find a probability measure such that $(W_t + \sqrt{3t+2})_t$ is a Wiener process wrt to $P$

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Like the title says: suppose $W_t$ is a Wiener process on the space $(\Omega, F, Q)$. We want to find a different probability measure $P$ on $\Omega$ such that $$ (W_t + \sqrt{3t + 2})_{0 \leq t \leq 1}$$ is a Wiener process with respect to $P$. I wanted to use Girsanow's theorem to do that. It tells us how to pick $P$ if we want something of the form $$W_t - \int_0^t Y(s) ds$$ to be a Wiener process. However in our case $\sqrt{3\cdot 0 + 2} = \sqrt{2} \not=0$ so I'm a bit puzzled, cause I can't use this thm directly. I'm pretty sure this should have a quick solution since it came up as a test question on an exam in introductory stochastic analysis, but I can't seem to figure it out - any insight will be appreciated!