Robust inference in linear asset pricing models
AbstractWe derive new results on the asymptotic behavior of the estimated parameters of a linear asset pricing model and their associated t-statistics in the presence of a factor that is independent of the returns. The inclusion of this "useless" factor in the model leads to a violation of the full rank (identification) condition and renders the inference nonstandard. We show that the estimated parameter associated with the useless factor diverges with the sample size but the misspecification-robust t-statistic is still well-behaved and has a standard normal limiting distribution. The asymptotic distributions of the estimates of the remaining parameters and the model specification test are also affected by the presence of a useless factor and are nonstandard. We propose a robust and easy-to-implement model selection procedure that restores the standard inference on the parameters of interest by identifying and removing the factors that do not contribute to improved pricing. The finite-sample properties of our asymptotic approximations and the practical relevance of our results are illustrated using simulations and an empirical application.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Federal Reserve Bank of Atlanta in its series Working Paper with number 2012-17.
Date of creation: 2012
Date of revision:
This paper has been announced in the following NEP Reports:
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- Jushan Bai & Serena Ng, 2000.
"Determining the Number of Factors in Approximate Factor Models,"
Boston College Working Papers in Economics
440, Boston College Department of Economics.
- Jushan Bai & Serena Ng, 2002. "Determining the Number of Factors in Approximate Factor Models," Econometrica, Econometric Society, vol. 70(1), pages 191-221, January.
- Jushan Bai & Serena Ng, 2000. "Determining the Number of Factors in Approximate Factor Models," Econometric Society World Congress 2000 Contributed Papers 1504, Econometric Society.
- Kan, Raymond & Robotti, Cesare, 2008.
"Specification tests of asset pricing models using excess returns,"
Journal of Empirical Finance,
Elsevier, vol. 15(5), pages 816-838, December.
- Raymond Kan & Cesare Robotti, 2006. "Specification tests of asset pricing models using excess returns," Working Paper 2006-10, Federal Reserve Bank of Atlanta.
- Sydney C. Ludvigson & Serena Ng, 2005.
"The Empirical Risk-Return Relation: A Factor Analysis Approach,"
NBER Working Papers
11477, National Bureau of Economic Research, Inc.
- Ludvigson, Sydney C. & Ng, Serena, 2007. "The empirical risk-return relation: A factor analysis approach," Journal of Financial Economics, Elsevier, vol. 83(1), pages 171-222, January.
- Sydney Ludvigson & Serena Ng, 2006. "The Empirical Risk-Return Relation: a factor analysis approach," 2006 Meeting Papers 236, Society for Economic Dynamics.
- Hanno Lustig & Adrien Verdelhan, 2007.
"The Cross Section of Foreign Currency Risk Premia and Consumption Growth Risk,"
American Economic Review,
American Economic Association, vol. 97(1), pages 89-117, March.
- Adrien Verdelhan & Hanno Lustig, 2005. "The Cross-Section Of Foreign Currency Risk Premia And Consumption Growth Risk," Boston University - Department of Economics - Working Papers Series WP2005-019, Boston University - Department of Economics.
- Lustig, H. & Verdelhan, A., 2006. "The Cross-Section of Foreign Currency Risk Premia and Consumption Growth Risk," Working papers 155, Banque de France.
- Hanno Lustig & Adrien Verdelhan, 2006. "The Cross-Section of Foreign Currency Risk Premia and Consumption Growth Risk," Boston University - Department of Economics - Working Papers Series WP2006-045, Boston University - Department of Economics.
- Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July.
- 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.
- Sydney C. Ludvigson & Serena Ng, 2009.
"Macro Factors in Bond Risk Premia,"
Review of Financial Studies,
Society for Financial Studies, vol. 22(12), pages 5027-5067, December.
- Stock J.H. & Watson M.W., 2002. "Forecasting Using Principal Components From a Large Number of Predictors," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 1167-1179, December.
- Motohiro Yogo, 2006. "A Consumption-Based Explanation of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 61(2), pages 539-580, 04.
- James H. Stock & Mark W. Watson, 2005. "Implications of Dynamic Factor Models for VAR Analysis," NBER Working Papers 11467, National Bureau of Economic Research, Inc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Meredith Rector).
If references are entirely missing, you can add them using this form.