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Lifetime consumption and investment: Retirement and constrained borrowing

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Cited by:

  1. Wujun Lv & Linlin Tian & Xiaoyi Zhang, 2023. "Optimal Defined Contribution Pension Management with Jump Diffusions and Common Shock Dependence," Mathematics, MDPI, vol. 11(13), pages 1-20, July.
  2. Junkee Jeon & Hyeng Keun Koo & Yong Hyun Shin & Zhou Yang, 2021. "An Integral Equation Representation for Optimal Retirement Strategies in Portfolio Selection Problem," Computational Economics, Springer;Society for Computational Economics, vol. 58(3), pages 885-914, October.
  3. Kamma, Thijs & Pelsser, Antoon, 2022. "Near-optimal asset allocation in financial markets with trading constraints," European Journal of Operational Research, Elsevier, vol. 297(2), pages 766-781.
  4. 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.
  5. Chen, Zheng & Li, Zhongfei & Zeng, Yan & Shen, Yang, 2025. "Dynamic derivative-based pension investment with stochastic volatility: A behavioral perspective," Insurance: Mathematics and Economics, Elsevier, vol. 125(C).
  6. Bae, Se Yung & Jeon, Junkee & Koo, Hyeng Keun, 2026. "Consumption, investment, life insurance, and early retirement decisions under habit-dependent living standards," The Quarterly Review of Economics and Finance, Elsevier, vol. 106(C).
  7. Chen, Zheng & Li, Zhongfei & Zeng, Yan & Sun, Jingyun, 2017. "Asset allocation under loss aversion and minimum performance constraint in a DC pension plan with inflation risk," Insurance: Mathematics and Economics, Elsevier, vol. 75(C), pages 137-150.
  8. An Chen & Giorgio Ferrari & Shihao Zhu, 2023. "Striking the Balance: Life Insurance Timing and Asset Allocation in Financial Planning," Papers 2312.02943, arXiv.org, revised Jun 2025.
  9. Zhou Yang & Hyeng Keun Koo, 2018. "Optimal Consumption and Portfolio Selection with Early Retirement Option," Mathematics of Operations Research, INFORMS, vol. 43(4), pages 1378-1404, November.
  10. Huiling Wu, 2016. "Optimal Investment-Consumption Strategy under Inflation in a Markovian Regime-Switching Market," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-17, July.
  11. Caliendo, Frank N. & Findley, T. Scott, 2020. "Dynamic Consistency and Regret," Journal of Economic Behavior & Organization, Elsevier, vol. 173(C), pages 342-364.
  12. Enrico Biffis & Beniamin Goldys & Cecilia Prosdocimi & Margherita Zanella, 2023. "A pricing formula for delayed claims: appreciating the past to value the future," Mathematics and Financial Economics, Springer, volume 17, number 2, December.
  13. Ahn, Seryoong & Ryu, Doojin, 2024. "Optimal chonsei to monthly rent conversion choice given borrowing constraints," The Quarterly Review of Economics and Finance, Elsevier, vol. 93(C), pages 28-42.
  14. Dirk Becherer & Wilfried Kuissi-Kamdem & Olivier Menoukeu-Pamen, 2023. "Optimal consumption with labor income and borrowing constraints for recursive preferences," Working Papers hal-04017143, HAL.
  15. Ding, Guodong & Marazzina, Daniele, 2022. "The impact of liquidity constraints and cashflows on the optimal retirement problem," Finance Research Letters, Elsevier, vol. 49(C).
  16. Jaime Villanueva-García & Ignacio Moral-Arce & Luis Javier García Villalba, 2025. "A Microsimulation Model for Sustainability and Detailed Adequacy Analysis of the Retirement Pension System," Mathematics, MDPI, vol. 13(3), pages 1-28, January.
  17. Weidong Tian & Zimu Zhu, 2020. "A Portfolio Choice Problem Under Risk Capacity Constraint," Papers 2005.13741, arXiv.org, revised Dec 2021.
  18. Kexin Chen & Junkee Jeon & Hoi Ying Wong, 2022. "Optimal Retirement Under Partial Information," Mathematics of Operations Research, INFORMS, vol. 47(3), pages 1802-1832, August.
  19. 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.
  20. Tae Ung Gang & Seyoung Park & Yong Hyun Shin, 2025. "Income Disaster, Role of Income Support, and Optimal Retirement," Papers 2509.12874, arXiv.org, revised Sep 2025.
  21. Lin He & Zongxia Liang & Yilun Song & Qi Ye, 2021. "Optimal Retirement Time and Consumption with the Variation in Habitual Persistence," Papers 2103.16800, arXiv.org.
  22. Park, Seyoung, 2020. "Verification theorems for models of optimal consumption and investment with annuitization," Mathematical Social Sciences, Elsevier, vol. 103(C), pages 36-44.
