A market is described by two correlated asset prices. But only one of them is traded while the contingent claim is a function of both assets. We solve the mean-variance hedging prob- lem completely and prove that the optimal strategy consists of a modified pure hedge expressible in terms of the...

A market is described by two correlated asset prices. But only one of them is traded while the contingent claim is a function of both assets. We solve the mean-variance hedging prob- lem completely and prove that the optimal strategy consists of a modified pure hedge expressible in terms of the...

We review the relations between adjoints of stochastic control problems with the derivative of the value function, and the latter with the value function of a stopping problem. These results are applied to the pricing of contingent claims.

Asset price processes are completely described by information processes and investors´ preferences. In this paper we derive the relationship between the process of investors´ expectations of the terminal stock price and asset prices in a general continous time pricing kernel framework. To...

Asset price processes are completely described by information processes and investors' preferences. In this paper we derive the relationship between the process of investors ́expectations of the terminal stock price and asset prices in a general continous time pricing kernel framework. To...

Asset price processes are completely described by information processes and investors´ preferences. In this paper we derive the relationship between the process of investors´ expectations of the terminal stock price and asset prices in a general continous time pricing kernel framework. To...

The optimal control problem is considered for linear stochastic systems with a singular cost. A new uniformly convex structure is formulated, and its consequences on the existence and uniqueness of optimal controls and on the uniform convexity of the value function are proved. In particular, the...