How to evaluate the expectation of the exponential of reflected brownian motion

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How do you compute this expectation

$\mathbb{E} \left [ e^{\varepsilon|W_t|} \right] $ where $W_t$ is a Brownian Motion

Do I need to expand the absolute value? Can I use the standard Taylor series approach here? I don't know how to expand $e^{\varepsilon|W_t|}$

Any help will be appreciated.