Sufficient conditions for expected utility to imply drawdown-based performance rankings
The least restrictive sufficient condition for expected utility to imply Sharpe ratio rankings is the location and scale (LS) property (see [Sinn, 1983] and [Meyer, 1987]). The normal, the extreme value, and many other distributions commonly used in finance satisfy this property. We argue that the LS property is also sufficient for expected utility to imply drawdown-based performance measure rankings, because for investment funds satisfying the LS condition, the Sharpe ratio and drawdown-based performance measures result in identical rankings. Hence, the same conditions that provide an expected utility foundation for the Sharpe ratio also provide a foundation for drawdown-based performance measures. We conclude that from a decision-theoretic perspective, drawdown-based performance measures are as good as the Sharpe ratio.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Darolles, Serge & Gourieroux, Christian, 2010. "Conditionally fitted Sharpe performance with an application to hedge fund rating," Journal of Banking & Finance, Elsevier, vol. 34(3), pages 578-593, March.
- Foort HAMELINK & Martin HOESLI, 2003.
"Maximum Drawdown and the Allocation to Real Estate,"
FAME Research Paper Series
rp87, International Center for Financial Asset Management and Engineering.
- Foort Hamelink & Martin Hoesli, 2004. "Maximum drawdown and the allocation to real estate," Journal of Property Research, Taylor & Francis Journals, vol. 21(1), pages 5-29, January.
- Filippo Petroni & Giulia Rotundo, 2007.
"Effectiveness of Measures of Performance During Speculative Bubbles,"
- Petroni, Filippo & Rotundo, Giulia, 2008. "Effectiveness of measures of performance during speculative bubbles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3942-3948.
- Alexander, Gordon J. & Baptista, Alexandre M., 2010. "Active portfolio management with benchmarking: A frontier based on alpha," Journal of Banking & Finance, Elsevier, vol. 34(9), pages 2185-2197, September.
- William Goetzmann & Jonathan Ingersoll & Matthew Spiegel & Ivo Welch, 2002.
"Portfolio Performance Manipulation and Manipulation-Proof Performance Measures,"
Yale School of Management Working Papers
amz2471, Yale School of Management, revised 01 Apr 2006.
- Jonathan Ingersoll & Ivo Welch, 2007. "Portfolio Performance Manipulation and Manipulation-proof Performance Measures," Review of Financial Studies, Society for Financial Studies, vol. 20(5), pages 1503-1546, 2007 17.
- Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
- Ferstl, Robert & Weissensteiner, Alex, 2009.
"Asset-Liability Management under time-varying Investment Opportunities,"
15068, University Library of Munich, Germany.
- Ferstl, Robert & Weissensteiner, Alex, 2011. "Asset-liability management under time-varying investment opportunities," Journal of Banking & Finance, Elsevier, vol. 35(1), pages 182-192, January.
- Fuertes, Ana-Maria & Miffre, Joëlle & Rallis, Georgios, 2010. "Tactical allocation in commodity futures markets: Combining momentum and term structure signals," Journal of Banking & Finance, Elsevier, vol. 34(10), pages 2530-2548, October.
- Harris, Richard D.F. & Yilmaz, Fatih, 2009. "A momentum trading strategy based on the low frequency component of the exchange rate," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1575-1585, September.
- Alexander, Gordon J. & Baptista, Alexandre M., 2006. "Portfolio selection with a drawdown constraint," Journal of Banking & Finance, Elsevier, vol. 30(11), pages 3171-3189, November.
- Szakmary, Andrew C. & Shen, Qian & Sharma, Subhash C., 2010. "Trend-following trading strategies in commodity futures: A re-examination," Journal of Banking & Finance, Elsevier, vol. 34(2), pages 409-426, February.
- Meyer, Jack, 1987. "Two-moment Decision Models and Expected Utility Maximization," American Economic Review, American Economic Association, vol. 77(3), pages 421-30, June.
- Eling, Martin & Schuhmacher, Frank, 2007. "Does the choice of performance measure influence the evaluation of hedge funds?," Journal of Banking & Finance, Elsevier, vol. 31(9), pages 2632-2647, September.
- Kevin Fergusson & Eckhard Platen, 2006. "On the Distributional Characterization of Daily Log-Returns of a World Stock Index," Applied Mathematical Finance, Taylor & Francis Journals, vol. 13(1), pages 19-38.
- Dacorogna, Michel M. & Gençay, Ramazan & Müller, Ulrich A. & Pictet, Olivier V., 2001. "Effective return, risk aversion and drawdowns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 289(1), pages 229-248.
- Alexei Chekhlov & Stanislav Uryasev & Michael Zabarankin, 2005. "Drawdown Measure In Portfolio Optimization," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 13-58.
- Eling, Martin & Faust, Roger, 2010. "The performance of hedge funds and mutual funds in emerging markets," Journal of Banking & Finance, Elsevier, vol. 34(8), pages 1993-2009, August.
- Stefan Kassberger & Rüdiger Kiesel, 2006. "A fully parametric approach to return modelling and risk management of hedge funds," Financial Markets and Portfolio Management, Springer, vol. 20(4), pages 472-491, December.
- Ding, Bill & Shawky, Hany A. & Tian, Jianbo, 2009. "Liquidity shocks, size and the relative performance of hedge fund strategies," Journal of Banking & Finance, Elsevier, vol. 33(5), pages 883-891, May.
- Sanford J. Grossman & Zhongquan Zhou, 1993. "Optimal Investment Strategies For Controlling Drawdowns," Mathematical Finance, Wiley Blackwell, vol. 3(3), pages 241-276.
- Serban, Alina F., 2010. "Combining mean reversion and momentum trading strategies in foreign exchange markets," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2720-2727, November.
- Adam Tashman & Robert Frey, 2009. "Modeling risk in arbitrage strategies using finite mixtures," Quantitative Finance, Taylor & Francis Journals, vol. 9(5), pages 495-503.
- Farinelli, Simone & Ferreira, Manuel & Rossello, Damiano & Thoeny, Markus & Tibiletti, Luisa, 2008. "Beyond Sharpe ratio: Optimal asset allocation using different performance ratios," Journal of Banking & Finance, Elsevier, vol. 32(10), pages 2057-2063, October.
When requesting a correction, please mention this item's handle: RePEc:eee:jbfina:v:35:y:2011:i:9:p:2311-2318. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei)
If references are entirely missing, you can add them using this form.