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Effects of background risks on cautiousness with an application to a portfolio choice problem

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  • Hara, Chiaki
  • Huang, James
  • Kuzmics, Christoph

Abstract

We provide necessary and sufficient conditions on an individual's expected utility function under which any zero-mean idiosyncratic risk increases cautiousness (the derivative of the reciprocal of the absolute risk aversion), which is the key determinant for this individual's demand for options and portfolio insurance.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 146 (2011)
Issue (Month): 1 (January)
Pages: 346-358

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Handle: RePEc:eee:jetheo:v:146:y:2011:i:1:p:346-358

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Web page: http://www.elsevier.com/locate/inca/622869

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Keywords: Risk aversion Risk tolerance Cautiousness Portfolio insurance Idiosyncratic risks Background risks Incomplete markets;

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References

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  1. Franke, Gunter & Stapleton, Richard C. & Subrahmanyam, Marti G., 1998. "Who Buys and Who Sells Options: The Role of Options in an Economy with Background Risk," Journal of Economic Theory, Elsevier, vol. 82(1), pages 89-109, September.
  2. Hara, C. & Christoph Kuzmics, 2004. "Representative Consumer's Risk Aversion and Efficient Risk-Sharing Rules," Cambridge Working Papers in Economics 0452, Faculty of Economics, University of Cambridge.
  3. Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-23, September.
  4. Brennan, M.J. & Solanki, R., 1981. "Optimal Portfolio Insurance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(03), pages 279-300, September.
  5. Miles S. Kimball, 1991. "Precautionary Motives for Holding Assets," NBER Working Papers 3586, National Bureau of Economic Research, Inc.
  6. Miles S. Kimball, 1989. "Precautionary Saving in the Small and in the Large," NBER Working Papers 2848, National Bureau of Economic Research, Inc.
  7. Hayne E. Leland., 1979. "Who Should Buy Portfolio Insurance?," Research Program in Finance Working Papers 95, University of California at Berkeley.
  8. Kihlstrom, Richard E & Romer, David & Williams, Steve, 1981. "Risk Aversion with Random Initial Wealth," Econometrica, Econometric Society, vol. 49(4), pages 911-20, June.
  9. Marti G. Subrahmanyam & G√ľnter Franke & Richard C. Stapleton, 1998. "Who Buys and Who Sells Options: The Role and Pricing of Options in an Economy with Background Risk," New York University, Leonard N. Stern School Finance Department Working Paper Seires 98-063, New York University, Leonard N. Stern School of Business-.
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Cited by:
  1. Huang, Hung-Hsi & Wang, Ching-Ping, 2013. "Portfolio selection and portfolio frontier with background risk," The North American Journal of Economics and Finance, Elsevier, vol. 26(C), pages 177-196.
  2. Guo, Xu & Wong, Wing-Keung & Zhu, Lixing, 2013. "An analysis of portfolio selection with multiplicative background risk," MPRA Paper 51331, University Library of Munich, Germany.

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