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http://dx.doi.org/10.14403/jcms.2016.29.2.375

OPTIMAL CONSUMPTION, PORTFOLIO, AND LIFE INSURANCE WITH BORROWING CONSTRAINT AND RISK AVERSION CHANGE  

Lee, Ho-Seok (Department of Mathematics Kwangwoon University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.29, no.2, 2016 , pp. 375-383 More about this Journal
Abstract
This paper investigates an optimal consumption, portfolio, and life insurance strategies of a family when there is a borrowing constraint and risk aversion change at the time of death of the breadwinner. A CRRA utility is employed and by using the dynamic programming method, we obtain analytic expressions for the optimal strategies.
Keywords
portfolio selection; life insurance; borrowing constraint; risk aversion change; dynamic programming method;
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1 P. H. Dybvig and H. Liu, Lifetime consumption and investment: Retirement and constrained borrowing, Journal of Economic Theory 145 (2010), 885-907.   DOI
2 H. Huang and M. A. Milevsky, Portfolio choice and mortality-contingent claims: The general HARA case, Journal of Banking & Finance 32 (2008), 2444-2452.   DOI
3 H. He and H.F. Pages, Labor income, borrowing constraints, and equilibrium asset prices, Economic Theory 3 (1993), 663-696.   DOI
4 B. G. Jang and H. Lee, Retirement with risk aversion change and borrowing constraints, Finance Research Letters (2015), http://dx.doi.org/10.1016/j.frl.2015.10.003.   DOI
5 M. Kwak, Y. H. Shin, and U. J. Choi, Optimal portfolio, consumption and retirement decision under a preference change, Journal of Mathematical Analysis and Applications 355 (2009), 527-540.   DOI
6 M. Kwak, Y. H. Shin, and U. J. Choi, Optimal investment and consumption decision of a family with life insurance, Insurance: Mathematics and Economics 48 (2011), 176-188.   DOI
7 R. C. Merton, Lifetime portfolio selection under uncertainty: The continuous-time case, Review of Economics and Statistics 51 (1969), 247-257.   DOI
8 R. C. Merton, Optimum consumption and portfolio rules in a continuous-time model, Journal of Economic Theory 3 (1971), 373-413.   DOI
9 S. R. Pliska and J. Ye, Optimal life insurance purchase and consumption/investment under uncertain lifetime, Journal of Banking & Finance 31 (2007), 1307-1319.   DOI
10 S. F. Richard, Optimal consumption, portfolio and life insurance rules for an uncertain lived individual in a continuous time model, Journal of Financial Economics 2 (1975), 187-203.   DOI
11 L. R. Sotomayor and A. Cadenillas, Explicit solutions of consumption-investment problems in financial markets with regime switching, Mathematical Finance 19 (2009), 251-279.   DOI
12 S. P. Sethi, M. I. Taksar, and E. L. Presman, Explicit solution of a general consumption/portfolio problem with subsistence consumption and bankruptcy, Journal of Economic Dynamics and Control 16 (1992), 747-768.   DOI
13 Y. Shen and J. Wei, Optimal investment-consumption-insurance with random parameters, Scandinavian Actuarial Journal 2016 (2016), 37-62.   DOI
14 T. Zariphopoulou, Consumptioninvestment models with constraints, SIAM Journal on Control and Optimization 32 (1994), 59-85.   DOI