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Predicting volatility is important for asset predicting, option pricing and hedging strategies because it cannot be directly observed in the financial market. The Black-Scholes option pricing model is one of the most widely used models by…

Computational Finance · Quantitative Finance 2023-12-01 Soohan Kim , Seok-Bae Yun , Hyeong-Ohk Bae , Muhyun Lee , Youngjoon Hong

This study presents contemporaneous modeling of asset return and price range within the framework of stochastic volatility with leverage. A new representation of the probability density function for the price range is provided, and its…

Computation · Statistics 2021-10-28 Yuta Kurose

Volatility is a quantity of measurement for the price movements of stocks or options which indicates the uncertainty within financial markets. As an indicator of the level of risk or the degree of variation, volatility is important to…

Machine Learning · Computer Science 2018-11-12 Qiang Zhang , Rui Luo , Yaodong Yang , Yuanyuan Liu

The use of intelligent systems for stock market predictions has been widely established. In this paper, we investigate how the seemingly chaotic behavior of stock markets could be well represented using several connectionist paradigms and…

Artificial Intelligence · Computer Science 2007-05-23 Ajith Abraham , Ninan Sajith Philip , P. Saratchandran

In this paper an arbitrage strategy is constructed for the modified Black-Scholes model driven by fractional Brownian motion or by a time changed fractional Brownian motion, when the volatility is stochastic. This latter property allows the…

Information Theory · Computer Science 2007-07-13 Erhan Bayraktar , H. Vincent Poor

In financial mathematics, it is a typical approach to approximate financial markets operating in discrete time by continuous-time models such as the Black Scholes model. Fitting this model gives rise to difficulties due to the discrete…

Mathematical Finance · Quantitative Finance 2024-01-11 Kathrin Hellmuth , Christian Klingenberg

Forecasting the volatility of financial assets is essential for various financial applications. This paper addresses the challenging task of forecasting the volatility of financial assets with limited historical data, such as new issues or…

Machine Learning · Computer Science 2025-03-18 Andreas Teller , Uta Pigorsch , Christian Pigorsch

The only input to attain the portfolio weights of global minimum variance portfolio (GMVP) is the covariance matrix of returns of assets being considered for investment. Since the population covariance matrix is not known, investors use…

Portfolio Management · Quantitative Finance 2020-04-20 Jinwoo Park

In recent years, high-frequency trading has emerged as a crucial strategy in stock trading. This study aims to develop an advanced high-frequency trading algorithm and compare the performance of three different mathematical models: the…

Trading and Market Microstructure · Quantitative Finance 2023-11-21 Jiahao Chen , Xiaofei Li

The volatility characterizes the amplitude of price return fluctuations. It is a central magnitude in finance closely related to the risk of holding a certain asset. Despite its popularity on trading floors, the volatility is unobservable…

Physics and Society · Physics 2008-12-02 Zoltan Eisler , Josep Perello , Jaume Masoliver

This paper presents a comparative analysis of univariate and multivariate GARCH-family models and machine learning algorithms in modeling and forecasting the volatility of major energy commodities: crude oil, gasoline, heating oil, and…

Econometrics · Economics 2024-05-31 Seulki Chung

In an efficient stock market, the returns and their time-dependent volatility are often jointly modeled by stochastic volatility models (SVMs). Over the last few decades several SVMs have been proposed to adequately capture the defining…

Applications · Statistics 2017-03-21 Sujay Mukhoti , Pritam Ranjan

In this paper, we introduce the Dynamic Modularity-Spectral Algorithm (DynMSA), a novel approach to identify clusters of stocks with high intra-cluster correlations and low inter-cluster correlations by combining Random Matrix Theory with…

Portfolio Management · Quantitative Finance 2024-07-08 Philipp Wirth , Francesca Medda , Thomas Schröder

While the use of volatilities is pervasive throughout finance, our ability to determine the instantaneous volatility of stocks is nascent. Here, we present a method for measuring the temporal behavior of stocks, and show that stock prices…

Statistical Finance · Quantitative Finance 2010-07-30 Achilles D. Speliotopoulos

In this work, we apply machine learning techniques to historical stock prices to forecast future prices. To achieve this, we use recursive approaches that are appropriate for handling time series data. In particular, we apply a linear…

Statistical Finance · Quantitative Finance 2022-02-08 Ogulcan E. Orsel , Sasha S. Yamada

Stochastic Dominance (SD) theory provides a rigorous framework for selecting superior assets tailored to the asset allocation needs of investors with varying risk preferences (i.e., risk-averse, risk-seeking, and risk-neutral). However,…

Machine Learning · Statistics 2026-05-26 Hua Li , Xue Jia , Yilin Kang , Wing-Keung Wong

In this study, we predict next-day movements of stock end-of-day implied volatility using random forests. Through an ablation study, we examine the usefulness of different sources of predictors and expose the value of attention and…

Computational Finance · Quantitative Finance 2023-01-03 Thomas Dierckx , Jesse Davis , Wim Schoutens

We propose a stochastic process for stock movements that, with just one source of Brownian noise, has an instantaneous volatility that rises from a type of statistical feedback across many time scales. This results in a stationary…

Other Condensed Matter · Physics 2008-12-02 Lisa Borland

We formulate a discrete-time Bayesian stochastic volatility model for high-frequency stock-market data that directly accounts for microstructure noise, and outline a Markov chain Monte Carlo algorithm for parameter estimation. The methods…

Applications · Statistics 2016-02-02 Georgi Dinolov , Abel Rodriguez , Hongyun Wang

Changes in market conditions present challenges for investors as they cause performance to deviate from the ranges predicted by long-term averages of means and covariances. The aim of conditional asset allocation strategies is to overcome…

General Finance · Quantitative Finance 2022-11-03 Reza Bradrania , Davood Pirayesh Neghab
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