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Advanced Proof

The Ornstein-Uhlenbeck Process: Deriving Solution and Mean-Reverting Dynamics

Students frequently conflate the OU process with the Vasicek model. While mathematically identical in form, the Vasicek model is an application in finance with specific economic interpretations of parameters. Furthermore, the confusion often arises in the integration of the stochastic term, forgetting that eθt e^{-\theta t} must be treated as a deterministic integrand.
Institutional Reference: Advanced Stochastic Processes
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