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We develop a theoretical trading conditioning model subject to price volatility and return information in terms of market psychological behavior, based on analytical transaction volume-price probability wave distributions in which we use…

Trading and Market Microstructure · Quantitative Finance 2010-02-09 Leilei Shi , Yiwen Wang , Ding Chen , Liyan Han , Yan Piao , Chengling Gou

We consider a price-maker company which generates electricity and sells it in the spot market. The company can increase its level of installed power by irreversible installations of solar panels. In absence of the company's economic…

Optimization and Control · Mathematics 2019-11-12 Torben Koch , Tiziano Vargiolu

In this chapter, we consider volatility swap, variance swap and VIX future pricing under different stochastic volatility models and jump diffusion models which are commonly used in financial market. We use convexity correction approximation…

Mathematical Finance · Quantitative Finance 2017-12-08 Anatoliy Swishchuk , Zijia Wang

In this paper the valuation problem of a European call option in presence of both stochastic volatility and transaction costs is considered. In the limit of small transaction costs and fast mean reversion, an asymptotic expression for the…

Pricing of Securities · Quantitative Finance 2012-11-20 R. E. Caflisch , G. Gambino , M. Sammartino , C. Sgarra

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

The Merton investment-consumption problem is fundamental, both in the field of finance, and in stochastic control. An important extension of the problem adds transaction costs, which is highly relevant from a financial perspective but also…

General Economics · Economics 2024-02-14 Martin Herdegen , David Hobson , Alex S. L. Tse

We study optimal liquidation in the presence of linear temporary and transient price impact along with taking into account a general price predicting finite-variation signal. We formulate this problem as minimization of a cost-risk…

Trading and Market Microstructure · Quantitative Finance 2022-01-17 Eyal Neuman , Moritz Voß

We propose a formulation to construct new classes of financial price processes based on the insight that the key variable driving prices $P$ is the earning-over-price ratio $\gamma \simeq 1/P$, which we refer to as the earning yield and is…

Mathematical Finance · Quantitative Finance 2023-06-21 Li Lin , Didier Sornette

Over the past few years, the futures market has been successfully developing in the North-West region. Futures markets are one of the most effective and liquid-visible trading mechanisms. A large number of buyers are forced to compete with…

Mathematical Finance · Quantitative Finance 2018-08-16 Oleg Malafeyev , Shulga Andrey

This paper investigates problems associated with the valuation of callable American volatility put options. Our approach involves modeling volatility dynamics as a mean-reverting 3/2 volatility process. We first propose a pricing formula…

Pricing of Securities · Quantitative Finance 2021-04-05 Hsuan-Ku Liu

This paper studies the problem of option replication in general stochastic volatility markets with transaction costs, using a new specification for the volatility adjustment in Leland's algorithm \cite{Leland}. We prove several limit…

Mathematical Finance · Quantitative Finance 2015-07-10 Thai Huu Nguyen , Serguei Pergamenshchikov

Electricity is traded on various markets with different time horizons and regulations. Short-term intraday trading becomes increasingly important due to the higher penetration of renewables. In Germany, the intraday electricity price…

Machine Learning · Computer Science 2023-03-13 Eike Cramer , Dirk Witthaut , Alexander Mitsos , Manuel Dahmen

We introduce a multi-factor stochastic volatility model based on the CIR/Heston stochastic volatility process. In order to capture the Samuelson effect displayed by commodity futures contracts, we add expiry-dependent exponential damping…

Pricing of Securities · Quantitative Finance 2015-02-23 Lorenz Schneider , Bertrand Tavin

Motivated by the recently launched mobile data trading markets (e.g., China Mobile Hong Kong's 2nd exChange Market), in this paper we study the mobile data trading problem under the future data demand uncertainty. We introduce a…

Computer Science and Game Theory · Computer Science 2017-02-10 Junlin Yu , Man Hon Cheung , Jianwei Huang , H. Vincent Poor

In this paper, we study the Ornstein-Uhlenbeck bridge process (i.e. the Ornstein-Uhlenbeck process conditioned to start and end at fixed points) constraints to have a fixed area under its path. We present both anticipative (in this case, we…

Statistical Mechanics · Physics 2017-10-11 Alain Mazzolo

In this work we propose a option pricing model based on the Ornstein-Uhlenbeck process. It is a new look at the Black-Scholes formula which is based on the quantum game theory. We show the differences between a classical look which is price…

Quantum Physics · Physics 2009-11-11 Edward W. Piotrowski , Malgorzata Schroeder , Anna Zambrzycka

This article examines arbitrage investment in a mispriced asset when the mispricing follows the Ornstein-Uhlenbeck process and a credit-constrained investor maximizes a generalization of the Kelly criterion. The optimal differentiable and…

Optimization and Control · Mathematics 2008-12-02 Vladislav Kargin

In this paper we derive semi-closed form prices of barrier (perhaps, time-dependent) options for the Hull-White model, ie., where the underlying follows a time-dependent OU process with a mean-reverting drift. Our approach is similar to…

Computational Finance · Quantitative Finance 2020-09-21 Andrey Itkin , Dmitry Muravey

Trading a financial asset pushes its price as well as the prices of other assets, a phenomenon known as cross-impact. The empirical estimation of this effect on complex financial instruments, such as derivatives, is an open problem. To…

Trading and Market Microstructure · Quantitative Finance 2022-03-30 Mehdi Tomas , Iacopo Mastromatteo , Michael Benzaquen

Semi-analytical pricing of American options in a time-dependent Ornstein-Uhlenbeck model was presented in [Carr, Itkin, 2020]. It was shown that to obtain these prices one needs to solve (numerically) a nonlinear Volterra integral equation…

Computational Finance · Quantitative Finance 2023-07-27 Andrey Itkin , Dmitry Muravey