
Explanation:
In the Gauss+ model (or similar mean-reverting interest rate models), the expected change in the short-term factor is calculated using the drift term of the stochastic differential equation:
Plugging in the given values:
Therefore, the expected short-term factor change is 0.000042, which corresponds to Option B.
Ultimate access to all questions.
No comments yet.
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