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A fixed-income desk quantitative analyst at an investment bank aims to predict future short-term interest rates using the Vasicek model. This model is defined by the following equation: [dr = k * (e - r) * dt + g* dw]
In this context:
The following data has been gathered for the analysis:
Using these inputs, the analyst constructs an interest rate tree and projects the anticipated short-term interest rate for the 8th year. Additionally, the analyst calculates the time required for the short-term interest rate to revert halfway to its long-term average. Based on this analysis, what would be an accurate statement for the analyst to make?*
A
The expected short-term interest rate is 3.81% and the half-life is 11.6 years.
B
The expected short-term interest rate is 3.81% and the half-life is 16.7 years
C
The expected short-term interest rate is 4.09% and the half-life is 11.6 years.
D
The expected short-term interest rate is 4.09% and the half-life is 16.7 years.