Payments and Claim Incurred,"
Risks, MDPI, vol. 8(2), pages 1-34, April.
Cited by:
- Zuleyka Díaz Martínez & José Fernández Menéndez & Luis Javier García Villalba, 2023. "Tariff Analysis in Automobile Insurance: Is It Time to Switch from Generalized Linear Models to Generalized Additive Models?," Mathematics, MDPI, vol. 11(18), pages 1-16, September.
- Emmanuel Jordy Menvouta & Jolien Ponnet & Robin Van Oirbeek & Tim Verdonck, 2022. "mCube: Multinomial Micro-level reserving Model," Papers 2212.00101, arXiv.org.
- Ihsan Chaoubi & Camille Besse & H'el`ene Cossette & Marie-Pier C^ot'e, 2022. "Micro-level Reserving for General Insurance Claims using a Long Short-Term Memory Network," Papers 2201.13267, arXiv.org.
- Łukasz Delong, 2019.
"Optimal investment for insurance company with exponential utility and wealth-dependent risk aversion coefficient,"
Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 89(1), pages 73-113, February.
Cited by:
- Chong, Wing Fung, 2019. "Pricing and hedging equity-linked life insurance contracts beyond the classical paradigm: The principle of equivalent forward preferences," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 93-107.
- Hyungbin Park, 2021. "Influence of risk tolerance on long-term investments: A Malliavin calculus approach," Papers 2104.00911, arXiv.org.
- Jens Gudmundsson & Jens Leth Hougaard, 2020. "Enabling reciprocity through blockchain design," IFRO Working Paper 2020/14, University of Copenhagen, Department of Food and Resource Economics, revised 09 Feb 2021.
- Delong, Łukasz & Dhaene, Jan & Barigou, Karim, 2019.
"Fair valuation of insurance liability cash-flow streams in continuous time: Theory,"
Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 196-208.
Cited by:
- Francesco Della Corte & Gian Paolo Clemente & Nino Savelli, 2023. "A cohort-based Partial Internal Model for demographic risk," Papers 2307.03090, arXiv.org.
- Engsner, Hampus & Lindskog, Filip & Thøgersen, Julie, 2023. "Multiple-prior valuation of cash flows subject to capital requirements," Insurance: Mathematics and Economics, Elsevier, vol. 111(C), pages 41-56.
- Hansjörg Albrecher & Karl‐Theodor Eisele & Mogens Steffensen & Mario V. Wüthrich, 2022. "On the cost‐of‐capital rate under incomplete market valuation," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(4), pages 1139-1158, December.
- Koch-Medina, Pablo & Moreno-Bromberg, Santiago & Ravanelli, Claudia & Šikić, Mario, 2021. "Revisiting optimal investment strategies of value-maximizing insurance firms," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 131-151.
- 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.
- Hampus Engsner & Filip Lindskog & Julie Thoegersen, 2021. "Multiple-prior valuation of cash flows subject to capital requirements," Papers 2109.00306, arXiv.org.
- 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.
Cited by:
- Bäuerle Nicole & Chen An, 2019. "Optimal retirement planning under partial information," Statistics & Risk Modeling, De Gruyter, vol. 36(1-4), pages 37-55, December.
- 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.
- Huaxiong Huang & Moshe A. Milevsky & Thomas S. Salisbury, 2018. "Retirement spending and biological age," Papers 1811.09921, arXiv.org.
- Łukasz Delong, 2018. "Time-inconsistent stochastic optimal control problems in insurance and finance," Collegium of Economic Analysis Annals, Warsaw School of Economics, Collegium of Economic Analysis, issue 51, pages 229-254.
- 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.
- 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.
- Chen Shou & Xiang Shengpeng & He Hongbo, 2019. "Do Time Preferences Matter in Intertemporal Consumption and Portfolio Decisions?," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 19(2), pages 1-13, June.
- Delong, Łukasz, 2014.
"Pricing and hedging of variable annuities with state-dependent fees,"
Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 24-33.
Cited by:
- Anne MacKay & Maciej Augustyniak & Carole Bernard & Mary R. Hardy, 2017. "Risk Management of Policyholder Behavior in Equity-Linked Life Insurance," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(2), pages 661-690, June.
- Zhou, Jiang & Wu, Lan, 2015. "The time of deducting fees for variable annuities under the state-dependent fee structure," Insurance: Mathematics and Economics, Elsevier, vol. 61(C), pages 125-134.
- D. Baños & T. Meyer-Brandis & F. Proske & S. Duedahl, 2017. "Computing deltas without derivatives," Finance and Stochastics, Springer, vol. 21(2), pages 509-549, April.
- Michael A. Kouritzin & Anne MacKay, 2017. "VIX-linked fees for GMWBs via Explicit Solution Simulation Methods," Papers 1708.06886, arXiv.org, revised Apr 2018.
