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Edits have been made, but the original question asked about $\frac{\mathrm{d}t}{W_t}$. The random variable does exist In your [original] question you ask about $\frac{\mathrm{d}t}{W_t}$, although I think you really meant $\frac{\mathrm{d}t}{\mathrm{d}W_t}$. The quantity $\frac{\mathrm{d}t}{W_t}$ does exist and is just a random variable. Be careful though, ...


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