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Portfolio Optimization with Optimal Expected Utility Risk Measures

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Listed:
  • H. Fink
  • S. Geissel
  • J. Herbinger
  • F. T. Seifried

Abstract

The purpose of this article is to evaluate optimal expected utility risk measures (OEU) in a risk-constrained portfolio optimization context where the expected portfolio return is maximized. Wecompare the portfolio optimization with OEU constraint to a portfolio selection model using valueat risk as constraint. The former is a coherent risk measure for utility functions with constantrelative risk aversion and allows individual specifications to the investor’s risk attitude and timepreference. In a case study with three indices we investigate how these theoretical differences in-fluence the performance of the portfolio selection strategies. A copula approach with univariateARMA-GARCH models is used in a rolling forecast to simulate monthly future returns and cal-culate the derived measures for the optimization. The results of this study illustrate that bothoptimization strategies perform considerably better than an equally weighted portfolio and a buyand hold portfolio. Moreover, our results illustrate that portfolio optimization with OEU con-straint experiences individualized effects, e.g. less risk averse investors lose more portfolio value inthe financial crises but outperform their more risk averse counterparts in bull markets.

Suggested Citation

  • H. Fink & S. Geissel & J. Herbinger & F. T. Seifried, 2019. "Portfolio Optimization with Optimal Expected Utility Risk Measures," Working Paper Series 2019-07, University of Trier, Research Group Quantitative Finance and Risk Analysis.
  • Handle: RePEc:trr:qfrawp:201907
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    More about this item

    Keywords

    optimal expected utility; portfolio optimization; risk measures; value at risk;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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