Geometric Brownian Motion Process Problem

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I would like to ask a question related to Geometric Brownian Motion again. Thanks in advance.

Question:

Suppose that $S(t)$ follows a geometric Brownian Process:

              dS(t) = μS(t)dt + σS(t)dW(t)

What is the process ( that is, $dY(t)$) followed by $$Y(t) = \frac{e^{r(T-t)}}{S(t)}$$

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Hint

You will need Ito's Lemma:

$$dY=\left(Y_{t}+\mu S Y_{S}+\frac{1}{2} \sigma^2 S^2Y_{SS} \right)dt+(\sigma SY_{S})dW$$

You just have to calculate the derivatives: $Y_{t}, Y_{S}, Y_{SS}$.

Can you finish?