Dynamic functional regression with application to the cross-section of returns
Date
2017-08-28
Authors
Kokoszka, Piotr, author
Miao, Hong, author
Reimherr, Matthew, author
Taoufik, Bahaeddine, author
Journal of Financial Econometrics, publisher
Journal Title
Journal ISSN
Volume Title
Abstract
Motivated by testing the significance of risk factors for a cross-section of returns, we develop an inferential framework which involves function-on-scalar regression. Asymptotic theory is developed assuming the factors form a weakly dependent vector-valued time series, and the regression errors are weakly dependent functions. To accommodate the empirical behavior of the cross-section of returns and of the factors, we allow both the factors and the error functions can exhibit mild departures from stationarity. This requires new asymptotic theory which leads to several tests for the significance of function-valued regression coefficients. The new approach to the study of the significance of risk factors for a cross-section of returns complements the established Fama–French approach based on portfolio construction. It is more suitable if the statistical significance of the risk factors is to be rigorously controlled.
Description
Includes bibliographical references (pages 28-30).
Published as: Journal of Financial Econometrics, vol. 16, no. 3, pp. 461-485, Summer 2018, https://doi.org/10.1093/jjfinec/nbx027
Published as: Journal of Financial Econometrics, vol. 16, no. 3, pp. 461-485, Summer 2018, https://doi.org/10.1093/jjfinec/nbx027
Rights Access
Subject
cross-section of returns
functional regression
weak dependence
time series
Hilbert space