We consider in this paper the mean-variance formulation in multi-period portfolio selection under no-shorting constraint. Recognizing the structure of a piecewise quadratic value function, we prove that the optimal portfolio policy is piecewise linear with respect to the current wealth level,...

When a dynamic optimization problem is not decomposable by a stage-wise backward recursion, it is nonseparable in the sense of dynamic programming. The classical dynamic programming-based optimal stochastic control methods would fail in such nonseparable situations as the principle of optimality...

This paper is concerned with optimal multi-period asset-liability mean-variance portfolio selection with an uncertain exit time. By extending the current mean-field theory and proposing two dimensional mean-field formulation, the analytical optimal strategies and efficient frontiers are...