Specification LASSO and a Flexible Characteristics-Based Asset Pricing Model

Abstract

This paper studies a partially linear semiparametric additive model that allows for interactions among variables in high-dimensional settings. We propose the Specification LASSO (S-LASSO), a two-step method that integrates LASSO and Adaptive Group LASSO to simultaneously perform variable selection and model specification. Theoretically, we establish that S-LASSO possesses oracle properties in terms of selection consistency and asymptotic normality. Monte Carlo simulations confirm that S-LASSO outperforms existing alternatives across a variety of scenarios. Empirically, we apply S-LASSO to a characteristics-based asset pricing model, exploring the linear and nonlinear effects of asset-specific characteristics on cross-sectional returns, as well as their interactions with firm size.