Currency Option Pricing with Stochastic Domestic and Foreign Interest Rates

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Abstract
This study develops a currency option pricing model under stochastic interest rates when interest rate parity holds, and it is assumed that domestic and foreign bond prices have local variances that depend only on time. We demonstrate how existing currency option models are simply derived from one framework. Empirical tests employing transactions option data reveal that a particularly simple form of the stochastic rate model is uniformly more accurate than a constant rate model for all boundaries and maturities tested.

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