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Continuous time mean-variance portfolio selection with nonlinear wealth equations and random coefficients. (arXiv:1705.06141v1 [q-fin.MF])

来源于:arXiv
This paper concerns the continuous time mean-variance portfolio selection problem with a special nonlinear wealth equation. This nonlinear wealth equation has nonsmooth random coefficients and the dual method developed in [7] does not work. To apply the completion of squares technique, we introduce two Riccati equations to cope with the positive and negative part of the wealth process separately. We obtain the efficient portfolio strategy and efficient frontier for this problem. Finally, we find the appropriate sub-derivative claimed in [7] using convex duality method. 查看全文>>