A finite-difference method for integro-differential equations arising from Lévy driven asset processes in finance is discussed. The equations are discretized in space by the collocation method and in time by an explicit backward differentiation formula. The discretization is shown to be second-order accurate independently of the degree of the singularity in the Lévy measure. The singularity is ...

The short-time asymptotic behavior of option prices for a variety of models with jumps has received much attention in recent years. In the present work, novel third-order approximations for close-to-the-money European option prices under an infinite-variation CGMY Lévy model are derived, and are then extended to a model with an additional independent Brownian component. The asymptotic regime co...

In this article we consider the problem of pricing lookback options in certain exponential Lévy market models. While in the classic Black-Scholes models the price of such options can be calculated in closed form, for more general asset price model one typically has to rely on (rather time-intense) MonteCarlo or P(I)DE methods. However, for Lévy processes with double exponentially distributed ju...

The traditional multivariate Lévy process constructed by subordinating a Brownian motion through a univariate subordinator presents a number of drawbacks, including the lack of independence and a limited range of dependence. In order to face these, we investigate multivariate subordination, with a common and an idiosyncratic component. We introduce generalizations of some well known univariate ...

سابقه و هدف: ورود گونه­­ های ماهی مهاجم دراکوسیستم ­های آبی، سبب بروز انواع اثرات منفی اکولوژیکی اقتصادی-اجتماعی می ­­شود. اولین گام در تجزیه تحلیل مخاطرات ناشی از گونه­ غیر­بومی، شناسایی خطر است بر این اساس ابزارهای متعددی برای ارزیابی خطرات تهاجمی غیربومی به منظور پشتیبانی تصمیم گیرندگان گونه ­­ها ایجاد شده است. هدف پژوهش قدرت تیلاپیای شکم قرمز (Coptodon zillii) حوضه آبریز تالاب شادگان (حوضه‌...

در آشکار‌ساز CMS نسبت‌های انشعاب بوزون هیگز مدل استاندارد به جفت‌‌های J/ψ(1S) و cc ترتیب برابر 2-10×1/8 2-10×2/89 اندازه‌گیری شده است. لحاظ نظری یکی از سناریوهای ممکن برای تولید مستقیم این است که آغاز جفت واپاشی نماید سپس مرحله‌ی بعد هر یک کوارک‌های c طور مزون ترکش کنند. بر اساس سناریو مقاله بطریق کوارک‎های با استفاده نظریه اختلال مکانیک کوانتومی رنگ (pQCD) نظر گرفتن حالت‌های قطبش طولی عرضی محا...

The short-time asymptotic behavior of option prices for a variety of models with jumps has received much attention in recent years. In the present work, a novel third-order approximation for close-to-the-money European option prices under the CGMY Lévy model is derived, and extended to a model with an additional independent Brownian component. The asymptotic regime considered, in which the stri...

We develop an implicit discretization method for pricing European and American options when the underlying asset is driven by an infinite activity Lévy process. For processes of finite variation, quadratic convergence is obtained as the mesh and time step are refined. For infinite variation processes, better than first order accuracy is achieved. The jump component in the neighborhood of log ju...