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We propose a neural network-based approach to calibrating stochastic volatility models, which combines the pioneering grid approach by Horvath et al. (2021) with the pointwise two-stage calibration of Bayer et al. (2018) and Liu et al.…

Pricing of Securities · Quantitative Finance 2024-01-15 Fabio Baschetti , Giacomo Bormetti , Pietro Rossi

We review the dynamics of the returns of Leveraged Exchange Traded Funds (LETFs) and propose a new measure of realized volatility: Shortfall from Maximum Convexity. We show that SMC has a more intuitive interpretation and provides more…

Statistical Finance · Quantitative Finance 2015-10-06 Matthew Ginley

Volatility means the degree of variation of a stock price which is important in finance. Realized Volatility (RV) is an estimator of the volatility calculated using high-frequency observed prices. RV has lately attracted considerable…

Econometrics · Economics 2024-09-02 Toru Yano

The aim of this study was to develop methods for evaluating the American-style option prices when the volatility of the underlying asset is described by a stochastic process. As part of this problem were developed techniques for modeling…

Pricing of Securities · Quantitative Finance 2010-09-29 Yu. A. Kuperin , P. A. Poloskov

This paper builds a model of high-frequency equity returns by separately modeling the dynamics of trade-time returns and trade arrivals. Our main contributions are threefold. First, we characterize the distributional behavior of…

Trading and Market Microstructure · Quantitative Finance 2014-09-02 Eric M. Aldrich , Indra Heckenbach , Gregory Laughlin

With the development of high performance computer and experimental technology, the study of turbulence has accumulated a large number of high fidelity data. However, few general turbulence knowledge has been found from the data. So we use…

Fluid Dynamics · Physics 2024-06-17 ZhongXin Yang , XiangLin Shan , WeiWei Zhang

In this paper we consider a fractional stochastic volatility model, that is a model in which the volatility may exhibit a long-range dependent or a rough/antipersistent behavior. We propose a dynamic sequential Monte Carlo methodology that…

Methodology · Statistics 2017-02-28 Alexandra Chronopoulou , Konstantinos Spiliopoulos

In order to estimate the conditional risk of a portfolio's return, two strategies can be advocated. A multivariate strategy requires estimating a dynamic model for the vector of risk factors, which is often challenging, when at all…

Econometrics · Economics 2019-09-12 Christian Francq , Jean-Michel Zakoian

The estimation of loss distributions for dynamic portfolios requires the simulation of scenarios representing realistic joint dynamics of their components. We propose a novel data-driven approach for simulating realistic, high-dimensional…

Risk Management · Quantitative Finance 2025-05-19 Rama Cont , Mihai Cucuringu , Renyuan Xu , Chao Zhang

Given discrete time observations over a fixed time interval, we study a nonparametric Bayesian approach to estimation of the volatility coefficient of a stochastic differential equation. We postulate a histogram-type prior on the volatility…

Methodology · Statistics 2019-04-01 Shota Gugushvili , Frank van der Meulen , Moritz Schauer , Peter Spreij

Volatility clustering is a common phenomenon in financial time series. Typically, linear models can be used to describe the temporal autocorrelation of the (logarithmic) variance of returns. Considering the difficulty in estimating this…

Computational Finance · Quantitative Finance 2022-10-21 Di Zhang , Qiang Niu , Youzhou Zhou

Direct numerical simulations of turbulent flow in a channel with one rigid and one viscoelastic wall are performed. An Eulerian-Eulerian model is adopted with a level-set approach to identify the fluid-compliant material interface. Focus is…

Fluid Dynamics · Physics 2021-11-03 Amir Esteghamatian , Joseph Katz , Tamer A. Zaki

Volatility estimation is a central problem in financial econometrics, but becomes particularly challenging when jump activity is high, a phenomenon observed empirically in highly traded financial securities. In this paper, we revisit the…

Econometrics · Economics 2026-05-13 B. Cooper Boniece , José E. Figueroa-López , Tianwei Zhou

This work studies the dynamic risk management of the risk-neutral value of the potential credit losses on a portfolio of derivatives. Sensitivities-based hedging of such liability is sub-optimal because of bid-ask costs, pricing models…

Computational Finance · Quantitative Finance 2023-12-22 Roberto Daluiso , Marco Pinciroli , Michele Trapletti , Edoardo Vittori

The small-scale velocity gradient is connected to fundamental properties of turbulence at the large scales. By neglecting the viscous and nonlocal pressure Hessian terms, we derive a restricted Euler model for the turbulent flow along an…

Fluid Dynamics · Physics 2025-01-15 Yinghe Qi , Zhenwei Xu , Filippo Coletti

We propose a new static parameterization of the implied volatility surface which is constructed by using polynomials of sigmoid functions combined with some other terms. This parameterization is flexible enough to fit market implied…

Mathematical Finance · Quantitative Finance 2014-12-09 Andrey Itkin

We present a deep learning framework for pricing options based on market-implied volatility surfaces. Using end-of-day S\&P 500 index options quotes from 2018-2023, we construct arbitrage-free volatility surfaces and generate training data…

Computational Finance · Quantitative Finance 2025-09-09 Lijie Ding , Egang Lu , Kin Cheung

Volatility of financial stock is referring to the degree of uncertainty or risk embedded within a stock's dynamics. Such risk has been received huge amounts of attention from diverse financial researchers. By following the concept of…

Statistical Finance · Quantitative Finance 2021-10-25 Xiaodong Wang , Fushing Hsieh

We present a Hawkes modeling of the volatility surface's high-frequency dynamics and show how the Hawkes kernel coefficients govern the surface's skew and convexity. We provide simple sufficient conditions on the coefficients to ensure…

Trading and Market Microstructure · Quantitative Finance 2020-12-22 Bastien Baldacci

This paper investigates how realized and option implied volatilities are related to the future quantiles of commodity returns. Whereas realized volatility measures ex-post uncertainty, volatility implied by option prices reveals the…

Risk Management · Quantitative Finance 2018-08-01 František Čech , Jozef Baruník