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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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathfi:v:10:y:2000:i:2:p:141-156
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