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We propose a novel Monte Carlo simulation method for two-dimensional stochastic differential equation (SDE) systems … based on approximation through continuous-time Markov chains (CTMCs). Specifically, we propose an efficient simulation … and the stochastic alpha beta rho (SABR) models as special cases. Our simulation algorithm is constructed based on …
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This paper presents a new approach to perform a nearly unbiased simulation using inversion of the characteristic … and of continuously monitored Parisian options in the Black-Scholes framework. This method of simulation can be applied to …
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In recent literature, a new class of unbiased Monte Carlo estimators have been proposed, which is based on truncating a telescopic representation of the expectation of a functional of the stochastic process at an independent random level. The generality of the method lies in that it can...
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