Assume X1 and X2 are strictly positive It processes. Use Its formula to derive the following: (a)

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Assume X1 and X2 are strictly positive Itô processes. Use Itô’s formula to derive the following:

(a) Define Yt = X1tX2t. Show that dY Y = dX1 X1

+

dX2 X2

+

dX1 X1

dX2 X2



.

(b) Define Yt = X1t/X2t. Show that dY Y = dX1 X1

− dX2 X2

dX1 X1

dX2 X2



+

dX2 X2

2

.

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