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http://dx.doi.org/10.14403/jcms.2016.29.2.329

PORTFOLIO SELECTION WITH INCOME RISK: A NEW APPROACH  

Lim, Byung Hwa (Department of Economics and Finance The University of Suwon)
Publication Information
Journal of the Chungcheong Mathematical Society / v.29, no.2, 2016 , pp. 329-336 More about this Journal
Abstract
The optimal portfolio choice problem with a stochastic income is considered in continuous-time framework. We provide a novel approach to treat the stochastic income when the market is complete. The developed method is useful to obtain closed-form solutions of the problems under borrowing constraints.
Keywords
portfolio selection; stochastic income; borrowing constraints; CRRA utility;
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1 J. C. Cox and C. F. Huang, Optimal Consumption and Portfolio Polices When Asset Prices Follow a Diffussion Process, J. Econ. Theory 49 (1989) 33-83.   DOI
2 J. Detemple and A. Serrat, Dynamic Equilibrium with Liquidity Constraints, Rev. Finan. Stud. 16 (2003), 597-629.   DOI
3 D. Duffie, W. Fleming, H. Soner, and T. Zariphopoulou, Hedging in Incomplet Market with HARA Utility, J. Econ. Dynm. Control 21 (1997), 753-782.   DOI
4 P. H. Dybvig and H. Liu, Lifetime consumption and investment: Retirement and constrained borrowing, J. Econ. Theory 145 (2010), 885-907.   DOI
5 E. Farhi and S. Panageas, Saving and investing for early retirement: A theoretical analysis, J. Finan. Econ. 83 (2007), 87-121.   DOI
6 H. He and H. F. Pages, Labor Income, Borrowing Constraints, and Equilibrium Asset Prices: A Duality Approach, Econ. Theory 3 (1993), 663-696.   DOI
7 I. Karatzas, J. P. Lehoczky, E. P. Sethi, and S. E. Shreve, Explicit Solution of a General Consumption/Investment Problem, Math. Operations Res. 11 (1986), 613-636.
8 I. Karatzas, J. P. Lehoczky, S. E. Shreve, and G. L. Xu, Martingale and Duality Methods for Utility Maximization in an Incomplete Market, SIAM J. Control Optim. 29 (1991), 702-730.   DOI
9 N. E. E. Karoui and M. Jeanblanc-Pique, Optimization of Consumption With Labor Income, Financ. Stochastics 2 (1998), 409-440.   DOI
10 H. Koo, Consumption and Portpolio Selection with Labor Income: A Continuous time Approach, Math. Financ. 8 (1998), 49-65.   DOI
11 R. C. Merton, Optimum Consumption and Portfolio Rules in a Continuous-Time Model, J. Econ. Theory 3 (1971), 373-413.   DOI
12 C. Munk, Optimal consumption-investment policies with un-diversifiable income risk and liquidity constraints, J. Econ. Dynamic. Cont. 24 (2000), 1315-1343.   DOI
13 C. Munk and C. Sorensen, Dynamic asset allocation with stochastic income and interest rates, J. Financ. Econ. 96 (2010), 433-462.   DOI