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Mounting empirical evidence suggests that the observed extreme prices within a trading period can provide valuable information about the volatility of the process within that period. In this paper we define a class of stochastic volatility…

Statistical Finance · Quantitative Finance 2009-01-12 Abel Rodriguez , Henryk Gzyl , German Molina , Enrique ter Horst

For quantitative trading risk management purposes, we present a novel idea: the realized local volatility surface. Concisely, it stands for the conditional expected volatility when sudden market behaviors of the underlying occur. One is…

Risk Management · Quantitative Finance 2025-05-01 Yuming Ma , Shintaro Sengoku , Kazuhide Nakata

We apply convex regularization techniques to the problem of calibrating the local volatility surface model of Dupire taking into account the practical requirement of discrete grids and noisy data. Such requirements are the consequence of…

Numerical Analysis · Mathematics 2013-08-13 Vinicius V. L. Albani , Adriano De Cezaro , Jorge Passamani Zubelli

We consider change point detection for the volatility in second order linear parabolic stochastic partial differential equations based on high frequency spatio-temporal data. We give a test statistic to detect changes in the volatility…

Statistics Theory · Mathematics 2025-12-02 Yozo Tonaki , Yusuke Kaino , Masayuki Uchida

This paper introduces a unified approach for modeling high-frequency financial data that can accommodate both the continuous-time jump-diffusion and discrete-time realized GARCH model by embedding the discrete realized GARCH structure in…

Methodology · Statistics 2020-06-16 Xinyu Song , Donggyu Kim , Huiling Yuan , Xiangyu Cui , Zhiping Lu , Yong Zhou , Yazhen Wang

Financial markets for Liquified Natural Gas (LNG) are an important and rapidly-growing segment of commodities markets. Like other commodities markets, there is an inherent spatial structure to LNG markets, with different price dynamics for…

Risk Management · Quantitative Finance 2019-07-25 Michael Weylandt , Yu Han , Katherine B. Ensor

Based on a continuous-time stochastic volatility model with a linear drift, we develop a test for explosive behavior in financial asset prices at a low frequency when prices are sampled at a higher frequency. The test exploits the…

Econometrics · Economics 2024-05-06 H. Peter Boswijk , Jun Yu , Yang Zu

We consider parametric estimation for a parabolic linear second order stochastic partial differential equation (SPDE) from high frequency data which are observed in time and space. By using thinned data obtained from the high frequency…

Statistics Theory · Mathematics 2019-10-01 Yusuke Kaino , Masayuki Uchida

In this article we look at stochastic processes with uncertain parameters, and consider different ways in which information is obtained when carrying out observations. For example we focus on the case of a the random evolution of a traded…

Mathematical Finance · Quantitative Finance 2024-07-08 Will Hicks

Forecasting central bank policy decisions remains a persistent challenge for investors, financial institutions, and policymakers due to the wide-reaching impact of monetary actions. In particular, anticipating shifts in the U.S. federal…

Portfolio Management · Quantitative Finance 2025-07-01 Fiona Xiao Jingyi , Lili Liu

With the increasing volume of high-frequency data in the information age, both challenges and opportunities arise in the prediction of stock volatility. On one hand, the outcome of prediction using tradition method combining stock technical…

Statistical Finance · Quantitative Finance 2023-09-29 Wenting Liu , Zhaozhong Gui , Guilin Jiang , Lihua Tang , Lichun Zhou , Wan Leng , Xulong Zhang , Yujiang Liu

Due to the liberalization of markets, the change in the energy mix and the surrounding energy laws, electricity research is a dynamically altering field with steadily changing challenges. One challenge especially for investment decisions is…

Statistical Finance · Quantitative Finance 2018-12-27 Rick Steinert , Florian Ziel

This paper studies the problem of trading futures with transaction costs when the underlying spot price is mean-reverting. Specifically, we model the spot dynamics by the Ornstein-Uhlenbeck (OU), Cox-Ingersoll-Ross (CIR), or exponential…

Mathematical Finance · Quantitative Finance 2016-01-19 Tim Leung , Jiao Li , Xin Li , Zheng Wang

We construct realistic spot and equity option market simulators for a single underlying on the basis of normalizing flows. We address the high-dimensionality of market observed call prices through an arbitrage-free autoencoder that…

Computational Finance · Quantitative Finance 2021-12-14 Magnus Wiese , Ben Wood , Alexandre Pachoud , Ralf Korn , Hans Buehler , Phillip Murray , Lianjun Bai

This paper examines the problem of pricing spread options under some models with jumps driven by Compound Poisson Processes and stochastic volatilities in the form of Cox-Ingersoll-Ross(CIR) processes. We derive the characteristic function…

Pricing of Securities · Quantitative Finance 2014-09-04 Pablo Olivares , Matthew Cane

We propose a novel framework for modeling time-varying persistence in economic time series, allowing for smoothly evolving heterogeneity in shock dynamics. We leverage localized regression techniques to flexibly identify changes in…

General Finance · Quantitative Finance 2025-06-06 Jozef Barunik , Lukas Vacha

Maximum likelihood estimation applied to high-frequency data allows us to quantify intermittency in the fluctu- ations of asset prices. From time records as short as one month these methods permit extraction of a meaningful intermittency…

Statistical Finance · Quantitative Finance 2015-06-04 Martin Rypdal , Espen Sirnes , Ola Løvsletten , Kristoffer Rypdal

We consider a class of asset pricing models, where the risk-neutral joint process of log-price and its stochastic variance is an affine process in the sense of Duffie, Filipovic and Schachermayer [2003]. First we obtain conditions for the…

Pricing of Securities · Quantitative Finance 2008-12-02 Martin Keller-Ressel

It is a market practice to express market-implied volatilities in some parametric form. The most popular parametrizations are based on or inspired by an underlying stochastic model, like the Heston model (SVI method) or the SABR model (SABR…

Mathematical Finance · Quantitative Finance 2026-01-06 Nicola F. Zaugg , Leonardo Perotti , Lech A. Grzelak

Though simple inflationary models describe the CMB well, their corrections are often plagued by infrared effects that obstruct a reliable calculation of late-time behaviour. We adapt to cosmology tools designed to address similar issues in…

General Relativity and Quantum Cosmology · Physics 2016-08-30 C. P. Burgess , R. Holman , G. Tasinato