The New Palgrave Dictionary of Economics

2018 Edition
| Editors: Macmillan Publishers Ltd

Arbitrage Pricing Theory

  • Gur Huberman
  • Zhenyu Wang
Reference work entry


Focusing on asset returns governed by a factor structure, the 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 contradicts 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.


Arbitrage Arbitrage pricing theory Arrow–Debreu security pricing Asset allocation Asset pricing Black–Scholes model Capital asset pricing model Cost of capital Factor models Generalized method of moments Hilbert space techniques Mean- variance efficiency Portfolio analysis Stochastic discount factor 

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  1. Antoniou, A., I. Garrett, and R. Priestley. 1998. Calculating the equity cost of capital using the APT: The impact of the ERM. Journal of International Money and Finance 14: 949–965.CrossRefGoogle Scholar
  2. Black, F., and M. Scholes. 1973. The pricing of options and corporate liabilities. Journal of Political Economy 81: 637–654.CrossRefGoogle Scholar
  3. Black, F., M. Jensen, and M. Scholes. 1972. The capital-asset pricing model: Some empirical tests. In Studies in the theory of capital markets, ed. M. Jensen. New York: Praeger Publishers.Google Scholar
  4. Bower, R., and G. Schink. 1994. Application of the Fama–French model to utility stocks. Financial Markets, Institutions and Instruments 3: 74–96.Google Scholar
  5. Bower, D., R. Bower, and D. Logue. 1984. Arbitrage pricing and utility stock returns. Journal of Finance 39: 1041–1054.CrossRefGoogle Scholar
  6. Busse, J. 1999. Volatility timing in mutual funds: Evidence from daily returns. Review of Financial Studies 12: 1009–1041.CrossRefGoogle Scholar
  7. Cai, J., K. Chan, and T. Yamada. 1997. The performance of Japanese mutual funds. Review of Financial Studies 10: 237–273.CrossRefGoogle Scholar
  8. Campbell, J., A. Lo, and C. MacKinley. 1997. The econometrics of financial markets. Princeton: Princeton University Press.Google Scholar
  9. Carhart, M. 1997. On persistence in mutual fund performance. Journal of Finance 52: 57–82.CrossRefGoogle Scholar
  10. Chamberlain, G. 1983. Funds, factors and diversification in arbitrage pricing models. Econometrica 51: 1305–1323.CrossRefGoogle Scholar
  11. Chamberlain, G., and M. Rothschild. 1983. Arbitrage, factor structure, and mean variance analysis on large asset markets. Econometrica 51: 1281–1304.CrossRefGoogle Scholar
  12. Chan, K., N. Chen, and D. Hsieh. 1985. An exploratory investigation of the firm size effect. Journal of Financial Economics 14: 451–471.CrossRefGoogle Scholar
  13. Chan, L., Y. Hamao, and J. Lakonishok. 1991. Fundamentals and stock returns in Japan. Journal of Finance 46: 1739–1764.CrossRefGoogle Scholar
  14. Chan, L., H. Chen, and J. Lakonishok. 2002. On mutual fund investment styles. Review of Financial Studies 15: 1407–1437.CrossRefGoogle Scholar
  15. Chen, N. 1983. Some empirical tests of the theory of arbitrage pricing. Journal of Finance 38: 1393–1414.CrossRefGoogle Scholar
  16. Chen, N., and J. Ingersoll. 1983. Exact pricing in linear factor models with infinitely many assets: A note. Journal of Finance 38: 985–988.CrossRefGoogle Scholar
  17. Chen, N., R. Roll, and S. Ross. 1986. Economic forces and the stock markets. Journal of Business 59: 383–403.CrossRefGoogle Scholar
  18. Connor, G. 1984. A unified beta pricing theory. Journal of Economic Theory 34: 13–31.CrossRefGoogle Scholar
  19. Connor, G., and R. Korajczyk. 1986. Performance measurement with the arbitrage pricing theory: A framework for analysis. Journal of Financial Economics 15: 373–394.CrossRefGoogle Scholar
  20. Connor, G., and R. Korajczyk. 1988. Risk and return in an equilibrium APT: Application of a new test methodology. Journal of Financial Economics 21: 213–254.CrossRefGoogle Scholar
