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categoryرياضيات schoolبكالوريوس event_available2026-07-14

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3. SOLVING STOCHASTIC DIFFERENTIAL EQUATIONS (20 POINTS) In this exercise you will solve a stochastic differential equation. Assume you model interest rates with the following mean-reverting stochastic differential equation drt (a Brt)dt + σdWt. = (1) Use the Ito formula to derive d(ert). Simplify your formula so that it does not involve rt. (2) Integrate the equation you obtain in (1) and solve for rt.

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