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For a covariance matrix coming from a factor model of returns, we investigate the relationship between the long-only global minimum variance portfolio and the asset exposures to the factors. In the case of a 1-factor model, we provide a…

数理金融 · 定量金融 2026-03-10 Nick L. Gunther , Alec N. Kercheval , Ololade Sowunmi

We introduce the formalism of generalized Fourier transforms in the context of risk management. We develop a general framework to efficiently compute the most popular risk measures, Value-at-Risk and Expected Shortfall (also known as…

风险管理 · 定量金融 2012-05-08 G. Bormetti , V. Cazzola , G. Livan , G. Montagna , O. Nicrosini

Pervasive cross-section dependence is increasingly recognized as a characteristic of economic data and the approximate factor model provides a useful framework for analysis. Assuming a strong factor structure where $\Lop\Lo/N^\alpha$ is…

计量经济学 · 经济学 2023-03-07 Jushan Bai , Serena Ng

This study presents an analytical approach to sector rotation, leveraging both factor models and fundamental metrics. We initiate with a systematic classification of sectors, followed by an empirical investigation into their returns.…

投资组合管理 · 定量金融 2024-01-02 Runjia Yang , Beining Shi

Regulatory requirements dictate that financial institutions must calculate risk capital (funds that must be retained to cover future losses) at least annually. Procedures for doing this have been well-established for many years, but recent…

计算金融 · 定量金融 2017-05-22 Peter Mitic

The ongoing concern about systemic risk since the outburst of the global financial crisis has highlighted the need for risk measures at the level of sets of interconnected financial components, such as portfolios, institutions or members of…

风险管理 · 定量金融 2017-03-24 Yannick Armenti , Stephane Crepey , Samuel Drapeau , Antonis Papapantoleon

Using Random Matrix Theory, we propose a universal and versatile tool to reveal the existence of "fleeting modes", i.e. portfolios that carry statistically significant excess risk, signalling ex-post a change in the correlation structure in…

投资组合管理 · 定量金融 2022-05-03 Jean-Philippe Bouchaud , Iacopo Mastromatteo , Marc Potters , Konstantin Tikhonov

This paper makes a selective survey on the recent development of the factor model and its application on statistical learnings. We focus on the perspective of the low-rank structure of factor models, and particularly draws attentions to…

计量经济学 · 经济学 2020-09-23 Jianqing Fan , Kunpeng Li , Yuan Liao

We develop a general theory of risk measures that determines the optimal amount of capital to raise and invest in a portfolio of reference traded securities in order to meet a pre-specified regulatory requirement. The distinguishing feature…

数理金融 · 定量金融 2021-11-17 Maria Arduca , Cosimo Munari

The aim of our work is to propose a natural framework to account for all the empirically known properties of the multivariate distribution of stock returns. We define and study a "nested factor model", where the linear factors part is…

风险管理 · 定量金融 2015-01-15 Rémy Chicheportiche , Jean-Philippe Bouchaud

In this paper, we investigate a financial market model consisting of a risky asset, modeled as a general diffusion parameterized by a scale function and a speed measure, and a bank account process with a constant interest rate. This…

数理金融 · 定量金融 2025-12-09 Alexis Anagnostakis , David Criens , Mikhail Urusov

This paper develops an approach to inference in a linear regression model when the number of potential explanatory variables is larger than the sample size. The approach treats each regression coefficient in turn as the interest parameter,…

统计方法学 · 统计学 2022-11-14 Heather S. Battey , Nancy Reid

We introduce a class of dependence structures, that we call the Multiple Risk Factor (MRF) dependence structures. On the one hand, the new constructions extend the popular CreditRisk+ approach, and as such they formally describe default…

风险管理 · 定量金融 2016-07-19 Jianxi Su , Edward Furman

Model development often takes data structure, subject matter considerations, model assumptions, and goodness of fit into consideration. To diagnose issues with any of these factors, it can be helpful to understand regression model estimates…

统计方法学 · 统计学 2022-01-11 Amy Zhang , Le Bao , Michael J. Daniels

We consider the estimation of approximate factor models for time series data, where strong serial and cross-sectional correlations amongst the idiosyncratic component are present. This setting comes up naturally in many applications, but…

统计方法学 · 统计学 2019-12-10 Jiahe Lin , George Michailidis

This manuscript proposes to extend the information set of time-series regression trees with latent stationary factors extracted via state-space methods. In doing so, this approach generalises time-series regression trees on two dimensions.…

机器学习 · 统计学 2023-06-14 Filippo Pellegrino

Multimodal data, where different types of data are collected from the same subjects, are fast emerging in a large variety of scientific applications. Factor analysis is commonly used in integrative analysis of multimodal data, and is…

统计理论 · 数学 2021-03-31 Quefeng Li , Lexin Li

The downside risk of a portfolio of (equity)assets is generally substantially higher than the downside risk of its components. In particular in times of crises when assets tend to have high correlation, the understanding of this difference…

风险管理 · 定量金融 2015-03-17 Alex Langnau , Daniel Cangemi

We develop a behavioral asset pricing model in which agents trade in a market with information friction. Profit-maximizing agents switch between trading strategies in response to dynamic market conditions. Due to noisy private information…

交易与市场微观结构 · 定量金融 2019-05-02 Zhentao Shi , Huanhuan Zheng

This paper introduces one new multivariate volatility model that can accommodate an appropriately defined network structure based on low-frequency and high-frequency data. The model reduces the number of unknown parameters and the…

统计金融 · 定量金融 2022-04-28 Huiling Yuan , Guodong Li , Junhui Wang