integration - appliedprobability.files.wordpress.com · 9 stochastic integration recep. to derive...

Post on 23-Jun-2020

4 Views

Category:

Documents

0 Downloads

Preview:

Click to see full reader

TRANSCRIPT

9 STOCHASTICINTEGRATIONRECEP

TO DERIVE THE HTB EQUATION WE NEEDED

TAYLOR EXPANSIONSCHAIN RULE

WE RECAP THE SAME FOR STOCHASTIC INTEGRAL

STOCHASTICINTEGRAL INDEPENDENTGAUSSIANINCREMENTS LINEvariation

FOR BROWNIAN MOTION sewor

SO STOCHASTIC

INTEGRAL

STOCHASTICDIFFERENTIAL EQUATIONS

DEFINE

LET 8 so

THIS GIVES US TAYLOR APPROXIMATIONS FOR 5D Es

ITISFOR MULA For OUR SDE FROM BEFORE

THIS GIVES US A CHAINRULE FOR S D E s

top related