This paper provides (i) new results on the structure of optimal portfolios, (ii) economic insights on the behavior of the hedging components and (iii) an analysis of simulation-based numerical methods. The core of our approach relies on closed form solutions for Melliavin derivatives of...

In the standard consumption capital asset pricing model (CCAPM), the curvature of the investor's utility function captures two aspects of preferences: as the concavity of the function increases so does his aversion to risk as well as his desire to smooth consumption intertemporally. This...