Pricing FX Options in the Heston/CIR Jump-Diffusion Model with Log-Normal and Log-Uniform Jump Amplitudes. (26th July 2015)

• Record Type: Journal Article
• Authors: Ahlip, Rehez; Prodan, Ante
• Other Names: Orsingher Enzo Academic Editor.
• Is Part Of: International journal of stochastic analysis. Volume 2015(2015)
• Publication Date: 2015-07-26
• Subjects: Stochastic analysis -- Periodicals; Stochastic analysis; Periodicals; 519.22
• DOI: 10.1155/2015/258217
• Languages: English
• ISSNs: 2090-3332

Abstract

Abstract : We examine foreign exchange options in the jump-diffusion version of the Heston stochastic volatility model for the exchange rate with log-normal jump amplitudes and the volatility model with log-uniformly distributed jump amplitudes. We assume that the domestic and foreign stochastic interest rates are governed by the CIR dynamics. The instantaneous volatility is correlated with the dynamics of the exchange rate return, whereas the domestic and foreign short-term rates are assumed to be independent of the dynamics of the exchange rate and its volatility. The main result furnishes a semianalytical formula for the price of the foreign exchange European call option.