Wednesday, September 5, 2018

stochastic calculus - FX Rate dynamics


Let's suppose USD/EUR price in USD follows a GBM with dSt=rStdt+σStdWt

What process does EUR/USD follow in EUR?




Answer



This will be the inverse process


1St


Applying Itô's formula the dynamics are then given by


d1St=1S2tdSt+1S3tdStdSt

some simple algebra then leads to d1St=1St(σ2r)dt+1StσdWt


No comments:

Post a Comment

technique - How credible is wikipedia?

I understand that this question relates more to wikipedia than it does writing but... If I was going to use wikipedia for a source for a res...