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This paper proposes a new procedure to validate the multi-factor pricing theory by testing the presence of alpha in linear factor pricing models with a large number of assets. Because the market's inefficient pricing is likely to occur to a…

Methodology · Statistics 2023-05-23 Qiang Xia , Xianyang Zhang

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…

Methodology · Statistics 2023-07-19 Huifang MA , Long Feng , Zhaojun Wang

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

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

Although machine learning approaches have been widely used in the field of finance, to very successful degrees, these approaches remain bespoke to specific investigations and opaque in terms of explainability, comparability, and…

Trading and Market Microstructure · Quantitative Finance 2022-06-22 Artur Sokolovsky , Luca Arnaboldi

In this study, we introduce three distinct testing methods for testing alpha in high dimensional linear factor pricing model that deals with dependent data. The first method is a sum-type test procedure, which exhibits high performance when…

Methodology · Statistics 2024-01-26 Huifang Ma , Long Feng , Zhaojun Wang , Jigang Bao

We consider testing zero pricing errors in high-dimensional linear factor pricing models. Existing methods are mainly based on either an $L_2$ statistic, which is effective under dense alternatives, or an $L_\infty$ statistic, which is…

Methodology · Statistics 2026-04-01 Ping Zhao , Huifang Ma , Long Feng

"Fundamental theorem of asset pricing" roughly states that absence of arbitrage opportunity in a market is equivalent to the existence of a risk-neutral probability. We give a simple counterexample to this oversimplified statement. Prices…

Pricing of Securities · Quantitative Finance 2013-10-07 Louis Paulot

We propose a new powerful family of tests of univariate normality. These tests are based on an initial value problem in the space of characteristic functions originating from the fixed point property of the normal distribution in the zero…

Statistics Theory · Mathematics 2020-02-28 Bruno Ebner

As increasingly complex hypothesis-testing scenarios are considered in many scientific fields, analytic derivation of null distributions is often out of reach. To the rescue comes Monte Carlo testing, which may appear deceptively simple: as…

Methodology · Statistics 2015-04-13 Egil Ferkingstad , Lars Holden , Geir Kjetil Sandve

We discuss the foundations of factor or regression models in the light of the self-consistency condition that the market portfolio (and more generally the risk factors) is (are) constituted of the assets whose returns it is (they are)…

Physics and Society · Physics 2009-11-13 Y. Malevergne , D. Sornette

This article proposes omnibus portmanteau tests for contrasting adequacy of time series models. The test statistics are based on combining the autocorrelation function of the conditional residuals, the autocorrelation function of the…

Methodology · Statistics 2024-02-02 Esam Mahdi

This paper studies alpha testing in a high-dimensional conditional time-varying factor model with temporally dependent observations. Both factor loadings and alpha processes are allowed to vary smoothly over time, and the cross-sectional…

Methodology · Statistics 2026-04-16 Long Feng , Huifang Ma , Zhaojun Wang

In recent years, there has been considerable research on testing alphas in high-dimensional linear factor pricing models. In our study, we introduce a novel max-type test procedure that performs well under sparse alternatives. Furthermore,…

Methodology · Statistics 2024-04-11 Chenxi Zhao , Ping Zhao , Long Feng , Zhaojun Wang

We consider the problem of sequential multiple hypothesis testing with nontrivial data collection costs. This problem appears, for example, when conducting biological experiments to identify differentially expressed genes of a disease…

Machine Learning · Computer Science 2023-11-06 Thomas Cook , Harsh Vardhan Dubey , Ji Ah Lee , Guangyu Zhu , Tingting Zhao , Patrick Flaherty

We consider identification, inference and validation of linear panel data models when both factors and factor loadings are accounted for by a nonparametric function. This general specification encompasses rather popular models such as the…

Econometrics · Economics 2025-06-13 Juan M. Rodriguez-Poo , Alexandra Soberon , Stefan Sperlich

The Fisher randomization test (FRT) is appropriate for any test statistic, under a sharp null hypothesis that can recover all missing potential outcomes. However, it is often sought after to test a weak null hypothesis that the treatment…

Methodology · Statistics 2020-11-09 Jason Wu , Peng Ding

The multi-factor model is a widely used model in quantitative investment. The success of a multi-factor model is largely determined by the effectiveness of the alpha factors used in the model. This paper proposes a new evolutionary…

Computational Finance · Quantitative Finance 2020-04-07 Tianping Zhang , Yuanqi Li , Yifei Jin , Jian Li

We introduce a simple and tractable methodology for estimating semiparametric conditional latent factor models. Our approach disentangles the roles of characteristics in capturing factor betas of asset returns from ``alpha.'' We construct…

Econometrics · Economics 2025-04-29 Qihui Chen , Nikolai Roussanov , Xiaoliang Wang

In this paper, we investigate alpha testing for high-dimensional linear factor pricing models. We propose a spatial sign-based max-type test to handle sparse alternative cases. Additionally, we prove that this test is asymptotically…

Methodology · Statistics 2024-09-17 Ping Zhao , Long Feng , Hongfei Wang , Zhaojun Wang
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