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The Problem of Optimal Asset Allocation with Stable Distributed Returns

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Author Info
Sergio Ortobelli (University of Calabria, Italy)
Svetlozar Rachev (University of Karlsruhe, Germany and University of California at Santa Barbara)
Eduardo Schwartz (Anderson School of Management)
Abstract

This paper discusses two optimal allocation problems. We consider different hypotheses of portfolio selection with stable distributed returns for each of them. In particular, we study the optimal allocation between a riskless return and risky stable distributed returns. Furthermore, we examine and compare the optimal allocation obtained with the Gaussian and the stable non-Gaussian distributional assumption for the risky return. KEY WORDS: optimal allocation, stochastic dominance, risk aversion, measure of risk, a stable distribution, domain of attraction, sub-Gaussian stable distributed, fund separation, normal distribution, mean variance analysis, safety-first analysis.

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Paper provided by Anderson Graduate School of Management, UCLA in its series University of California at Los Angeles, Anderson Graduate School of Management with number 1066.

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Date of creation: 01 Jan 2000
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Handle: RePEc:cdl:anderf:1066

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  1. Huberman, Gur, 1982. "A simple approach to arbitrage pricing theory," Journal of Economic Theory, Elsevier, vol. 28(1), pages 183-191, October. [Downloadable!] (restricted)
  2. Bawa, Vijay S., 1975. "Optimal rules for ordering uncertain prospects," Journal of Financial Economics, Elsevier, vol. 2(1), pages 95-121, March. [Downloadable!] (restricted)
  3. Hanoch, G & Levy, Haim, 1969. "The Efficiency Analysis of Choices Involving Risk," Review of Economic Studies, Blackwell Publishing, vol. 36(107), pages 335-46, July. [Downloadable!] (restricted)
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  5. Chen, Nai-fu & Ingersoll, Jonathan E, Jr, 1983. " Exact Pricing in Linear Factor Models with Finitely Many Assets: A Note," Journal of Finance, American Finance Association, vol. 38(3), pages 985-88, June. [Downloadable!] (restricted)
  6. Dybvig, Philip H., 1983. "An explicit bound on individual assets' deviations from APT pricing in a finite economy," Journal of Financial Economics, Elsevier, vol. 12(4), pages 483-496, December. [Downloadable!] (restricted)
  7. Bawa, Vijay S, 1976. "Admissible Portfolios for All Individuals," Journal of Finance, American Finance Association, vol. 31(4), pages 1169-83, September. [Downloadable!] (restricted)
  8. Chamberlain, Gary, 1983. "A characterization of the distributions that imply mean--Variance utility functions," Journal of Economic Theory, Elsevier, vol. 29(1), pages 185-201, February. [Downloadable!] (restricted)
  9. Bawa, Vijay S., 1978. "Safety-First, Stochastic Dominance, and Optimal Portfolio Choice," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(02), pages 255-271, June. [Downloadable!]
  10. Dybvig, Philip H, 1985. " Acknowledgment: Kinks on the Mean-Variance Frontier," Journal of Finance, American Finance Association, vol. 40(1), pages 345, March.
  11. Milne, Frank, 1988. "Arbitrage and Diversification in a General Equilibrium Asset Economy," Econometrica, Econometric Society, vol. 56(4), pages 815-40, July. [Downloadable!] (restricted)
  12. Ross, Stephen A., 1976. "The arbitrage theory of capital asset pricing," Journal of Economic Theory, Elsevier, vol. 13(3), pages 341-360, December. [Downloadable!] (restricted)
  13. 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. [Downloadable!] (restricted)
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  1. Sergio Ortobelli Lozza, 2001. "The classification of parametric choices under uncertainty: analysis of the portfolio choice problem," Theory and Decision, Springer, vol. 51(2), pages 297-328, December. [Downloadable!] (restricted)
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