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Risky asset allocation and consumption rule in the presence of background risk and insurance markets

  • Lin, Wen-chang
  • Lu, Jin-ray
Registered author(s):

    This study examines joint decisions regarding risky asset allocation and consumption rate for a representative agent in the presence of background risk and insurance markets. Contrary to the conclusion of the “mutual fund separation theorem”, we show that the optimal risky asset mix will reflect an agent’s risk attitude as long as background risk is not independent of investment risk. This result can, however, be used to solve the “riskyasset allocation puzzle”. We also unveil that optimal insurance to shift background risk is determined through establishing a hedging portfolio against investment risk and is an arrangement maintaining the balance between growth and volatility of expected consumption. Because the optimal insurance we obtain generally leads to a smoother consumption path, it may plausibly explain the “equity premium puzzle” in the financial literature.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0167668711001193
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    Article provided by Elsevier in its journal Insurance: Mathematics and Economics.

    Volume (Year): 50 (2012)
    Issue (Month): 1 ()
    Pages: 150-158

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    Handle: RePEc:eee:insuma:v:50:y:2012:i:1:p:150-158
    Contact details of provider: Web page: http://www.elsevier.com/locate/inca/505554

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    1. 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.
    2. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942, March.
    3. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
    4. Jagannathan, Ravi & Kubota, Keiichi & Takehara, Hitoshi, 1998. "Relationship between Labor-Income Risk and Average Return: Empirical Evidence from the Japanese Stock Market," The Journal of Business, University of Chicago Press, vol. 71(3), pages 319-47, July.
    5. Mayers, David & Smith, Clifford W, Jr, 1983. "The Interdependence of Individual Portfolio Decisions and the Demand for Insurance," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 304-11, April.
    6. Canner, Niko & Mankiw, N Gregory & Weil, David N, 1997. "An Asset Allocation Puzzle," American Economic Review, American Economic Association, vol. 87(1), pages 181-91, March.
    7. Thomas Eichner & Andreas Wagener, 2003. "Variance Vulnerability, Background Risks, and Mean-Variance Preferences," The Geneva Risk and Insurance Review, Palgrave Macmillan, vol. 28(2), pages 173-184, December.
    8. Isabelle Bajeux-Besnainou & James V. Jordan & Roland Portait, 2001. "An Asset Allocation Puzzle: Comment," American Economic Review, American Economic Association, vol. 91(4), pages 1170-1179, September.
    9. Wen-chang Lin & Jin-ray Lu, 2007. "Insurance risk exchange in the presence of background risk and private information: A continuous-time model," Journal of Risk Finance, Emerald Group Publishing, vol. 8(3), pages 288-308, May.
    10. Cochrane, John H. & Campbell, John, 1999. "By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Scholarly Articles 3119444, Harvard University Department of Economics.
    11. R. Mehra & E. Prescott, 2010. "The equity premium: a puzzle," Levine's Working Paper Archive 1401, David K. Levine.
    12. Menoncin, Francesco, 2002. "Optimal portfolio and background risk: an exact and an approximated solution," Insurance: Mathematics and Economics, Elsevier, vol. 31(2), pages 249-265, October.
    13. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, 09.
    14. 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.
    15. Luis M. Viceira, 1999. "Optimal Portfolio Choice for Long-Horizon Investors with Nontradable Labor Income," NBER Working Papers 7409, National Bureau of Economic Research, Inc.
    16. Doherty, Neil A & Schlesinger, Harris, 1983. "Optimal Insurance in Incomplete Markets," Journal of Political Economy, University of Chicago Press, vol. 91(6), pages 1045-54, December.
    17. 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.
    18. Jack Meyer & Michael B. Ormiston, 1995. "Demand for insurance in a portfolio setting," The Geneva Risk and Insurance Review, Palgrave Macmillan, vol. 20(2), pages 203-211, December.
    19. Samuelson, Paul A, 1969. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 239-46, August.
    20. Otrok, Christopher & Ravikumar, B. & Whiteman, Charles H., 2002. "Habit formation: a resolution of the equity premium puzzle?," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1261-1288, September.
    21. Stefano Athanasoulis & Oren Sussman, 2007. "Habit formation and the equity–premium puzzle: a skeptical view," Annals of Finance, Springer, vol. 3(2), pages 193-212, March.
    22. Gould, John P, 1969. "The Expected Utility Hypothesis and the Selection of Optimal Deductibles for a Given Insurance Policy," The Journal of Business, University of Chicago Press, vol. 42(2), pages 143-51, April.
    23. Lioui, Abraham, 2007. "The asset allocation puzzle is still a puzzle," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1185-1216, April.
    24. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-43, June.
    25. Meglena Jeleva, 1998. "Background Risk, Demand for Insurance and Choquet Expected Utility Preferences," Working Papers 98-52, Centre de Recherche en Economie et Statistique.
    26. Michael J. Brennan & Yihong Xia, 2002. "Dynamic Asset Allocation under Inflation," Journal of Finance, American Finance Association, vol. 57(3), pages 1201-1238, 06.
    27. Zvi Bodie & Robert C. Merton & William F. Samuelson, 1992. "Labor Supply Flexibility and Portfolio Choice in a Life-Cycle Model," NBER Working Papers 3954, National Bureau of Economic Research, Inc.
    28. Wenan Fei & Harris Schlesinger, 2008. "Precautionary Insurance Demand With State-Dependent Background Risk," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(1), pages 1-16.
    29. Huaxiong Huang & Moshe A. Milevsky & Jin Wang, 2008. "Portfolio Choice and Life Insurance: The CRRA Case," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(4), pages 847-872.
    30. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-87, September.
    31. Heaton, John & Lucas, Deborah, 2000. "Portfolio Choice in the Presence of Background Risk," Economic Journal, Royal Economic Society, vol. 110(460), pages 1-26, January.
    32. Isabelle Bajeux-Besnainou & James V. Jordan & Roland Portait, 2003. "Dynamic Asset Allocation for Stocks, Bonds, and Cash," The Journal of Business, University of Chicago Press, vol. 76(2), pages 263-288, April.
    33. Tsanakas, Andreas, 2008. "Risk measurement in the presence of background risk," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 520-528, April.
    34. Heaton, John & Lucas, Deborah, 1997. "Market Frictions, Savings Behavior, And Portfolio Choice," Macroeconomic Dynamics, Cambridge University Press, vol. 1(01), pages 76-101, January.
    35. Joao F. Cocco, 2005. "Consumption and Portfolio Choice over the Life Cycle," Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 491-533.
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