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The Generalized Treynor Ratio

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  • Georges Hübner

Abstract

This paper extends the Treynor performance ratio for a single index to the case of multiple indexes. The new measure, called the Generalized Treynor Ratio, preserves the same key geometric and analytical properties of the original Treynor Ratio. The Generalized Treynor Ratio is defined as the abnormal return of a portfolio per unit of premium-weighted average systematic risk, normalized by the premium-weighted average systematic risk of the benchmark. Numerical simulations reveal that the portfolio rankings produced with this measure are more precise and more stable than the ones provided by Jensen’s alpha and the Information Ratio. Copyright Springer 2005

Suggested Citation

  • Georges Hübner, 2005. "The Generalized Treynor Ratio," Review of Finance, Springer, vol. 9(3), pages 415-435, September.
  • Handle: RePEc:kap:eurfin:v:9:y:2005:i:3:p:415-435
    DOI: 10.1007/s10679-005-2265-x
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    1. Michael C. Jensen, 1968. "The Performance Of Mutual Funds In The Period 1945–1964," Journal of Finance, American Finance Association, vol. 23(2), pages 389-416, May.
    2. Henriksson, Roy D & Merton, Robert C, 1981. "On Market Timing and Investment Performance. II. Statistical Procedures for Evaluating Forecasting Skills," The Journal of Business, University of Chicago Press, vol. 54(4), pages 513-533, October.
    3. Stephen A. Ross, 2013. "The Arbitrage Theory of Capital Asset Pricing," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 1, pages 11-30, World Scientific Publishing Co. Pte. Ltd..
    4. S. P. Kothari & Jerold B. Warner, 2001. "Evaluating Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 56(5), pages 1985-2010, October.
    5. Chen, Zhiwu & Knez, Peter J, 1996. "Portfolio Performance Measurement: Theory and Applications," The Review of Financial Studies, Society for Financial Studies, vol. 9(2), pages 511-555.
    6. Grinblatt, Mark & Titman, Sheridan D, 1989. "Mutual Fund Performance: An Analysis of Quarterly Portfolio Holdings," The Journal of Business, University of Chicago Press, vol. 62(3), pages 393-416, July.
    7. Carpenter, Jennifer N. & Lynch, Anthony W., 1999. "Survivorship bias and attrition effects in measures of performance persistence," Journal of Financial Economics, Elsevier, vol. 54(3), pages 337-374, December.
    8. Chen, Nai-Fu & Roll, Richard & Ross, Stephen A, 1986. "Economic Forces and the Stock Market," The Journal of Business, University of Chicago Press, vol. 59(3), pages 383-403, July.
    9. Connor, Gregory & Korajczyk, Robert A., 1986. "Performance measurement with the arbitrage pricing theory : A new framework for analysis," Journal of Financial Economics, Elsevier, vol. 15(3), pages 373-394, March.
    10. Ferson, Wayne E & Schadt, Rudi W, 1996. "Measuring Fund Strategy and Performance in Changing Economic Conditions," Journal of Finance, American Finance Association, vol. 51(2), pages 425-461, June.
    11. Ledoit, Olivier & Wolf, Michael, 2003. "Improved estimation of the covariance matrix of stock returns with an application to portfolio selection," Journal of Empirical Finance, Elsevier, vol. 10(5), pages 603-621, December.
    12. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    13. 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.
    14. Treynor, Jack L & Black, Fischer, 1973. "How to Use Security Analysis to Improve Portfolio Selection," The Journal of Business, University of Chicago Press, vol. 46(1), pages 66-86, January.
    15. Jobson, J D & Korkie, Bob, 1984. "On the Jensen Measure and Marginal Improvements in Portfolio Performance: A Note," Journal of Finance, American Finance Association, vol. 39(1), pages 245-251, March.
    16. Kraus, Alan & Litzenberger, Robert H, 1976. "Skewness Preference and the Valuation of Risk Assets," Journal of Finance, American Finance Association, vol. 31(4), pages 1085-1100, September.
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    2. Cogneau, Philippe & Hübner, Georges, 2015. "The prediction of fund failure through performance diagnostics," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 224-241.
    3. Carmichael, Benoît & Coën, Alain, 2008. "Asset pricing models with errors-in-variables," Journal of Empirical Finance, Elsevier, vol. 15(4), pages 778-788, September.
    4. Leif Holger Dietze & Oliver Entrop & Marco Wilkens, 2009. "The performance of investment grade corporate bond funds: evidence from the European market," The European Journal of Finance, Taylor & Francis Journals, vol. 15(2), pages 191-209.
    5. Galatis Nikolaos & Nitsi Ekaterini & Theloura Chrysoula, 2020. "Investigating Financial Performance of Low-and High-Rated ETFs During the QE-Tapering," HOLISTICA – Journal of Business and Public Administration, Sciendo, vol. 11(1), pages 107-123, April.
    6. Laurent Bodson & Laurent Cavenaile & Danielle Sougné, 2011. "Does size affect mutual fund performance? A general approach," Journal of Asset Management, Palgrave Macmillan, vol. 12(3), pages 163-171, August.

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