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We develop quantum algorithms for pricing Asian and barrier options under the Heston model, a popular stochastic volatility model, and estimate their costs, in terms of T-count, T-depth and number of logical qubits, on instances under…

Quantum Physics · Physics 2024-10-23 Guoming Wang , Angus Kan

This paper is devoted to the price-storage dynamics in natural gas markets. A novel stochastic path-dependent volatility model is introduced with path-dependence in both price volatility and storage increments. Model calibrations are…

Mathematical Finance · Quantitative Finance 2025-07-22 Jinniao Qiu , Antony Ware , Yang Yang

We propose a new financial model, the stochastic volatility model with sticky drawdown and drawup processes (SVSDU model), which enables us to capture the features of winning and losing streaks that are common across financial markets but…

Mathematical Finance · Quantitative Finance 2025-03-20 Yuhao Liu , Pingping Jiang , Gongqiu Zhang

We study the dependence of volatility on the stock price in the stochastic volatility framework on the example of the Heston model. To be more specific, we consider the conditional expectation of variance (square of volatility) under fixed…

Pricing of Securities · Quantitative Finance 2011-07-29 Mikhail Martynov , Olga Rozanova

Demographic projections of future mortality rates involve a high level of uncertainty and require stochastic mortality models. The current paper investigates forward mortality models driven by a (possibly infinite dimensional) Wiener…

Probability · Mathematics 2025-11-21 Stefan Tappe , Stefan Weber

We consider the pricing problem related to payoffs that can have discontinuities of polynomial growth. The asset price dynamic is modeled within the Black and Scholes framework characterized by a stochastic volatility term driven by a…

Probability · Mathematics 2016-07-26 Viktor Bezborodov , Luca Di Persio , Yuliya Mishura

The discrete-time multifactor Vasi\v{c}ek model is a tractable Gaussian spot rate model. Typically, two- or three-factor versions allow one to capture the dependence structure between yields with different times to maturity in an…

Mathematical Finance · Quantitative Finance 2016-09-05 Philipp Harms , David Stefanovits , Josef Teichmann , Mario V. Wüthrich

Accurate forecasting of volatility and return quantiles is essential for evaluating financial tail risks such as value-at-risk and expected shortfall. This study proposes an extension of the traditional stochastic volatility model, termed…

Econometrics · Economics 2026-02-02 Makoto Takahashi , Yuta Yamauchi , Toshiaki Watanabe , Yasuhiro Omori

We present a Bayesian non-parametric way of inferring stochastic differential equations for both regression tasks and continuous-time dynamical modelling. The work has high emphasis on the stochastic part of the differential equation, also…

Machine Learning · Statistics 2020-06-29 Martin Jørgensen , Marc Peter Deisenroth , Hugh Salimbeni

Accurate prediction of financial market volatility is critical for risk management, derivatives pricing, and investment strategy. In this study, we propose a multitude of regime-switching methods to improve the prediction of S&P 500…

Statistical Finance · Quantitative Finance 2025-10-07 Ava C. Blake , Nivika A. Gandhi , Anurag R. Jakkula

In this article, we analyze two modeling approaches for the pricing of derivative contracts on a commodity index. The first one is a microscopic approach, where the components of the index are modeled individually, and the index price is…

Computational Finance · Quantitative Finance 2024-08-05 Alberto Manzano , Emanuele Nastasi , Andrea Pallavicini , Carlos Vázquez

The correlated stochastic volatility models constitute a natural extension of the Black and Scholes-Merton framework: here the volatility is not a constant, but a stochastic process correlated with the price log-return one. At present,…

Statistical Finance · Quantitative Finance 2008-12-02 E. Cisana , L. Fermi , G. Montagna , O. Nicrosini

In this work, we study statistical arbitrage strategies in international crude oil futures markets. We analyse strategies that extend classical pairs trading strategies, considering the two benchmark crude oil futures (Brent and WTI)…

General Finance · Quantitative Finance 2026-02-16 Viviana Fanelli , Claudio Fontana , Francesco Rotondi

In the option valuation literature, the shortcomings of one factor stochastic volatility models have traditionally been addressed by adding jumps to the stock price process. An alternate approach in the context of option pricing and…

Mathematical Finance · Quantitative Finance 2019-12-24 Gifty Malhotra , R. Srivastava , H. C. Taneja

We study a novel large dimensional approximate factor model with regime changes in the loadings driven by a latent first order Markov process. By exploiting the equivalent linear representation of the model, we first recover the latent…

Econometrics · Economics 2024-12-04 Matteo Barigozzi , Daniele Massacci

Successful forecasting models strike a balance between parsimony and flexibility. This is often achieved by employing suitable shrinkage priors that penalize model complexity but also reward model fit. In this note, we modify the stochastic…

Econometrics · Economics 2020-05-15 Florian Huber , Michael Pfarrhofer

Predicting corporate default risk has long been a crucial topic in the finance field, as bankruptcies impose enormous costs on market participants as well as the economy as a whole. This paper aims to forecast frailty correlated default…

Risk Management · Quantitative Finance 2023-08-22 Ha Nguyen

The authors present a new simple algorithm to approximate weakly stochastic differential equations in the spirit of [1] and [2]. They apply it to the problem of pricing Asian options under the Heston stochastic volatility model, and compare…

Probability · Mathematics 2025-04-28 Syoiti Ninomiya , Nicolas Victoir

A commonly used stochastic model for derivative and commodity market analysis is the Barndorff-Nielsen and Shephard (BN-S) model. Though this model is very efficient and analytically tractable, it suffers from the absence of long range…

Statistical Finance · Quantitative Finance 2022-01-26 Indranil SenGupta , William Nganje , Erik Hanson

We present a systematic, trend-following strategy, applied to commodity futures markets, that combines univariate trend indicators with cross-sectional trend indicators that capture so-called {\em momentum spillover}, which can occur when…

Trading and Market Microstructure · Quantitative Finance 2025-01-14 Linze Li , William Ferreira
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