  21. Daniel, K., and S. Titman. 1997. Evidence on the characteristics of cross sectional variation in stock returns. Journal of Finance 52: 1–33.CrossRefGoogle Scholar
  22. DiValentino, L. 1994. Preface. Financial Markets, Institutions and Instruments 3: 6–8.Google Scholar
  23. Dybvig, P. 1983. An explicit bound on deviations from APT pricing in a finite economy. Journal of Financial Economics 12: 483–496.CrossRefGoogle Scholar
  24. Dybvig, P., and J. Ingersoll. 1982. Mean-variance theory in complete markets. Journal of Business 55: 233–251.CrossRefGoogle Scholar
  25. Dybvig, P., and S. Ross. 1985. Yes, the APT is testable. Journal of Finance 40: 1173–1188.CrossRefGoogle Scholar
  26. Elton, E., M. Gruber, and J. Mei. 1994. Cost of capital using arbitrage pricing theory: A case study of nine New York utilities. Financial Markets, Institutions and Instruments 3: 46–73.Google Scholar
  27. Elton, E., M. Gruber, and C. Blake. 1996. Survivorship bias and mutual fund performance. Review of Financial Studies 9: 1097–1120.CrossRefGoogle Scholar
  28. Fama, E., and K. French. 1992. The cross-section of expected stock returns. Journal of Finance 47: 427–486.CrossRefGoogle Scholar
  29. Fama, E., and K. French. 1993. Common risk factors in the returns on stocks and bonds. Journal of Financial Economics 33: 3–56.CrossRefGoogle Scholar
  30. Fama, E., and J. MacBeth. 1973. Risk, return and equilibrium: Empirical tests. Journal of Political Economy 71: 607–636.CrossRefGoogle Scholar
  31. Fung, W., and D. Hsieh. 2001. The risks in hedge fund strategies: Theory and evidence from trend followers. Review of Financial Studies 14: 313–341.CrossRefGoogle Scholar
  32. Glosten, L., and R. Jagannathan. 1994. A contingent claim approach to performance evaluation. Journal of Empirical Finance 1: 133–160.CrossRefGoogle Scholar
  33. Goldenberg, G., and A. Robin. 1991. The arbitrage pricing theory and cost-of-capital estimation: The case of electric utilities. Journal of Financial Research 14: 181–196.CrossRefGoogle Scholar
  34. Green, E., J. Lopez, and Z. Wang. 2003. Formulating the imputed cost of equity for priced services at Federal Reserve Banks. Economic Policy Review 9: 55–58.Google Scholar
  35. Grinblatt, M., and S. Titman. 1983. Factor pricing in a finite economy. Journal of Financial Economics 12: 495–507.CrossRefGoogle Scholar
  36. Grinblatt, M., and S. Titman. 1987. The relation between mean-variance efficiency and arbitrage pricing. Journal of Business 60: 97–112.CrossRefGoogle Scholar
  37. Hansen, L., and R. Jagannathan. 1991. Implications of security market data for models of dynamic economies. Journal of Political Economy 99: 225–262.CrossRefGoogle Scholar
  38. Hansen, L., and R. Jagannathan. 1997. Assessing specification errors in stochastic discount factor models. Journal of Finance 52: 557–590.CrossRefGoogle Scholar
  39. Huberman, G. 1982. A simple approach to arbitrage pricing. Journal of Economic Theory 28: 183–191.CrossRefGoogle Scholar
  40. Huberman, G., and S. Kandel. 1985a. A size based stock returns model. Center for Research in Security Prices Working Paper 148, University of Chicago.Google Scholar
  41. Huberman, G., and S. Kandel. 1985b. Likelihood ratio tests of asset pricing and mutual fund separation. Center for Research in Security Prices Working Paper 149, University of Chicago.Google Scholar
  42. Huberman, G., S. Kandel, and R. Stambaugh. 1987. Mimicking portfolios and exact arbitrage pricing. Journal of Finance 42: 1–9.CrossRefGoogle Scholar
  43. Ingersoll, J. 1984. Some results in the theory of arbitrage pricing. Journal of Finance 39: 1021–1039.CrossRefGoogle Scholar
  44. Jagannathan, R., and Z. Wang. 1998. An asymptotic theory for estimating beta-pricing models using cross-sectional regression. Journal of Finance 53: 1285–1309.CrossRefGoogle Scholar
