Portfolio selection and duality under mean variance preferences
AbstractThis paper uses duality to analyze an investor's behavior in a n-asset portfolio selection problem when the investor has mean variance preferences. The indirect utility and wealth requirement functions are used to derive Roy's identity, Shephard's lemma and the Slutsky equation. In our simple Slutsky equation the income effect is characterized by decreasing absolute risk aversion (DARA) and the substitution effect is always positive [negative] with respect to an asset's holding if the asset's mean return [risk] increases. Substitution effect and income effect work in the same direction presupposed mean variance preferences display DARA.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoArticle provided by Elsevier in its journal Insurance: Mathematics and Economics.
Volume (Year): 48 (2011)
Issue (Month): 1 (January)
Contact details of provider:
Web page: http://www.elsevier.com/locate/inca/505554
Mean Variance Slutsky equation Substitution effect;
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Thomas Eichner, 2008. "Mean Variance Vulnerability," Management Science, INFORMS, vol. 54(3), pages 586-593, March.
- William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, 09.
- Guiso, Luigi & Jappelli, Tullio & Terlizzese, Daniele, 1996.
"Income Risk, Borrowing Constraints, and Portfolio Choice,"
American Economic Review,
American Economic Association, vol. 86(1), pages 158-72, March.
- Guiso, Luigi & Jappelli, Tullio & Terlizzese, Daniele, 1994. "Income Risk, Borrowing Constraints and Portfolio Choice," CEPR Discussion Papers 888, C.E.P.R. Discussion Papers.
- Aivazian, Varouj, 1977. "The Demand for Assets under Conditions of Risk: Comment," Journal of Finance, American Finance Association, vol. 32(3), pages 927-29, June.
- Sandmo, Agnar, 1977. "Portfolio Theory, Asset Demand and Taxation: Comparative Statics with Many Assets," Review of Economic Studies, Wiley Blackwell, vol. 44(2), pages 369-79, June.
- Lajeri-Chaherli, Fatma, 2003. "Partial derivatives, comparative risk behavior and concavity of utility functions," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 81-99, August.
- Meyer, Jack & Ormiston, Michael B, 1994. "The Effect on Optimal Portfolios of Changing the Return to a Risky Asset: The Case of Dependent Risky Returns," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(3), pages 603-12, August.
- Chavas, Jean-Paul & Holt, Matthew T, 1996. "Economic Behavior under Uncertainty: A Joint Analysis of Risk Preferences and Technology," The Review of Economics and Statistics, MIT Press, vol. 78(2), pages 329-35, May.
- Lars Tyge Nielsen & Fatma Lajeri, 2000.
"Parametric characterizations of risk aversion and prudence,"
Springer, vol. 15(2), pages 469-476.
- Lajeri, Fatma & Nielsen, Lars Tyge, 1997. "Parametric Characterizations of Risk Aversion and Prudence," CEPR Discussion Papers 1650, C.E.P.R. Discussion Papers.
- Carmen F. Menezes & X. Henry Wang, 2005. "Duality, income and substitution effects for the competitive firm under price uncertainty," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 26(4), pages 249-257.
- Carmen F. Menezes & X. Henry Wang, 2006. "Optimal Decisions With Linear Random Payoff," Manchester School, University of Manchester, vol. 74(3), pages 251-265, 06.
- Levy, Haim, 1994. "Absolute and Relative Risk Aversion: An Experimental Study," Journal of Risk and Uncertainty, Springer, vol. 8(3), pages 289-307, May.
- Owen, Joel & Rabinovitch, Ramon, 1983. " On the Class of Elliptical Distributions and Their Applications to the Theory of Portfolio Choice," Journal of Finance, American Finance Association, vol. 38(3), pages 745-52, June.
- Carmen F. Menezes & X. Henry Wang, 2005. "Duality and the Slutsky income and substitution effects of increases in wage rate uncertainty," Oxford Economic Papers, Oxford University Press, vol. 57(3), pages 545-557, July.
- Hadar, Josef & Seo, Tae Kun, 1990. "The Effects of Shifts in a Return Distribution on Optimal Portfolios," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(3), pages 721-36, August.
- Menezes, Carmen F. & Henry Wang, X. & Bigelow, John P., 2005. "Duality and consumption decisions under income and price risk," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 387-405, April.
- Mitchell, Douglas W & Douglas, Stratford M, 1997. "Portfolio Response to a Shift in a Return Distribution: The Case of n-Dependent Assets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(4), pages 945-50, November.
- Levy, Haim, 1973. "The Demand for Assets Under Conditions of Risk," Journal of Finance, American Finance Association, vol. 28(1), pages 79-96, March.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wendy Shamier).
If references are entirely missing, you can add them using this form.