- Anne Mackay & Marie-Claude Vachon, 2023. "On an Optimal Stopping Problem with a Discontinuous Reward," Papers 2311.03538, arXiv.org, revised Nov 2023.
- 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.
- Runhuan Feng & Xiaochen Jing & Jan Dhaene, 2015.
"Comonotonic approximations of risk measures for variable annuity guaranteed benefits with dynamic policyholder behavior,"
Working Papers Department of Accountancy, Finance and Insurance (AFI), Leuven
485229, KU Leuven, Faculty of Economics and Business (FEB), Department of Accountancy, Finance and Insurance (AFI), Leuven.
- Runhuan Feng & Xiaochen Jing & Jan Dhaene, 2015. "Comonotonic Approximations of Risk Measures for Variable Annuity Guaranteed Benefits with Dynamic Policyholder Behavior," Tinbergen Institute Discussion Papers 15-008/IV/DSF85, Tinbergen Institute.
- Wang, Gu & Zou, Bin, 2021. "Optimal fee structure of variable annuities," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 587-601.
- Zhenyu Cui & Anne MacKay & Marie-Claude Vachon, 2022. "Analysis of VIX-linked fee incentives in variable annuities via continuous-time Markov chain approximation," Papers 2207.14793, arXiv.org.
- Anna Rita Bacinello & Ivan Zoccolan, 2019. "Variable annuities with a threshold fee: valuation, numerical implementation and comparative static analysis," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 42(1), pages 21-49, June.
- Zhou, Jiang & Wu, Lan, 2015. "Valuing equity-linked death benefits with a threshold expense strategy," Insurance: Mathematics and Economics, Elsevier, vol. 62(C), pages 79-90.
- 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.
- Moenig, Thorsten, 2021. "Variable annuities: Market incompleteness and policyholder behavior," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 63-78.
- Łukasz Delong, 2011.
"Practical and theoretical aspects of market-consistent valuation and hedging of insurance liabilities,"
Bank i Kredyt, Narodowy Bank Polski, vol. 42(1), pages 49-78.
Cited by:
- Jan Dhaene & Ben Stassen & Karim Barigou & Daniël Linders & Ze Chen, 2017.
"Fair valuation of insurance liabilities: Merging actuarial judgement and market-consistency,"
Working Papers Department of Accountancy, Finance and Insurance (AFI), Leuven
578281, KU Leuven, Faculty of Economics and Business (FEB), Department of Accountancy, Finance and Insurance (AFI), Leuven.
- Dhaene, Jan & Stassen, Ben & Barigou, Karim & Linders, Daniël & Chen, Ze, 2017. "Fair valuation of insurance liabilities: Merging actuarial judgement and market-consistency," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 14-27.
- Florian Gach & Simon Hochgerner & Eva Kienbacher & Gabriel Schachinger, 2023. "Mean-field Libor market model and valuation of long term guarantees," Papers 2310.09022, arXiv.org, revised Nov 2023.
- Jan Dhaene & Ben Stassen & Karim Barigou & Daniël Linders & Ze Chen, 2017.
"Fair valuation of insurance liabilities: Merging actuarial judgement and market-consistency,"
Working Papers Department of Accountancy, Finance and Insurance (AFI), Leuven
578281, KU Leuven, Faculty of Economics and Business (FEB), Department of Accountancy, Finance and Insurance (AFI), Leuven.
- Łukasz Delong, 2010.
"Applications of backward stochastic differential equations to insurance and finance,"
Collegium of Economic Analysis Annals, Warsaw School of Economics, Collegium of Economic Analysis, issue 21, pages 11-26.
Cited by:
- Zhou, Qing & Ren, Yong, 2012. "Reflected backward stochastic differential equations with time delayed generators," Statistics & Probability Letters, Elsevier, vol. 82(5), pages 979-990.
- Frédéric Sart, 2016. "On the hedging of liabilities with an endogenous profit sharing mechanism," Post-Print hal-01574949, HAL.
- 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.
- Rodwell Kufakunesu & Calisto Guambe & Lesedi Mabitsela, 2018. "Risk-based optimal portfolio of an insurer with regime switching and noisy memory," Papers 1808.04604, arXiv.org, revised Mar 2019.
- Łukasz Delong, 2009.
"Indifference pricing of a life insurance portfolio with systematic mortality risk in a market with an asset driven by a Lévy process,"
Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 2009(1), pages 1-26.
Cited by:
- 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.
- Claudia Ceci & Alessandra Cretarola, 2024. "Optimal reinsurance in a dynamic contagion model: comparing self-exciting and externally-exciting risks," Papers 2404.11482, arXiv.org, revised Sep 2024.
