Abstract
In this study, we investigate the currency option pricing in a Markov-modulated, incomplete-market economy. Specifically, the dynamics of the spot foreign exchange rate and the domestic/foreign instantaneous forward interest rates are, respectively, governed by a two-factor Markov-modulated stochastic volatility model with jumps and a Markov-modulated Heath–Jarrow–Morton model. The analytical expressions are obtainable using the random Esscher transform. Numerical examples are also given.
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