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Explicit solutions to an optimal portfolio choice problem with stochastic income

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  • Henderson, Vicky
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    Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

    Volume (Year): 29 (2005)
    Issue (Month): 7 (July)
    Pages: 1237-1266

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    Handle: RePEc:eee:dyncon:v:29:y:2005:i:7:p:1237-1266

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    References

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    1. Andrew J. G. Cairns & David Blake & Kevin Dowd, 2004. "Stochastic lifestyling: optimal dynamic asset allocation for defined contribution pension plans," LSE Research Online Documents on Economics 24831, London School of Economics and Political Science, LSE Library.
    2. Douglas W. Elmendorf & Miles S. Kimball, 1996. "Taxation of labor income and the demand for risky assets," Finance and Economics Discussion Series 96-32, Board of Governors of the Federal Reserve System (U.S.).
    3. 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.
    4. Svensson, Lars E. O. & Werner, Ingrid M., 1993. "Nontraded assets in incomplete markets : Pricing and portfolio choice," European Economic Review, Elsevier, vol. 37(5), pages 1149-1168, June.
    5. Robert R. Bliss & Nikolaos Panigirtzoglou, 2004. "Option-Implied Risk Aversion Estimates," Journal of Finance, American Finance Association, vol. 59(1), pages 407-446, 02.
    6. Hyeng Keun Koo, 1998. "Consumption and Portfolio Selection with Labor Income: A Continuous Time Approach," Mathematical Finance, Wiley Blackwell, vol. 8(1), pages 49-65.
    7. Duffie, Darrell & Fleming, Wendell & Soner, H. Mete & Zariphopoulou, Thaleia, 1997. "Hedging in incomplete markets with HARA utility," Journal of Economic Dynamics and Control, Elsevier, vol. 21(4-5), pages 753-782, May.
    8. Kim, Tong Suk & Omberg, Edward, 1996. "Dynamic Nonmyopic Portfolio Behavior," Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 141-61.
    9. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
    10. Weil, Philippe, 1994. "Nontraded assets and the CAPM," European Economic Review, Elsevier, vol. 38(3-4), pages 913-922, April.
    11. Bodie, Zvi & Merton, Robert C. & Samuelson, William F., 1992. "Labor supply flexibility and portfolio choice in a life cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 427-449.
    12. Munk, Claus, 2000. "Optimal consumption/investment policies with undiversifiable income risk and liquidity constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 24(9), pages 1315-1343, August.
    13. Luis M. Viceira, 2001. "Optimal Portfolio Choice for Long-Horizon Investors with Nontradable Labor Income," Journal of Finance, American Finance Association, vol. 56(2), pages 433-470, 04.
    14. John Y. Campbell & Luis M. Viceira, 1996. "Consumption and Portfolio Decisions When Expected Returns are Time Varying," NBER Working Papers 5857, National Bureau of Economic Research, Inc.
    15. Bhattacharya, Sudipto, 1978. "Project Valuation with Mean-Reverting Cash Flow Streams," Journal of Finance, American Finance Association, vol. 33(5), pages 1317-31, December.
    16. Darrell Duffie & Thaleia Zariphopoulou, 1993. "Optimal Investment With Undiversifiable Income Risk," Mathematical Finance, Wiley Blackwell, vol. 3(2), pages 135-148.
    17. John Heaton & Deborah Lucas, 2000. "Portfolio Choice and Asset Prices: The Importance of Entrepreneurial Risk," Journal of Finance, American Finance Association, vol. 55(3), pages 1163-1198, 06.
    18. Wachter, Jessica A., 2002. "Portfolio and Consumption Decisions under Mean-Reverting Returns: An Exact Solution for Complete Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(01), pages 63-91, March.
    19. Thaleia Zariphopoulou, 1999. "Optimal investment and consumption models with non-linear stock dynamics," Computational Statistics, Springer, vol. 50(2), pages 271-296, October.
