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This paper investigates the structural dynamics of stock market volatility through the Financial Chaos Index, a tensor- and eigenvalue-based measure designed to capture realized volatility via mutual fluctuations among asset prices.…

Statistical Finance · Quantitative Finance 2025-04-29 Masoud Ataei

While time series momentum is a well-studied phenomenon in finance, common strategies require the explicit definition of both a trend estimator and a position sizing rule. In this paper, we introduce Deep Momentum Networks -- a hybrid…

Machine Learning · Statistics 2020-09-29 Bryan Lim , Stefan Zohren , Stephen Roberts

We consider state and parameter estimation for a dynamical system having both time-varying and time-invariant parameters. It has been shown that the robustness of the Markov Chain Monte Carlo (MCMC) algorithm for estimating time-invariant…

Computational Engineering, Finance, and Science · Computer Science 2022-10-18 Philippe Bisaillon , Brandon Robinson , Mohammad Khalil , Chris L. Pettit , Dominique Poirel , Abhijit Sarkar

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

Non-equilibrium phenomena occur not only in physical world, but also in finance. In this work, stochastic relaxational dynamics (together with path integrals) is applied to option pricing theory. A recently proposed model (by Ilinski et…

Statistical Mechanics · Physics 2009-10-31 Matthias Otto

Prediction of stock prices has been a crucial and challenging task, especially in the case of highly volatile digital currencies such as Bitcoin. This research examineS the potential of using neural network models, namely LSTMs and GRUs, to…

Statistical Finance · Quantitative Finance 2024-05-15 Ali Mohammadjafari

In financial markets, accurately measuring the risk of future fluctuations in asset prices is of paramount importance. Studies such as Carr and Madan have shown that the expected value of the quadratic variation of log prices can be…

Mathematical Finance · Quantitative Finance 2026-05-19 Masaaki Fukasawa , Shunta Murayama

We introduce a local volatility model for the valuation of options on commodity futures by using European vanilla option prices. The corresponding calibration problem is addressed within an online framework, allowing the use of multiple…

Computational Finance · Quantitative Finance 2016-02-16 Vinicius Albani , Uri M. Ascher , Jorge P. Zubelli

Anomalous diffusions arise as scaling limits of continuous-time random walks (CTRWs) whose innovation times are distributed according to a power law. The impact of a non-exponential waiting time does not vanish with time and leads to…

Pricing of Securities · Quantitative Finance 2020-04-13 Antoine Jacquier , Lorenzo Torricelli

The rapid development of information technology, especially the Internet, has facilitated users with a quick and easy way to seek information. With these convenience offered by internet services, many individuals who initially invested in…

Machine Learning · Computer Science 2024-03-07 Novan Fauzi Al Giffary , Feri Sulianta

High-dimensional time series are common in many domains. Since human cognition is not optimized to work well in high-dimensional spaces, these areas could benefit from interpretable low-dimensional representations. However, most…

Machine Learning · Computer Science 2019-01-07 Vincent Fortuin , Matthias Hüser , Francesco Locatello , Heiko Strathmann , Gunnar Rätsch

Financial markets tend to switch between various market regimes over time, making stationarity-based models unsustainable. We construct a regime-switching model independent of asset classes for risk-adjusted return predictions based on…

Computational Finance · Quantitative Finance 2021-07-13 Nicklas Werge

This paper shows how to recover a stochastic volatility model (SVM) from a market model of the VIX futures term structure. Market models have more flexibility for fitting of curves than do SVMs, and therefore are better suited for pricing…

Pricing of Securities · Quantitative Finance 2022-03-16 Andrew Papanicolaou

We consider stochastic volatility models under parameter uncertainty and investigate how model derived prices of European options are affected. We let the pricing parameters evolve dynamically in time within a specified region, and…

Mathematical Finance · Quantitative Finance 2018-07-12 Samuel N. Cohen , Martin Tegnér

We introduce a pricing kernel with time-varying volatility risk aversion to explain observed time variations in the shape of the pricing kernel. When combined with the Heston-Nandi GARCH model, this framework yields a tractable option…

Pricing of Securities · Quantitative Finance 2025-03-11 Peter Reinhard Hansen , Chen Tong

Recent empirical studies suggest that the volatilities associated with financial time series exhibit short-range correlations. This entails that the volatility process is very rough and its autocorrelation exhibits sharp decay at the…

Pricing of Securities · Quantitative Finance 2018-04-17 Josselin Garnier , Knut Solna

This paper studies pricing derivatives in an age-dependent semi-Markov modulated market. We consider a financial market where the asset price dynamics follow a regime switching geometric Brownian motion model in which the coefficients…

Pricing of Securities · Quantitative Finance 2019-10-21 Milan Kumar Das , Anindya Goswami , Tanmay S. Patankar

The use of factor stochastic volatility models requires choosing the number of latent factors used to describe the dynamics of the financial returns process; however, empirical evidence suggests that the number and makeup of pertinent…

Applications · Statistics 2019-03-06 Taylor R. Brown

We develop a quantum algorithm to price discretely monitored lookback options in the Black-Scholes framework using imaginary time evolution. By rewriting the pricing PDE as a Schrodinger-type equation, the problem becomes the imaginary time…

Computational Finance · Quantitative Finance 2026-04-02 Florence Paquette , Tania Belabbas , Emmanuel Hamel , Anne MacKay

When self-adaptive systems encounter changes within their surrounding environments, they enact tactics to perform necessary adaptations. For example, a self-adaptive cloud-based system may have a tactic that initiates additional computing…

Artificial Intelligence · Computer Science 2020-04-24 Jeffrey Palmerino , Qi Yu , Travis Desell , Daniel E. Krutz