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Classical and Impulse Stochastic Control of the Exchange Rate Using Interest Rates and Reserves

Abel Cadenillas and Fernando Zapatero

Mathematical Finance, 2000, vol. 10, issue 2, 141-156

Abstract: We consider the problem of a Central Bank that wants the exchange rate to be as close as possible to a given target, and in order to do that uses both the interest rate level and interventions in the foreign exchange market. We model this as a mixed classical‐impulse stochastic control problem, and provide for the first time a solution to that kind of problem. We give examples of solutions that allow us to perform an interesting economic analysis of the optimal strategy of the Central Bank.

Date: 2000
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