Let Xϕ denote the trading wealth generated using a strategy ϕ, and let CT be a contingent claim which is not spanned by the traded assets. Consider the problem of finding the strategy which maximizes the probability of terminal wealth meeting or exceeding the claim value at some fixed time...

Consider a firm with an arbitrary profit function whose relative price follows a Brownian motion with negative drift. When the firm faces a fixed cost of price adjustment, we prove the optimal pricing policy is a control band if the following sufficient conditions are met: the profit function is...

The development and use of dynamic optimization model is extremely important in financial markets. The classical mean-variance portfolio model assumes the expected returns are known with perfect precision. In practice, however, it is extremely difficult to estimate precisely. While portfolios...

In this essay, it is shown that in the Hoel and Karp (2001) model of global warming, the optimal response of taxes for a stock pollutant with mutiplicative uncertainty is opposite when the control variable is pollution taxes instead of emissions. In this case, the election of control variable...

This paper revisits an area of economic research that was very active some years ago and, after a quiet period, is once again becoming active. Adaptive control models consider not only additive uncertainty but also mulitplicative uncertainty in the model parameters as well as measurement error....