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http://dx.doi.org/10.7468/jksmeb.2011.18.2.129

BUYING AND SELLING RULES FOR A SIMPLE TRANSACTION OF A MEAN-REVERTING ASSET  

Shin, Dong-Hoon (Institute for Quantitative Finance and Technology, Korea University)
Publication Information
The Pure and Applied Mathematics / v.18, no.2, 2011 , pp. 129-139 More about this Journal
Abstract
We consider an optimal trading rule in this paper. We assume that the underlying asset follows a mean-reverting process and the transaction consists of one buying and one selling. To maximize the profit, we find price levels to buy low and to sell high. Associated HJB equations are used to formulate the value function. A verification theorem is provided for sufficient conditions. We conclude the paper with a numerical example.
Keywords
mean-reversion; regime switching; optimal stopping;
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