  We provide an extension of the explicit solution of a mixed optimal
stopping-optimal stochastic control problem introduced by Henderson and Hobson.
The problem examines wether the optimal investment problem on a local
martingale financial market is affected by the optimal liquidation of an
independent indivisible asset. The indivisible asset process is defined by a
homogeneous scalar stochastic differential equation, and the investor's
preferences are defined by a general expected utility function. The value
function is obtained in explicit form, and we prove the existence of an optimal
stopping-investment strategy characterized as the limit of an explicit
maximizing strategy. Our approach is based on the standard dynamic programming
approach.
