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An inverse finance problem for estimating volatility in American option pricing under jump-diffusion dynamics | ||
| Journal of Mathematical Modeling | ||
| مقاله 3، دوره 7، شماره 3، آذر 2019، صفحه 287-304 اصل مقاله (400.14 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2019.13082.1258 | ||
| نویسندگان | ||
| Abdolsadeh Neisy* ؛ Mandana Bidarvand | ||
| Faculty of Mathematics Sciences, Allameh Tabataba'i University, Tehran, Iran | ||
| چکیده | ||
| This study attempts to estimate the volatility of the American options pricing model under jump-diffusion underlying asset model. Therefore, the problem is formulated then inverted, and afterward, direct finance problems are defined. It is demonstrated, then, that the price of this type of options satisfies a free boundary Partial Integral Differential Equation (PIDE). The inverse method for estimating the volatility and the American options price is also described in three phases: first, transformation of the direct problem to a non-linear initial and boundary value problem. Second, finding the solution by using the method of lines and the fourth-order Runge-Kutta method.Third, presenting a minimization function with Tikhonov regularization. | ||
| کلیدواژه‌ها | ||
| Emden-Fowler equations؛ integral equation؛ Volterra؛ moving least squares method | ||
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آمار تعداد مشاهده مقاله: 702 تعداد دریافت فایل اصل مقاله: 755 |
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