Pricing FX Options in the Heston/CIR Jump-Diffusion Model with Log-Normal and Log-Uniform Jump Amplitudes

Rehez Ahlip & Ante Prodan

International Journal of Stochastic Analysis2015https://doi.org/10.1155/2015/258217article
ABDC B
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0.26

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.

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@article{rehez2015,
  title        = {{Pricing FX Options in the Heston/CIR Jump-Diffusion Model with Log-Normal and Log-Uniform Jump Amplitudes}},
  author       = {Rehez Ahlip & Ante Prodan},
  journal      = {International Journal of Stochastic Analysis},
  year         = {2015},
  doi          = {https://doi.org/https://doi.org/10.1155/2015/258217},
}

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Pricing FX Options in the Heston/CIR Jump-Diffusion Model with Log-Normal and Log-Uniform Jump Amplitudes

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