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 design of monetary policy depends upon the targeting strategy adopted by the central bank. This strategy describes a set of policy preferences, which are actually the structural parameters to analyse monetary policy making. Accordingly, we develop a novel calibration method to identify...

This paper is concerned with international reserves where the accumulation of reserves is financed by public debt. Optimally controlled paths are used to illustrate the possibility of long term instability in a small macroeconomic system. The results indicate that reserve accumulation financed...

We formulate a mathematical model for the optimal control of the exchange rate. The control consists of a stochastic control, and an impulse control. We give general sufficient conditions for its solution. We consider a government that has two means of avoiding the foreign exchange rate...