We provide a representation for the nonmyopic optimal portfolio of an agentconsuming only at the terminal horizon when the single state variable follows ageneral diusion process and the market consists of one risky asset and a risk-freeasset. The key term of our representation is a new object...

We provide a new method to derive the state price density per unit probabilitybased on option prices and GARCH model. We derive the risk neutraldistribution using the result in Breeden and Litzenberger (1978) and thehistorical density adapting the GARCH model of Barone-Adesi, Engle, andMancini...