easy · FRM Part 2 Market Risk
A bank uses the Vasicek model dr = k(θ - r)dt + σ dW to model interest rates.
Which property correctly describes the long-term behavior of the interest rate r in this model?
- The rate will grow indefinitely at a rate θ plus a random shock.
- The rate will revert toward the long-run level θ at a speed determined by k.
- The rate volatility will decrease to zero as the rate approaches θ.
- The rate is guaranteed to stay positive because it reverts to a positive θ.
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