This paper derives explicit closed form solutions, for the efficient frontier and optimal investment strategy, for the dynamic mean-variance portfolio selection problem under the constraint of a higher borrowing rate. The method used is the Hamilton-Jacobi-Bellman (HJB) equation in a stochastic...

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,...

This paper studies the problem of pricing high-dimensional American options. We propose a method based on the state-space partitioning algorithm developed by Jin et al. (2007) and a dimension-reduction approach introduced by Li and Wu (2006). By applying the approach in the present paper, the...