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Performance Measurement with Loss Aversion

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  • Gemmill, Gordon T
  • Hwang, Soosung
  • Salmon, Mark

Abstract

We examine a simple measure of portfolio performance based on prospect theory, which captures not only risk and return but also reflects differential aversion to upside and downside risk. The measure we propose is a ratio of gains to losses, with the gains and losses weighted (if desired) to reflect risk-aversion for gains and risk-seeking for losses. It can also be interpreted as the weighted ratio of the value of a call option to a put option, with the benchmark as the exercise price. When applying the loss-aversion performance measure to closed-end funds, we find that it gives significantly different rankings from those of conventional measures (such as the Sharpe ratio, Jensen's alpha, the Sortino ratio, and the Higher Moment measure), and gives the expected signs for the odd and even moments of tracking errors. However, loss-aversion performance is not more closely related to discounts on funds than are the conventional performance measures, so we have not found evidence that loss-aversion attracts investors to particular funds in the short-term.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 5173.

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Date of creation: Aug 2005
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Handle: RePEc:cpr:ceprdp:5173

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Keywords: closed-end-fund puzzle; loss aversion; performance measurement; prospect theory;

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  1. J.B. Chay & Charles Trzcinka, 1997. "Managerial Performance and the Cross-Sectional Pricing of Closed-End Funds," New York University, Leonard N. Stern School Finance Department Working Paper Seires 96-20, New York University, Leonard N. Stern School of Business-.
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  23. William F. Sharpe, 1965. "Mutual Fund Performance," The Journal of Business, University of Chicago Press, vol. 39, pages 119.
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