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This work relies on the results of a model presented by Fatone, L., Mariani, F., Recchioni, M.C. and Zirilli, F. (2014) (A Trading Execution Model Based on Mean Field Games and Optimal Control) and is its extension. We present a trading execution model of professional trader and retail traders on financial market. The behavior of retail traders is described by a system of PDE's that, by some assumptions, can be reduced to ODE's system. The optimal strategy of professional trader is based on optimal control theory.