Optimal trading strategy under linear-percentage temporary impact price dynamics with conditional value-at-risk as timing risk measure Online publication date: Tue, 24-Jan-2017
by Arti Singh; Selvamuthu Dharmaraja
International Journal of Decision Support Systems (IJDSS), Vol. 2, No. 1/2/3, 2016
Abstract: This paper attempts to solve constrained optimal trading problem of minimising expected execution cost subject to non-negativity constraints for risk neutral as well as risk averse investors. The optimal trading problems are modelled under linear-percentage temporary impact price dynamics (LPT price model) of underlying asset's execution price dynamics. The algorithm to solve optimal trading problem with non-negativity constraints under LPT price model by static approximation method (SA method) is detailed. Furthermore, a comprehensive discussion of applicability of other existing approaches in literature to solve proposed problems and, their limitations are presented to justify use of SA method for the same. In case of a risk averse investor, the conditional value-at-risk (CVaR) is taken as a measure for the timing risk. The extensive numerical illustrations on simulated data as well as on the real market data depict the practical significance of the proposed optimal trading problems.
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