Before revision:  By employing the dual transform and smooth-fit principle,  the classical solution of the HJB equation is obtained in an analytical form, which in turn provides the feedback optimal investment and consumption . For 0<\lambda<1, we are able to find four boundary curves x_1(h), (h), x_2(h) and x_3(h) for the wealth level x that are nonlinear functions of h such that the feedback optimal consumption satisfies: (i) c^*(x,h)=0 when x\leq x_1(h);
After revision:  By employing the dual transform and smooth-fit principle, the classical solution of the HJB equation is obtained in an analytical form, which in turn provides the feedback optimal investment and consumption  (h), x_2(h) and x_3(h) for the wealth level x that are nonlinear functions of h such that the feedback optimal consumption satisfies: (i) c^*(x,h)=0 when x\leq x_1(h);