IDEAS home Printed from https://ideas.repec.org/a/oup/jfinec/v21y2023i4p1258-1281..html
   My bibliography  Save this article

Empirical Asset Pricing with Functional Factors

Author

Listed:
  • Philip Nadler
  • Alessio Sancetta

Abstract

We propose a methodology to use functional factors in empirical asset pricing models. We establish conditions under which it is possible to recover linear beta pricing. The proposed estimation approach allows us to use high-dimensional functional curves, such as the term structure of interest rates or the implied volatility smile, as factors. This framework enables the estimation of functional factor loadings as well as risk premium parameters of factor models. We derive estimation algorithms and establish the asymptotic consistency and normality of the parameter estimates. In an empirical application, we show that the implied variance smile of the S&P500 is a potential pricing factor for momentum-sorted portfolios. In particular, a positive risk premium is earned by the convexity of the implied variance curve.

Suggested Citation

  • Philip Nadler & Alessio Sancetta, 2023. "Empirical Asset Pricing with Functional Factors," Journal of Financial Econometrics, Oxford University Press, vol. 21(4), pages 1258-1281.
    • Handle: RePEc:oup:jfinec:v:21:y:2023:i:4:p:1258-1281.
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1093/jjfinec/nbac003
    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.

    References listed on IDEAS

    as
    1. Harrison Hong & Terence Lim & Jeremy C. Stein, 2000. "Bad News Travels Slowly: Size, Analyst Coverage, and the Profitability of Momentum Strategies," Journal of Finance, American Finance Association, vol. 55(1), pages 265-295, February.
    2. Damiano Brigo & Fabio Mercurio, 2002. "Lognormal-Mixture Dynamics And Calibration To Market Volatility Smiles," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 5(04), pages 427-446.
    3. Piotr Kokoszka & Hong Miao & Xi Zhang, 2015. "Functional Dynamic Factor Model for Intraday Price Curves," Journal of Financial Econometrics, Oxford University Press, vol. 13(2), pages 456-477.
    4. Ramsay, James O. & Ramsey, James B., 2002. "Functional data analysis of the dynamics of the monthly index of nondurable goods production," Journal of Econometrics, Elsevier, vol. 107(1-2), pages 327-344, March.
    5. Johnstone, Iain M. & Lu, Arthur Yu, 2009. "On Consistency and Sparsity for Principal Components Analysis in High Dimensions," Journal of the American Statistical Association, American Statistical Association, vol. 104(486), pages 682-693.
    6. X. Frank Zhang, 2006. "Information Uncertainty and Stock Returns," Journal of Finance, American Finance Association, vol. 61(1), pages 105-137, February.
    7. Piotr Kokoszka & Hong Miao & Matthew Reimherr & Bahaeddine Taoufik, 2018. "Dynamic Functional Regression with Application to the Cross-section of Returns," Journal of Financial Econometrics, Oxford University Press, vol. 16(3), pages 461-485.
    8. Roman Kozhan & Anthony Neuberger & Paul Schneider, 2013. "The Skew Risk Premium in the Equity Index Market," The Review of Financial Studies, Society for Financial Studies, vol. 26(9), pages 2174-2203.
    9. Kargin, V. & Onatski, A., 2008. "Curve forecasting by functional autoregression," Journal of Multivariate Analysis, Elsevier, vol. 99(10), pages 2508-2526, November.
    10. 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.
    11. Barroso, Pedro & Santa-Clara, Pedro, 2015. "Momentum has its moments," Journal of Financial Economics, Elsevier, vol. 116(1), pages 111-120.
    12. Corte, Pasquale Della & Kozhan, Roman & Neuberger, Anthony, 2021. "The cross-section of currency volatility premia," Journal of Financial Economics, Elsevier, vol. 139(3), pages 950-970.
    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. Adam Zaremba & Jacob Koby Shemer, 2018. "Price-Based Investment Strategies," Springer Books, Springer, number 978-3-319-91530-2, January.
    2. Tobias Wiest, 2023. "Momentum: what do we know 30 years after Jegadeesh and Titman’s seminal paper?," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 37(1), pages 95-114, March.
