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Idiosyncratic risk, sharing rules, and the theory of risk bearing

Author

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  • Franke, Günter
  • Stapleton, Richard C.
  • Subrahmanyam, Marti G.
Abstract
The choice of an agent between risky and riskless assets is complicated by the existence of idiosyncratic risk. In this paper the agent chooses state-dependent shares of aggregate marketable income (a sharing rule) to provide a partial hedge against the idiosyncratic risk. The agent's Utility function exhibits positive, decreasing absolute risk aversion and prudence. Then the higher the idiosyncratic risk, the more the agent purchases claims in states with low aggregate income and the less in states with high aggregate income. The sensitivity of the equilibrium to an increase in the idiosyncratic risk across all investors is analyzed. These results are made more specific by considering the special case of the Hyperbolic Absolute Risk Aversion (HARA) family of Utility functions. In this case, the precautionary premium can be defined more precisely and the sharing rules can be derived explicitly.

Suggested Citation

  • Franke, Günter & Stapleton, Richard C. & Subrahmanyam, Marti G., 1992. "Idiosyncratic risk, sharing rules, and the theory of risk bearing," Discussion Papers, Series II 181, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
    • Handle: RePEc:zbw:kondp2:181
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    References listed on IDEAS

    as
    1. Benninga, Simon & Blume, Marshall E, 1985. "On the Optimality of Portfolio Insurance," Journal of Finance, American Finance Association, vol. 40(5), pages 1341-1352, December.
    2. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    3. Brennan, M.J. & Solanki, R., 1981. "Optimal Portfolio Insurance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(3), pages 279-300, September.
    4. Leland, Hayne E, 1980. "Who Should Buy Portfolio Insurance?," Journal of Finance, American Finance Association, vol. 35(2), pages 581-594, May.
    5. Nachman, David C., 1982. "Preservation of "more risk averse" under expectations," Journal of Economic Theory, Elsevier, vol. 28(2), pages 361-368, December.
    6. Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-154, January.
    7. Ross, Stephen A, 1981. "Some Stronger Measures of Risk Aversion in the Small and the Large with Applications," Econometrica, Econometric Society, vol. 49(3), pages 621-638, May.
    8. Simon Benninga & Marshall Blume, "undated". "On the Optimality of Portfolio Insurance," Rodney L. White Center for Financial Research Working Papers 5-85, Wharton School Rodney L. White Center for Financial Research.
    9. Miles S. Kimball, 1990. "Precautionary Saving and the Marginal Propensity to Consume," NBER Working Papers 3403, National Bureau of Economic Research, Inc.
    10. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    11. Kihlstrom, Richard E & Romer, David & Williams, Steve, 1981. "Risk Aversion with Random Initial Wealth," Econometrica, Econometric Society, vol. 49(4), pages 911-920, June.
    12. Simon Benninga & Marshall Blume, "undated". "On the Optimality of Portfolio Insurance," Rodney L. White Center for Financial Research Working Papers 05-85, Wharton School Rodney L. White Center for Financial Research.
    Full references (including those not matched with items on IDEAS)

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