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Portfolio Performance Measurement: a No Arbitrage Bounds Approach

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  • Dong‐Hyun Ahn
  • H. Henry Cao
  • Stéphane Chrétien

Abstract

This paper presents a new method to examine the performance evaluation of mutual funds in incomplete markets. Based on the no arbitrage condition, we develop bounds on admissible performance measures. We suggest new ways of ranking mutual funds and provide a diagnostic instrument for evaluating the admissibility of candidate performance measures. Using a monthly sample of 320 equity funds, we show that admissible performance values can vary widely, supporting the casual observation that investors disagree on the evaluation of mutual funds. In particular, we cannot rule out that more than 80% of the mutual funds are given positive values by some investors. Moreover, we empirically demonstrate that potential inference errors embedded in existing parametric performance measures can be of important magnitude.

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  • Dong‐Hyun Ahn & H. Henry Cao & Stéphane Chrétien, 2009. "Portfolio Performance Measurement: a No Arbitrage Bounds Approach," European Financial Management, European Financial Management Association, vol. 15(2), pages 298-339, March.
    • Handle: RePEc:bla:eufman:v:15:y:2009:i:2:p:298-339
    DOI: 10.1111/j.1468-036X.2009.00480.x
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    as
    1. Wayne E. Ferson & Andrew F. Siegel, 2003. "Stochastic Discount Factor Bounds with Conditioning Information," The Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 567-595.
    2. Stephen A. Ross, 2013. "The Arbitrage Theory of Capital Asset Pricing," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 1, pages 11-30, World Scientific Publishing Co. Pte. Ltd..
    3. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    4. Christopherson, Jon A & Ferson, Wayne E & Glassman, Debra A, 1998. "Conditioning Manager Alphas on Economic Information: Another Look at the Persistence of Performance," The Review of Financial Studies, Society for Financial Studies, vol. 11(1), pages 111-142.
    5. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    6. Michael C. Jensen, 1968. "The Performance Of Mutual Funds In The Period 1945–1964," Journal of Finance, American Finance Association, vol. 23(2), pages 389-416, May.
    7. Hansen, Lars Peter & Jagannathan, Ravi, 1997. "Assessing Specification Errors in Stochastic Discount Factor Models," Journal of Finance, American Finance Association, vol. 52(2), pages 557-590, June.
    8. Fama, Eugene F., 1998. "Market efficiency, long-term returns, and behavioral finance," Journal of Financial Economics, Elsevier, vol. 49(3), pages 283-306, September.
    9. 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 225-262, April.
    10. Roger Otten & Dennis Bams, 2002. "European Mutual Fund Performance," European Financial Management, European Financial Management Association, vol. 8(1), pages 75-101, March.
    11. 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.
    12. John H. Cochrane & Jesus Saa-Requejo, 2000. "Beyond Arbitrage: Good-Deal Asset Price Bounds in Incomplete Markets," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 79-119, February.
    13. Russ Wermers, 2000. "Mutual Fund Performance: An Empirical Decomposition into Stock-Picking Talent, Style, Transactions Costs, and Expenses," Journal of Finance, American Finance Association, vol. 55(4), pages 1655-1703, August.
    14. 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(3), pages 419-444, September.
    15. 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 383-399, June.
    16. Ferson, Wayne E, 1989. " Changes in Expected Security Returns, Risk, and the Level of Interest Rates," Journal of Finance, American Finance Association, vol. 44(5), pages 1191-1217, December.
    17. Jensen, Michael C, 1969. "Risk, The Pricing of Capital Assets, and the Evaluation of Investment Portfolios," The Journal of Business, University of Chicago Press, vol. 42(2), pages 167-247, April.
    18. Fama, Eugene F. & French, Kenneth R., 1989. "Business conditions and expected returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 25(1), pages 23-49, November.
    19. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
    20. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    21. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    22. S. P. Kothari & Jerold B. Warner, 2001. "Evaluating Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 56(5), pages 1985-2010, October.
    23. Eric Ghysels, 1998. "On Stable Factor Structures in the Pricing of Risk: Do Time-Varying Betas Help or Hurt?," Journal of Finance, American Finance Association, vol. 53(2), pages 549-573, April.
    24. Russ Wermers, 2000. "Mutual Fund Performance: An Empirical Decomposition into Stock‐Picking Talent, Style, Transactions Costs, and Expenses," Journal of Finance, American Finance Association, vol. 55(4), pages 1655-1695, August.
    25. Lo, Andrew W & MacKinlay, A Craig, 1990. "Data-Snooping Biases in Tests of Financial Asset Pricing Models," The Review of Financial Studies, Society for Financial Studies, vol. 3(3), pages 431-467.