    3. Ahmad, Khurshid & Han, JingGuang & Hutson, Elaine & Kearney, Colm & Liu, Sha, 2016. "Media-expressed negative tone and firm-level stock returns," Journal of Corporate Finance, Elsevier, vol. 37(C), pages 152-172.
    4. Weber, Martin & Jacobs, Heiko & Regele, Tobias, 2015. "Expected Skewness and Momentum," CEPR Discussion Papers 10601, C.E.P.R. Discussion Papers.
    5. Nick Inglis & Bruce Vanstone & Tobias Hahn, 2019. "Modelling momentum winner/loser asymmetry: the sources of winner and loser returns in the ASX200 and S&P500," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 59(S1), pages 657-684, April.
    6. Goetzmann, William N. & Huang, Simon, 2018. "Momentum in Imperial Russia," Journal of Financial Economics, Elsevier, vol. 130(3), pages 579-591.
    7. Jiaqi Guo & Peng Li & Youwei Li, 2022. "What Can Explain Momentum? Evidence from Decomposition," Management Science, INFORMS, vol. 68(8), pages 6184-6218, August.
    8. Huang, Alex YiHou, 2024. "Mechanisms of overpricing: An investigation on momentum crashes," International Review of Economics & Finance, Elsevier, vol. 89(PA), pages 118-142.
    9. Ming Gu & Minxing Sun & Yangru Wu & Weike Xu, 2021. "Economic policy uncertainty and momentum," Financial Management, Financial Management Association International, vol. 50(1), pages 237-259, March.
    10. Stephen A. Gorman & Frank J. Fabozzi, 2021. "The ABC’s of the alternative risk premium: academic roots," Journal of Asset Management, Palgrave Macmillan, vol. 22(6), pages 405-436, October.
    11. Pätäri, Eero & Karell, Ville & Luukka, Pasi & Yeomans, Julian S, 2018. "Comparison of the multicriteria decision-making methods for equity portfolio selection: The U.S. evidence," European Journal of Operational Research, Elsevier, vol. 265(2), pages 655-672.
    12. Li, Frank Weikai & Sun, Chengzhu, 2022. "Information acquisition and expected returns: Evidence from EDGAR search traffic," Journal of Economic Dynamics and Control, Elsevier, vol. 141(C).
    13. Ben R. Marshall & Nhut H. Nguyen & Nuttawat Visaltanachoti, 2017. "Time series momentum and moving average trading rules," Quantitative Finance, Taylor & Francis Journals, vol. 17(3), pages 405-421, March.
    14. Lin, Chaonan & Ko, Kuan-Cheng & Lin, Lin & Yang, Nien-Tzu, 2017. "Price limits and the value premium in the Taiwan stock market," Pacific-Basin Finance Journal, Elsevier, vol. 41(C), pages 26-45.
    15. Vitor Azevedo & Christopher Hoegner, 2023. "Enhancing stock market anomalies with machine learning," Review of Quantitative Finance and Accounting, Springer, vol. 60(1), pages 195-230, January.
    16. Yuan Wu & Taufiq Choudhry, 2018. "Information Uncertainty and Momentum Phenomenon Amidst Market Swings: Evidence From the Chinese Class A Share Market," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 25(2), pages 111-136, June.
    17. Zhu, Zhaobo & Duan, Xinrui & Sun, Licheng & Tu, Jun, 2019. "Momentum and reversal: The role of short selling," Journal of Economic Dynamics and Control, Elsevier, vol. 104(C), pages 95-110.
    18. Ahmed, Mohamed S. & Alhadab, Mohammad, 2020. "Momentum, asymmetric volatility and idiosyncratic risk-momentum relation: Does technology-sector matter?," The Quarterly Review of Economics and Finance, Elsevier, vol. 78(C), pages 355-371.
    19. Theissen, Erik & Yilanci, Can, 2020. "Momentum? What Momentum?," CFR Working Papers 20-09, University of Cologne, Centre for Financial Research (CFR).
    20. Sina Badreddine & Ephraim Clark, 2021. "The asymmetric effects of industry specific volatility in momentum returns," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(4), pages 6444-6458, October.

    More about this item

    Keywords

    bootstrap; functional data analysis; functional risk premium; implied volatility curve;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General

    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:21:y:2023:i:4:p:1258-1281.. 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: 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.