کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4638458 1632011 2015 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Equilibrium valuation of currency options under a jump-diffusion model with stochastic volatility
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Equilibrium valuation of currency options under a jump-diffusion model with stochastic volatility
چکیده انگلیسی

In this paper, we continue to investigate the model related to Bakshi and Chen (1997). In our model, both of the money supplies in the two countries are assumed to follow jump-diffusion processes with stochastic volatility. In the set of the two-country economy, we obtain the equilibrium price of the nominal exchange rate. With the help of Fourier transform to solve a partial integro-differential equation (PIDE), we get a closed-form solution to the PIDE for a European call currency option. We also do Monte Carlo simulations to verify the correctness of the derived formula. Our model contains some existing currency option models as special cases, for example the stochastic-volatility jump-diffusion (SVJD) model in Bates (1996), in which the jump of the exchange rate is driven by one Poisson process. We also provide some numerical analysis to show that our model is effective to the foreign currency option market.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 280, 15 May 2015, Pages 231–247
نویسندگان
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