IDEAS home Printed from https://ideas.repec.org/a/gam/jjrfmx/v17y2024i4p168-d1379260.html
   My bibliography  Save this article

Testing and Ranking of Asset Pricing Models Using the GRS Statistic

Author

Listed:
  • Mark J. Kamstra

    (Schulich School of Business, Room N204-C, York University, 4700 Keele St., Toronto, ON M3J 1P3, Canada
    These authors contributed equally to this work.)

  • Ruoyao Shi

    (Department of Economics, University of California Riverside, 900 University Avenue, Riverside, CA 92521, USA
    These authors contributed equally to this work.)

Abstract

We clear up an ambiguity in the statement of the GRS statistic by providing the correct formula of the GRS statistic and the first proof of its F-distribution in the general multiple-factor case. Casual generalization of the Sharpe-ratio-based interpretation of the single-factor GRS statistic to the multiple-portfolio case makes experts in asset pricing studies susceptible to an incorrect formula. We illustrate the consequences of using the incorrect formulas that the ambiguity in GRS leads to—over-rejecting and misranking asset pricing models. In addition, we suggest a new approach to ranking models using the GRS statistic p -value.

Suggested Citation

  • Mark J. Kamstra & Ruoyao Shi, 2024. "Testing and Ranking of Asset Pricing Models Using the GRS Statistic," JRFM, MDPI, vol. 17(4), pages 1-25, April.
    • Handle: RePEc:gam:jjrfmx:v:17:y:2024:i:4:p:168-:d:1379260
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1911-8074/17/4/168/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1911-8074/17/4/168/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kan, Raymond & Wang, Xiaolu & Zheng, Xinghua, 2024. "In-sample and out-of-sample Sharpe ratios of multi-factor asset pricing models," Journal of Financial Economics, Elsevier, vol. 155(C).
    2. Leite, André Luis & Klotzle, Marcelo Cabus & Pinto, Antonio Carlos Figueiredo & da Silva, Aldo Ferreira, 2018. "Size, value, profitability, and investment: Evidence from emerging markets," Emerging Markets Review, Elsevier, vol. 36(C), pages 45-59.
    3. K. Geert Rouwenhorst, 1999. "Local Return Factors and Turnover in Emerging Stock Markets," Journal of Finance, American Finance Association, vol. 54(4), pages 1439-1464, August.
    4. Fama, Eugene F. & French, Kenneth R., 2015. "A five-factor asset pricing model," Journal of Financial Economics, Elsevier, vol. 116(1), pages 1-22.
    5. repec:bla:jfinan:v:44:y:1989:i:4:p:889-908 is not listed on IDEAS
    6. Frank Kleibergen & Zhaoguo Zhan, 2020. "Robust Inference for Consumption‐Based Asset Pricing," Journal of Finance, American Finance Association, vol. 75(1), pages 507-550, February.
    7. Zaremba, Adam & Czapkiewicz, Anna, 2017. "Digesting anomalies in emerging European markets: A comparison of factor pricing models," Emerging Markets Review, Elsevier, vol. 31(C), pages 1-15.
    8. Eugene F. Fama & Kenneth R. French, 2016. "Dissecting Anomalies with a Five-Factor Model," The Review of Financial Studies, Society for Financial Studies, vol. 29(1), pages 69-103.
    9. Frank Kleibergen & Lingwei Kong & Zhaoguo Zhan, 2023. "Identification Robust Testing of Risk Premia in Finite Samples," Journal of Financial Econometrics, Oxford University Press, vol. 21(2), pages 263-297.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Huber, Daniel & Jacobs, Heiko & Müller, Sebastian & Preissler, Fabian, 2023. "International factor models," Journal of Banking & Finance, Elsevier, vol. 150(C).
    2. Vibhuti Vasishth & Sanjay Sehgal & Gagan Sharma, 2021. "Size Effect in Indian Equity Market: Myth or Reality?," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 28(1), pages 101-119, March.
