In this note we formulate an optimality problem for Stochastic process with a regime absorbing state. We present a solution for this problem as a pair of differential equations that are recusrsively linked. As an application I obtain an analytical for the Merton portfolio problem in a case for a...

We develop a numerical method based on the Cox et al. (1979) binomial tree option valuation approach that can accommodate arbitrarily complex capital structures with varying debt maturities and seniorities, as well as preferred stock and warrants. The method provides straightforward valuation...