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Risky Choices and Correlated Background Risk

Author

Listed:
  • Ilia Tsetlin

    (INSEAD, 1 Ayer Rajah Avenue, Singapore 138676)

  • Robert L. Winkler

    (Fuqua School of Business, Duke University, Durham, North Carolina 27708-0120)

Abstract

The analysis of a risky project should take into account not only uncertainties about the return from that project ("project risk"), but also uncertainties associated with other ongoing projects and with exogenous factors that can impact final wealth ("background risk"). The presence of background risk can change the optimal course of action with respect to a project, and ignoring such risk might lead to a poor decision. Most work on background risk assumes that project risk and background risk are independent and are additive in their impact on wealth. However, independence is often unrealistic, and background risk operates in a multiplicative manner in many situations. We relax the independence assumption and consider a model with both additive and multiplicative background risk. The optimal decisions in the correlated setting can be very different than those that would appear optimal if the correlation were ignored. The impact of correlation differs in the additive and multiplicative cases, with positive correlation being beneficial in some cases and negative correlation in others. The analytical and numerical results indicate that in analyzing decision-making problems, it is very important to understand the direction and degree of dependence between project risk and background risks.

Suggested Citation

  • Ilia Tsetlin & Robert L. Winkler, 2005. "Risky Choices and Correlated Background Risk," Management Science, INFORMS, vol. 51(9), pages 1336-1345, September.
    • Handle: RePEc:inm:ormnsc:v:51:y:2005:i:9:p:1336-1345
    DOI: 10.1287/mnsc.1050.0414
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    References listed on IDEAS

    as
    1. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    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. Eeckhoudt, Louis & Gollier, Christian, 2001. "Are Independent Optimal Risks Substitutes?," IDEI Working Papers 128, Institut d'Économie Industrielle (IDEI), Toulouse.
    4. Menezes, C F & Hanson, D L, 1970. "On the Theory of Risk Aversion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 11(3), pages 481-487, October.
    5. Zeckhauser, Richard & Keeler, Emmett, 1970. "Another Type of Risk Aversion," Econometrica, Econometric Society, vol. 38(5), pages 661-665, September.
    6. Nachman, David C., 1982. "Preservation of "more risk averse" under expectations," Journal of Economic Theory, Elsevier, vol. 28(2), pages 361-368, December.
    7. Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-154, January.
    8. Robert T. Clemen & Gregory W. Fischer & Robert L. Winkler, 2000. "Assessing Dependence: Some Experimental Results," Management Science, INFORMS, vol. 46(8), pages 1100-1115, August.
    9. Pratt, John W, 1988. "Aversion to One Risk in the Presence of Others," Journal of Risk and Uncertainty, Springer, vol. 1(4), pages 395-413, December.
    10. David E. Bell, 1988. "One-Switch Utility Functions and a Measure of Risk," Management Science, INFORMS, vol. 34(12), pages 1416-1424, December.
    11. Ross, Stephen A., 1999. "Adding Risks: Samuelson's Fallacy of Large Numbers Revisited," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(3), pages 323-339, September.
    12. David E. Bell, 1995. "A Contextual Uncertainty Condition for Behavior Under Risk," Management Science, INFORMS, vol. 41(7), pages 1145-1150, July.
    13. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
    14. Ronald A. Howard, 1988. "Decision Analysis: Practice and Promise," Management Science, INFORMS, vol. 34(6), pages 679-695, June.
    15. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    16. 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.
    17. Jia He & Lilian K. Ng, 1998. "The Foreign Exchange Exposure of Japanese Multinational Corporations," Journal of Finance, American Finance Association, vol. 53(2), pages 733-753, April.
    18. Kihlstrom, Richard E & Romer, David & Williams, Steve, 1981. "Risk Aversion with Random Initial Wealth," Econometrica, Econometric Society, vol. 49(4), pages 911-920, June.
    19. Robert T. Clemen & Terence Reilly, 1999. "Correlations and Copulas for Decision and Risk Analysis," Management Science, INFORMS, vol. 45(2), pages 208-224, February.
    20. Allayannis, George & Ihrig, Jane, 2001. "Exposure and Markups," Review of Financial Studies, Society for Financial Studies, vol. 14(3), pages 805-835.
    21. Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-1123, September.
    22. 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.
    23. Robert R. Bliss & Nikolaos Panigirtzoglou, 2004. "Option-Implied Risk Aversion Estimates," Journal of Finance, American Finance Association, vol. 59(1), pages 407-446, February.
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