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The demand for a risky asset in the presence of a background risk

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  • Li, Jingyuan

Abstract

We examine the demand for a risky asset in the presence of two risks: a financial risk and a background risk which need not be financial. First, we compute the necessary and sufficient condition for a positive demand for a risky asset, showing that it depends on two terms capturing respectively the direct effect of risk premium and the dependence between the two risks. Second, we develop higher order expectation dependence concept and show that the more information about the sign of higher cross derivatives of the utility function we have, the weaker dependence conditions on distribution we achieve.

Suggested Citation

  • Li, Jingyuan, 2011. "The demand for a risky asset in the presence of a background risk," Journal of Economic Theory, Elsevier, vol. 146(1), pages 372-391, January.
  • Handle: RePEc:eee:jetheo:v:146:y:2011:i:1:p:372-391
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    References listed on IDEAS

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    1. Ilia Tsetlin & Robert L. Winkler, 2005. "Risky Choices and Correlated Background Risk," Management Science, INFORMS, vol. 51(9), pages 1336-1345, September.
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    5. Béatrice Rey, 2003. "A Note on Optimal Insurance in the presence of a Nonpecuniary Background Risk," Theory and Decision, Springer, vol. 54(1), pages 73-83, February.
    6. Caballe, Jordi & Pomansky, Alexey, 1996. "Mixed Risk Aversion," Journal of Economic Theory, Elsevier, vol. 71(2), pages 485-513, November.
    7. Ekern, Steinar, 1980. "Increasing Nth degree risk," Economics Letters, Elsevier, vol. 6(4), pages 329-333.
    8. Sandmo, Agnar, 1971. "On the Theory of the Competitive Firm under Price Uncertainty," American Economic Review, American Economic Association, vol. 61(1), pages 65-73, March.
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    10. Leigh Tesfatsion, 1976. "Stochastic Dominance and the Maximization of Expected Utility," Review of Economic Studies, Oxford University Press, vol. 43(2), pages 301-315.
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