CFA Level 2
Fixed Income

Understanding Mean Reversion in Interest Rate Models

Easy Term Structure Dynamics Interest Rate Models

Consider a simplified one-factor interest rate model, where the short-term interest rate is governed by the stochastic differential equation (SDE):

dr = θ(μ - r)dt + σdW

In this equation, r is the short-term interest rate, θ is the speed of mean reversion, μ is the long-term mean of the interest rate, σ is the volatility, and dW represents a Wiener process. Which of the following statements accurately describes the implications of this model on the behavior of interest rates?

Hint

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