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Implications of the Sharpe ratio as a performance measure in multi-period settings

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  • Cvitanic, Jaksa
  • Lazrak, Ali
  • Wang, Tan

Abstract

We study effects of using Sharpe ratio as a performance measure for compensating money managers in a dynamic market. We demonstrate that the manager's focus on the short horizon is detrimental to the long-horizon investor. When the returns are iid, the performance loss is significant, even when horizons are not very different. When the returns are mean reverting, the performance loss is exacerbated. We show that the manager's strategy tends to increase (decrease) the risk in the latter part of the optimization period after a bad (good) performance in the earlier part of the period, in agreement with empirical observations.

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  • Cvitanic, Jaksa & Lazrak, Ali & Wang, Tan, 2008. "Implications of the Sharpe ratio as a performance measure in multi-period settings," Journal of Economic Dynamics and Control, Elsevier, vol. 32(5), pages 1622-1649, May.
    • Handle: RePEc:eee:dyncon:v:32:y:2008:i:5:p:1622-1649
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    1. John Y. Campbell & Luis M. Viceira, 1999. "Consumption and Portfolio Decisions when Expected Returns are Time Varying," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(2), pages 433-495.
    2. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    3. Wachter, Jessica A., 2002. "Portfolio and Consumption Decisions under Mean-Reverting Returns: An Exact Solution for Complete Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(1), pages 63-91, March.
    4. Ippolito, Richard A, 1992. "Consumer Reaction to Measures of Poor Quality: Evidence from the Mutual Fund Industry," Journal of Law and Economics, University of Chicago Press, vol. 35(1), pages 45-70, April.
    5. Jennifer Lynch Koski & Jeffrey Pontiff, 1999. "How Are Derivatives Used? Evidence from the Mutual Fund Industry," Journal of Finance, American Finance Association, vol. 54(2), pages 791-816, April.
    6. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    7. William N. Goetzmann & Nadav Peles, 1997. "Cognitive Dissonance And Mutual Fund Investors," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 20(2), pages 145-158, June.
    8. Duan Li & Wan‐Lung Ng, 2000. "Optimal Dynamic Portfolio Selection: Multiperiod Mean‐Variance Formulation," Mathematical Finance, Wiley Blackwell, vol. 10(3), pages 387-406, July.
    9. Chevalier, Judith & Ellison, Glenn, 1997. "Risk Taking by Mutual Funds as a Response to Incentives," Journal of Political Economy, University of Chicago Press, vol. 105(6), pages 1167-1200, December.
    10. William N. Goetzmann & Jonathan E. Ingersoll, Jr. & Matthew I. Spiegel & Ivo Welch, 2002. "Sharpening Sharpe Ratios," Yale School of Management Working Papers ysm29, Yale School of Management.
    11. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    12. Hui Ou-Yang, 2005. "An Equilibrium Model of Asset Pricing and Moral Hazard," The Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1253-1303.
    13. Cadenillas, Abel & Cvitanic, Jaksa & Zapatero, Fernando, 2004. "Leverage decision and manager compensation with choice of effort and volatility," Journal of Financial Economics, Elsevier, vol. 73(1), pages 71-92, July.
    14. Erik R. Sirri & Peter Tufano, 1998. "Costly Search and Mutual Fund Flows," Journal of Finance, American Finance Association, vol. 53(5), pages 1589-1622, October.
    15. Judith Chevalier & Glenn Ellison, 1999. "Career Concerns of Mutual Fund Managers," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(2), pages 389-432.
    16. Jonathan B. Berk & Richard C. Green, 2004. "Mutual Fund Flows and Performance in Rational Markets," Journal of Political Economy, University of Chicago Press, vol. 112(6), pages 1269-1295, December.
    17. Busse, Jeffrey A., 2001. "Another Look at Mutual Fund Tournaments," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 36(1), pages 53-73, March.
    18. M. K. Berkowitz & Y. Kotowitz, 1993. "Incentives and Efficiency in the Market for Management Services: A Study of Canadian Mutual Funds," Canadian Journal of Economics, Canadian Economics Association, vol. 26(4), pages 850-866, November.
    19. Isabelle Bajeux-Besnainou & Roland Portait, 1998. "Dynamic Asset Allocation in a Mean-Variance Framework," Management Science, INFORMS, vol. 44(11-Part-2), pages 79-95, November.
    20. Jiaping Qiu, 2003. "Termination Risk, Multiple Managers and Mutual Fund Tournaments," Review of Finance, European Finance Association, vol. 7(2), pages 161-190.
    21. Brown, Keith C & Harlow, W V & Starks, Laura T, 1996. "Of Tournaments and Temptations: An Analysis of Managerial Incentives in the Mutual Fund Industry," Journal of Finance, American Finance Association, vol. 51(1), pages 85-110, March.
    22. Antonio E. Bernardo & Olivier Ledoit, 2000. "Gain, Loss, and Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 144-172, February.
    23. Hui Ou-Yang, 2003. "Optimal Contracts in a Continuous-Time Delegated Portfolio Management Problem," The Review of Financial Studies, Society for Financial Studies, vol. 16(1), pages 173-208.
    24. Nicholas Barberis, 2000. "Investing for the Long Run when Returns Are Predictable," Journal of Finance, American Finance Association, vol. 55(1), pages 225-264, February.
    25. Berkowitz, Michael K. & Kotowitz, Yehuda, 2000. "Investor risk evaluation in the determination of management incentives in the mutual fund industry," Journal of Financial Markets, Elsevier, vol. 3(4), pages 365-387, November.
    26. Tomasz R. Bielecki & Hanqing Jin & Stanley R. Pliska & Xun Yu Zhou, 2005. "Continuous‐Time Mean‐Variance Portfolio Selection With Bankruptcy Prohibition," Mathematical Finance, Wiley Blackwell, vol. 15(2), pages 213-244, April.
    27. Jaksa Cvitanic & Fernando Zapatero, 2004. "Introduction to the Economics and Mathematics of Financial Markets," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262532654, December.
    28. Jennifer Huang & Kelsey D. Wei & Hong Yan, 2007. "Participation Costs and the Sensitivity of Fund Flows to Past Performance," Journal of Finance, American Finance Association, vol. 62(3), pages 1273-1311, June.
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    Cited by:

