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Quant版 - drift BM & stop martingale
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S*******s
发帖数: 13043
1
what is the probabilty for a Brownian motion with drift
dB(t)=udt+dW(t), B(0)=0,
hitting A before it reaching B, where A>0>B?
p*****k
发帖数: 318
2
for martingale approach, consider:
e^(-2*u*A)-e^(-2*u*Xt)
and e^(-2*u*B)-e^(-2*u*Xt)
d*j
发帖数: 13780
3
弄个 exponential martingale

【在 S*******s 的大作中提到】
: what is the probabilty for a Brownian motion with drift
: dB(t)=udt+dW(t), B(0)=0,
: hitting A before it reaching B, where A>0>B?

t*******e
发帖数: 172
4
There is an easy notes for SDE, and in P99, it solves all the questions in
this kind,enjoy it.
http://math.berkeley.edu/~evans/SDE.course.pdf

【在 S*******s 的大作中提到】
: what is the probabilty for a Brownian motion with drift
: dB(t)=udt+dW(t), B(0)=0,
: hitting A before it reaching B, where A>0>B?

S*******s
发帖数: 13043
5
what is your answer then?
1 (共1页)
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