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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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Publication status: published as Newly titled "Should Investors Avoid All Actively Managed Mutual Funds? A Study in Bayesian Performance Evaluation", Journal of Finance (February 2001).
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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  10. Kandel, Shmuel & McCulloch, Robert & Stambaugh, Robert F, 1995. "Bayesian Inference and Portfolio Efficiency," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 8(1), pages 1-53. [Downloadable!] (restricted)
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  11. repec:fth:pennfi:72 is not listed on IDEAS
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  15. Lubos Pástor & Robert F. Stambaugh, 1999. "Costs of Equity Capital and Model Mispricing," Journal of Finance, American Finance Association, vol. 54(1), pages 67-121, 02. [Downloadable!] (restricted)
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  16. 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. 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!]
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