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Quant版 - A Brownian Motion question
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1 (共1页)
w**********5
发帖数: 1741
1
P{W2>0|W1>0}=?
Thanks!
c********u
发帖数: 34
2
3/4
w*********t
发帖数: 17
3
let X=w1, and Y=w2-w1
P(w2>0|w1>0)=P(Y>-X|X>0)
X and Y are bivariate normal with 0 correlation.
P(Y>-X|X>0)=P(Y>-X,X>0)/P(X>0)
P(X>0)=1/2
P(Y>-X|X>0)=3/8
P(w2>0|w1>0)=3/8/(1/2)=3/4
w**********5
发帖数: 1741
4
thanks!
1 (共1页)
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