Answer: The model incorporates mean reversion and models the risk premium as a component of the drift.

## Explanation The Vasicek model is a popular one-factor interest rate model that has the following key characteristics: 1. **Mean Reversion**: The Vasicek model explicitly incorporates mean reversion through the parameter θ (theta), which represents the long-term mean level that interest rates tend to revert to. 2. **Risk Premium**: The model includes a risk premium as part of the drift term. The drift in the Vasicek model is given by: \[dr_t = κ(θ - r_t)dt + σdW_t\] where κ is the speed of mean reversion, θ is the long-term mean, and the term κ(θ - r_t) represents the drift that includes both mean reversion and the risk premium component. 3. **Key Features**: - The model assumes that interest rates follow an Ornstein-Uhlenbeck process - It allows for negative interest rates (unlike the Cox-Ingersoll-Ross model) - The risk premium is embedded in the drift term through the parameter θ Option A is incorrect because the Vasicek model does not have a drift of zero - it has a mean-reverting drift. Option C is incorrect because the Vasicek model can incorporate a risk premium through the drift term. Option D is incorrect because the Vasicek model explicitly incorporates mean reversion. Therefore, Option B is the correct statement as it accurately describes that the Vasicek model incorporates mean reversion and models the risk premium as a component of the drift.

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