  23. Zhang, Qingye & Gao, Yan, 2016. "Optimal consumption—portfolio problem with CVaR constraints," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 516-521.
  24. Findley, T. Scott & Caliendo, Frank N., 2015. "Time inconsistency and retirement choice," Economics Letters, Elsevier, vol. 129(C), pages 4-8.
  25. He, Lin & Liang, Zongxia & Song, Yilun & Ye, Qi, 2022. "Optimal asset allocation, consumption and retirement time with the variation in habitual persistence," Insurance: Mathematics and Economics, Elsevier, vol. 102(C), pages 188-202.
  26. Ivanov, Katerina & Tian, Weidong, 2024. "Optimal early retirement with target wealth," Journal of Economic Dynamics and Control, Elsevier, vol. 167(C).
  27. 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).
  28. Zhou, Ming & Zhou, Hao & Meng, Hui, 2026. "Optimal consumption and investment in an incomplete market with hedgeable stochastic income," European Journal of Operational Research, Elsevier, vol. 330(1), pages 311-325.
  29. Jeon, Junkee & Park, Kyunghyun, 2023. "Optimal job switching and retirement decision," Applied Mathematics and Computation, Elsevier, vol. 443(C).
  30. Borys Grochulski & Yuzhe Zhang, 2019. "Wealth Effects with Endogenous Retirement," Economic Quarterly, Federal Reserve Bank of Richmond, issue 3Q, pages 173-200.
  31. Bäuerle Nicole & Chen An, 2019. "Optimal retirement planning under partial information," Statistics & Risk Modeling, De Gruyter, vol. 36(1-4), pages 37-55, December.
  32. Luca Benzoni & Olena Chyruk, 2013. "Human Capital and Long-Run Labor Income Risk," Working Paper Series WP-2013-16, Federal Reserve Bank of Chicago.
  33. Ryle Perera, 2013. "Optimal investment, consumption–leisure, insurance and retirement choice," Annals of Finance, Springer, vol. 9(4), pages 689-723, November.
  34. 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.
  35. Kyoung Jin Choi & Hyeng Keun Koo & Byung Hwa Lim & Jane Yoo, 2024. "Endogenous Credit, Business Cycle, and Portfolio Selection," Operations Research, INFORMS, vol. 72(3), pages 871-884, May.
  36. Junkee Jeon & Hyeng Keun Koo & Minsuk Kwak, 2024. "Human capital and portfolio choice: borrowing constraint and reversible retirement," Mathematics and Financial Economics, Springer, volume 18, number 5, December.
  37. 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.
  38. Puri, Manju & Robinson, David T., 2007. "Optimism and economic choice," Journal of Financial Economics, Elsevier, vol. 86(1), pages 71-99, October.
  39. Djehiche, Boualem & Gozzi, Fausto & Zanco, Giovanni & Zanella, Margherita, 2022. "Optimal portfolio choice with path dependent benchmarked labor income: A mean field model," Stochastic Processes and their Applications, Elsevier, vol. 145(C), pages 48-85.
  40. Kwok, Kai Yin & Chiu, Mei Choi & Wong, Hoi Ying, 2016. "Demand for longevity securities under relative performance concerns: Stochastic differential games with cointegration," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 353-366.
  41. Hyeng Keun Koo & Kum-Hwan Roh & Yong Hyun Shin, 2021. "Optimal consumption/investment and retirement with necessities and luxuries," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 94(2), pages 281-317, October.
  42. Jinhui Zhang & Sachi Purcal & Jiaqin Wei, 2017. "Optimal Time to Enter a Retirement Village," Risks, MDPI, vol. 5(1), pages 1-20, March.
  43. Zongxia Liang & Fengyi Yuan, 2021. "Weak equilibria for time-inconsistent control: with applications to investment-withdrawal decisions," Papers 2105.06607, arXiv.org, revised Jun 2023.
  44. Tao, Cheng & Rong, Ximin & Zhao, Hui, 2023. "Stochastic control with inhomogeneous regime switching: Application to consumption and investment with unemployment and reemployment," Journal of Mathematical Economics, Elsevier, vol. 107(C).
  45. 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.
  46. 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.
  47. Giorgio Ferrari & Shihao Zhu, 2023. "Optimal Retirement Choice under Age-dependent Force of Mortality," Papers 2311.12169, arXiv.org.
  48. Enrico Biffis & Beniamin Goldys & Cecilia Prosdocimi & Margherita Zanella, 2015. "A pricing formula for delayed claims: Appreciating the past to value the future," Papers 1505.04914, arXiv.org, revised Jul 2022.
