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Accurate volatility forecasts are vital in modern finance for risk management, portfolio allocation, and strategic decision-making. However, existing methods face key limitations. Fully multivariate models, while comprehensive, are…

Statistical Finance · Quantitative Finance 2025-10-09 Duo Zhang , Jiayu Li , Junyi Mo , Elynn Chen

The generation of synthetic financial data is a critical technology in the financial domain, addressing challenges posed by limited data availability. Traditionally, statistical models have been employed to generate synthetic data. However,…

Computational Finance · Quantitative Finance 2025-03-07 Yuki Tanaka , Ryuji Hashimoto , Takehiro Takayanagi , Zhe Piao , Yuri Murayama , Kiyoshi Izumi

Neural network based data-driven market simulation unveils a new and flexible way of modelling financial time series without imposing assumptions on the underlying stochastic dynamics. Though in this sense generative market simulation is…

Statistical Finance · Quantitative Finance 2020-06-26 Hans Bühler , Blanka Horvath , Terry Lyons , Imanol Perez Arribas , Ben Wood

A central problem of Quantitative Finance is that of formulating a probabilistic model of the time evolution of asset prices allowing reliable predictions on their future volatility. As in several natural phenomena, the predictions of such…

Statistical Finance · Quantitative Finance 2012-09-25 Fulvio Baldovin , Dario Bovina , Francesco Camana , Attilio L. Stella

Although stochastic volatility and GARCH (generalized autoregressive conditional heteroscedasticity) models have successfully described the volatility dynamics of univariate asset returns, extending them to the multivariate models with…

Econometrics · Economics 2020-10-09 Yuta Yamauchi , Yasuhiro Omori

This paper describes a general approach for stochastic modeling of assets returns and liability cash-flows of a typical pensions insurer. On the asset side, we model the investment returns on equities and various classes of fixed-income…

Risk Management · Quantitative Finance 2020-05-27 Sergio Alvares Maffra , John Armstrong , Teemu Pennanen

The standard approach for constructing a Mean-Variance portfolio involves estimating parameters for the model using collected samples. However, since the distribution of future data may not resemble that of the training set, the…

Mathematical Finance · Quantitative Finance 2025-03-12 Duy Khanh Lam

Correlations between asset returns are important in many financial applications. In recent years, multivariate volatility models have been used to describe the time-varying feature of the correlations. However, the curse of dimensionality…

Statistics Theory · Mathematics 2008-12-02 Ruey S. Tsay

In this paper, a new approach to bivariate modeling of autoregressive conditional duration (ACD) models is proposed. Specifically, we consider the joint modeling of durations and the number of transactions made during the spell. The…

Applications · Statistics 2023-06-27 Helton Saulo , Suvra Pal , Roberto Vila

Synthetic data generation has proven to be a promising solution for addressing data availability issues in various domains. Even more challenging is the generation of synthetic time series data, where one has to preserve temporal dynamics,…

Quantum Physics · Physics 2022-04-14 Haim Horowitz , Pooja Rao , Santosh Kumar Radha

Given a pair of multivariate time-series data of the same length and dimensions, an approach is proposed to select variables and time intervals where the two series are significantly different. In applications where one time series is an…

Methodology · Statistics 2024-12-11 Kensuke Mitsuzawa , Margherita Grossi , Stefano Bortoli , Motonobu Kanagawa

Multi-stage financial decision optimization under uncertainty depends on a careful numerical approximation of the underlying stochastic process, which describes the future returns of the selected assets or asset categories. Various…

Neural and Evolutionary Computing · Computer Science 2010-04-27 Ronald Hochreiter

We conduct an empirical study using the quantile-based correlation function to uncover the temporal dependencies in financial time series. The study uses intraday data for the S\&P 500 stocks from the New York Stock Exchange. After…

General Finance · Quantitative Finance 2015-07-20 Thilo A. Schmitt , Rudi Schäfer , Holger Dette , Thomas Guhr

We present a novel process for generating synthetic datasets tailored to assess asset allocation methods and construct portfolios within the fixed income universe. Our approach begins by enhancing the CorrGAN model to generate synthetic…

Statistical Finance · Quantitative Finance 2023-11-28 Szymon Kubiak , Tillman Weyde , Oleksandr Galkin , Dan Philps , Ram Gopal

Natural and social multivariate systems are commonly studied through sets of simultaneous and time-spaced measurements of the observables that drive their dynamics, i.e., through sets of time series. Typically, this is done via hypothesis…

Statistical Finance · Quantitative Finance 2020-07-01 Riccardo Marcaccioli , Giacomo Livan

We present an econometric framework that adapts tools for scenario analysis, such as variants of conditional forecasts and generalized impulse responses, for use with dynamic nonparametric models. The proposed algorithms are based on…

Econometrics · Economics 2025-12-01 Michael Pfarrhofer , Anna Stelzer

This paper presents a new prediction model for time series data by integrating a time-varying Geometric Brownian Motion model with a pricing mechanism used in financial engineering. Typical time series models such as Auto-Regressive…

Applications · Statistics 2020-01-01 Abdullah AlShelahi , Jingxing Wang , Mingdi You , Eunshin Byon , Romesh Saigal

This paper focuses on the developing of high-dimensional risk models to construct portfolios of securities in the US stock exchange. Investors seek to gain the highest profits and lowest risk in capital markets. We have developed various…

Portfolio Management · Quantitative Finance 2024-07-23 Maysam Khodayari Gharanchaei , Prabhu Prasad Panda , Xilin Chen

Generating multivariate time series is a promising approach for sharing sensitive data in many medical, financial, and IoT applications. A common type of multivariate time series originates from a single source such as the biometric…

Machine Learning · Computer Science 2022-12-16 Ali Seyfi , Jean-Francois Rajotte , Raymond T. Ng

Archetypal analysis approximates data by means of mixtures of actual extreme cases (archetypoids) or archetypes, which are a convex combination of cases in the data set. Archetypes lie on the boundary of the convex hull. This makes the…

Machine Learning · Statistics 2018-12-31 Jesús Moliner , Irene Epifanio