The standard model of inter-temporal optimization is based upon certainty equivalence and ignores risk and uncertainty. We solve a modification of the standard model of inter-temporal optimization in an environment where the return to capital is stochastic, and we impose the constraint that...

Optimal Control of Credit Risk presents an alternative methodology to deal with a financial problem that has not been well analyzed yet: the control of credit risk. Credit risk has become recently the center of interest of the financial community, with new instruments (such as Credit Risk...

We provide benchmarks to evaluate what is an optimal foreign debt and a maximal foreign debt (debt-max), when risk is explicitly considered. When the actual debt exceeds debt-max, then the economy will default when a "bad shock" occurs. This paper is an application of the stochastic optimal...