In this article, we present a flexible approach to the valuation of Parisian and similar exotic options. The approach is based on the numerical solution of a fundamental partial differential equation and can easily accommodate variations like American early exercise features, different payoff...

In this paper we model the value of a firm based on its current earnings and cash balances. The value is modelled on the assumption that earnings follow a mean-reverting process. The effect of advertising on earnings is modelled, and the condition for optimal advertising derived. The value of...

We derive a nonlinear parabolic partial differential equation for the value of portfolios of options in the presence of proportional transaction costs. This assumes a Leland world of transacting after each time interval, which is of fixed length. The equation reduces to the modified variance...