Asset Pricing Models: Specification, Data and Theoretical Foundation



The author surveys and discusses linear asset pricing models with the intent to identify some sets of variables or factors with reduced dimensionality to approximate the core or pricing kernel of asset returns. A theoretical foundation may start with discussion on factor pricing models where asset returns are projected onto some lower-dimensional sets of factors that possibly explain the major variations of asset returns. The aim is to identify major determinants for the fluctuations of asset returns where these determinants satisfy some systematic properties that ensure their indispensable roles.


  1. Bai, J. 2003. Inferential Theory for Factor Models of Large Dimensions. Econometrica 71: 135–171.CrossRefGoogle Scholar
  2. Bai, J., and S. Ng. 2002. Determining the Numbers of Factors in Approximate Factor Models. Econometrica 70: 191–221.CrossRefGoogle Scholar
  3. Barberis, N. 2000. Investing for the Long Run when Returns Are Predictable. Journal of Finance 55: 225–264.CrossRefGoogle Scholar
  4. Bekaert, G., and R.J. Hodrick. 1992. Characterizing Predictable Components in Excess Returns on Equity and Foreign Exchange Markets. Journal of Finance 47: 467–509.CrossRefGoogle Scholar
  5. Bossaerts, P., and P. Hillion. 1999. Implementing Statistical Criteria to Select Return Forecasting Models: What Do We Learn? Review of Financial Studies 12: 405–428.CrossRefGoogle Scholar
  6. Boudoukh, J., M.P. Richardson, and R.F. Whitelaw. 1994. A Tale of Three Schools: Insights of Autocorrelations of Short-Horizon Stock Returns. Review of Financial Studies, 7: 539–573.CrossRefGoogle Scholar
  7. Campbell, J.Y., and S.B. Thompson. 2008. Predicting Excess Stock Returns Out of Sample: Can Anything Beat the Historical Average? Review of Financial Studies 21: 1509–1531.CrossRefGoogle Scholar
  8. Chamberlain, G. 1983. Funds, Factors, and Diversification in Arbitrage Pricing Models. Econometrica 51: 1305–1323.CrossRefGoogle Scholar
  9. Chamberlain, G., and M. Rothschild. 1983. Arbitrage, Factor Structure, and Mean-Variance Analysis on Large Asset Markets. Econometrica 51: 1281–1304.CrossRefGoogle Scholar
  10. Chen, N.-F., R. Roll, and S.A. Ross. 1986. Economic Forces and the Stock Market. Journal of Business 59: 383–403.CrossRefGoogle Scholar
  11. Clements, M.P., and D.F. Hendry. 1999. Forecasting Non-stationary Economic Time Series. Cambridge: MIT Press.Google Scholar
  12. Cooper M., and H. Gulen. 2006. Is Time-Series-Based Predictability Evident in Real Time? Journal of Business 79: 1263–1292.CrossRefGoogle Scholar
  13. Cooper M., R.C. Gutierrez Jr., and B. Marcum. 2005. On the Predictability of Stock Returns in Real Time. Journal of Business 78: 469–489.CrossRefGoogle Scholar
  14. Deetz, M., T. Poddig, I. Sidorovitch, and A. Varmaz. 2009. An Evaluation of Conditional Multi-Factor Models in Active Asset Allocation Strategies: An Empirical Study for the German Stock Market. Financial Markets and Portfolio Management 23: 285–313.CrossRefGoogle Scholar
  15. Fama, E.F., and K.R. French. 1992. The Cross-Section of Expected Stock Returns. Journal of Finance, 47: 427–465.CrossRefGoogle Scholar
  16. Fama, E.F., and K.R. French. 1995. Size and Book-to-Market Factors in Earnings and Returns. Journal of Finance 50: 131–155.CrossRefGoogle Scholar
  17. Fama, E.F., and K.R. French. 1996. Multifactor Explanations of Asset Pricing Anomalies. Journal of Finance 51: 55–84.CrossRefGoogle Scholar
  18. Fama, E.F., and J.D. MacBeth. 1973. Risk, Return and Equilibrium: Empirical Tests. Journal of Political Economy 81: 607–636.CrossRefGoogle Scholar
  19. Ferson, W.E., and C.R. Harvey. 1991. The Variation of Economic Risk Premiums. Journal of Political Economy 99: 385–415.CrossRefGoogle Scholar
  20. Ferson, W., and R.A. Korajczyk. 1995. Do Arbitrage Pricing Models Explain the Predictability of Stock Returns? Journal of Business 68: 309–349.CrossRefGoogle Scholar
