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Asset Prices and Changes in Risk within a Bivariate Model

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Listed:
  • Octave Jokung

    (University of Valenciennes)

  • Sovan Mitra

    (University of Liverpool)

Abstract

This paper analyzes the effect on the price of the risky asset for both global and marginal changes, in dependent, independent, exogenous and endogenous risks. We find that global changes induce riskier behavior and decrease market prices when the utility function exhibits generalized relative risk aversions less than their benchmark values. Marginal changes in the endogenous risk decrease the market prices when all the coefficients of generalized relative risk aversion to the endogenous risk are less than their orders. Marginal changes in the exogenous risk decrease the price of the risky asset, when all the coefficients of generalized risk aversion to the exogenous risk are less than one. Positive dependence induces a decrease in the market price whereas negative dependence causes an increase in the same price. Furthermore, increasing the correlation between the two risks leads to the fall in the price of the risky asset, when the utility function of the representative investor exhibits pair-wise risk aversion. We recover the results concerning the univariate framework with additive background risk.

Suggested Citation

  • Octave Jokung & Sovan Mitra, 2019. "Asset Prices and Changes in Risk within a Bivariate Model," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 26(1), pages 47-60, March.
    • Handle: RePEc:kap:apfinm:v:26:y:2019:i:1:d:10.1007_s10690-018-9255-4
    DOI: 10.1007/s10690-018-9255-4
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    References listed on IDEAS

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    1. Louis Eeckhoudt & Liqun Liu & Jack Meyer, 2017. "Restricted increases in risk aversion and their application," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(1), pages 161-181, June.
    2. Christian Gollier (ed.), 2018. "The Economics of Risk and Uncertainty," Books, Edward Elgar Publishing, number 17427.
    3. Eeckhoudt, Louis & Etner, Johanna & Schroyen, Fred, 2009. "The values of relative risk aversion and prudence: A context-free interpretation," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 1-7, July.
    4. Peter C. Fishburn & R. Burr Porter, 1976. "Optimal Portfolios with One Safe and One Risky Asset: Effects of Changes in Rate of Return and Risk," Management Science, INFORMS, vol. 22(10), pages 1064-1073, June.
    5. Scott F. Richard, 1975. "Multivariate Risk Aversion, Utility Independence and Separable Utility Functions," Management Science, INFORMS, vol. 22(1), pages 12-21, September.
    6. Yusuke Osaki, 2005. "Dependent background risks and asset prices," Economics Bulletin, AccessEcon, vol. 4(8), pages 1-8.
    7. Edwards, Ryan D, 2008. "Health Risk and Portfolio Choice," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 472-485.
    8. Christian Gollier & Miles S. Kimball, 2018. "New methods in the classical economics of uncertainty: comparing risks," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 43(1), pages 5-23, May.
    9. Gollier, Christian & Schlesinger, Harris, 2002. "Changes in risk and asset prices," Journal of Monetary Economics, Elsevier, vol. 49(4), pages 747-760, May.
    10. Pang, Gaobo & Warshawsky, Mark, 2010. "Optimizing the equity-bond-annuity portfolio in retirement: The impact of uncertain health expenses," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 198-209, February.
    11. Scarsini, Marco, 1985. "Stochastic dominance with pair-wise risk aversion," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 187-201, April.
    12. Yusuke Osaki, 2005. "Dependent Background Risks and Asset Prices," Discussion Papers in Economics and Business 05-13, Osaka University, Graduate School of Economics.
    13. Iwaki, Hideki & Osaki, Yusuke, 2017. "Comparative statics and portfolio choices under the phantom decision model," Journal of Banking & Finance, Elsevier, vol. 84(C), pages 1-8.
    14. Cheng, Hsueh-Cheng & Magill, Michael J P & Shafer, Wayne J, 1987. "Some Results on Comparative Statics under Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(2), pages 493-507, June.
    15. repec:ebl:ecbull:v:4:y:2005:i:8:p:1-8 is not listed on IDEAS
    16. Meer, Jonathan & Miller, Douglas L. & Rosen, Harvey S., 2003. "Exploring the health-wealth nexus," Journal of Health Economics, Elsevier, vol. 22(5), pages 713-730, September.
    17. Larry G. Epstein & Stephen M. Tanny, 1980. "Increasing Generalized Correlation: A Definition and Some Economic Consequences," Canadian Journal of Economics, Canadian Economics Association, vol. 13(1), pages 16-34, February.
    18. Gollier Christian, 1995. "The Comparative Statics of Changes in Risk Revisited," Journal of Economic Theory, Elsevier, vol. 66(2), pages 522-535, August.
    19. Fan, Elliott & Zhao, Ruoyun, 2009. "Health status and portfolio choice: Causality or heterogeneity?," Journal of Banking & Finance, Elsevier, vol. 33(6), pages 1079-1088, June.
    20. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    21. Choi, Gyemyung & Kim, Iltae & Snow, Arthur, 2001. "Comparative Statics Predictions for Changes in Uncertainty in the Portfolio and Savings Problems," Bulletin of Economic Research, Wiley Blackwell, vol. 53(1), pages 61-72, January.
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