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...

In trading stocks investors naturally aspire to "buy low and sell high (BLSH)". This paper formalizes the notion of BLSH by formulating stock buying/selling in terms of four optimal stopping problems involving the global maximum and minimum of the stock prices over a given investment horizon....

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.