  21. Ferson, W.E., S. Sarkissian, and T. Simin. 2003. Spurious Regressions in Financial Economics. Journal of Finance 58: 1393–1413.CrossRefGoogle Scholar
  22. Giacomini, R., and H. White. 2006. Tests of Conditional Predictive Ability. Econometrica 74: 1545–1578.CrossRefGoogle Scholar
  23. Granger, C.W.J., and F. Marmol. 1998. The Correlogram of a Long Memory Process Plus a Simple Noise, Discussion Paper, 97-29. University of California, San Diego.Google Scholar
  24. Granger, C.W.J., and P. Newbold. 1974. Spurious Regressions in Economics. Journal of Econometrics 4: 111–120.CrossRefGoogle Scholar
  25. Grinblatt, M., and S. Titman. 1985. Approximate Factor Structures: Interpretations and Implications for Empirical Tests. Journal of Finance 40: 1367–1373.CrossRefGoogle Scholar
  26. He, J., and K.K. Ng. 1994. Economic Forces, Fundamental Variables, and Equity Returns. Journal of Business 67: 599–609.CrossRefGoogle Scholar
  27. Koopmans, T.C. 1947. Measurement Without Theory. Review of Economics and Statistics 29: 161–172.CrossRefGoogle Scholar
  28. Kirby, C. 1998. The Restrictions on Predictability Implied by Rational Asset Pricing Models. Review of Financial Studies 11: 343–382.CrossRefGoogle Scholar
  29. Lettau, M., and S. Ludvigson. 2001. Consumption, Aggregate Wealth, and Expected Stock Returns. Journal of Finance 56: 815–849.CrossRefGoogle Scholar
  30. Lewellen, J., S. Nagel, and J. Shanken. 2010. A Skeptical Appraisal of Asset Pricing Tests. Journal of Financial Economics 96: 175–194.CrossRefGoogle Scholar
  31. Lo, A.W., and A.C. MacKinlay. 1990. Data Snooping Biases in Tests of Financial Asset Pricing Models. Review of Financial Studies 3: 431–467.CrossRefGoogle Scholar
  32. Petkova, R. 2006. Do the Fama-French Factors Proxy for Innovations in Predictive Variables? Journal of Finance 61: 581–621.CrossRefGoogle Scholar
  33. Pettit, R.R., and R. Westerfield. 1974. Using the Capital Asset Pricing Model and the Market Model to Predict Security Returns. Journal of Financial and Quantitative Analysis 9: 579–605.CrossRefGoogle Scholar
  34. Rapach, D.E., J.K. Strauss, and G. Zhou. 2010. Out-of-Sample Equity Premium Prediction: Combination Forecasts and Links to the Real Economy. Review of Financial Studies 23: 821–862.CrossRefGoogle Scholar
  35. Reisman, H. 1988. A General Approach to the Arbitrage Pricing Theory. Econometrica 56: 473–476.CrossRefGoogle Scholar
  36. Reisman, H. 1992. Reference Variables, Factor Structure, and the Approximate Multibeta Representation. Journal of Finance 47: 1303–1314.CrossRefGoogle Scholar
  37. Ross, S.A. 1976. The Arbitrage Theory of Capital Asset Pricing. Journal of Economic Theory 13: 341–360.CrossRefGoogle Scholar
  38. Rust, J. 2014: The Limits of Inference with Theory: A Review of Wolpin (2013). Journal of Economic Literature 52: 820–850.CrossRefGoogle Scholar
  39. Shmueli, G. 2010. To Explain or to Predict? Statistical Science 25: 289–310.CrossRefGoogle Scholar
  40. Simin, T. 2008. The Poor Predictive Performance of Asset Pricing Models. Journal of Financial and Quantitative Analysis 43: 366–380.CrossRefGoogle Scholar
  41. Torous, W., R. Valkanov, and S. Yan. 2004. On Predicting Stock Returns with Nearly Integrated Explanatory Variables. Journal of Business 77: 937–966.CrossRefGoogle Scholar
  42. Welch, I., and A. Goyal. 2008. A Comprehensive Look at the Empirical Performance of Equity Premium Prediction. Review of Financial Studies 21: 1455–1508.CrossRefGoogle Scholar
  43. Wolpin, K.I. 2013. The Limits of Inference Without Theory. Cambridge: MIT Press.Google Scholar
  44. Yule, G.U. 1926. Why Do We Sometimes Get Nonsense Correlations Between Time Series? A Study in Sampling and the Nature of Time Series. Journal of the Royal Statistical Society 89: 1–63.CrossRefGoogle Scholar

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© The Author(s) 2018

Authors and Affiliations

  1. 1.School of Business and ManagementAzusa Pacific UniversityStevenson RanchUSA

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