Portfolio selection and duality under mean variance preferences
This 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.
If 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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
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.:
- 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.
- Levy, Haim, 1994. "Absolute and Relative Risk Aversion: An Experimental Study," Journal of Risk and Uncertainty, Springer, vol. 8(3), pages 289-307, May.
- Levy, Haim, 1973. "The Demand for Assets Under Conditions of Risk," Journal of Finance, American Finance Association, vol. 28(1), pages 79-96, March.
- 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.
- 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.
- 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.
- 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.
- 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.
- Guiso, Luigi & Jappelli, Tullio & Terlizzese, Daniele, 1994.
"Income Risk, Borrowing Constraints and Portfolio Choice,"
CEPR Discussion Papers
888, C.E.P.R. Discussion Papers.
- 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.
- Ormiston, Michael B & Schlee, Edward E, 2001. "Mean-Variance Preferences and Investor Behaviour," Economic Journal, Royal Economic Society, vol. 111(474), pages 849-61, October.
- 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.
- 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.
- Thomas Eichner, 2008. "Mean Variance Vulnerability," Management Science, INFORMS, vol. 54(3), pages 586-593, March.
- 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.
- Dalal, Ardeshir J, 1983. "Comparative Statics and Asset Substitutability-Complementarity in a Portfolio Model: A Dual Approach," Review of Economic Studies, Wiley Blackwell, vol. 50(2), pages 355-67, April.
- Meyer, Jack, 1987. "Two-moment Decision Models and Expected Utility Maximization," American Economic Review, American Economic Association, vol. 77(3), pages 421-30, June.
- 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.
- 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.
When requesting a correction, please mention this item's handle: RePEc:eee:insuma:v:48:y:2011:i:1:p:146-152. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.