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This paper analyses how Time Series Analysis techniques can be applied to capture movement of an exchange traded index in a stock market. Specifically, Seasonal Auto Regressive Integrated Moving Average (SARIMA) class of models is applied…

Statistical Finance · Quantitative Finance 2020-01-28 Amit Tewari

The subject of the present article is the study of correlations between large insurance companies and their contribution to systemic risk in the insurance sector. Our main goal is to analyze the conditional structure of the correlation on…

General Economics · Economics 2019-05-10 Anna Denkowska , Stanisław Wanat

We propose a mathematical procedure for finding informed trader activities in European-style options and their underlying asset. The regression model (9) with moving average component was written. Being added to it ARMA-process for…

Trading and Market Microstructure · Quantitative Finance 2014-03-14 Lyudmila A. Glik , Oleg L. Kritski

One of the most important features of financial time series data is volatility. There are often structural changes in volatility over time, and an accurate estimation of the volatility of financial time series requires careful…

Methodology · Statistics 2022-10-24 Huaiyu Hu , Ashis Gangopadhyay

We introduce and study a variational framework for the analysis of empirical risk based inference for dynamical systems and ergodic processes. The analysis applies to a two-stage estimation procedure in which (i) the trajectory of an…

Dynamical Systems · Mathematics 2018-01-24 Kevin McGoff , Andrew B. Nobel

We propose a novel probabilistic model to facilitate the learning of multivariate tail dependence of multiple financial assets. Our method allows one to construct from known random vectors, e.g., standard normal, sophisticated joint…

Risk Management · Quantitative Finance 2020-01-14 Xing Yan , Qi Wu , Wen Zhang

Accurately estimating risk measures for financial portfolios is critical for both financial institutions and regulators. However, many existing models operate at the aggregate portfolio level and thus fail to capture the complex…

Portfolio Management · Quantitative Finance 2023-02-10 Emanuel Sommer , Karoline Bax , Claudia Czado

In this paper we estimate the conditional value-at-risk by fitting different multivariate parametric models capturing some stylized facts about multivariate financial time series of equity returns: heavy tails, negative skew, asymmetric…

Risk Management · Quantitative Finance 2020-09-24 Michele Leonardo Bianchi , Giovanni De Luca , Giorgia Rivieccio

Range-measured return contains more information than the traditional scalar-valued return. In this paper, we propose to model the [low, high] price range as a random interval and suggest an interval-valued GARCH (Int-GARCH) model for the…

Methodology · Statistics 2019-01-11 Yan Sun , Guanghua Lian , Zudi Lu , Jennifer Loveland , Isaac Blackhurst

We propose a new approach for analyzing price fluctuations in their strongly correlated regime ranging from minutes to months. This is done by employing a self-similarity assumption for the magnitude of coarse-grained price fluctuation or…

Statistical Mechanics · Physics 2009-11-07 Yoshi Fujiwara , Hirokazu Fujisaka

We propose a nonparametric and time-varying directed information graph (TV-DIG) framework to estimate the evolving causal structure in time series networks, thereby addressing the limitations of traditional econometric models in capturing…

Econometrics · Economics 2023-12-29 Jalal Etesami , Ali Habibnia , Negar Kiyavash

The Growth-at-Risk (GaR) framework has garnered attention in recent econometric literature, yet current approaches implicitly assume a constant Pareto exponent. We introduce novel and robust econometrics to estimate the tails of GaR based…

Econometrics · Economics 2026-03-16 Tobias Adrian , Yuya Sasaki , Yulong Wang

This paper introduces a new model for panel data with Markov-switching GARCH effects. The model incorporates a series-specific hidden Markov chain process that drives the GARCH parameters. To cope with the high-dimensionality of the…

Methodology · Statistics 2020-12-21 Roberto Casarin , Mauro Costantini , Anthony Osuntuyi

The ARCH process (R. F. Engle, 1982) constitutes a paradigmatic generator of stochastic time series with time-dependent variance like it appears on a wide broad of systems besides economics in which ARCH was born. Although the ARCH process…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Silvio M. Duarte Queiros

We propose a formula of time-series prediction by means of three states random field Ising model (RFIM). At the economic crisis due to disasters or international disputes, the stock price suddenly drops. The macroscopic phenomena should be…

Trading and Market Microstructure · Quantitative Finance 2013-09-20 Mitsuaki Murota , Jun-ichi Inoue

A new branch based on Markov processes is developing in the recent literature of financial time series modeling. In this paper, an Indexed Markov Chain has been used to model high frequency price returns of quoted firms. The peculiarity of…

Statistical Finance · Quantitative Finance 2018-02-06 Guglielmo D'Amico , Ada Lika , Filippo Petroni

For a given time horizon DT, this article explores the relationship between the realized volatility (the volatility that will occur between t and t+DT), the implied volatility (corresponding to at-the-money option with expiry at t+DT), and…

Pricing of Securities · Quantitative Finance 2009-01-16 Gilles Zumbach

The initial Climate-Extended Risk Model (CERM) addresses the estimate of climate-related financial risk embedded within a bank loan portfolio, through a climatic extension of the Basel II IRB model. It uses a Gaussian copula model…

Risk Management · Quantitative Finance 2022-05-06 Jean-Baptiste Gaudemet , Jules Deschamps , Olivier Vinciguerra

Heteroskedasticity is a common feature of financial time series and is commonly addressed in the model building process through the use of ARCH and GARCH processes. More recently multivariate variants of these processes have been in the…

Methodology · Statistics 2015-12-18 Alexander Aue , Lajos Horvath , Daniel Pellatt

During the last decades there has been increasing interest in modeling the volatility of financial data. Several parametric models have been proposed to this aim, starting from ARCH, GARCH and their variants, but often it is hard to…

Methodology · Statistics 2016-07-28 Francesco Giordano , Maria Lucia Parrella