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We find that the CAPM fails to explain the small firm effect even if its non-parametric form is used which allows time-varying risk and non-linearity in the pricing function. Furthermore, the linearity of the CAPM can be rejected, thus the…

Pricing of Securities · Quantitative Finance 2017-03-29 Peter Erdos , Mihaly Ormos , David Zibriczky

Statistical arbitrage exploits temporal price differences between similar assets. We develop a framework to jointly identify similar assets through factors, identify mispricing and form a trading policy that maximizes risk-adjusted…

Machine Learning · Computer Science 2025-10-14 Elliot L. Epstein , Rose Wang , Jaewon Choi , Markus Pelger

We consider a conditional factor model for a multivariate portfolio of United States equities in the context of analysing a statistical arbitrage trading strategy. A state space framework underlies the factor model whereby asset returns are…

Statistical Finance · Quantitative Finance 2023-09-06 Trent Spears , Stefan Zohren , Stephen Roberts

The risk premia of traded factors are the sum of factor means and a parameter vector we denote by {\phi} which is identified from the cross section regression of alpha of individual securities on the vector of factor loadings. If phi is…

Econometrics · Economics 2024-10-23 M. Hashem Pesaran , Ron P. Smith

We show that the higher-order terms and interactions of the common sparse linear factors are significantly priced in the cross-section of equity returns. A higher-order model with only a small number of selected higher-order terms from six…

Econometrics · Economics 2026-03-25 Nicola Borri , Denis Chetverikov , Yukun Liu , Aleh Tsyvinski

We propose a new pseudo-Siamese Network for Asset Pricing (SNAP) model, based on deep learning approaches, for conditional asset pricing. Our model allows for the deep alpha, deep beta and deep factor risk premia conditional on high…

Computational Finance · Quantitative Finance 2025-09-08 Hongyi Liu

We introduce a class of semiparametric time series models by assuming a quasi-likelihood approach driven by a latent factor process. More specifically, given the latent process, we only specify the conditional mean and variance of the time…

Methodology · Statistics 2021-04-02 Gisele O. Maia , Wagner Barreto-Souza , Fernando S. Bastos , Hernando Ombao

How to hedge factor risks without knowing the identities of the factors? We first prove a general theoretical result: even if the exact set of factors cannot be identified, any risky asset can use some portfolio of similar peer assets to…

Statistical Finance · Quantitative Finance 2021-03-19 Raymond C. W. Leung , Yu-Man Tam

Beta-sorted portfolios -- portfolios comprised of assets with similar covariation to selected risk factors -- are a popular tool in empirical finance to analyze models of (conditional) expected returns. Despite their widespread use, little…

Econometrics · Economics 2024-11-12 Matias D. Cattaneo , Richard K. Crump , Weining Wang

We propose an estimation methodology for a semiparametric quantile factor panel model. We provide tools for inference that are robust to the existence of moments and to the form of weak cross-sectional dependence in the idiosyncratic error…

Methodology · Statistics 2017-09-01 Shujie Ma , Oliver Linton , Jiti Gao

On a periodic basis, publicly traded companies report fundamentals, financial data including revenue, earnings, debt, among others. Quantitative finance research has identified several factors, functions of the reported data that…

Statistical Finance · Quantitative Finance 2020-07-16 Lakshay Chauhan , John Alberg , Zachary C. Lipton

This paper develops estimation and inference methods for conditional quantile factor models. We first introduce a simple sieve estimation, and establish asymptotic properties of the estimators under large $N$. We then provide a bootstrap…

Econometrics · Economics 2022-06-21 Qihui Chen

This paper presents an augmented deep factor model that generates latent factors for cross-sectional asset pricing. The conventional security sorting on firm characteristics for constructing long-short factor portfolio weights is nonlinear…

Methodology · Statistics 2024-12-11 Guanhao Feng , Jingyu He , Nicholas G. Polson , Jianeng Xu

Estimating the covariance of asset returns, i.e., the risk model, is a key component of financial portfolio construction and evaluation. Most risk modeling approaches produce a factor model that decomposes the asset variability into two…

The asset pricing literature emphasizes factor models that minimize pricing errors but overlooks unselected candidate factors that could enhance the performance of test assets. This paper proposes a framework for factor model selection and…

Econometrics · Economics 2026-01-16 Guanhao Feng , Wei Lan , Hansheng Wang , Jun Zhang

The Fama-French three factor models are commonly used in the description of asset returns in finance. Statistically speaking, the Fama-French three factor models imply that the return of an asset can be accounted for directly by the…

Methodology · Statistics 2016-05-05 Efang Kong , Jialiang Li , Wenyang Zhang

We study the data-generating processes for factors expressed in return differences, which the literature on time-series asset pricing seems to have overlooked. For the factors' data-generating processes or long-short zero-cost portfolios, a…

General Finance · Quantitative Finance 2024-05-20 Shuxin Guo , Qiang Liu

We study semiparametric factor models in high-dimensional panels where the factor loadings consist of a nonparametric component explained by observed covariates and an idiosyncratic component capturing unobserved heterogeneity. A key…

Methodology · Statistics 2025-12-09 Sijie Zheng

We study factor models that combine latent factors with firm characteristics and propose a new framework for modeling, estimating, and inferring pricing errors. Following Zhang (2024), our approach decomposes mispricing into two distinct…

Econometrics · Economics 2025-11-06 Jungjun Choi , Ming Yuan

This paper develops an autonomous framework for systematic factor investing via agentic AI. Rather than relying on sequential manual prompts, our approach operationalizes the model as a self-directed engine that endogenously formulates…

Portfolio Management · Quantitative Finance 2026-04-07 Allen Yikuan Huang , Zheqi Fan
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