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Empirical evaluation of asset pricing models: Arbitrage and pricing errors in contingent claims

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  • Wang, Zhenyu
  • Zhang, Xiaoyan

Abstract

Hansen and Jagannathan (1997) have developed two measures of pricing errors for asset-pricing models: the maximum pricing error in all static portfolios of the test assets and the maximum pricing error in all contingent claims of the assets. In this paper, we develop simulation-based Bayesian inference for these measures. While the literature reports that the time-varying extensions substantially reduce pricing errors of classic models on the standard test assets, our analysis shows that the reduction is much smaller based on the second measure. Those time-varying models have large pricing errors on the contingent claims of the test assets because their stochastic discount factors are often negative and admit arbitrage opportunities.

Suggested Citation

  • Wang, Zhenyu & Zhang, Xiaoyan, 2012. "Empirical evaluation of asset pricing models: Arbitrage and pricing errors in contingent claims," Journal of Empirical Finance, Elsevier, vol. 19(1), pages 65-78.
    • Handle: RePEc:eee:empfin:v:19:y:2012:i:1:p:65-78
    DOI: 10.1016/j.jempfin.2011.11.001
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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. Abel, Andrew B, 1990. "Asset Prices under Habit Formation and Catching Up with the Joneses," American Economic Review, American Economic Association, vol. 80(2), pages 38-42, May.
    3. Jagannathan, Ravi & Wang, Zhenyu, 1996. "The Conditional CAPM and the Cross-Section of Expected Returns," Journal of Finance, American Finance Association, vol. 51(1), pages 3-53, March.
    4. Douglas T. Breeden & Michael R Gibbons & Robert H. Litzenberger, "undated". "Empirical Tests of the Consumption-Oriented CAPM," Rodney L. White Center for Financial Research Working Papers 07-89, Wharton School Rodney L. White Center for Financial Research.
    5. Guasoni, Paolo & Huberman, Gur & Wang, Zhenyu, 2011. "Performance maximization of actively managed funds," Journal of Financial Economics, Elsevier, vol. 101(3), pages 574-595, September.
    6. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    7. Hansen, Lars Peter & Heaton, John & Luttmer, Erzo G J, 1995. "Econometric Evaluation of Asset Pricing Models," The Review of Financial Studies, Society for Financial Studies, vol. 8(2), pages 237-274.
    8. Hodrick, Robert J. & Zhang, Xiaoyan, 2001. "Evaluating the specification errors of asset pricing models," Journal of Financial Economics, Elsevier, vol. 62(2), pages 327-376, November.
    9. Breeden, Douglas T & Gibbons, Michael R & Litzenberger, Robert H, 1989. " Empirical Tests of the Consumption-Oriented CAPM," Journal of Finance, American Finance Association, vol. 44(2), pages 231-262, June.
    10. Kirby, Chris, 1997. "Measuring the Predictable Variation in Stock and Bond Returns," The Review of Financial Studies, Society for Financial Studies, vol. 10(3), pages 579-630.
    11. Bansal, Ravi & Viswanathan, S, 1993. "No Arbitrage and Arbitrage Pricing: A New Approach," Journal of Finance, American Finance Association, vol. 48(4), pages 1231-1262, September.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Daniel, Kent & Titman, Sheridan, 1997. "Evidence on the Characteristics of Cross Sectional Variation in Stock Returns," Journal of Finance, American Finance Association, vol. 52(1), pages 1-33, March.
    17. Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-1286, September.
    18. 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.
    19. 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.
    20. Fama, Eugene F. & French, Kenneth R., 1997. "Industry costs of equity," Journal of Financial Economics, Elsevier, vol. 43(2), pages 153-193, February.
    21. 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.
    22. Li, Haitao & Xu, Yuewu & Zhang, Xiaoyan, 2010. "Evaluating asset pricing models using the second Hansen-Jagannathan distance," Journal of Financial Economics, Elsevier, vol. 97(2), pages 279-301, August.
    23. 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.
    24. 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 233-251, April.
    25. 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.
    26. 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.
    27. 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.
    28. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    29. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    30. Ferson, Wayne E. & Foerster, Stephen R., 1994. "Finite sample properties of the generalized method of moments in tests of conditional asset pricing models," Journal of Financial Economics, Elsevier, vol. 36(1), pages 29-55, August.
    31. 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.
    32. Douglas T. Breeden & Michael R Gibbons & Robert H. Litzenberger, "undated". "Empirical Tests of the Consumption-Oriented CAPM," Rodney L. White Center for Financial Research Working Papers 7-89, Wharton School Rodney L. White Center for Financial Research.
    33. Fung, William & Hsieh, David A, 1997. "Empirical Characteristics of Dynamic Trading Strategies: The Case of Hedge Funds," The Review of Financial Studies, Society for Financial Studies, vol. 10(2), pages 275-302.
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    Cited by:

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    3. J. Davies & Jonathan Fletcher & Andrew Marshall, 2015. "Testing index-based models in U.K. stock returns," Review of Quantitative Finance and Accounting, Springer, vol. 45(2), pages 337-362, August.
    4. Sangwon Suh & Wonho Song & Bong-Soo Lee, 2014. "A new method for forming asset pricing factors from firm characteristics," Applied Economics, Taylor & Francis Journals, vol. 46(28), pages 3463-3482, October.

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    More about this item

    Keywords

    Bayesian inference; Asset pricing; Pricing errors; Model comparison; Contingent claims;
    All these keywords.

    JEL classification:

    • G1 - Financial Economics - - General Financial Markets
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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