- Łukasz Delong & Russell Gerrard, 2007.
"Mean-variance portfolio selection for a non-life insurance company,"
Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 66(2), pages 339-367, October.
Cited by:
- Li, Zhongfei & Zeng, Yan & Lai, Yongzeng, 2012. "Optimal time-consistent investment and reinsurance strategies for insurers under Heston’s SV model," Insurance: Mathematics and Economics, Elsevier, vol. 51(1), pages 191-203.
- Shen, Yang & Zeng, Yan, 2015. "Optimal investment–reinsurance strategy for mean–variance insurers with square-root factor process," Insurance: Mathematics and Economics, Elsevier, vol. 62(C), pages 118-137.
- Zeng, Yan & Li, Zhongfei, 2011. "Optimal time-consistent investment and reinsurance policies for mean-variance insurers," Insurance: Mathematics and Economics, Elsevier, vol. 49(1), pages 145-154, July.
- Chen, Lv & Shen, Yang, 2019. "Stochastic Stackelberg differential reinsurance games under time-inconsistent mean–variance framework," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 120-137.
- Cao, Jingyi & Landriault, David & Li, Bin, 2020. "Optimal reinsurance-investment strategy for a dynamic contagion claim model," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 206-215.
- Zhao, Hui & Shen, Yang & Zeng, Yan & Zhang, Wenjun, 2019. "Robust equilibrium excess-of-loss reinsurance and CDS investment strategies for a mean–variance insurer with ambiguity aversion," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 159-180.
- Junna Bi & Junyi Guo, 2013. "Optimal Mean-Variance Problem with Constrained Controls in a Jump-Diffusion Financial Market for an Insurer," Journal of Optimization Theory and Applications, Springer, vol. 157(1), pages 252-275, April.
- Alia, Ishak & Chighoub, Farid & Sohail, Ayesha, 2016. "A characterization of equilibrium strategies in continuous-time mean–variance problems for insurers," Insurance: Mathematics and Economics, Elsevier, vol. 68(C), pages 212-223.
- Masaaki Fujii & Akihiko Takahashi, 2014. "Optimal Hedging for Fund & Insurance Managers with Partially Observable Investment Flows," CARF F-Series CARF-F-348, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
- Xue, Xiaole & Wei, Pengyu & Weng, Chengguo, 2019. "Derivatives trading for insurers," Insurance: Mathematics and Economics, Elsevier, vol. 84(C), pages 40-53.
- Masaaki Fujii & Akihiko Takahashi, 2014. "Optimal Hedging for Fund & Insurance Managers with Partially Observable Investment Flows," CARF F-Series CARF-F-338, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
- Chen, Lv & Qian, Linyi & Shen, Yang & Wang, Wei, 2016. "Constrained investment–reinsurance optimization with regime switching under variance premium principle," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 253-267.
- Nicole Bäuerle & Ulrich Rieder, 2013. "Optimal Deterministic Investment Strategies for Insurers," Risks, MDPI, vol. 1(3), pages 1-18, November.
- Masaaki Fujii & Akihiko Takahashi, 2014. "Optimal Hedging for Fund & Insurance Managers with Partially Observable Investment Flows," Papers 1401.2314, arXiv.org, revised Jul 2014.
- Yingxu Tian & Zhongyang Sun, 2018. "Mean-Variance Portfolio Selection in a Jump-Diffusion Financial Market with Common Shock Dependence," JRFM, MDPI, vol. 11(2), pages 1-12, May.
- Zhu, Huainian & Cao, Ming & Zhang, Chengke, 2019. "Time-consistent investment and reinsurance strategies for mean-variance insurers with relative performance concerns under the Heston model," Finance Research Letters, Elsevier, vol. 30(C), pages 280-291.
- Junna Bi & Qingbin Meng & Yongji Zhang, 2014. "Dynamic mean-variance and optimal reinsurance problems under the no-bankruptcy constraint for an insurer," Annals of Operations Research, Springer, vol. 212(1), pages 43-59, January.
- Masaaki Fujii & Akihiko Takahashi, 2014. "Optimal Hedging for Fund & Insurance Managers with Partially Observable Investment Flows," CIRJE F-Series CIRJE-F-914, CIRJE, Faculty of Economics, University of Tokyo.
- Dang, D.M. & Forsyth, P.A., 2016. "Better than pre-commitment mean-variance portfolio allocation strategies: A semi-self-financing Hamilton–Jacobi–Bellman equation approach," European Journal of Operational Research, Elsevier, vol. 250(3), pages 827-841.
- Li, Danping & Rong, Ximin & Zhao, Hui, 2015. "Time-consistent reinsurance–investment strategy for a mean–variance insurer under stochastic interest rate model and inflation risk," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 28-44.
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