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We study the pricing problem for a European call option when the volatility of the underlying asset is random and follows the exponential Ornstein-Uhlenbeck model. The random diffusion model proposed is a two-dimensional market process that…

Pricing of Securities · Quantitative Finance 2008-12-02 Josep Perello , Ronnie Sircar , Jaume Masoliver

The paper develops a typical management problem of a large power producer (i.e., he can partly influence the market price). In particular, he routinely needs to decide how much of his generation it is preferable to commit to fixed price…

Optimization and Control · Mathematics 2023-03-01 Paolo Falbo , Carlos Ruiz

The freight industry is undergoing a digital revolution, with an ever-growing volume of transactions being facilitated by digital marketplaces. A core capability of these marketplaces is the fulfillment of demand for truckload movements…

Data Structures and Algorithms · Computer Science 2026-03-26 Philip Kaminsky , Rachitesh Kumar , Roger Lederman

We study an optimal execution problem in the presence of market impact where the security price follows a geometric Ornstein-Uhlenbeck process, which implies the mean-reverting property, and show that the optimal strategy is a mixture of…

Trading and Market Microstructure · Quantitative Finance 2014-07-30 Takashi Kato

We investigate high frequency price dynamics in foreign exchange market using data from Reuters information system (the dataset has been provided to us by Ols en & Associates). In our analysis we show that a na\"ive approach to the…

Condensed Matter · Physics 2009-11-10 Filippo Petroni , Maurizio Serva

Order placement tactics play a crucial role in high-frequency trading algorithms and their design is based on understanding the dynamics of the order book. Using high quality high-frequency data and a set of microstructural features, we…

Trading and Market Microstructure · Quantitative Finance 2024-09-30 Timothée Fabre , Vincent Ragel

We investigate the problem of pricing derivatives under a fractional stochastic volatility model. We obtain an approximate expression of the derivative price where the stochastic volatility can be composed of deterministic functions of time…

Pricing of Securities · Quantitative Finance 2022-10-28 Yuecai Han , Xudong Zheng

We propose a price impact model where changes in prices are purely driven by the order flow in the market. The stochastic price impact of market orders and the arrival rates of limit and market orders are functions of the market liquidity…

Trading and Market Microstructure · Quantitative Finance 2024-12-18 Peter Bank , Álvaro Cartea , Laura Körber

We describe a model for evolving commodity forward prices that incorporates three important dynamics which appear in many commodity markets: mean reversion in spot prices and the resulting Samuelson effect on volatility term structure,…

Pricing of Securities · Quantitative Finance 2017-08-10 Mark Higgins

We study an optimal portfolio problem designed for an agent operating in intraday electricity markets. The investor is allowed to trade in a single risky asset modelling the continuously traded power and aims to maximize the expected…

Portfolio Management · Quantitative Finance 2018-07-06 Marco Piccirilli , Tiziano Vargiolu

When stock prices are observed at high frequencies, more information can be utilized in estimation of parameters of the price process. However, high-frequency data are contaminated by the market microstructure noise which causes significant…

Statistical Finance · Quantitative Finance 2025-10-21 Vladimír Holý , Petra Tomanová

Partially convertible economies face a market-design problem: trade integration, cross-border investment, and domestic balance-sheet exposure increase the demand for currency hedging before full financial integration is complete. China…

Mathematical Finance · Quantitative Finance 2026-05-26 Samuel Drapeau , Peng Luo , Xuan Tao , Tan Wang

This paper studies the timing of trades under mean-reverting price dynamics subject to fixed transaction costs. We solve an optimal double stopping problem to determine the optimal times to enter and subsequently exit the market, when…

Trading and Market Microstructure · Quantitative Finance 2015-04-21 Tim Leung , Xin Li , Zheng Wang

In this paper we study the pricing of exchange options under a dynamic described by stochastic correlation with random jumps. In particular, we consider a Ornstein-Uhlenbeck covariance model with Levy Background Noise Process driven by…

Computational Finance · Quantitative Finance 2017-11-29 Olivares Pablo , Villamor Enrique

A technique for on-line estimation of spot volatility for high-frequency data is developed. The algorithm works directly on the transaction data and updates the volatility estimate immediately after the occurrence of a new transaction.…

Methodology · Statistics 2013-01-15 Rainer Dahlhaus , Jan C. Neddermeyer

In this paper we complete and extend our previous work on stochastic control applied to high frequency market-making with inventory constraints and directional bets. Our new model admits several state variables (e.g. market spread,…

Trading and Market Microstructure · Quantitative Finance 2013-04-03 Pietro Fodra , Mauricio Labadie

Trading large volumes of a financial asset in order driven markets requires the use of algorithmic execution dividing the volume in many transactions in order to minimize costs due to market impact. A proper design of an optimal execution…

Trading and Market Microstructure · Quantitative Finance 2015-06-05 Enzo Busseti , Fabrizio Lillo

We discuss stochastic modeling of volatility persistence and anti-correlations in electricity spot prices, and for this purpose we present two mean-reverting versions of the multifractal random walk (MRW). In the first model the…

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

Finding Bertram's optimal trading strategy for a pair of cointegrated assets following the Ornstein--Uhlenbeck price difference process can be formulated as an unconstrained convex optimization problem for maximization of expected profit…

Mathematical Finance · Quantitative Finance 2022-11-23 Vladimír Holý , Michal Černý

A new multi-factor short rate model is presented which is bounded from below by a real-valued function of time. The mean-reverting short rate process is modeled by a sum of pure-jump Ornstein--Uhlenbeck processes such that the related bond…

Mathematical Finance · Quantitative Finance 2020-06-29 Markus Hess