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B. In the year 2007, the Zimbabwe economy was estimated to have an inflation rat

ID: 2383805 • Letter: B

Question

B. In the year 2007, the Zimbabwe economy was estimated to have an inflation rate of 66,000 percent (i.e., =660). (That is, prices were 660 times higher by the end of the year!) What nominal annual interest rate would a Zimbabwe lender making a loan and expecting repayment in Zimbabwe dollars at the end of the year need to charge in order to get a real interest rate of 5 percent? Use the exact formula for the real interestrate. If instead the lender used the approximation formula, what nominal interest rate would have been charged?

Explanation / Answer

Annual Inflation rate = (1+Monthly inflation rate)^12 -1

=(1+660)^12-1

=1.764

Real rate of return = [(1 + Nominal rate of return) / (1 + Rate of Inflation)^1

   =[1+0.05)/(1+1.764)^1

   =0.3799 or 37.99%