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Evaluating the Specification Errors of Asset Pricing Models

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Robert J. Hodrick
Xiaoyan Zhang

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Abstract

This paper examines the specification errors of several asset pricing models using the methodology of Hansen and Jagannathan (1997) and a common data set. The models are the CAPM, the Consumption CAPM, the Jagannathan and Wang (1996) conditional CAPM, the Campbell (1996) dynamic asset pricing model, the Cochrane (1996) production-based model, and the Fama-French (1993) three-factor and five-factor models. We use returns on the Fama-French twenty-five portfolios sorted by size and book-to-market ratio and the risk-free rate as our test assets. The sample is 1952 to 1997. We allow the parameters of the models' pricing kernels to fluctuate with the business cycle which we measure in two ways. One uses the Hodrick-Prescott (1997) filter applied to either industrial production for monthly models or real GNP for quarterly models. The second approach for quarterly models uses the consumption-wealth measure developed by Lettau and Ludvigson (1999). While we cannot reject correct pricing for Campbell's model, a stability test indicates that the parameters may not be stable. None of the models correctly prices returns that are scaled by the term premium.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 7661.

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Date of creation: Apr 2000
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Handle: RePEc:nbr:nberwo:7661

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Find related papers by JEL classification:
G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
E21 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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  1. Paul Gao & Kevin X.D. Huang, 2004. "Aggregate consumption-wealth ratio and the cross-section of stock returns: some international evidence," Research Working Paper RWP 04-07, Federal Reserve Bank of Kansas City. [Downloadable!]
  2. Belén Nieto & Rosa Rodríguez & Rosa Rodríguez- Barrera, 2002. "The Consumption-Wealth And Book-To-Market Ratios In A Dynamic Asset Pricing Context," Working Papers. Serie EC 2002-24, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  3. Ravi Jagannathan & Zhenyu Wang, 2001. "Empirical Evaluation of Asset Pricing Models: A Comparison of the SDF and Beta Methods," NBER Working Papers 8098, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  4. Paulo Maio, 2007. "ICAPM with time-varying risk aversion," Money Macro and Finance (MMF) Research Group Conference 2006 111, Money Macro and Finance Research Group. [Downloadable!]
  5. Jonathan Fletcher & Patricia Ntozi-Obwale, 2009. "Exploring the Conditional Performance of U.K. Unit Trusts," Journal of Financial Services Research, Springer, vol. 36(1), pages 21-44, August. [Downloadable!] (restricted)
  6. Raymond Kan & Cesare Robotti, 2006. "Specification tests of asset pricing models using excess returns," Working Paper 2006-10, Federal Reserve Bank of Atlanta. [Downloadable!]
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  7. Murillo Campello & Long Chen & Lu Zhang, 2005. "Expected Returns, Yield Spreads, and Asset Pricing Tests," NBER Working Papers 11323, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  8. Li, Qing & Vassalou, Maria & Xing, Yuhang, 2001. "An Investment-Growth Asset Pricing Model," CEPR Discussion Papers 3058, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  9. Yu Ren & Katsumi Shimotsu, 2007. "Improvement in Finite Sample Properties of the Hansen-Jagannathan Distance Test," Working Papers 1126, Queen's University, Department of Economics. [Downloadable!]
    Other versions:
  10. 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. [Downloadable!]
  11. Belén Nieto & Rosa Rodríguez, 2004. "Modelos De Valoracion De Activos Condicionales: Un Panorama Comparativo Con Datos Españoles," Documentos de Trabajo de Economía de la Empresa db040202, Universidad Carlos III, Departamento de Economía de la Empresa. [Downloadable!]
  12. Schrimpf, Andreas & Schröder, Michael & Stehle, Richard, 2006. "Evaluating conditional asset pricing models for the German stock market," ZEW Discussion Papers 06-43, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research. [Downloadable!]
  13. Asgharian, Hossein & Karlsson, Sonnie, 2006. "Evaluating a nonlinear asset pricing model on international data," Working Papers 2006:5, Lund University, Department of Economics.
  14. Belén Nieto & Rosa Rodriguez, 2005. "Modelos de valoración de activos condicionales: Un panorama comparativo," Investigaciones Economicas, Fundación SEPI, vol. 29(1), pages 33-71, January. [Downloadable!]
  15. Raymond Kan & Cesare Robotti, 2007. "Model comparison using the Hansen-Jagannathan distance," Working Paper 2007-04, Federal Reserve Bank of Atlanta. [Downloadable!]
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  16. Dahlquist, Magnus & Sallstrom, Torbjorn, 2002. "An Evaluation of International Asset Pricing Models," CEPR Discussion Papers 3145, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  17. Andrew Ang & Robert J. Hodrick & Yuhang Xing & Xiaoyan Zhang, 2004. "The Cross-Section of Volatility and Expected Returns," NBER Working Papers 10852, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  18. Vassalou, Maria, 2001. "News Related to Future GDP Growth as a Risk Factor in Equity Returns," CEPR Discussion Papers 3057, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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