IDEAS home Printed from https://ideas.repec.org/a/oup/jfinec/v16y2018i2p191-210..html
   My bibliography  Save this article

Testing High-Dimensional Linear Asset Pricing Models

Author

Listed:
  • Wei Lan
  • Long Feng
  • Ronghua Luo

Abstract

We propose in this article a new procedure, based on random projections, for testing widely used linear asset pricing models (Sharpe, 1964; Linter, 1965; Fama and French, 1993). This new testing procedure is particularly suitable when the number of assets N is much larger than the number of observations T, and outperforms the existing methods by admitting the covariance matrix of the idiosyncratic term to be nonsparse. Under some mild conditions, we show theoretically that the test statistic is asymptotically normal as long as min⁡{N,T} goes to infinity. The finite sample performance is investigated by extensive Monte Carlo experiments. The practical utility of the new testing procedure is further justified by treating the U.S. stock market. Employing this new testing procedure, we found that the Fama–French (FF) three-factor model (Fama and French, 1993) is better than the capital asset pricing model (Sharpe, 1964) in explaining the mean–variance efficiency of the U.S. stock market.

Suggested Citation

  • Wei Lan & Long Feng & Ronghua Luo, 2018. "Testing High-Dimensional Linear Asset Pricing Models," Journal of Financial Econometrics, Oxford University Press, vol. 16(2), pages 191-210.
    • Handle: RePEc:oup:jfinec:v:16:y:2018:i:2:p:191-210.
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1093/jjfinec/nby002
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. M Hashem Pesaran & Takashi Yamagata, 2024. "Testing for Alpha in Linear Factor Pricing Models with a Large Number of Securities," Journal of Financial Econometrics, Oxford University Press, vol. 22(2), pages 407-460.
    2. M Hashem Pesaran & Takashi Yamagata, 2024. "Testing for Alpha in Linear Factor Pricing Models with a Large Number of Securities," Journal of Financial Econometrics, Oxford University Press, vol. 22(2), pages 407-460.

    More about this item

    Keywords

    high-dimensional data; linear pricing model; market efficiency; random projection;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:oup:jfinec:v:16:y:2018:i:2:p:191-210.. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Oxford University Press (email available below). General contact details of provider: https://edirc.repec.org/data/sofieea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.