Portfolio selection with heavy tails
Consider the portfolio problem of choosing the mix between stocks and bonds under a downside risk constraint. Typically stock returns exhibit fatter tails than bonds corresponding to their greater downside risk. Downside risk criteria like the safety first criterion therefore often select corner solutions in the sense of a bonds only portfolio. This is due to a focus on the asymptotically dominating first order Pareto term of the portfolio return distribution. We show that if second order terms are taken into account, a balanced solution emerges. The theory is applied to empirical examples from the literature. This discussion paper has resulted in a publication in the Journal of Empirical Finance , 2007, 14(3).
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- Danielsson, J. & de Haan, L. & Peng, L. & de Vries, C. G., 2001.
"Using a Bootstrap Method to Choose the Sample Fraction in Tail Index Estimation,"
Journal of Multivariate Analysis,
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- J. Danielsson & L. de Haan & L. Peng & C.G. de Vries, 1997. "Using a Bootstrap Method to choose the Sample Fraction in Tail Index Estimation," Tinbergen Institute Discussion Papers 97-016/4, Tinbergen Institute.
- Daníelsson, J. & de Haan, L.F.M. & Peng, L. & de Vries, C.G., 2000. "Using a bootstrap method to choose the sample fraction in tail index estimation," Econometric Institute Research Papers EI 2000-19/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
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- P. Hartmann & S. Straetmans & C.G. de Vries, 2001. "Asset Market Linkages in Crisis Periods," Tinbergen Institute Discussion Papers 01-071/2, Tinbergen Institute.
- de Vries, Casper G & Hartmann, Philipp & Straetmans, Stefan, 2001. "Asset Market Linkages in Crisis Periods," CEPR Discussion Papers 2916, C.E.P.R. Discussion Papers.
- Philipp Hartman & Stefan Straetmans & Casper De Vries, 2001. "Asset market linkages in crisis periods," Proceedings 727, Federal Reserve Bank of Chicago.
- Hartmann, P. & Straetmans, S. & De Vries, C.G., 2001. "Asset Market Linkages in Crisis Periods," Papers 71, Quebec a Montreal - Recherche en gestion.
- Gourieroux, C. & Laurent, J. P. & Scaillet, O., 2000. "Sensitivity analysis of Values at Risk," Journal of Empirical Finance, Elsevier, vol. 7(3-4), pages 225-245, November.
- Gouriéroux, Christian & Laurent, J.P. & Scaillet, Olivier, 1999. "Sensitivity Analysis of Values at Risk," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2000002, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES), revised 00 Jan 2000.
- Christian Gourieroux & Jean-Paul Laurent & Olivier Scaillet, 2000. "Sensitivity Analysis of Values at Risk," Working Papers 2000-05, Center for Research in Economics and Statistics.
- Christian Gourieroux & J. P. Laurent & Olivier Scaillet, 2000. "Sensitivity Analysis of Values at Risk," Econometric Society World Congress 2000 Contributed Papers 0162, Econometric Society.
- C. Gourieroux & J.P. Laurent & O. Scaillet, 2000. "Sensitivity analysis of values at risk," THEMA Working Papers 2000-04, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Susmel, Raul, 2001. "Extreme observations and diversification in Latin American emerging equity markets," Journal of International Money and Finance, Elsevier, vol. 20(7), pages 971-986, December.
- Arzac, Enrique R. & Bawa, Vijay S., 1977. "Portfolio choice and equilibrium in capital markets with safety-first investors," Journal of Financial Economics, Elsevier, vol. 4(3), pages 277-288, May. Full references (including those not matched with items on IDEAS)
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