
Explanation:
The change in the short-term rate is given by:
Since the short-term rate started at 5.26%, the short-term rate after a month is:
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Q.4013 Under Model 1 of short-term interest rates, the current value of the short-term rate is 5.26%, that volatility equals 115 basis points per year, and that the time interval under consideration is one month or years. Mathematically, ; ; and . A month passes and the random variable , with its zero mean and its standard deviation of or 0.2887, happens to take on a value of 0.25. Determine the short-term rate after one month.
A
0.035
B
0.025
C
0.0534
D
0.002875