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The volatility of financial instruments is rarely constant, and usually varies over time. This creates a phenomenon called volatility clustering, where large price movements on one day are followed by similarly large movements on successive…

Statistical Finance · Quantitative Finance 2015-05-08 Gordon J. Ross

We investigate whether sophisticated volatility estimation improves the out-of-sample performance of mean-variance portfolio strategies relative to the naive 1/N strategy. The portfolio strategies rely solely upon second moments. Using a…

General Finance · Quantitative Finance 2022-02-15 Michael Curran , Patrick O'Sullivan , Ryan Zalla

This paper introduces a Bayesian vector autoregression (BVAR) with stochastic volatility-in-mean and time-varying skewness. Unlike previous approaches, the proposed model allows both volatility and skewness to directly affect macroeconomic…

Econometrics · Economics 2025-10-10 Leonardo N. Ferreira , Haroon Mumtaz , Ana Skoblar

In this article, we present a review of the recent developments on the topic of Multilevel Monte Carlo (MLMC) algorithm, in the paradigm of applications in financial engineering. We specifically focus on the recent studies conducted in two…

Computational Finance · Quantitative Finance 2022-09-30 Devang Sinha , Siddhartha P. Chakrabarty

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…

Portfolio Management · Quantitative Finance 2022-05-03 Jean-Philippe Bouchaud , Iacopo Mastromatteo , Marc Potters , Konstantin Tikhonov

A time-varying cointegration model for foreign exchange rates is presented. Unlike previous studies, we allow the loading matrix in the vector error correction (VEC) model to be varying over time. Because the loading matrix in the VEC model…

Statistical Finance · Quantitative Finance 2016-10-17 Mikio Ito , Akihiko Noda , Tatsuma Wada

The purpose of this paper is to propose a time-varying vector autoregressive model (TV-VAR) for forecasting multivariate time series. The model is casted into a state-space form that allows flexible description and analysis. The volatility…

Statistical Finance · Quantitative Finance 2008-12-02 K. Triantafyllopoulos

The use of machine learning to generate synthetic data has grown in popularity with the proliferation of text-to-image models and especially large language models. The core methodology these models use is to learn the distribution of the…

Statistical Finance · Quantitative Finance 2023-11-28 Ruslan Tepelyan , Achintya Gopal

We introduce a new approach for generating sequences of implied volatility (IV) surfaces across multiple assets that is faithful to historical prices. We do so using a combination of functional data analysis and neural stochastic…

Computational Finance · Quantitative Finance 2023-12-27 Vedant Choudhary , Sebastian Jaimungal , Maxime Bergeron

The task of modeling claim severities is addressed when data is not consistent with the classical regression assumptions. This framework is common in several lines of business within insurance and reinsurance, where catastrophic losses or…

Statistics Theory · Mathematics 2022-04-01 Martin Bladt , Jorge Yslas

This paper investigates short-term behaviors of implied volatility of derivatives written on indexes in equity markets when the index processes are constructed by using a ranking procedure. Even in simple market settings where stock prices…

Pricing of Securities · Quantitative Finance 2025-03-11 Huy N. Chau , Duy Nguyen , Thai Nguyen

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 propose a novel class of multivariate GARCH models that incorporate realized measures of volatility and correlations. The key innovation is an unconstrained vector parametrization of the conditional correlation matrix, which enables the…

Econometrics · Economics 2025-02-07 Ilya Archakov , Peter Reinhard Hansen , Asger Lunde

We present a flexible tool, called General Effect Modelling (GEM), for the analysis of any multivariate data influenced by one or more qualitative (categorical) or quantitative (continuous) input variables. The variables can be design…

Methodology · Statistics 2024-04-05 Ellen Færgestad Mosleth , Kristian Hovde Liland

We examine how the most prevalent stochastic properties of key financial time series have been affected during the recent financial crises. In particular we focus on changes associated with the remarkable economic events of the last two…

General Finance · Quantitative Finance 2014-03-28 Menelaos Karanasos , Alexandros Paraskevopoulos , Faek Menla Ali , Michail Karoglou , Stavroula Yfanti

We introduce the Multiscale Experience Replay (MER) algorithm for solving a class of stochastic variational inequalities (VIs) in settings where samples are generated from a Markov chain and we have access to a memory buffer to store them.…

Optimization and Control · Mathematics 2026-01-06 Milind Nakul , Tianjiao Li , Ashwin Pananjady

It is often of interest to perform clustering on longitudinal data, yet it is difficult to formulate an intuitive model for which estimation is computationally feasible. We propose a model-based clustering method for clustering objects that…

Methodology · Statistics 2020-05-19 Daniel K. Sewell , Yuguo Chen , William Bernhard , Tracy Sulkin

This study addresses the computational challenges of forecasting volatility in high-dimensional commodity markets. Building on the Network log-ARCH framework, we introduce a novel class of network topologies from GARCH-informed correlation…

Econometrics · Economics 2026-02-23 Fayçal Djebari , Kahina Mehidi , Khelifa Mazouz , Philipp Otto

An appropriate calibration and forecasting of volatility and market risk are some of the main challenges faced by companies that have to manage the uncertainty inherent to their investments or funding operations such as banks, pension funds…

Risk Management · Quantitative Finance 2020-08-19 E. Ramos-Pérez , P. J. Alonso-González , J. J. Núñez-Velázquez

Predicting future operational risk losses gives rise to a significant challenge due to the heterogeneous and time-dependent structures present in real-world data. Furthermore, stress test exercises require examining the relationship with…

Risk Management · Quantitative Finance 2026-04-24 Nikeethan Selvaratnam , Dorinel Bastide , Clément Fernandes , Wojciech Pieczynski
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