Optimal trading strategies for Itô diffusion processes

William K. Bertram

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 14, 2865-2873

Abstract: In this paper we present a method for determining optimal trading strategies for Itô diffusion processes. By framing the problem in terms of the first passage time for the process we derive distribution and density functions for the trade length and use these functions to calculate the expected trading frequency for the strategy. The expected value and the variance of the rate of profit are obtained as functions of the return per trade and trading frequency. We present two measures for trade drawdown which may be used as constraints when determining an optimal strategy. The optimal strategy is calculated for the Ornstein–Uhlenbeck process by maximising the expected rate of profit.

Keywords: Econophysics; Stochastic processes; First passage time (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:14:p:2865-2873

DOI: 10.1016/j.physa.2009.04.004

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