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A contingent claim approach to performance evaluation

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  • Lawrence R. Glosten
  • Ravi Jagannathan

Abstract

We show that valuing performance is equivalent to valuing a particular contingent claim on an index portfolio. In general the form of the contingent claim is not known and must be estimated. We suggest approximating the contingent claim by a series of options. We illustrate the use of our method by evaluating the performance of 130 mutual funds during the period 1968–82. We find that the relative performance rank of a fund is rather insensitive to the choice of the index, even though the actual value of the services of the portfolio manager depends on the choice of the index.

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Bibliographic Info

Paper provided by Federal Reserve Bank of Minneapolis in its series Staff Report with number 159.

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Date of creation: 1993
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Handle: RePEc:fip:fedmsr:159

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Keywords: Mutual funds;

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References

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  1. Philip H. Dybvig, 1988. "Inefficient Dynamic Portfolio Strategies or How to Throw Away a Million Dollars in the Stock Market," Review of Financial Studies, Society for Financial Studies, vol. 1(1), pages 67-88.
  2. Gallant, A Ronald & Rossi, Peter E & Tauchen, George, 1992. "Stock Prices and Volume," Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 199-242.
  3. Hansen, Lars Peter & Jagannathan, Ravi, 1997. " Assessing Specification Errors in Stochastic Discount Factor Models," Journal of Finance, American Finance Association, vol. 52(2), pages 557-90, June.
  4. Hansen, Lars Peter & Jagannathan, Ravi, 1991. "Implications of Security Market Data for Models of Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 225-62, April.
  5. Bruce N. Lehmann & David M. Modest, 1985. "Mutual Fund Performance Evaluation: A Comparison of Benchmarks and Benchmark Comparisons," NBER Working Papers 1721, National Bureau of Economic Research, Inc.
  6. Hansen, Lars Peter & Richard, Scott F, 1987. "The Role of Conditioning Information in Deducing Testable," Econometrica, Econometric Society, vol. 55(3), pages 587-613, May.
  7. 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 513-33, October.
  8. Gallant, Ronald & Tauchen, George, 1989. "Seminonparametric Estimation of Conditionally Constrained Heterogeneous Processes: Asset Pricing Applications," Econometrica, Econometric Society, vol. 57(5), pages 1091-1120, September.
  9. Admati, Anat R, et al, 1986. " On Timing and Selectivity," Journal of Finance, American Finance Association, vol. 41(3), pages 715-30, July.
  10. Jagannathan, Ravi & Korajczyk, Robert A, 1986. "Assessing the Market Timing Performance of Managed Portfolios," The Journal of Business, University of Chicago Press, vol. 59(2), pages 217-35, April.
  11. Dybvig, Philip H & Ross, Stephen A, 1985. " Differential Information and Performance Measurement Using a Security Market Line," Journal of Finance, American Finance Association, vol. 40(2), pages 383-99, June.
  12. Dybvig, Philip H & Ingersoll, Jonathan E, Jr, 1982. "Mean-Variance Theory in Complete Markets," The Journal of Business, University of Chicago Press, vol. 55(2), pages 233-51, April.
  13. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
  14. 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.
  15. Lehmann, Bruce N & Modest, David M, 1987. " Mutual Fund Performance Evaluation: A Comparison of Benchmarks and Benchmark Comparisons," Journal of Finance, American Finance Association, vol. 42(2), pages 233-65, June.
  16. Brown, Stephen J, et al, 1992. "Survivorship Bias in Performance Studies," Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 553-80.
  17. 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.
  18. Connor, Gregory, 1984. "A unified beta pricing theory," Journal of Economic Theory, Elsevier, vol. 34(1), pages 13-31, October.
  19. Merton, Robert C, 1981. "On Market Timing and Investment Performance. I. An Equilibrium Theory of Value for Market Forecasts," The Journal of Business, University of Chicago Press, vol. 54(3), pages 363-406, July.
  20. 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.
  21. Ross, Stephen A., 1976. "The arbitrage theory of capital asset pricing," Journal of Economic Theory, Elsevier, vol. 13(3), pages 341-360, December.
  22. Roll, Richard, 1978. "Ambiguity when Performance is Measured by the Securities Market Line," Journal of Finance, American Finance Association, vol. 33(4), pages 1051-69, September.
  23. Green, Richard C & Srivastava, Sanjay, 1985. " Risk Aversion and Arbitrage," Journal of Finance, American Finance Association, vol. 40(1), pages 257-68, March.
  24. Mark Rubinstein, 1976. "The Valuation of Uncertain Income Streams and the Pricing of Options," Bell Journal of Economics, The RAND Corporation, vol. 7(2), pages 407-425, Autumn.
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