Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第43回ISCIE「確率システム理論と応用」国際シンポジウム(2011年10月, 滋賀)
Some Numerical Results of Sensitivity Analysis for Expected Values w.r.t. Linear SDE with Long Memory
Kazuhiro Yasuda
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ジャーナル フリー

2012 年 2012 巻 p. 169-177

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Some numerical results with respect to sensitivity analysis are given under a linear stochastic differential equation with long memory by using fractional Brownian motion. They are related to Greeks calculations in mathematical finance. In order to simulate them, formulas driven by the Malliavin calculus are used. Those results are the same as in the case of standard Brownian motion. That is, in the case of discontinuous payoff functions, results of the Malliavin method are stabler than ones of the finite difference method. Also they are true even in 2-dimensional situations for discontinuous payoff functions.
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© 2012 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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