We use stochastic optimal control-dynamic programming (DP) to derive the optimal foreign debt/net worth, consumption/net worth, current account/net worth, and endogenous growth rate in an open economy. Unlike the literature that uses an Intertemporal Budget Constraint (IBC) or the Maximum...

The recent financial crises, especially the debt crisis in Asia, have led to questions su ch as: what are their causes, what is an excessive debt and how vulnerable is an economy to external shocks? We develop an economic model of international finance and debt based upon two sources of...

We consider an optimal investment model in which the goal is to maximize the long-term growth rate of expected utility of wealth. In the model, the mean returns of the securities are explicitly affected by the underlying economic factors. The utility function is HARA. The problem is reformulated...

The standard literature concerning intertemporal optimization in international finance is based upon certainty equivalence, and ignores risk and uncertainty. It therefore is not helpful concerning risk management and evaluation of the risk involved in the holding of international short-term...

We consider an optimal consumption and investment model in continuous time, which is an extension of the original Merton's problem. In the proposed model, the asset prices are affected by correlated economic factors, modelled as diffusion processes. Writing the value function in a special form,...

This paper considers a max-min formulation of multistage optimal investment and consumption problems, with uncertainties in the form of variable productivities of capital and interest rates. The criterion of control performance is minimum consumption over time, weighted by a coefficient which...