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Nov 3, 2021 at 18:02 comment added Mr.Price Can we apply Ito's formula for $XB$ if $X$ and $B$ are written under different measures? Because $X$ is under measure $Q^1$ and foreign bank account $B$ is under measure $Q^2$.
Nov 3, 2021 at 10:54 comment added user34971 Hint: Always try to identify your tradable assets. If $B$ is the money market account in EUR and $X$ is the exchange rate to USD, and you want to express everything in the USD risk neutral measure, then notice that $XB$ is a tradable asset in USD. Use Ito's formula on $XB$ given the dynamics of $X$ and $B$ and then see what transform you need to do to make the USD asset $XB$ drift less.
Nov 2, 2021 at 21:33 history asked Mr.Price CC BY-SA 4.0