3. that the process Let Bt be the standard Brownian motion and Ft. •t Bt + 1 + B S 3Bs - B³ -ds o (1+ B2)3 = σ(Bs, s≤t). Show is a martingale with respect to {Ft,t≥ 0}. (Hint: stochastic integrals with respect to Bt is a martingale.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.

and and Very very grateful!

3.
that the process
Let Bt be the standard Brownian motion and Ft.
•t
Bt
+
1 + B
S
3Bs - B³
-ds
o (1+ B2)3
=
σ(Bs, s≤t). Show
is a martingale with respect to {Ft,t≥ 0}. (Hint: stochastic integrals with respect to Bt
is a martingale.)
Transcribed Image Text:3. that the process Let Bt be the standard Brownian motion and Ft. •t Bt + 1 + B S 3Bs - B³ -ds o (1+ B2)3 = σ(Bs, s≤t). Show is a martingale with respect to {Ft,t≥ 0}. (Hint: stochastic integrals with respect to Bt is a martingale.)
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