کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5776291 1631971 2017 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Pricing of options in the singular perturbed stochastic volatility model
ترجمه فارسی عنوان
قیمت گذاری گزینه ها در مدل نوسان پذیری تصادفی منفی مغرضانه
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

The pricing of options in the fast mean-reverting stochastic volatility model using the singular perturbation method has received a considerable amount of attention in the last two decades. However, it is not to easy to estimate the accuracy of the approximation if the payoff function is not smooth or bounded, as is the case for European call options. In this article, we introduce a new novel approach for pricing options in the fast mean-reverting stochastic volatility model. Combinations of Fourier analysis and singular perturbation methods enable us to estimate the accuracy easily. We also show that this method allows us to derive the price of European and Bermudan options in the fast mean-reverting stochastic volatility environment with jumps.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 320, 15 August 2017, Pages 138-144
نویسندگان
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