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Motivated by the industry practice of pairs trading, we study the optimal timing strategies for trading a mean-reverting price spread. An optimal double stopping problem is formulated to analyze the timing to start and subsequently…

Trading and Market Microstructure · Quantitative Finance 2015-05-15 Tim Leung , Xin Li

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 study several optimal stopping problems that arise from trading a mean-reverting price spread over a finite horizon. Modeling the spread by the Ornstein-Uhlenbeck process, we analyze three different trading strategies: (i) the long-short…

Trading and Market Microstructure · Quantitative Finance 2017-01-12 Tim Leung , Yerkin Kitapbayev

We study the optimal timing strategies for trading a mean-reverting price process with afinite deadline to enter and a separate finite deadline to exit the market. The price process is modeled by a diffusion with an affine drift that…

Trading and Market Microstructure · Quantitative Finance 2018-01-09 Yerkin Kitapbayev , Tim Leung

Trailing stop is a popular stop-loss trading strategy by which the investor will sell the asset once its price experiences a pre-specified percentage drawdown. In this paper, we study the problem of timing buy and then sell an asset subject…

Mathematical Finance · Quantitative Finance 2019-03-26 Tim Leung , Hongzhong Zhang

When prices reflect all available information, they oscillate around an equilibrium level. This oscillation is the result of the temporary market impact caused by waves of buyers and sellers. This price behavior can be approximated through…

Trading and Market Microstructure · Quantitative Finance 2020-03-25 Alexander Lipton , Marcos Lopez de Prado

This paper studies the optimal risk-averse timing to sell a risky asset. The investor's risk preference is described by the exponential, power, or log utility. Two stochastic models are considered for the asset price -- the geometric…

Mathematical Finance · Quantitative Finance 2016-10-27 Tim Leung , Zheng Wang

We consider the problem of the optimal trading strategy in the presence of linear costs, and with a strict cap on the allowed position in the market. Using Bellman's backward recursion method, we show that the optimal strategy is to switch…

Portfolio Management · Quantitative Finance 2012-03-28 Joachim de Lataillade , Cyril Deremble , Marc Potters , Jean-Philippe Bouchaud

We propose a strategy for automated trading, outline theoretical justification of the profitability of this strategy and overview the hypothetical results in application to currency pairs trading. The proposed methodology relies on the…

Trading and Market Microstructure · Quantitative Finance 2015-07-09 Grigory Temnov

In this paper, we explore an optimal timing strategy for the trading of price spreads exhibiting mean-reverting characteristics. A sequential optimal stopping framework is formulated to analyze the optimal timings for both entering and…

Computational Finance · Quantitative Finance 2024-03-06 Boming Ning , Prakash Chakraborty , Kiseop Lee

A pair trade is a portfolio consisting of a long position in one asset and a short position in another, and it is a widely applied investment strategy in the financial industry. Recently, Ekstr\"om, Lindberg and Tysk studied the problem of…

Computational Finance · Quantitative Finance 2013-07-16 Stig Larsson , Carl Lindberg , Marcus Warfheimer

We investigate a dividend maximization problem under stochastic interest rates with Ornstein-Uhlenbeck dynamics. This setup also takes negative rates into account. First a deterministic time is considered, where an explicit separating curve…

Optimization and Control · Mathematics 2021-08-03 Julia Eisenberg , Stefan Kremsner , Alexander Steinicke

We study the optimal timing of derivative purchases in incomplete markets. In our model, an investor attempts to maximize the spread between her model price and the offered market price through optimally timing her purchase. Both the…

Pricing of Securities · Quantitative Finance 2011-10-12 Tim Leung , Michael Ludkovski

In this work we study a continuous time exponential utility maximization problem in the presence of a linear temporary price impact. More precisely, for the case where the risky asset is given by the Ornstein-Uhlenbeck diffusion process we…

Portfolio Management · Quantitative Finance 2025-10-01 Yan Dolinsky

This paper studies an optimal trading problem that incorporates the trader's market view on the terminal asset price distribution and uninformative noise embedded in the asset price dynamics. We model the underlying asset price evolution by…

Mathematical Finance · Quantitative Finance 2018-08-07 Tim Leung , Jiao Li , Xin Li

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 study the problem of dynamically trading multiple futures whose underlying asset price follows a multiscale central tendency Ornstein-Uhlenbeck (MCTOU) model. Under this model, we derive the closed-form no-arbitrage prices for the…

Mathematical Finance · Quantitative Finance 2021-02-26 Tim Leung , Yang Zhou

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 conduct a preliminary analysis of a pairs trading strategy using the Ornstein-Uhlenbeck (OU) process to model stock price spreads. We compare this approach to a naive pairs trading strategy that uses a rolling window to calculate mean…

Trading and Market Microstructure · Quantitative Finance 2024-12-18 Jirat Suchato , Sean Wiryadi , Danran Chen , Ava Zhao , Michael Yue

We study optimal stopping problems related to the pricing of perpetual American options in an extension of the Black-Merton-Scholes model in which the dividend and volatility rates of the underlying risky asset depend on the running values…

Probability · Mathematics 2014-05-20 Pavel V. Gapeev , Neofytos Rodosthenous
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