Consumption, investment and life insurance strategies with heterogeneous discounting
In this paper we analyze how the optimal consumption, investment and life insur- ance rules are modified by the introduction of a class of time-inconsistent preferences. In particular, we account for the fact that an agents preferences evolve along the planning horizon according to her increasing concern about the bequest left to her descendants and about her welfare at retirement. To this end, we consider a stochas- tic continuous time model with random terminal time for an agent with a known distribution of lifetime under heterogeneous discounting. In order to obtain the time- consistent solution, we solve a non-standard dynamic programming equation. For the case of CRRA and CARA utility functions we compare the explicit solutions for the time-inconsistent and the time-consistent agent. The results are illustrated numeri- cally.
|Date of creation:||2012|
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- repec:spr:compst:v:58:y:2003:i:1:p:159-182 is not listed on IDEAS
- Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-57, August.
- Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
- Marín-Solano, Jesús & Navas, Jorge, 2010.
"Consumption and portfolio rules for time-inconsistent investors,"
European Journal of Operational Research,
Elsevier, vol. 201(3), pages 860-872, March.
- Jesus Marin-Solano & Jorge Navas, 2009. "Consumption and Portfolio Rules for Time-Inconsistent Investors," Papers 0901.2484, arXiv.org, revised Mar 2009.
- Merton, Robert C., 1971.
"Optimum consumption and portfolio rules in a continuous-time model,"
Journal of Economic Theory,
Elsevier, vol. 3(4), pages 373-413, December.
- R. C. Merton, 1970. "Optimum Consumption and Portfolio Rules in a Continuous-time Model," Working papers 58, Massachusetts Institute of Technology (MIT), Department of Economics.
- Karp, Larry, 2007.
"Non-constant discounting in continuous time,"
Journal of Economic Theory,
Elsevier, vol. 132(1), pages 557-568, January.
- Karp, Larry, 2005. "Non-Constant Discounting in Continuous Time," Institute for Research on Labor and Employment, Working Paper Series qt0nn1t22z, Institute of Industrial Relations, UC Berkeley.
- Karp, Larry, 2004. "Non-constant discounting in continuous time," CUDARE Working Paper Series 0969, University of California at Berkeley, Department of Agricultural and Resource Economics and Policy.
- Karp, Larry, 2004. "Non-Constant Discounting in Continuous Time," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt7pr05084, Department of Agricultural & Resource Economics, UC Berkeley.
- Pliska, Stanley R. & Ye, Jinchun, 2007. "Optimal life insurance purchase and consumption/investment under uncertain lifetime," Journal of Banking & Finance, Elsevier, vol. 31(5), pages 1307-1319, May.
- repec:dau:papers:123456789/11473 is not listed on IDEAS
- de-Paz, Albert & Marín-Solano, Jesús & Navas, Jorge, 2013. "A consumption–investment problem with heterogeneous discounting," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 221-232.
- Leung, S.F., 1992.
"Uncertain Lifetime, the Theory of the Consumer, and the Life Cycle Hypothesis,"
RCER Working Papers
323, University of Rochester - Center for Economic Research (RCER).
- Leung, Siu Fai, 1994. "Uncertain Lifetime, the Theory of the Consumer, and the Life Cycle Hypothesis," Econometrica, Econometric Society, vol. 62(5), pages 1233-39, September.
- E. S. Phelps & R. A. Pollak, 1968. "On Second-Best National Saving and Game-Equilibrium Growth," Review of Economic Studies, Oxford University Press, vol. 35(2), pages 185-199.
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