楼主: dingleshao
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Optimal Stopping For Stochastic Functional [推广有奖]

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dingleshao 发表于 2009-12-17 20:52:22 |AI写论文

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Mou-Hsiung Chang  Tao Pang   Moustapha  Pemy
Abstract:
We consider a finite time horizon optimal stopping problem for a
system of stochastic functional differential equations with a bounded
memory. Under some sufficiently smooth conditions, a Hamilton-Jacobi-
Bellman (HJB) variational inequality for the value function is derived
via dynamical programming principle. It is shown that the value function
is the unique viscosity solution of the HJB variational inequality.
As an application of the results obtained, a pricing problem is considered
for American options in a financial market with one riskless
bank account that grows according to a deterministic linear functional
differential equation and one stock whose price dynamics follows a nonlinear
stochastic functional differential equation. It is shown that the
option pricing can be formulated into an optimal stopping problem
considered in this paper and therefore all results obtained are applicable
under very realistic assumptions.
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关键词:Stochastic Functional Stochast function Stopping For Stochastic Functional optimal Stopping

沙发
fbfidwsa 发表于 2009-12-18 08:04:38
下载瞧瞧
谢谢楼主的分享

藤椅
moonsphere 发表于 2009-12-18 09:00:02
谢谢!!!

板凳
Gloria_p 发表于 2010-1-12 22:33:47
1# dingleshao


Thanks!

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