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Benchmark Invariancy, Seasonality and APM-Free Portfolio Performance Measures

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Abstract

The Jobson-Korkie (1981) Z score and the positive period weighting (PPW) score of Grinblatt and Titman (1989) are applied to various benchmarks of market and mimicking portfolios to study the benchmark invariancy problem. Significantly different portfolio performance inferences are found for a sample of 146 equity mutual funds depending on the mean-variance efficiency of the portfolio benchmarks (mimicking portfolios versus market indices). Portfolio performance inferences are affected significantly by the number of factors, nonsynchronous trading adjustment, and the sizes of the firms used for factor extraction. The returns of the portfolio benchmarks exhibit significant monthly seasonalities, which, in turn, significantly influence mutual fund performance inferences.

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References

  • Blume, M. E. and R. F. Stambaugh, “Biases in Computed Returns.” Journal of Financial Economics 387–404, 1983.

  • Cumby, R. E., and J. D. Glen, “Evaluating the Performance of International Mutual Funds.” Journal of Finance 497–521, 1990.

  • Dybvig, P., and S. Ross, “Differential Information and Performance Measurement using a Security Market Line.” Journal of Finance 383–399, 1985.

  • Efron, B., The Jackknife, the Bootstrap and Other Resampling Plans Society for Industrial and Applied Mathematics, Philadelphia, 1982.

    Google Scholar 

  • Glosten, L. R., and R. Jagannathan, “A Contingent Claim Approach to Performance Evaluation.” Working Paper Northwestern University, 1988.

  • Grinblatt, M., and S. Titman, “The Relation Between Mean-Variance Efficiency and Arbitrage Pricing.” Journal of Business 97–108, 1987.

  • —, “The Evaluation of Mutual Fund Performance: An Analysis of Monthly Returns.” Working Paper UCLA, 1988.

  • —, “Portfolio Performance Evaluation: Old Issues and New Insights,” Review of Financial Studies 393–421, 1989.

  • Henriksson, R., and R. Merton, “On Market Timing and Investment Performance II: Statistical Procedures for Evaluating Forecasting Skills.” Journal of Business 513–534, 1981.

  • Jensen, M., “The Performance of Mutual Funds in the Period 1945–1964.” Journal of Finance 389–416, 1968.

  • Jobson, J. D., and B. Korkie, “Performance Hypothesis Testing with the Sharpe and Treynor Measures.” Journal of Finance 889–908, 1981.

  • — and —, “Potential Performance and Tests of Portfolio Efficiency.” Journal of Financial Economics 433–466, 1982.

  • Johnson, R. A., and D. W. Wichern, Applied Multivariate Statistical Analysis Englewood Cliffs: New Jersey, 1982.

    Google Scholar 

  • Korkie, B., “Corrections For Trading Frictions in Multivariate Returns.” Journal of Finance 1421–1435, 1989.

  • Kryzanowski, L., and H. Zhang, “Economic Forces and Seasonality in Security Returns.” Review of Ouantitative Finance and Accounting 227–244, 1992.

  • Lee, C. F., and S. Rahman, “Market Timing, Selectivity, and Mutual Fund Performance: An Empirical Investigation.” Journal of Business 261–279, 1990.

  • Lehmann, B., and D. Modest, “The Empirical Foundations of the Arbitrage Pricing Theory I: The Empirical Tests.” Working Paper Columbia University, 1985a.

  • —, “The Empirical Foundations of the Arbitrage Pricing Theory II: The Optimal Construction of Basis Portfolios.” Working Paper Columbia University, 1985b.

  • —, “Mutual Fund Performance Evaluation: A Comparison of Benchmarks and Benchmarks Comparisons.” Journal of Finance 233–265, 1987.

  • Newey, W. K., and K. D. West, “An Estimator of Heteroscedasticity and Autocorrelations Consistent Covariance Matrix.” Econometrica 703–707, 1987.

  • Roll, R. “On Computing Mean Returns and the Small Firm Premium.” Journal of Financial Economics 12, 371–386, 1983.

    Google Scholar 

  • Shanken, J., “Multivariate Tests of the Zero-beta CAPM.” Journal of Financial Economics 1189–1196, 1985.

  • —, “Nonsynchronous Data and the Covariance-Factor Structure of Returns.” Journal of Finance 42, 221–231, 1987.

    Google Scholar 

  • Sharpe, W., “Mutual Fund Performance.” Journal of Business 119–138, 1966.

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Kryzanowski, L., Lalancette, S. & To, M.C. Benchmark Invariancy, Seasonality and APM-Free Portfolio Performance Measures. Review of Quantitative Finance and Accounting 10, 75–94 (1998). https://doi.org/10.1023/A:1008200314454

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  • DOI: https://doi.org/10.1023/A:1008200314454

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