  49. Chen, An & Vellekoop, Michel, 2017. "Optimal investment and consumption when allowing terminal debt," European Journal of Operational Research, Elsevier, vol. 258(1), pages 385-397.
  50. Zongxia Liang & Fengyi Yuan, 2023. "Weak equilibria for time‐inconsistent control: With applications to investment‐withdrawal decisions," Mathematical Finance, Wiley Blackwell, vol. 33(3), pages 891-945, July.
  51. Weidong Tian & Zimu Zhu, 2022. "A portfolio choice problem under risk capacity constraint," Annals of Finance, Springer, vol. 18(3), pages 285-326, September.
  52. Tian, Geran & Jin, Changlun & Wu, Weixing, 2024. "Too old to spend? Understanding the consumption of the elderly in China," China Economic Review, Elsevier, vol. 88(C).
  53. Chen, Zheng & Li, Zhongfei & Zeng, Yan, 2023. "Portfolio choice with illiquid asset for a loss-averse pension fund investor," Insurance: Mathematics and Economics, Elsevier, vol. 108(C), pages 60-83.
  54. Li, Qi & Shin, Yong Hyun & Yoon, Ji-Hun, 2025. "Job switching and bequest motives in an optimal consumption–investment model under inflation and mortality risks," Economic Modelling, Elsevier, vol. 153(C).
  55. Arjmandi, Nabi, 2023. "Optimal Portfolio Rebalancing with Sweep Under Transaction Cost," MPRA Paper 117162, University Library of Munich, Germany.
  56. Hyun Jin Jang & Zuo Quan Xu & Harry Zheng, 2024. "Optimal Investment, Heterogeneous Consumption, and Best Time for Retirement," Operations Research, INFORMS, vol. 72(2), pages 832-847, March.
  57. Jang, Bong-Gyu & Lee, Ho-Seok, 2016. "Retirement with risk aversion change and borrowing constraints," Finance Research Letters, Elsevier, vol. 16(C), pages 112-124.
  58. 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.
  59. Moshe Levy, 2025. "Relative risk aversion must be close to 1," Annals of Operations Research, Springer, vol. 346(1), pages 127-135, March.
  60. Lijun Bo & Yijie Huang & Tingting Zhang, 2026. "Optimal Consumption and Retirement Time under Shortfall Risk Measure," Papers 2606.18935, arXiv.org.
  61. Alain Bensoussan & Bong-Gyu Jang & Seyoung Park, 2016. "Unemployment Risks and Optimal Retirement in an Incomplete Market," Operations Research, INFORMS, vol. 64(4), pages 1015-1032, August.
  62. Enrico Biffis & Fausto Gozzi & Cecilia Prosdocimi, 2020. "Optimal portfolio choice with path dependent labor income: the infinite horizon case," Papers 2002.00201, arXiv.org.
  63. Pan, Xuefeng & Tian, Yuhao & Wu, Weixing, 2025. "Digital finance and household retirement planning: Evidence from China," Research in International Business and Finance, Elsevier, vol. 80(C).
  64. Zeng, Yan & Li, Danping & Chen, Zheng & Yang, Zhou, 2018. "Ambiguity aversion and optimal derivative-based pension investment with stochastic income and volatility," Journal of Economic Dynamics and Control, Elsevier, vol. 88(C), pages 70-103.
  65. Luca Benzon & Olena Chyruk, 2015. "The Value and Risk of Human Capital," Annual Review of Financial Economics, Annual Reviews, vol. 7(1), pages 179-200, December.
  66. Chen, Shumin & Luo, Dan & Yao, Haixiang, 2024. "Optimal investor life cycle decisions with time-inconsistent preferences," Journal of Banking & Finance, Elsevier, vol. 161(C).
  67. Luca Benzoni & Pierre Collin‐Dufresne & Robert S. Goldstein, 2007. "Portfolio Choice over the Life‐Cycle when the Stock and Labor Markets Are Cointegrated," Journal of Finance, American Finance Association, vol. 62(5), pages 2123-2167, October.
  68. Philip H. Dybvig & Hong Liu, 2011. "Verification Theorems for Models of Optimal Consumption and Investment with Retirement and Constrained Borrowing," Mathematics of Operations Research, INFORMS, vol. 36(4), pages 620-635, November.
  69. Chen, An & Hentschel, Felix & Steffensen, Mogens, 2021. "On retirement time decision making," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 107-129.
  70. Alain Bensoussan & Seyoung Park, 2025. "Optimal Consumption and Investment with Independent Stochastic Labor Income," Mathematics of Operations Research, INFORMS, vol. 50(1), pages 356-389, February.
  71. Geonwoo Kim & Junkee Jeon, 2025. "Optimal Consumption, Portfolio, and Retirement Under Implementation Delay," Mathematics, MDPI, vol. 13(17), pages 1-12, August.
