5. Apply Itô's formula to do the following: (a) Find B dB,, n e {0,1, 2, ...}. (b) Solve the stochastic differential equation (SDE) dS, = rS,dt + o S;dB.

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5. Apply Itô's formula to do the following:
(a) Find fo BdB,, n E {0, 1, 2, ...}.
(b) Solve the stochastic differential equation (SDE) dS, = rS,dt + o S,dB.
Transcribed Image Text:5. Apply Itô's formula to do the following: (a) Find fo BdB,, n E {0, 1, 2, ...}. (b) Solve the stochastic differential equation (SDE) dS, = rS,dt + o S,dB.
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