Question

If you expect annual inflation rate to be 12 percent next year and a one-year T-Notehas...

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.

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Answer #1
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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