    20. Thaleia Zariphopoulou, 2001. "A solution approach to valuation with unhedgeable risks," Finance and Stochastics, Springer, vol. 5(1), pages 61-82.
    21. Duffie, Darrell & Jackson, Matthew O., 1990. "Optimal hedging and equilibrium in a dynamic futures market," Journal of Economic Dynamics and Control, Elsevier, vol. 14(1), pages 21-33, February.
    22. Eeckhoudt, Louis & Gollier, Christian & Schlesinger, Harris, 1996. "Changes in Background Risk and Risk-Taking Behavior," Econometrica, Econometric Society, vol. 64(3), pages 683-89, May.
    23. Vicky Henderson, 2002. "Valuation Of Claims On Nontraded Assets Using Utility Maximization," Mathematical Finance, Wiley Blackwell, vol. 12(4), pages 351-373.
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    Cited by:
    1. Ma, Qing-Ping, 2011. "On "optimal pension management in a stochastic framework" with exponential utility," Insurance: Mathematics and Economics, Elsevier, vol. 49(1), pages 61-69, July.
    2. Gang-Zhi Fan & Ming Pu & Seow Ong, 2012. "Optimal Portfolio Choices, House Risk Hedging and the Pricing of Forward House Transactions," The Journal of Real Estate Finance and Economics, Springer, vol. 45(1), pages 3-29, June.
    3. John H. Cochrane, 2013. "A Mean-Variance Benchmark for Intertemporal Portfolio Theory," NBER Working Papers 18768, National Bureau of Economic Research, Inc.
    4. Keppo, Jussi & Meng, Xu & Sullivan, Michael G., 2007. "A computational scheme for the optimal strategy in an incomplete market," Journal of Economic Dynamics and Control, Elsevier, vol. 31(11), pages 3591-3613, November.
    5. De Jong, Frank, 2008. "Valuation of pension liabilities in incomplete markets," Journal of Pension Economics and Finance, Cambridge University Press, vol. 7(03), pages 277-294, November.
    6. Masahiko Egami & Hideki Iwaki, 2007. "An optimal life insurance policy in the investment-consumption problem in an incomplete market," Papers 0801.0195, arXiv.org, revised May 2011.
    7. Larsen, Linda Sandris & Munk, Claus, 2012. "The costs of suboptimal dynamic asset allocation: General results and applications to interest rate risk, stock volatility risk, and growth/value tilts," Journal of Economic Dynamics and Control, Elsevier, vol. 36(2), pages 266-293.
    8. Yi, Bo & Li, Zhongfei & Viens, Frederi G. & Zeng, Yan, 2013. "Robust optimal control for an insurer with reinsurance and investment under Heston’s stochastic volatility model," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 601-614.
    9. Christensen, Peter Ove & Larsen, Kasper & Munk, Claus, 2012. "Equilibrium in securities markets with heterogeneous investors and unspanned income risk," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1035-1063.
    10. Achury, Carolina & Hubar, Sylwia & Koulovatianos, Christos, 2011. "Saving rates and portfolio choice with subsistence consumption," CFS Working Paper Series 2011/06, Center for Financial Studies (CFS).
    11. George Yungchih Wang, 2012. "Evaluating an Investment Project in an Incomplete Market," The Review of Finance and Banking, Academia de Studii Economice din Bucuresti, Romania / Facultatea de Finante, Asigurari, Banci si Burse de Valori / Catedra de Finante, vol. 4(1), pages 055-073, June.
    12. Gao, Jianwei, 2009. "Optimal portfolios for DC pension plans under a CEV model," Insurance: Mathematics and Economics, Elsevier, vol. 44(3), pages 479-490, June.
    13. Emms, Paul, 2012. "Lifetime investment and consumption using a defined-contribution pension scheme," Journal of Economic Dynamics and Control, Elsevier, vol. 36(9), pages 1303-1321.
    14. Huang, Hung-Hsi & Wang, Ching-Ping, 2013. "Portfolio selection and portfolio frontier with background risk," The North American Journal of Economics and Finance, Elsevier, vol. 26(C), pages 177-196.
    15. Carolina Achury & Sylwia Hubar & Christos Koulovatianos, 2011. "Online Appendix to "Saving Rates and Portfolio Choice with Subsistence Consumption"," Technical Appendices 10-11, Review of Economic Dynamics.

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