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Sharpe Ratio Maximization and Expected Utility when Asset Prices have Jumps

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Abstract

We analyze portfolio strategies which are locally optimal, meaning that they maximize the Sharpe ratio in a general continuous time jump-diffusion framework. These portfolios are characterized explicitly and compared to utility based strategies. In the presence of jumps, maximizing the Sharpe ratio is shown to be generally inconsistent with maximizing expected utility, but this is shown to depend strongly on market completeness and whether event risk is priced.

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  • Morten Christensen & Eckhard Platen, 2005. "Sharpe Ratio Maximization and Expected Utility when Asset Prices have Jumps," Research Paper Series 170, Quantitative Finance Research Centre, University of Technology, Sydney.
  • Handle: RePEc:uts:rpaper:170
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    9. Morten Christensen & Eckhard Platen, 2004. "A General Benchmark Model for Stochastic Jump Sizes," Research Paper Series 139, Quantitative Finance Research Centre, University of Technology, Sydney.
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    Cited by:

    1. Kasper Larsen & Tanawit Sae Sue, 2015. "Radner equilibrium in incomplete Levy models," Papers 1507.02974, arXiv.org, revised Jul 2015.
    2. Hayette Gatfaoui, 2010. "Deviation from normality and Sharpe ratio behavior: a brief simulation study," Post-Print hal-00568613, HAL.
    3. Andrea Rigamonti & Alex Weissensteiner, 2020. "Asset allocation under predictability and parameter uncertainty using LASSO," Computational Management Science, Springer, vol. 17(2), pages 179-201, June.

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