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Forward-looking robust portfolio selection

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Author Info

  • Sara Cecchetti

    ()
    (Bank of Italy)

  • Laura Sigalotti

    ()
    (Bank of Italy)

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    Abstract

    In this paper we develop a portfolio optimization strategy based on the extraction of option-implied distributions and the application of robust asset allocation. We compute the option-implied probability density functions of the constituents of the Euro Stoxx 50 Index. To obtain the corresponding risk-adjusted densities, we estimate the risk aversion coefficient through a Berkowitz likelihood test. The correlation structure among the stocks is computed via an ad hoc technique, which provides a correction term for the historical correlations. We implement a robust portfolio construction, in order to incorporate the uncertainty about the estimation error for the expected returns in the optimization procedure.

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    File URL: http://www.bancaditalia.it/pubblicazioni/econo/temidi/td13/td913_13/en_td913/en_tema_913.pdf
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    Bibliographic Info

    Paper provided by Bank of Italy, Economic Research and International Relations Area in its series Temi di discussione (Economic working papers) with number 913.

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    Date of creation: Jun 2013
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    Handle: RePEc:bdi:wptemi:td_913_13

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    Web page: http://www.bancaditalia.it
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    Related research

    Keywords: portfolio allocation; robust optimization; implied correlation; stock options;

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    1. Engle, Robert, 2002. "Dynamic Conditional Correlation: A Simple Class of Multivariate Generalized Autoregressive Conditional Heteroskedasticity Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(3), pages 339-50, July.
    2. Mills,Terence C. & Markellos,Raphael N., 2008. "The Econometric Modelling of Financial Time Series," Cambridge Books, Cambridge University Press, number 9780521710091, November.
    3. Robert R. Bliss & Nikolaos Panigirtzoglou, 2004. "Option-Implied Risk Aversion Estimates," Journal of Finance, American Finance Association, vol. 59(1), pages 407-446, 02.
    4. Yacine Ait-Sahalia & Andrew W. Lo, 2000. "Nonparametric Risk Management and Implied Risk Aversion," NBER Working Papers 6130, National Bureau of Economic Research, Inc.
    5. 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.
    6. Adrian Buss & Grigory Vilkov, 2012. "Measuring Equity Risk with Option-implied Correlations," Review of Financial Studies, Society for Financial Studies, vol. 25(10), pages 3113-3140.
    7. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
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