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Ranking Portfolio Performance: An Application of a Joint Means and Variances Equality Test

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Author Info
Joel Owen (New York University)
Ramón Rabinovitch (University of Houston)
Abstract

We propose a new procedure to rank portfolio performance. Given a set of N portfolios, we use statistical tests of dominance which produce direct mean-variance comparisons between any two portfolios in the set. These tests yield an NxN matrix of pairwise comparisons. A ranking function maps the elements of the comparison matrix into a numerical ranking. To illustrate the procedure we use a set of 133 mutual funds, including the S&P500 index and the CRSP equal and value weighted indexes. We explore the empirical and theoretical relationships between our ranking procedure and the Treynor, Sharpe and Jensen performance measures. In general, the new procedure?s ranking is relatively robust, does not allow for gaming and can be performed with small samples.

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File URL: http://www.cema.edu.ar/publicaciones/download/volume2/owen_rabinovich.pdf
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Publisher Info
Article provided by Universidad del CEMA in its journal Journal of Applied Economics.

Volume (Year): II (1999)
Issue (Month): (May)
Pages: 97-130
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Handle: RePEc:cem:jaecon:v:2:y:1999:n:1:p:97-130

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  1. Grinblatt, Mark & Titman, Sheridan, 1993. "Performance Measurement without Benchmarks: An Examination of Mutual Fund Returns," Journal of Business, University of Chicago Press, vol. 66(1), pages 47-68, January. [Downloadable!] (restricted)
  2. Dybvig, Philip H & Ross, Stephen A, 1985. " The Analytics of Performance Measurement Using a Security Market Line," Journal of Finance, American Finance Association, vol. 40(2), pages 401-16, June. [Downloadable!] (restricted)
  3. Grinblatt, Mark & Titman, Sheridan D, 1989. "Mutual Fund Performance: An Analysis of Quarterly Portfolio Holdings," Journal of Business, University of Chicago Press, vol. 62(3), pages 393-416, July. [Downloadable!] (restricted)
    Other versions:
  4. Jobson, J D & Korkie, Bob M, 1981. "Performance Hypothesis Testing with the Sharpe and Treynor Measures," Journal of Finance, American Finance Association, vol. 36(4), pages 889-908, September. [Downloadable!] (restricted)
  5. Grinblatt, Mark & Titman, Sheridan, 1992. " The Persistence of Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 47(5), pages 1977-84, December. [Downloadable!] (restricted)
  6. Grinblatt, Mark & Titman, Sheridan, 1994. "A Study of Monthly Mutual Fund Returns and Performance Evaluation Techniques," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 29(03), pages 419-444, September. [Downloadable!]
  7. Green, Richard C, 1986. " Benchmark Portfolio Inefficiency and Deviations from the Security Market Line," Journal of Finance, American Finance Association, vol. 41(2), pages 295-312, June. [Downloadable!] (restricted)
  8. Jagannathan, Ravi & Korajczyk, Robert A, 1986. "Assessing the Market Timing Performance of Managed Portfolios," Journal of Business, University of Chicago Press, vol. 59(2), pages 217-35, April. [Downloadable!] (restricted)
  9. 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)
    Other versions:
  10. William F. Sharpe, 1965. "Mutual Fund Performance," Journal of Business, University of Chicago Press, vol. 39, pages 119. [Downloadable!]
  11. Mark Grinblatt & Sheridan Titman, 1991. "Do Benchmarks Matter? Do Measures Matter? A Study of Monthly Mutual Fund Returns," University of California at Los Angeles, Anderson Graduate School of Management 1169, Anderson Graduate School of Management, UCLA. [Downloadable!]
  12. Henriksson, Roy D, 1984. "Market Timing and Mutual Fund Performance: An Empirical Investigation," Journal of Business, University of Chicago Press, vol. 57(1), pages 73-96, January. [Downloadable!] (restricted)
  13. Mark Grinblatt & Sheridan Titman, . "Portfolio Performance Evaluation: Old Issues and New Insights," Rodney L. White Center for Financial Research Working Papers 22-88, Wharton School Rodney L. White Center for Financial Research.
  14. Merton, Robert C, 1981. "On Market Timing and Investment Performance. I. An Equilibrium Theory of Value for Market Forecasts," Journal of Business, University of Chicago Press, vol. 54(3), pages 363-406, July. [Downloadable!] (restricted)
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