Structured portfolio analysis under SharpeOmega ratio
This paper deals with performance measurement of financial structured products. For this purpose, we introduce the SharpeOmega ratio, based on put as downside risk measure. This allows to take account of the asymmetry of the return probability distribution. We provide general results about the optimization of some standard structured portfolios with respect to the SharpeOmega ratio. We determine in particular the optimal combination of risk free, stock and call/put instruments with respect to this performance measure. We show that, contrary to Sharpe ratio maximization (Goetzmann et al., 2002), the payoff of the optimal structured portfolio is not necessarily increasing and concave. We also discuss about the interest of the asset management industry to reward high Sharpe Omega ratios.
|Date of creation:||Jan 2012|
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- Marie Pfiffelmann, 2006. "Which Optimal Design For LLDAs?," Working Papers of LaRGE Research Center 2006-06, Laboratoire de Recherche en Gestion et Economie (LaRGE), Université de Strasbourg.
- Hayne E. Leland., 1979.
"Who Should Buy Portfolio Insurance?,"
Research Program in Finance Working Papers
95, University of California at Berkeley.
- Kahneman, Daniel & Tversky, Amos, 1979.
"Prospect Theory: An Analysis of Decision under Risk,"
Econometric Society, vol. 47(2), pages 263-91, March.
- Amos Tversky & Daniel Kahneman, 1979. "Prospect Theory: An Analysis of Decision under Risk," Levine's Working Paper Archive 7656, David K. Levine.
- Peter Wakker & Daniel Deneffe, 1996. "Eliciting von Neumann-Morgenstern Utilities When Probabilities Are Distorted or Unknown," Management Science, INFORMS, vol. 42(8), pages 1131-1150, August.
- Machina, Mark J, 1982.
""Expected Utility" Analysis without the Independence Axiom,"
Econometric Society, vol. 50(2), pages 277-323, March.
- Mark J Machina, 1982. ""Expected Utility" Analysis without the Independence Axiom," Levine's Working Paper Archive 7650, David K. Levine.
- Harrison Hong & Jeremy C. Stein, 1997.
"A Unified Theory of Underreaction, Momentum Trading and Overreaction in Asset Markets,"
NBER Working Papers
6324, National Bureau of Economic Research, Inc.
- Harrison Hong & Jeremy C. Stein, 1999. "A Unified Theory of Underreaction, Momentum Trading, and Overreaction in Asset Markets," Journal of Finance, American Finance Association, vol. 54(6), pages 2143-2184, December.
- Hanqing Jin & Xun Yu Zhou, 2008. "Behavioral Portfolio Selection In Continuous Time," Mathematical Finance, Wiley Blackwell, vol. 18(3), pages 385-426.
- Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
- 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.
- Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
- Black, Fischer & Perold, AndreF., 1992. "Theory of constant proportion portfolio insurance," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 403-426.
- Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
- P. Carr & D. Madan, 2001. "Optimal positioning in derivative securities," Quantitative Finance, Taylor & Francis Journals, vol. 1(1), pages 19-37.
- Dybvig, Philip H & Ingersoll, Jonathan E, Jr, 1982. "Mean-Variance Theory in Complete Markets," The Journal of Business, University of Chicago Press, vol. 55(2), pages 233-51, April.
- Hentati Rania & Prigent Jean-Luc, 2011. "On the maximization of financial performance measures within mixture models," Statistics & Risk Modeling, De Gruyter, vol. 28(1), pages 63-80, March.
- Bertrand, P. & lesne, J.-P. & Prigent, J.-L., 2000. "Gestion de portefeuille avec garantie: l'allocation optimale en actifs derives," G.R.E.Q.A.M. 00a03, Universite Aix-Marseille III.
- Bertrand, Philippe & Prigent, Jean-luc, 2011. "Omega performance measure and portfolio insurance," Journal of Banking & Finance, Elsevier, vol. 35(7), pages 1811-1823, July.
- Stoimenov, Pavel A. & Wilkens, Sascha, 2005. "Are structured products 'fairly' priced? An analysis of the German market for equity-linked instruments," Journal of Banking & Finance, Elsevier, vol. 29(12), pages 2971-2993, December.
- Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
- El Karoui, Nicole & Jeanblanc, Monique & Lacoste, Vincent, 2005. "Optimal portfolio management with American capital guarantee," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 449-468, March.
- Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," The Journal of Business, University of Chicago Press, vol. 51(4), pages 621-51, October.
- Camerer, Colin F, 1989. " An Experimental Test of Several Generalized Utility Theories," Journal of Risk and Uncertainty, Springer, vol. 2(1), pages 61-104, April.
- Joost Driessen & Pascal Maenhout, 2007. "An Empirical Portfolio Perspective on Option Pricing Anomalies," Review of Finance, European Finance Association, vol. 11(4), pages 561-603.
- Tversky, Amos & Kahneman, Daniel, 1986. "Rational Choice and the Framing of Decisions," The Journal of Business, University of Chicago Press, vol. 59(4), pages S251-78, October.
- De Giorgi, Enrico, 2005.
"Reward-risk portfolio selection and stochastic dominance,"
Journal of Banking & Finance,
Elsevier, vol. 29(4), pages 895-926, April.
- Enrico De Giorgi, . "Reward-Risk Portfolio Selection and Stochastic Dominance," IEW - Working Papers 121, Institute for Empirical Research in Economics - University of Zurich.
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