  45. Jagannathan, R., and Z. Wang. 2002. Empirical evaluation of asset pricing models: A comparison of the SDF and beta methods. Journal of Finance 57: 2337–2367.CrossRefGoogle Scholar
  46. Jagannathan, R., G. Skoulakis, and Z. Wang. 2002. Generalized method of moments: Applications in finance. Journal of Business and Economic Statistics 20: 470–481.CrossRefGoogle Scholar
  47. Jensen, M. 1968. The performance of mutual funds in the period 1945–1964. Journal of Finance 23: 389–416.CrossRefGoogle Scholar
  48. Jobson, J. 1982. A multivariate linear regression test of the arbitrage pricing theory. Journal of Finance 37: 1037–1042.CrossRefGoogle Scholar
  49. Jobson, J., and B. Korkie. 1982. Potential performance and tests of portfolio efficiency. Journal of Financial Economics 10: 433–466.CrossRefGoogle Scholar
  50. Jobson, J., and B. Korkie. 1985. Some tests of linear asset pricing with multivariate normality. Canadian Journal of Administrative Sciences 2: 114–138.CrossRefGoogle Scholar
  51. Kan, R., and G. Zhou. 2001. Tests of mean-variance spanning. Working paper, Washington University in St Louis.Google Scholar
  52. Lehman, B., and D. Modest. 1988. The empirical foundations of the arbitrage pricing theory. Journal of Financial Economics 21: 213–254.CrossRefGoogle Scholar
  53. Merton, R. 1973. An intertemporal capital asset pricing model. Econometrica 41: 867–887.CrossRefGoogle Scholar
  54. Merton, R. 1981. On market timing and investment performance I: Any equilibrium theory of values for markets forecasts. Journal of Business 54: 363–406.CrossRefGoogle Scholar
  55. Mitchell, M., and T. Pulvino. 2001. Characteristics of risk and return in risk arbitrage. Journal of Finance 56: 2135–2175.CrossRefGoogle Scholar
  56. Pastor, L., and R. Stambaugh. 2000. Comparing asset pricing models: An investment perspective. Journal of Financial Economics 56: 335–381.CrossRefGoogle Scholar
  57. Pastor, L., and R. Stambaugh. 2002. Mutual fund performance and seemingly unrelated assets. Journal of Financial Economics 63: 315–349.CrossRefGoogle Scholar
  58. Peñaranda, F., and E. Sentana. 2004. Spanning tests in return and stochastic discount factor mean-variance frontiers: A unifying approach. Working paper No. 0410. Madrid: CEMFI.Google Scholar
  59. Roll, R., and S. Ross. 1980. An empirical investigation of the arbitrage pricing theory. Journal of Finance 35: 1073–1103.CrossRefGoogle Scholar
  60. Rosenberg, B., K. Reid, and R. Lanstein. 1984. Persuasive evidence of market inefficiency. Journal of Portfolio Management 11: 9–17.CrossRefGoogle Scholar
  61. Ross, S. 1976a. The arbitrage theory of capital asset pricing. Journal of Economic Theory 13: 341–360.CrossRefGoogle Scholar
  62. Ross, S. 1976b. Risk, return and arbitrage. In Risk return in finance, ed. I. Friend and J. Bicksler. Cambridge, MA: Ballinger.Google Scholar
  63. Shanken, J. 1982. The arbitrage pricing theory: Is it testable? Journal of Finance 37: 1129–1240.CrossRefGoogle Scholar
  64. Shanken, J. 1985. A multi-beta CAPM or equilibrium APT?: A reply. Journal of Finance 40: 1189–1196.CrossRefGoogle Scholar
  65. Shanken, J. 1992. On the estimation of beta-pricing models. Review of Financial Studies 5: 1–33.CrossRefGoogle Scholar
  66. Stambaugh, R. 1983. Arbitrage pricing with information. Journal of Financial Economics 12: 357–369.CrossRefGoogle Scholar
  67. Wang, Z. 2005. A shrinkage approach to model uncertainty and asset allocation. Review of Financial Studies 18: 673–705.CrossRefGoogle Scholar
  68. Wang, Z., and X. Zhang. 2005. Empirical evaluation of asset pricing models: Arbitrage and pricing errors over contingent claims. Working paper. Federal Reserve Bank of New York.Google Scholar

Copyright information

© Macmillan Publishers Ltd. 2018

Authors and Affiliations

  • Gur Huberman
    • 1
  • Zhenyu Wang
    • 1
  1. 1.