Answer:
5.25%
Explanation:
To calculate the inflation for the year 3, we will have to calculate the yield on 1 Year treasury bond.
The yield is calculated using the following formula:
Nominal Yield on Bond = Real risk free rate + Inflation for the year
Here
Inflation for Year One is 3.75%
Real Risk-Free Rate is 3.5%
Nominal yield on bond is Y for year 1
By putting values, we have:
Y = 3.5% + 3.75% = 7.25%
For 3 years treasury bond,
Nominal Yield on Treasury Bond for 3 years = Yield on year 1 + Inflation
Y3 = 7.25% + 1.5% = 8.75 %
Now if we deduct the real risk free rate from the 3 year yield on the treasury bond, then the resultant rate would be the inflation rate for the year 3.
Inflation Rate for Year 3 = Y3 - Real Risk-Free Rate
Inflation Rate for Year 3 = 8.75% - 3.5%
Inflation Rate for Year 3 = 5.25%