    26. Elton, Edwin J & Gruber, Martin J & Blake, Christopher R, 1996. "Survivorship Bias and Mutual Fund Performance," The Review of Financial Studies, Society for Financial Studies, vol. 9(4), pages 1097-1120.
    27. Chen, Zhiwu & Knez, Peter J, 1996. "Portfolio Performance Measurement: Theory and Applications," The Review of Financial Studies, Society for Financial Studies, vol. 9(2), pages 511-555.
    28. Martin J. Gruber, 2001. "Identifying the Risk Structure of Mutual Fund Returns," European Financial Management, European Financial Management Association, vol. 7(2), pages 147-159, June.
    29. Elton, Edwin J, et al, 1993. "Efficiency with Costly Information: A Reinterpretation of Evidence from Managed Portfolios," The Review of Financial Studies, Society for Financial Studies, vol. 6(1), pages 1-22.
    30. Brown, Stephen J & Goetzmann, William N, 1995. "Performance Persistence," Journal of Finance, American Finance Association, vol. 50(2), pages 679-698, June.
    31. 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 233-265, June.
    32. 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 401-416, June.
    33. Grinblatt, Mark & Titman, Sheridan, 1992. "The Persistence of Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 47(5), pages 1977-1984, December.
    34. Ferson, Wayne E & Harvey, Campbell R, 1991. "The Variation of Economic Risk Premiums," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 385-415, April.
    35. Geert Bekaert, 2004. "Conditioning Information and Variance Bounds on Pricing Kernels," The Review of Financial Studies, Society for Financial Studies, vol. 17(2), pages 339-378.
    36. 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.
    37. Cochrane, John H, 1996. "A Cross-Sectional Test of an Investment-Based Asset Pricing Model," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 572-621, June.
    38. Brown, Stephen J, et al, 1992. "Survivorship Bias in Performance Studies," The Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 553-580.
    39. Carhart, Mark M, 1997. "On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    40. Bekaert, Geert & Urias, Michael S, 1996. "Diversification, Integration and Emerging Market Closed-End Funds," Journal of Finance, American Finance Association, vol. 51(3), pages 835-869, July.
    41. Chen, Zhiwu & Knez, Peter J, 1995. "Measurement of Market Integration and Arbitrage," The Review of Financial Studies, Society for Financial Studies, vol. 8(2), pages 287-325.
    42. Dahlquist, Magnus & Soderlind, Paul, 1999. "Evaluating Portfolio Performance with Stochastic Discount Factors," The Journal of Business, University of Chicago Press, vol. 72(3), pages 347-383, July.
    43. Abhyankar, Abhay & Basu, Devraj & Stremme, Alexander, 2007. "Portfolio efficiency and discount factor bounds with conditioning information: An empirical study," Journal of Banking & Finance, Elsevier, vol. 31(2), pages 419-437, February.
    44. Gallant, A. Ronald & Hansen, Lars Peter & Tauchen, George, 1990. "Using conditional moments of asset payoffs to infer the volatility of intertemporal marginal rates of substitution," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 141-179.
    45. Tobias J. Moskowitz & Mark Grinblatt, 1999. "Do Industries Explain Momentum?," Journal of Finance, American Finance Association, vol. 54(4), pages 1249-1290, August.
    46. Antonio E. Bernardo & Olivier Ledoit, 2000. "Gain, Loss, and Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 144-172, February.
    47. Malkiel, Burton G, 1995. "Returns from Investing in Equity Mutual Funds 1971 to 1991," Journal of Finance, American Finance Association, vol. 50(2), pages 549-572, June.
    48. Hendricks, Darryll & Patel, Jayendu & Zeckhauser, Richard, 1993. "Hot Hands in Mutual Funds: Short-Run Persistence of Relative Performance, 1974-1988," Journal of Finance, American Finance Association, vol. 48(1), pages 93-130, March.
    49. Elton, Edwin J & Gruber, Martin J & Blake, Christopher R, 1996. "The Persistence of Risk-Adjusted Mutual Fund Performance," The Journal of Business, University of Chicago Press, vol. 69(2), pages 133-157, April.
    50. Heber Farnsworth, 2002. "Performance Evaluation with Stochastic Discount Factors," The Journal of Business, University of Chicago Press, vol. 75(3), pages 473-504, July.
    51. Long, John Jr., 1990. "The numeraire portfolio," Journal of Financial Economics, Elsevier, vol. 26(1), pages 29-69, July.
    52. Roll, Richard, 1978. "Ambiguity when Performance is Measured by the Securities Market Line," Journal of Finance, American Finance Association, vol. 33(4), pages 1051-1069, September.
    53. Heber Farnsworth & Wayne E. Ferson & David Jackson & Steven Todd, 2002. "Performance Evaluation with Stochastic Discount Factors," NBER Working Papers 8791, National Bureau of Economic Research, Inc.
    54. 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.
    55. 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 425-461, June.
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    4. Fletcher, Jonathan, 2014. "Benchmark models of expected returns in U.K. portfolio performance: An empirical investigation," International Review of Economics & Finance, Elsevier, vol. 29(C), pages 30-46.

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