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  • 13-03-2024
  • Mathematics
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Suppose that X has the stochastic differential dX(t) =alpha*X(t)*dt + sigma(t)*X(t)*dW(t), where alpha is a real number whereas sigma(t) is any stochastic process. Write the equation for X(t) conditional on X(0), that is the filtration F_0, and use this to determine E[X(t)].

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