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The existence, uniqueness, and optimality of the terminal wealth depletion time in life-cycle models of saving under uncertain lifetime and borrowing constraint

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  • Leung, Siu Fai

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  • Leung, Siu Fai, 2007. "The existence, uniqueness, and optimality of the terminal wealth depletion time in life-cycle models of saving under uncertain lifetime and borrowing constraint," Journal of Economic Theory, Elsevier, vol. 134(1), pages 470-493, May.
    • Handle: RePEc:eee:jetheo:v:134:y:2007:i:1:p:470-493
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    1. Davies, James B, 1981. "Uncertain Lifetime, Consumption, and Dissaving in Retirement," Journal of Political Economy, University of Chicago Press, vol. 89(3), pages 561-577, June.
    2. Leung, Siu Fai, 1994. "Uncertain Lifetime, the Theory of the Consumer, and the Life Cycle Hypothesis," Econometrica, Econometric Society, vol. 62(5), pages 1233-1239, September.
    3. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521331586.
    4. McCallum, Bennett T., 2003. "Multiple-solution indeterminacies in monetary policy analysis," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 1153-1175, July.
    5. Cardia, Emanuela, 1997. "Replicating Ricardian Equivalence Tests with Simulated Series," American Economic Review, American Economic Association, vol. 87(1), pages 65-79, March.
    6. Siu Fai Leung, 2002. "The Dynamic Effects of Social Security on Individual Consumption, Wealth and Welfare," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 4(4), pages 581-612, October.
    7. Lele, Milind M & Jacobson, David H & McCabe, James L, 1971. "Qualitative Application of a Result in Control Theory to Problems of Economic Growth," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 12(2), pages 209-226, June.
    8. R. Glenn Hubbard, 1987. "Uncertain Lifetimes, Pensions, and Individual Saving," NBER Chapters, in: Issues in Pension Economics, pages 175-210, National Bureau of Economic Research, Inc.
    9. Bodie, Zvi & Shoven, John B. & Wise, David A. (ed.), 1987. "Issues in Pension Economics," National Bureau of Economic Research Books, University of Chicago Press, edition 1, number 9780226062846, December.
    10. Siu Fai Leung, 2000. "Why Do Some Households Save So Little? A Rational Explanation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(4), pages 771-800, October.
    11. Abel, Andrew B, 1985. "Precautionary Saving and Accidental Bequests," American Economic Review, American Economic Association, vol. 75(4), pages 777-791, September.
    12. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
    13. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    14. Leung, Siu Fai, 2001. "The life-cycle model of saving with uncertain lifetime and borrowing constraint;: characterization and sensitivity analysis," Mathematical Social Sciences, Elsevier, vol. 42(2), pages 179-201, September.
    15. Kamihigashi, Takashi, 2001. "Necessity of Transversality Conditions for Infinite Horizon Problems," Econometrica, Econometric Society, vol. 69(4), pages 995-1012, July.
    16. Mariger, Randall P, 1987. "A Life-cycle Consumption Model with Liquidity Contraints: Theory and Empirical Results," Econometrica, Econometric Society, vol. 55(3), pages 533-557, May.
    17. David Ulph & Richard Hemming, 1980. "Uncertain Lifetime, Imperfect Insurance Markets and the Valuation of Pension Wealth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(3), pages 587-593.
    18. Guesnerie, Roger, 1975. "Pareto Optimality in Non-Convex Economies," Econometrica, Econometric Society, vol. 43(1), pages 1-29, January.
    19. Rabault, Guillaume, 2002. "When do borrowing constraints bind? Some new results on the income fluctuation problem," Journal of Economic Dynamics and Control, Elsevier, vol. 26(2), pages 217-245, February.
    20. Hubbard, R Glenn & Judd, Kenneth L, 1987. "Social Security and Individual Welfare: Precautionary Saving, Borrowing Constraints, and the Payroll Tax," American Economic Review, American Economic Association, vol. 77(4), pages 630-646, September.
    21. Woodford, Michael, 2003. "Comment on: Multiple-solution indeterminacies in monetary policy analysis," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 1177-1188, July.
    22. Leung, Siu Fai, 1993. "Optimality for Controlled Jump Processes: A Simple Approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(4), pages 765-774, October.
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    Cited by:

    1. Drouhin, Nicolas, 2015. "A rank-dependent utility model of uncertain lifetime," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 208-224.
    2. 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.
    3. 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.
    4. Ben Heijdra & Laurie Reijnders, 2013. "Economic Growth and Longevity Risk with Adverse Selection," De Economist, Springer, vol. 161(1), pages 69-97, March.
    5. Kuhn, Michael & Wrzaczek, Stefan & Prskawetz, Alexia & Feichtinger, Gustav, 2015. "Optimal choice of health and retirement in a life-cycle model," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 186-212.
    6. 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.
    7. Ben J. Heijdra & Jochen O. Mierau, 2009. "Annuity Market Imperfection, Retirement and Economic Growth," CESifo Working Paper Series 2717, CESifo.
    8. Leung, Siu Fai, 2009. "Cake eating, exhaustible resource extraction, life-cycle saving, and non-atomic games: Existence theorems for a class of optimal allocation problems," Journal of Economic Dynamics and Control, Elsevier, vol. 33(6), pages 1345-1360, June.

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