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The current 6-month short rate sits at 3% per year. The mean growth rate of the short rate is 3%; the volatility of short rate

The current 6-month short rate sits at 3% per year. The mean growth rate of the short rate is 3%; the volatility of short rate growth is 25%.

a) What would be the 6-month short rate in the up state at time t=0.5 (units: % per year)?

b) What would be the 6-month short rate in the down state at time t=0.5 (units: % per year)?

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