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Arbitrage pricing theory

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  • Gur Huberman
  • Zhenyu Wang

Abstract

Focusing on capital asset returns governed by a factor structure, the Arbitrage Pricing Theory (APT) is a one-period model, in which preclusion of arbitrage over static portfolios of these assets leads to a linear relation between the expected return and its covariance with the factors. The APT, however, does not preclude arbitrage over dynamic portfolios. Consequently, applying the model to evaluate managed portfolios is contradictory to the no-arbitrage spirit of the model. An empirical test of the APT entails a procedure to identify features of the underlying factor structure rather than merely a collection of mean-variance efficient factor portfolios that satisfies the linear relation.

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  • Gur Huberman & Zhenyu Wang, 2005. "Arbitrage pricing theory," Staff Reports 216, Federal Reserve Bank of New York.
  • Handle: RePEc:fip:fednsr:216
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    1. Mark Mitchell & Todd Pulvino, 2001. "Characteristics of Risk and Return in Risk Arbitrage," Journal of Finance, American Finance Association, vol. 56(6), pages 2135-2175, December.
    2. Zhenyu Wang, 2005. "A Shrinkage Approach to Model Uncertainty and Asset Allocation," The Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 673-705.
    3. Jagannathan, Ravi & Skoulakis, Georgios & Wang, Zhenyu, 2002. "Generalized Method of Moments: Applications in Finance," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(4), pages 470-481, October.
    4. Huberman, Gur & Kandel, Shmuel & Stambaugh, Robert F, 1987. "Mimicking Portfolios and Exact Arbitrage Pricing," Journal of Finance, American Finance Association, vol. 42(1), pages 1-9, March.
    5. 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.
    6. Roll, Richard & Ross, Stephen A, 1980. "An Empirical Investigation of the Arbitrage Pricing Theory," Journal of Finance, American Finance Association, vol. 35(5), pages 1073-1103, December.
    7. Pastor, Lubos & Stambaugh, Robert F., 2002. "Mutual fund performance and seemingly unrelated assets," Journal of Financial Economics, Elsevier, vol. 63(3), pages 315-349, March.
    8. Grinblatt, Mark & Titman, Sheridan, 1987. "The Relation between Mean-Variance Efficiency and Arbitrage Pricing," The Journal of Business, University of Chicago Press, vol. 60(1), pages 97-112, January.
    9. Goldenberg, David H & Robin, Ashok J, 1991. "The Arbitrage Pricing Theory and Cost-of-Capital Estimation: The Case of Electric Utilities," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 14(3), pages 181-196, Fall.
    10. 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..
    11. Raymond Kan & Guofu Zhou, 2012. "Tests of Mean-Variance Spanning," Annals of Economics and Finance, Society for AEF, vol. 13(1), pages 139-187, May.
    12. Gregory Connor and Robert Korajczyk., 1987. "Risk and Return in an Equilibrium APT," Research Program in Finance Working Papers 174, University of California at Berkeley.
    13. Jobson, J. D. & Korkie, Bob, 1982. "Potential performance and tests of portfolio efficiency," Journal of Financial Economics, Elsevier, vol. 10(4), pages 433-466, December.
    14. 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.
    15. Chen, Nai-fu & Ingersoll, Jonathan E, Jr, 1983. "Exact Pricing in Linear Factor Models with Finitely Many Assets: A Note," Journal of Finance, American Finance Association, vol. 38(3), pages 985-988, June.
    16. Ravi Jagannathan & Zhenyu Wang, 2002. "Empirical Evaluation of Asset‐Pricing Models: A Comparison of the SDF and Beta Methods," Journal of Finance, American Finance Association, vol. 57(5), pages 2337-2367, October.
    17. Shanken, Jay, 1982. "The Arbitrage Pricing Theory: Is It Testable?," Journal of Finance, American Finance Association, vol. 37(5), pages 1129-1140, December.
    18. Bruce N. Lehmann & David M. Modest, 1985. "The Empirical Foundations of the Arbitrage Pricing Theory II: The Optimal Construction of Basis Portfolios," NBER Working Papers 1726, National Bureau of Economic Research, Inc.
    19. Glosten, L. R. & Jagannathan, R., 1994. "A contingent claim approach to performance evaluation," Journal of Empirical Finance, Elsevier, vol. 1(2), pages 133-160, January.
    20. Connor, Gregory, 1984. "A unified beta pricing theory," Journal of Economic Theory, Elsevier, vol. 34(1), pages 13-31, October.
    21. Chen, Nai-fu, 1983. "Some Empirical Tests of the Theory of Arbitrage Pricing," Journal of Finance, American Finance Association, vol. 38(5), pages 1393-1414, December.
    22. Cai, Jun & Chan, K C & Yamada, Takeshi, 1997. "The Performance of Japanese Mutual Funds," The Review of Financial Studies, Society for Financial Studies, vol. 10(2), pages 237-273.
    23. Chamberlain, Gary, 1983. "Funds, Factors, and Diversification in Arbitrage Pricing Models," Econometrica, Econometric Society, vol. 51(5), pages 1305-1323, September.
    24. Jobson, John D, 1982. "A Multivariate Linear Regression Test for the Arbitrage Pricing Theory," Journal of Finance, American Finance Association, vol. 37(4), pages 1037-1042, September.
    25. Pastor, Lubos & Stambaugh, Robert F., 2000. "Comparing asset pricing models: an investment perspective," Journal of Financial Economics, Elsevier, vol. 56(3), pages 335-381, June.
    26. Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-636, May-June.
    27. Dybvig, Philip H & Ross, Stephen A, 1985. "Yes, the APT Is Testable," Journal of Finance, American Finance Association, vol. 40(4), pages 1173-1188, September.
    28. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    29. Chan, Louis K C & Hamao, Yasushi & Lakonishok, Josef, 1991. "Fundamentals and Stock Returns in Japan," Journal of Finance, American Finance Association, vol. 46(5), pages 1739-1764, December.
    30. Dybvig, Philip H., 1983. "An explicit bound on individual assets' deviations from APT pricing in a finite economy," Journal of Financial Economics, Elsevier, vol. 12(4), pages 483-496, December.
    31. Peñaranda, Francisco & Sentana, Enrique, 2012. "Spanning tests in return and stochastic discount factor mean–variance frontiers: A unifying approach," Journal of Econometrics, Elsevier, vol. 170(2), pages 303-324.
    32. Louis K. C. Chan & Hsiu-Lang Chen & Josef Lakonishok, 2002. "On Mutual Fund Investment Styles," The Review of Financial Studies, Society for Financial Studies, vol. 15(5), pages 1407-1437.
    33. Stambaugh, Robert F., 1983. "Arbitrage pricing with information," Journal of Financial Economics, Elsevier, vol. 12(3), pages 357-369, November.
    34. Zhenyu Wang & Xiaoyan Zhang, 2006. "Empirical evaluation of asset pricing models: arbitrage and pricing errors over contingent claims," Staff Reports 265, Federal Reserve Bank of New York.
    35. Shanken, Jay, 1992. "On the Estimation of Beta-Pricing Models," The Review of Financial Studies, Society for Financial Studies, vol. 5(1), pages 1-33.
    36. Carhart, Mark M, 1997. "On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    37. David H. Goldenberg & Ashok J. Robin, 1991. "The Arbitrage Pricing Theory And Cost-Of-Capital Estimation: The Case Of Electric Utilities," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 14(3), pages 181-196, September.
    38. Ingersoll, Jonathan E, Jr, 1984. "Some Results in the Theory of Arbitrage Pricing," Journal of Finance, American Finance Association, vol. 39(4), pages 1021-1039, September.
    39. Chen, Nai-Fu & Roll, Richard & Ross, Stephen A, 1986. "Economic Forces and the Stock Market," The Journal of Business, University of Chicago Press, vol. 59(3), pages 383-403, July.
    40. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    41. Grinblatt, Mark & Titman, Sheridan, 1983. "Factor pricing in a finite economy," Journal of Financial Economics, Elsevier, vol. 12(4), pages 497-507, December.
    42. Fung, William & Hsieh, David A, 2001. "The Risk in Hedge Fund Strategies: Theory and Evidence from Trend Followers," The Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 313-341.
    43. 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.
    44. Ravi Jagannathan & Zhenyu Wang, 1998. "An Asymptotic Theory for Estimating Beta-Pricing Models Using Cross-Sectional Regression," Journal of Finance, American Finance Association, vol. 53(4), pages 1285-1309, August.
    45. Edward J. Green & Jose A. Lopez & Zhenyu Wang, 2003. "Formulating the imputed cost of equity capital for priced services at Federal Reserve banks," Economic Policy Review, Federal Reserve Bank of New York, issue Sep, pages 55-81.
    46. 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.
    47. Antoniou, Antonios & Garrett, Ian & Priestley, Richard, 1998. "Calculating the equity cost of capital using the APT: the impact of the ERM," Journal of International Money and Finance, Elsevier, vol. 17(6), pages 949-965, December.
    48. Bower, Dorothy H & Bower, Richard S & Logue, Dennis E, 1984. "Arbitrage Pricing Theory and Utility Stock Returns," Journal of Finance, American Finance Association, vol. 39(4), pages 1041-1054, September.
    49. Chan, K. C. & Chen, Nai-fu & Hsieh, David A., 1985. "An exploratory investigation of the firm size effect," Journal of Financial Economics, Elsevier, vol. 14(3), pages 451-471, September.
    50. Busse, Jeffrey A, 1999. "Volatility Timing in Mutual Funds: Evidence from Daily Returns," The Review of Financial Studies, Society for Financial Studies, vol. 12(5), pages 1009-1041.
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    Cited by:

