Adaptive Testing for Alphas in Conditional Factor Models with High Dimensional Assets
Methodology
2023-07-19 v1
Abstract
This paper focuses on testing for the presence of alpha in time-varying factor pricing models, specifically when the number of securities N is larger than the time dimension of the return series T. We introduce a maximum-type test that performs well in scenarios where the alternative hypothesis is sparse. We establish the limit null distribution of the proposed maximum-type test statistic and demonstrate its asymptotic independence from the sum-type test statistics proposed by Ma et al.(2020).Additionally, we propose an adaptive test by combining the maximum-type test and sum-type test, and we show its advantages under various alternative hypotheses through simulation studies and two real data applications.
Cite
@article{arxiv.2307.09397,
title = {Adaptive Testing for Alphas in Conditional Factor Models with High Dimensional Assets},
author = {Huifang MA and Long Feng and Zhaojun Wang},
journal= {arXiv preprint arXiv:2307.09397},
year = {2023}
}