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We propose a new non-linear single-factor asset pricing model $r_{it}=h(f_{t}\lambda_{i})+\epsilon_{it}$. Despite its parsimony, this model represents exactly any non-linear model with an arbitrary number of factors and loadings -- a…

General Finance · Quantitative Finance 2024-04-15 Nicola Borri , Denis Chetverikov , Yukun Liu , Aleh Tsyvinski

The Fama-French model is widely used in assessing the portfolio's performance compared to market returns. In Fama-French models, all factors are time-series data. The cross-sectional data are slightly different from the time series data. A…

Statistical Finance · Quantitative Finance 2020-06-05 Javad Shaabani , Ali Akbar Jafari

This paper analyses the investment returns of three stock sectors, Manuf, Hitec, and Other, in the U.S. stock market, based on the Fama-French three-factor model, the Carhart four-factor model, and the Fama-French five-factor model, in…

Statistical Finance · Quantitative Finance 2025-05-30 Shicheng Zhou , Zizhou Zhang , Rong Zhang , Yuchen Yin , Chia Hong Chang , Qinyan Shen

In financial trading, factor models are widely used to price assets and capture excess returns from mispricing. Recently, we have witnessed the rise of variational autoencoder-based latent factor models, which learn latent factors…

Machine Learning · Computer Science 2026-01-15 Yilei Zhao , Wentao Zhang , Tingran Yang , Yong Jiang , Fei Huang , Wei Yang Bryan Lim

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…

Market traders often engage in the frequent transaction of volatile assets to optimize their total return. In this study, we introduce a novel investment strategy model, anchored on the 'lazy factor.' Our approach bifurcates into a Price…

Portfolio Management · Quantitative Finance 2023-06-14 Shuo Han , Yinan Chen , Jiacheng Liu

Factor modeling of asset returns has been a dominant practice in investment science since the introduction of the Capital Asset Pricing Model (CAPM) and the Arbitrage Pricing Theory (APT). The factors, which account for the systematic risk,…

Statistical Finance · Quantitative Finance 2020-11-30 Zhipu Zhou , Alexander Shkolnik , Sang-Yun Oh

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

Factor analysis is a statistical technique employed to evaluate how observed variables correlate through common factors and unique variables. While it is often used to analyze price movement in the unstable stock market, it does not always…

Statistical Finance · Quantitative Finance 2014-08-13 Angela Gu , Patrick Zeng

The number of pension funds has multiplied exponentially over the last decade. Active portfolio management requires a precise analysis of the performance drivers. Several risk and performance attribution metrics have been developed since…

Portfolio Management · Quantitative Finance 2021-11-17 Hugo Inzirillo , Rémi Genet

We build a state-of-the-art dynamic model of private asset allocation that considers five key features of private asset markets: (1) the illiquid nature of private assets, (2) timing lags between capital commitments, capital calls, and…

Portfolio Management · Quantitative Finance 2025-03-04 Hui Chen , Giovanni Gambarotta , Simon Scheidegger , Yu Xu

This article explores dynamic factor allocation by analyzing the cyclical performance of factors through regime analysis. The authors focus on a U.S. equity investment universe comprising seven long-only indices representing the market and…

Portfolio Management · Quantitative Finance 2024-10-22 Yizhan Shu , John M. Mulvey

Income and risk coexist, yet investors are often so focused on chasing high returns that they overlook the potential risks that can lead to high losses. Therefore, risk forecasting and risk control is the cornerstone of investment. To…

Applications · Statistics 2023-11-14 Xinyuan Song

We develop novel estimation procedures with supporting econometric theory for a dynamic latent-factor model with high-dimensional asset characteristics, that is, the number of characteristics is on the order of the sample size. Utilizing…

Econometrics · Economics 2024-05-27 Adam Baybutt

This paper presents a comprehensive study on the integration of text-derived, time-varying sentiment factors into traditional multi-factor asset pricing models. Leveraging FinBERT, a domain-specific deep learning language model, we…

Computational Engineering, Finance, and Science · Computer Science 2025-05-06 Chi Zhang

How to do big portfolio selection is very important but challenging for both researchers and practitioners. In this paper, we propose a new graph-based conditional moments (GRACE) method to do portfolio selection based on thousands of…

Machine Learning · Statistics 2023-01-30 Zhoufan Zhu , Ningning Zhang , Ke Zhu

We estimate the global minimum variance (GMV) portfolio in the high-dimensional case using results from random matrix theory. This approach leads to a shrinkage-type estimator which is distribution-free and it is optimal in the sense of…

Statistical Finance · Quantitative Finance 2023-04-19 Taras Bodnar , Nestor Parolya , Wolfgang Schmid

Estimating and assessing the risk of a large portfolio is an important topic in financial econometrics and risk management. The risk is often estimated by a substitution of a good estimator of the volatility matrix. However, the accuracy of…

Applications · Statistics 2013-02-06 Jianqing Fan , Yuan Liao , Xiaofeng Shi

In this paper, we define probabilistic measures for venture portfolio performance based on individual outlier probability for each investment and the dependence across investments. This work is inspired by loan portfolio modeling against…

Computational Engineering, Finance, and Science · Computer Science 2026-02-10 Kensei Sakamoto , Hasan Ugur Koyluoglu , Fuat Alican , Yigit Ihlamur

The principal portfolios of the standard Capital Asset Pricing Model (CAPM) are analyzed and found to have remarkable hedging and leveraging properties. Principal portfolios implement a recasting of any correlated asset set of N risky…

Portfolio Management · Quantitative Finance 2013-06-21 M. Hossein Partovi