
Explanation:
In mean-reverting interest rate models (such as the Vasicek model or similar models used as factors in the Gauss+ framework), the expected change in the short-term rate factor is determined by the drift term. The formula for the drift is . Given the parameters , , , and , the expected change is $0.6 \times (0.027 - 0.02) \times 0.01 = 0.6 \times 0.007 \times 0.01 = 0.0042 \times 0.01 = 0.000042$.
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Q.71 An economist is utilizing the Gauss+ model to understand the evolution of interest rate factors over time. The model involves mean-reverting processes, where the expected change in the short-term factor is calculated. Given: the mean reversion speed parameter for the short-term factor , the medium-term rate , the current short-term rate , and the small time increment , what is the expected short-term factor change?
A
0.000034
B
0.000042
C
0.000052
D
0.000038