    1. M. Ali Khan & Yeneng Sun, 1996. "Hyperfinite Asset Pricing Theory," Cowles Foundation Discussion Papers 1139, Cowles Foundation for Research in Economics, Yale University.
    2. John Ammer, 1993. "Macroeconomic risk and asset pricing: estimating the apt with observable factors," International Finance Discussion Papers 448, Board of Governors of the Federal Reserve System (U.S.).
    3. Malhotra, Karan, 2010. "Autoregressive multifactor APT model for U.S. Equity Markets," MPRA Paper 23418, University Library of Munich, Germany.
    4. Ramakrishnan, Ram T S & Thakor, Anjan V, 1984. "The Valuation of Assets under Moral Hazard," Journal of Finance, American Finance Association, vol. 39(1), pages 229-238, March.
    5. Khan, M. Ali & Sun, Yeneng, 2003. "Exact arbitrage, well-diversified portfolios and asset pricing in large markets," Journal of Economic Theory, Elsevier, vol. 110(2), pages 337-373, June.
    6. Keiber, Karl Ludwig & Samyschew, Helene, 2017. "The world price of sentiment risk," Global Finance Journal, Elsevier, vol. 32(C), pages 62-82.
    7. Raymond Swaray & Afees A. Salisu, 2017. "The impact of crude oil prices on stock prices of oil firms: Should upstream-downstream dichotomy in supply chain be ignored?," Working Papers 021, Centre for Econometric and Allied Research, University of Ibadan.

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    Keywords

    Arbitrage - Econometric models; Stock - Prices; Portfolio management;
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