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Improvement in finite sample properties of the Hansen-Jagannathan distance test

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  • Ren, Yu
  • Shimotsu, Katsumi

Abstract

Jagannathan and Wang [Jagannthan, R., and Wang, Z., "The conditional CAPM and the cross-section of expected returns." Journal of Finance, 51 (1996), 3-53] derive the asymptotic distribution of the Hansen-Jagannathan distance (HJ-distance) proposed by Hansen and Jagannathan [Hansen, L.P., and Jagannathan, R., Assessing specific errors in stochastic discount factor models." Journal of Finance, 52 (1997), 557-590], and develop a specification test of asset pricing models based on the HJ-distance. While the HJ-distance has several desirable properties, Ahn and Gadarowski [Ahn, S.C., and Gadarowski, C., "Small sample properties of the GMM specification test based on the Hansen-Jagannathan distance." Journal of Empirical Finance, 11 (2004), 109-132] find that the specification test based on the HJ-distance overrejects correct models too severely in commonly used sample size to provide a valid test. This paper proposes to improve the finite sample properties of the HJ-distance test by applying the shrinkage method [Ledoit, O., and Wolf, M., "Improved estimation of the covariance matrix of stock returns with an application to portfolio selection." Journal of Empirical Finance, 10 (2003), 603-621] to compute its weighting matrix. The proposed method improves the finite sample performance of the HJ-distance test significantly.

Suggested Citation

  • Ren, Yu & Shimotsu, Katsumi, 2009. "Improvement in finite sample properties of the Hansen-Jagannathan distance test," Journal of Empirical Finance, Elsevier, vol. 16(3), pages 483-506, June.
    • Handle: RePEc:eee:empfin:v:16:y:2009:i:3:p:483-506
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    Cited by:

    1. Olivier Ledoit & Michael Wolf, 2019. "The power of (non-)linear shrinking: a review and guide to covariance matrix estimation," ECON - Working Papers 323, Department of Economics - University of Zurich, revised Feb 2020.
    2. Pasquale Della Corte & Steven J. Riddiough & Lucio Sarno, 2016. "Currency Premia and Global Imbalances," The Review of Financial Studies, Society for Financial Studies, vol. 29(8), pages 2161-2193.
    3. Colacito, Riccardo & Riddiough, Steven J. & Sarno, Lucio, 2020. "Business cycles and currency returns," Journal of Financial Economics, Elsevier, vol. 137(3), pages 659-678.
    4. Ikeda, Yuki & Kubokawa, Tatsuya, 2016. "Linear shrinkage estimation of large covariance matrices using factor models," Journal of Multivariate Analysis, Elsevier, vol. 152(C), pages 61-81.
    5. Yuki Ikeda & Tatsuya Kubokawa, 2015. "Linear Shrinkage Estimation of Large Covariance Matrices with Use of Factor Models," CIRJE F-Series CIRJE-F-958, CIRJE, Faculty of Economics, University of Tokyo.
    6. Qihui Chen & Yu Ren, 2013. "Improvement in finite-sample properties of GMM-based Wald tests," Computational Statistics, Springer, vol. 28(2), pages 735-749, April.
    7. repec:wyi:journl:002162 is not listed on IDEAS
    8. Romano, Joseph P. & Wolf, Michael, 2013. "Testing for monotonicity in expected asset returns," Journal of Empirical Finance, Elsevier, vol. 23(C), pages 93-116.
    9. Pasquale Della Corte & Steven J. Riddiough & Lucio Sarno, 2016. "Currency Premia and Global Imbalances," Review of Financial Studies, Society for Financial Studies, vol. 29(8), pages 2161-2193.

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    More about this item

    Keywords

    Covariance matrix estimation Factor models Finite sample properties Hansen-Jagannathan distance Shrinkage method;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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