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    3. Anthony Tay & Jacques Olivier, 2008. "Time-Varying Incentives in the Mutual Fund Industry," Working Papers 10-2008, Singapore Management University, School of Economics, revised Jun 2008.
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    6. Suleyman Basak & Georgy Chabakauri, 2010. "Dynamic Mean-Variance Asset Allocation," The Review of Financial Studies, Society for Financial Studies, vol. 23(8), pages 2970-3016, August.
    7. Ben-Zhang Yang & Xin-Jiang He & Song-Ping Zhu, 2020. "Continuous time mean-variance-utility portfolio problem and its equilibrium strategy," Papers 2005.06782, arXiv.org, revised Nov 2020.
    8. Francis In & Sangbae Kim, 2012. "An Introduction to Wavelet Theory in Finance:A Wavelet Multiscale Approach," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8431, June.
    9. Ben-Zhang Yang & Xin-Jiang He & Song-Ping Zhu, 2020. "Mean-variance-utility portfolio selection with time and state dependent risk aversion," Papers 2007.06510, arXiv.org, revised Aug 2020.
    10. Anthony Tay, 2008. "Time-Varying Incentives in the Mutual Fund Industry," Finance Working Papers 22484, East Asian Bureau of Economic Research.
    11. Lu, Jin-Ray & Li, Xiu-Yan, 2021. "Identifying the fair value of Sharpe ratio by an option valuation approach," The Quarterly Review of Economics and Finance, Elsevier, vol. 82(C), pages 63-70.

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