  72. Barucci, Emilio & Biffis, Enrico & Marazzina, Daniele, 2023. "Health insurance, portfolio choice, and retirement incentives," European Journal of Operational Research, Elsevier, vol. 307(2), pages 910-921.
  73. Weidong Tian & Zimu Zhu, 2022. "Smoothness of the Value Function for Optimal Consumption Model with Consumption-Wealth Utility and Borrowing Constraint," Papers 2210.01016, arXiv.org, revised Dec 2023.
  74. Park, Kyunghyun & Wong, Hoi Ying & Yan, Tingjin, 2023. "Robust retirement and life insurance with inflation risk and model ambiguity," Insurance: Mathematics and Economics, Elsevier, vol. 110(C), pages 1-30.
  75. Choi, Sungsub & Kim, Sungjun & Shim, Gyoocheol, 2016. "Effect of lifetime uncertainty on consumption/investment with luxury bequest motives," Finance Research Letters, Elsevier, vol. 17(C), pages 275-279.
  76. Wang, Ling & Chen, Kexin & Chiu, Mei Choi & Wong, Hoi Ying, 2023. "Optimal expansion of business opportunity," European Journal of Operational Research, Elsevier, vol. 309(1), pages 432-445.
  77. Chen, Guodong & Lee, Minjoon & Nam, Tong-yob, 2020. "Forced retirement risk and portfolio choice," Journal of Empirical Finance, Elsevier, vol. 58(C), pages 293-315.
  78. 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.
  79. Ling Wang & Kexin Chen & Mei Choi Chiu & Hoi Ying Wong, 2021. "Optimal Expansion of Business Opportunity," Papers 2112.06706, arXiv.org.
  80. Lee, Ho-Seok & Lim, Byung Hwa, 2023. "Personal bankruptcy and post-bankruptcy liquidity constraint," Journal of Banking & Finance, Elsevier, vol. 152(C).
  81. Guohui Guan & Qitao Huang & Zongxia Liang & Fengyi Yuan, 2020. "Retirement decision with addictive habit persistence in a jump diffusion market," Papers 2011.10166, arXiv.org, revised Feb 2024.
  82. Park, Seyoung, 2015. "A generalization of Yaari’s result on annuitization with optimal retirement," Economics Letters, Elsevier, vol. 137(C), pages 17-20.
  83. 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.
  84. Jang, Bong-Gyu & Park, Seyoung & Zhao, Huainan, 2020. "Optimal retirement with borrowing constraints and forced unemployment risk," Insurance: Mathematics and Economics, Elsevier, vol. 94(C), pages 25-39.
  85. Wang, Ning & Siu, Tak Kuen, 2024. "Investment–consumption optimization with transaction cost and learning about return predictability," European Journal of Operational Research, Elsevier, vol. 318(3), pages 877-891.
  86. Li, Shuang & Meng, Hui & Zhou, Ming, 2025. "Optimal consumption-leisure-investment and retirement choices with nonconcave aspirational utility," Insurance: Mathematics and Economics, Elsevier, vol. 125(C).
  87. Florina Salaghe & Dimitra Papadovasilaki & Federico Guerrero & James Sundali, 2020. "Temptation and Retirement Accounts: A Story of Time Inconsistency and Bounded Rationality," Athens Journal of Business & Economics, Athens Institute for Education and Research (ATINER), vol. 6(3), pages 173-198, April.
  88. Chen, An & Pelsser, Antoon & Vellekoop, Michel, 2011. "Modeling non-monotone risk aversion using SAHARA utility functions," Journal of Economic Theory, Elsevier, vol. 146(5), pages 2075-2092, September.
  89. 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.
  90. Valentinas Rudys, 2023. "How does retirement affect optimal life cycle portfolio allocation between stocks and bonds?," Journal of Asset Management, Palgrave Macmillan, vol. 24(3), pages 212-224, May.
  91. Lin, Zhenmei & Lai, Chong & Li, Rui, 2025. "Optimal consumption and portfolio selection for retirees under inflation and pension default risk," The North American Journal of Economics and Finance, Elsevier, vol. 79(C).
  92. Dybvig, Philip H. & Wang, Yajun, 2012. "Increases in risk aversion and the distribution of portfolio payoffs," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1222-1246.
  93. 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.
  94. Chae, Jiwon & Jang, Bong-Gyu & Park, Seyoung, 2023. "Analytic approach for models of optimal retirement with disability risk," Mathematical Social Sciences, Elsevier, vol. 126(C), pages 68-75.
  95. Daniele Marazzina, 2024. "Optimal retirement in presence of stochastic labor income: a free boundary approach in an incomplete market," Papers 2407.19190, arXiv.org, revised Mar 2025.
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