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Stochastic Dominance and Optimal Portfolio

  • Dachraoui, K.
  • Dionne, G.

We analyze the effect of generalized first and second order stochastic dominance changes in a returns distribution on optimal financial portfolios with two risky and a risk free assets. We show that constant relative risk aversion plays an important role in explaining how the composition of the portfolios is affected. The results are interpreted in terms of two-fund separation.

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Paper provided by Ecole des Hautes Etudes Commerciales de Montreal-Chaire de gestion des risques. in its series Ecole des Hautes Etudes Commerciales de Montreal- with number 01-01.

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Length: 10 pages
Date of creation: 2001
Date of revision:
Handle: RePEc:fth:etcori:01-01
Contact details of provider: Postal: Canada; ECOLE DES HAUTES ETUDES COMMERCIALES(H.E.C.),3000, chemin de la Cote-Sainte-Catherine. Montreal (Quebec) Canada H3T 2A7.
Web page: http://www.hec.ca/Email:


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  1. Dionne, G. & Gollier, C., 1996. "A Model Of Comparative Statics For Changes in Stochastic Returns With Dependent Risky Assets," Papers 96.420, Toulouse - GREMAQ.
  2. Patrick L. Brockett & Linda L. Golden, 1987. "A Class of Utility Functions Containing all the Common Utility Functions," Management Science, INFORMS, vol. 33(8), pages 955-964, August.
  3. Ross, Stephen A, 1981. "Some Stronger Measures of Risk Aversion in the Small and the Large with Applications," Econometrica, Econometric Society, vol. 49(3), pages 621-38, May.
  4. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
  5. Caballe, Jordi & Pomansky, Alexey, 1996. "Mixed Risk Aversion," Journal of Economic Theory, Elsevier, vol. 71(2), pages 485-513, November.
  6. Eeckhoudt,L. & Gollier, C., 1997. "Changing in Risk and Risk Taking: A Survey," Papers 97.472, Toulouse - GREMAQ.
  7. Eeckhoudt, Louis & Gollier, Christian & Schlesinger, Harris, 1996. "Changes in Background Risk and Risk-Taking Behavior," Econometrica, Econometric Society, vol. 64(3), pages 683-89, May.
  8. K. Dachraoui & G. Dionne & L. Eeckhoudt & P. Godfroid, 1999. "Proper risk behavior," THEMA Working Papers 99-27, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    • Dachraoui, K. & Dionne, G. & Eeckhoudt, L. & Godfroid, P., 1999. "Proper Risk Behavior," Papers 99-27, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
  9. Dachraoui, K. & Eeeckhoudt, L. & Godfroid.P., 1999. "Proper Risk Behavior," Ecole des Hautes Etudes Commerciales de Montreal- 99-01, Ecole des Hautes Etudes Commerciales de Montreal-Chaire de gestion des risques..
  10. Meyer, Jack & Ormiston, Michael B, 1985. "Strong Increases in Risk and Their Comparative Statics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 425-37, June.
  11. Rothschild, Michael & Stiglitz, Joseph E., 1971. "Increasing risk II: Its economic consequences," Journal of Economic Theory, Elsevier, vol. 3(1), pages 66-84, March.
  12. Cass, David & Stiglitz, Joseph E., 1970. "The structure of investor preferences and asset returns, and separability in portfolio allocation: A contribution to the pure theory of mutual funds," Journal of Economic Theory, Elsevier, vol. 2(2), pages 122-160, June.
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