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Advanced Proof

The Feller Condition and Positivity in the CIR Model

Students often mistake the Feller condition for a requirement for stationarity. While it dictates boundary behavior at zero, the process remains mean-reverting regardless of whether 2κθσ2 2\kappa\theta \geq \sigma^2 . The condition specifically guarantees the avoidance of the zero-state, preventing the square root term from collapsing the model's dynamics.
Institutional Reference: Advanced Stochastic Processes
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