عنوان
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On the multilevel Monte-Carlo simulation: jump-diffusion assets with superlinear drifts
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نوع پژوهش
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مقاله ارائه شده
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کلیدواژهها
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multilevel Monte-Carlo, one-sided Lipschitz, split-step scheme, strong approximation.
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چکیده
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This article is about the strong convergence of the Multilevel Monte-Carlo (MLMC) algorithm when applying with split-step backward Euler (SSBE) scheme to nonlinear jump-diffusion stochastic differential equations (SDEs). The importance of this research is that the underlying process does not enjoy from globally Lipschitz condition and we consider the drift term as one-sided Lipschitz and the payoff function as only locally Lipschitz. We also confirm these theoretical results by numerical experiment for the jump-diffusion process.
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پژوهشگران
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آزاده قاسمی فرد (نفر اول)، مهدیه طهماسبی (نفر دوم)
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