    3. Adam Zaremba & Jacob Koby Shemer, 2018. "Price-Based Investment Strategies," Springer Books, Springer, number 978-3-319-91530-2, December.
    4. Hanauer, Matthias X. & Kalsbach, Tobias, 2023. "Machine learning and the cross-section of emerging market stock returns," Emerging Markets Review, Elsevier, vol. 55(C).
    5. Mosoeu, Selebogo & Kodongo, Odongo, 2022. "The Fama-French five-factor model and emerging market equity returns," The Quarterly Review of Economics and Finance, Elsevier, vol. 85(C), pages 55-76.
    6. Zaremba, Adam & Karathanasopoulos, Andreas & Maydybura, Alina & Czapkiewicz, Anna & Bagheri, Noushin, 2020. "Dissecting anomalies in Islamic stocks: Integrated or segmented pricing?," Pacific-Basin Finance Journal, Elsevier, vol. 62(C).
    7. Foye, James, 2024. "What Determines Equity Returns in Emerging Markets?," CAFE Working Papers 29, Centre for Accountancy, Finance and Economics (CAFE), Birmingham City Business School, Birmingham City University.
    8. Cakici, Nusret & Zaremba, Adam, 2022. "Salience theory and the cross-section of stock returns: International and further evidence," Journal of Financial Economics, Elsevier, vol. 146(2), pages 689-725.
    9. Yu Wang & Haicheng Shu, 2019. "Evaluating the Performance of Factor Pricing Models for Different Stock Market Trends: Evidence from China," Working Papers 2019-10-10, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
    10. Berggrun, Luis & Cardona, Emilio & Lizarzaburu, Edmundo, 2020. "Firm profitability and expected stock returns: Evidence from Latin America," Research in International Business and Finance, Elsevier, vol. 51(C).
    11. Sanae Ait Jillali & Mohammed Belkasseh, 2023. "IPOs performance evaluation: Which methodology to opt for?," Post-Print halshs-04322482, HAL.
    12. Nilabhra Bhattacharya & Hye Sun Chang & Raluca Chiorean, 2023. "Regulatory interventions in response to noncompliance with mandatory derivatives disclosure rules," Review of Accounting Studies, Springer, vol. 28(4), pages 2196-2232, December.
    13. Shafiqur Rahman & Matthew J. Schneider, 2019. "Tests of Alternative Asset Pricing Models Using Individual Security Returns and a New Multivariate F-Test," Review of Pacific Basin Financial Markets and Policies (RPBFMP), World Scientific Publishing Co. Pte. Ltd., vol. 22(01), pages 1-34, March.
    14. Davi Valladão & Thuener Silva & Marcus Poggi, 2019. "Time-consistent risk-constrained dynamic portfolio optimization with transactional costs and time-dependent returns," Annals of Operations Research, Springer, vol. 282(1), pages 379-405, November.
    15. Cong, Lin William & George, Nathan Darden & Wang, Guojun, 2023. "RIM-based value premium and factor pricing using value-price divergence," Journal of Banking & Finance, Elsevier, vol. 149(C).
    16. Victoria Dobrynskaya, 2017. "Dynamic Momentum and Contrarian Trading," HSE Working papers WP BRP 61/FE/2017, National Research University Higher School of Economics.
    17. Andrew Detzel, 2017. "Monetary Policy Surprises, Investment Opportunities, And Asset Prices," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 40(3), pages 315-348, September.
    18. Sina Ehsani & Juhani T. Linnainmaa, 2019. "Factor Momentum and the Momentum Factor," NBER Working Papers 25551, National Bureau of Economic Research, Inc.
    19. Poon, Percy & Yao, Tong & Zhang, Andrew (Jianzhong), 2022. "The alphas of beta and idiosyncratic volatility," Journal of Financial Markets, Elsevier, vol. 61(C).
    20. Lin, Qi, 2022. "Understanding idiosyncratic momentum in the Chinese stock market," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 76(C).

    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:gam:jjrfmx:v:17:y:2024:i:4:p:168-:d:1379260. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.