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Bayesian Performance Evaluation

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Author Info
Klaas Baks
Andrew Metrick
Jessica Wachter

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Abstract

This paper proposes a Bayesian method of performance evaluation for investment managers. We begin with a flexible set of prior beliefs that can be elicited without any reference to probability distributions or their parameters. We then combine these prior beliefs with a general multi-factor model and derive an analytical solution for the posterior expectation of alpha', the intercept term from the model. This solution can be computed using only a few extra steps beyond maximum likelihood estimation and does not require a comprehensive or bias-free database. We then apply our methodology to a sample of domestic diversified equity mutual funds and ask what prior beliefs would imply zero investment in active managers?' To justify such a zero-investment strategy, we find that a mean-variance investor would need to believe that less than 1 out of every 100,000 managers has an expected alpha greater than 25 basis points per month. Overall, our analysis suggests that even when the average manager is expected to underperform passive benchmarks, it requires very strong prior beliefs to imply zero investment in managers with the best past performance.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 7069.

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Date of creation: Apr 1999
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Handle: RePEc:nbr:nberwo:7069

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Find related papers by JEL classification:
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies

References listed on IDEAS
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  8. Shanken, Jay, 1987. "A Bayesian approach to testing portfolio efficiency," Journal of Financial Economics, Elsevier, vol. 19(2), pages 195-215, December. [Downloadable!] (restricted)
  9. Brown, Stephen J & Goetzmann, William N, 1995. " Performance Persistence," Journal of Finance, American Finance Association, vol. 50(2), pages 679-98, June. [Downloadable!] (restricted)
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  10. Robert F. Stambaugh, 1997. "Analyzing Investments Whose Histories Differ in Length," NBER Working Papers 5918, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  11. Klein, Roger W. & Bawa, Vijay S., 1976. "The effect of estimation risk on optimal portfolio choice," Journal of Financial Economics, Elsevier, vol. 3(3), pages 215-231, June. [Downloadable!] (restricted)
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  13. Keim, Donald B. & Madhavan, Ananth, 1997. "Transactions costs and investment style: an inter-exchange analysis of institutional equity trades," Journal of Financial Economics, Elsevier, vol. 46(3), pages 265-292, December. [Downloadable!] (restricted)
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  16. repec:fth:pennfi:72 is not listed on IDEAS
  17. Gibbons, Michael R & Ross, Stephen A & Shanken, Jay, 1989. "A Test of the Efficiency of a Given Portfolio," Econometrica, Econometric Society, vol. 57(5), pages 1121-52, September. [Downloadable!] (restricted)
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  19. 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 425-61, June. [Downloadable!] (restricted)
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Cited by:
(explanations, 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.)

  1. Borgsen, Sina & Glaser, Markus, 2005. "Diversifikationseffekte durch Small und Mid Caps?," Sonderforschungsbereich 504 Publications 05-10, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
  2. Malcolm Baker & Lubomir Litov & Jessica A. Wachter & Jeffrey Wurgler, 2004. "Can Mutual Fund Managers Pick Stocks? Evidence from the Trades Prior to Earnings Announcements," NBER Working Papers 10685, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  3. Lubos Pastor & Robert F. Stambaugh, 2000. "Evaluating and Investing in Equity Mutual Funds," NBER Working Papers 7779, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  4. Klaas Baks & Andrew Metrick & Jessica Wachter, . "Should Investors Avoid All Actively Managed Mutual Funds? A Study in Bayesian Performance Evaluation," Rodney L. White Center for Financial Research Working Papers 18-99, Wharton School Rodney L. White Center for Financial Research. [Downloadable!]
    Other versions:
  5. JOSHUA D. COVAL & David Hirshleifer & TYLER G. SHUMWAY, 2004. "Can Individual Investors Beat the Market?," Finance 0412005, EconWPA. [Downloadable!]
  6. Marcin Kacperczyk & Clemens Sialm & Lu Zheng, 2004. "On the Industry Concentration of Actively Managed Equity Mutual Funds," NBER Working Papers 10770, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
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