Application of continuous-time random walk to statistical arbitrage

An analytical statistical arbitrage strategy is proposed, where the distribution of the spread is modelled as a continuous-time random walk. Optimal boundaries, computed as a function of the mean and variance of the firstpassage time ofthe spread,maximises an objective function. The predictability...

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Bibliographic Details
Main Authors: Sergey Osmekhin, Fr´ed´eric D´el`eze
Format: Article
Language:English
Published: Eastern Macedonia and Thrace Institute of Technology 2015-01-01
Series:Journal of Engineering Science and Technology Review
Subjects:
Online Access:http://www.jestr.org/downloads/Volume8Issue1/fulltext168115.pdf
Description
Summary:An analytical statistical arbitrage strategy is proposed, where the distribution of the spread is modelled as a continuous-time random walk. Optimal boundaries, computed as a function of the mean and variance of the firstpassage time ofthe spread,maximises an objective function. The predictability of the trading strategy is analysed and contrasted for two forms of continuous-time random walk processes. We found that the waiting-time distribution has a significant impact on the prediction of the expected profit for intraday trading
ISSN:1791-2377
1791-2377