Quantitative Finance Asked by Bogaso on November 28, 2021
Assuming a variable $v$ follows some Stochastic Process
as below –
$dv=mu v dt + sigma v dW_t, v in left( -infty, infty right) $
I want to get the process of $|v|$
How can I use the ito's lemma
in this context given that the function $|v|$ is not smooth?
I think you are looking for extended Ito formula (based on Tanaka's formula).
Bjork's The Pedestrian’s Guide to Local Time should be useful.
Answered by ir7 on November 28, 2021
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