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Title: | NUMERICAL METHODS FOR HIGH DIMENSIONALBACKWARD STOCHASTICDIFFERENTIAL EQUATIONS | Authors: | MAJDI RABIA | Keywords: | bsde, high dimension, random forest, pricing, finance, 2-BSDE | Issue Date: | 28-Apr-2017 | Citation: | MAJDI RABIA (2017-04-28). NUMERICAL METHODS FOR HIGH DIMENSIONALBACKWARD STOCHASTICDIFFERENTIAL EQUATIONS. ScholarBank@NUS Repository. | Abstract: | Option Pricing is a well-known subject in the literature since Black and Scholes model first appeared in 1973. However, with the emergence of robust processors, pricing basket options (options on multiple assets) in finance or solving optimisation problems of diversified portfolios became less time-consuming. This is what we aim for in this MSc thesis: explore the currently used computational methods and try new ones for an already settled theory, the High Dimensional Backward Stochastic Differential Equation (HD BSDEs). This special kind of Stochastic Differential Equation, is useful for problems involving final condition hypotheses. Hence, from an ending point, we work backward to an optimal initial solution. | URI: | http://scholarbank.nus.edu.sg/handle/10635/136056 |
Appears in Collections: | Master's Theses (Open) |
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