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We study the dynamics of correlation and variance in systems under the load of environmental factors. A universal effect in ensembles of similar systems under the load of similar factors is described: in crisis, typically, even before…

Biological Physics · Physics 2010-08-27 A. N. Gorban , E. V. Smirnova , T. A. Tyukina

Foreign exchange rates movements exhibit significant cross-correlations even on very short time-scales. The effect of these statistical relationships become evident during extreme market events, such as flash crashes.In this scenario, an…

Trading and Market Microstructure · Quantitative Finance 2020-09-09 Alberto Ciacci , Takumi Sueshige , Hideki Takayasu , Kim Christensen , Misako Takayasu

We propose a general interpretation for long-range correlation effects in the activity and volatility of financial markets. This interpretation is based on the fact that the choice between `active' and `inactive' strategies is subordinated…

Disordered Systems and Neural Networks · Physics 2009-11-07 Irene Giardina , Jean-Philippe Bouchaud , Marc Mézard

Estimating time-varying correlation matrices is challenging because existing methods may adapt slowly to structural changes, impose insufficient regularization, or produce diffuse posterior uncertainty. In moderate dimensions, an additional…

Methodology · Statistics 2026-05-11 Daniel Andrew Coulson , David S. Matteson , Martin T. Wells

This paper investigates how to measure common market risk factors using newly proposed Panel Quantile Regression Model for Returns. By exploring the fact that volatility crosses all quantiles of the return distribution and using penalized…

Pricing of Securities · Quantitative Finance 2017-08-30 Frantisek Cech , Jozef Barunik

We define causal estimands for experiments on single time series, extending the potential outcome framework to dealing with temporal data. Our approach allows the estimation of some of these estimands and exact randomization based p-values…

Methodology · Statistics 2020-02-17 Iavor Bojinov , Neil Shephard

One of the most important studies in finance is to find out whether stock returns could be predicted. This research aims to create a new multivariate model, which includes dividend yield, earnings-to-price ratio, book-to-market ratio as…

Econometrics · Economics 2021-10-06 Jianying Xie

A novel application of the correlation matrix formalism to study dynamics of the financial evolution is presented. This formalism allows to quantify the memory effects as well as some potential repeatable intradaily structures in the…

Soft Condensed Matter · Physics 2009-11-07 S. Drozdz , J. Kwapien , F. Gruemmer , F. Ruf , J. Speth

We study short-horizon forecasting in financial time series under strict causal constraints, treating the market as a non-stationary stochastic system in which any predictive observable must be computable online from information available…

Computational Finance · Quantitative Finance 2026-01-01 Lucas A. Souza

Using high frequency data, we have studied empirically the change of volatility, also called volatility derivative, for various time horizons. In particular, the correlation between the volatility derivative and the volatility realized in…

Statistical Mechanics · Physics 2009-11-07 Gilles Zumbach , Paul Lynch

We derive some simple relations that demonstrate how the posterior convergence rate is related to two driving factors: a "penalized divergence" of the prior, which measures the ability of the prior distribution to propose a nonnegligible…

Statistics Theory · Mathematics 2014-11-12 Wenxin Jiang

We introduce a multi-factor stochastic volatility model based on the CIR/Heston volatility process that incorporates seasonality and the Samuelson effect. First, we give conditions on the seasonal term under which the corresponding…

Pricing of Securities · Quantitative Finance 2015-06-22 Lorenz Schneider , Bertrand Tavin

Using Random Matrix Theory one can derive exact relations between the eigenvalue spectrum of the covariance matrix and the eigenvalue spectrum of its estimator (experimentally measured correlation matrix). These relations will be used to…

Statistical Mechanics · Physics 2009-11-10 Zdzislaw Burda , Jerzy Jurkiewicz

In this paper we apply a new approach of the string theory to the real financial market. It is direct extension and application of the work [1] into prediction of prices. The models are constructed with an idea of prediction models based on…

Trading and Market Microstructure · Quantitative Finance 2014-03-05 Richard Pincak , Marian Repasan

In this brief review, we critically examine the recent work done on correlation-based networks in financial systems. The structure of empirical correlation matrices constructed from the financial market data changes as the individual stock…

Computational Finance · Quantitative Finance 2020-04-21 Vishwas Kukreti , Hirdesh K. Pharasi , Priya Gupta , Sunil Kumar

We develop a novel multivariate semi-parametric framework for joint portfolio Value-at-Risk (VaR) and Expected Shortfall (ES) forecasting. Unlike existing univariate semi-parametric approaches, the proposed framework explicitly models the…

Risk Management · Quantitative Finance 2024-12-23 Giuseppe Storti , Chao Wang

We introduce a new regression method that relates the mean of an outcome variable to covariates, under the "adverse condition" that a distress variable falls in its tail. This allows to tailor classical mean regressions to adverse…

Econometrics · Economics 2025-02-04 Timo Dimitriadis , Yannick Hoga

This research presents a novel approach to predicting option movements by analyzing residual transactions, which are trades that deviate from standard hedging activities. Unlike traditional methods that primarily focus on open interest and…

Computational Finance · Quantitative Finance 2024-10-23 Carl von Havighorst , Vincil Bishop

We investigate the emergence of a structure in the correlation matrix of assets' returns as the time-horizon over which returns are computed increases from the minutes to the daily scale. We analyze data from different stock markets (New…

Physics and Society · Physics 2010-12-08 Christian Borghesi , Matteo Marsili , Salvatore Miccichè

We introduce a multi-factor stochastic volatility model based on the CIR/Heston stochastic volatility process. In order to capture the Samuelson effect displayed by commodity futures contracts, we add expiry-dependent exponential damping…

Pricing of Securities · Quantitative Finance 2015-02-23 Lorenz Schneider , Bertrand Tavin