If you expect annual inflation rate to be 12 percent next year and a one-year T-Notehas an expected annual yield of 7 percent, then real annual rate of interest on the T-Noteis: A) -0.045%B) 5.00% C) 0.955%D) 4.67%E) -4.46%
Answer is supposed to be E. I want to know the steps on how to solve the problem.
| 1 + nominal interest rate = (1+ real interest rate)*(1+ inflation) | ||||
| nominal interest rate | 0.07 | |||
| Inflation | 0.12 | |||
| (1 + .07) = (1+ real interest rate)*(1+.12) | ||||
| 1 + real interest rate = (1.07)/(1.12) | ||||
| 1 + real interest rate = .955357 | ||||
| real interest rate = .955357 - 1 | ||||
| real interest rate = -.04464 | ||||
| The real annual rate of interest on the T-Note is -4.46%. | ||||
| E) -4.46%. | ||||
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