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Problem 1 (related to interest rate calculation) Defne agrees to lend Ozan 800 T

ID: 1150835 • Letter: P

Question

Problem 1 (related to interest rate calculation) Defne agrees to lend Ozan 800 TL. They agree to a nominal interest rate of 9%. Both expect the inflation rate to be 4%. (a) Calculate the expected real interest rate. (b) If inflation turns out to be 5% over the life of the loan, what is the real interest rate? Who gains from unexpectedly high inflation, Defne or Ozan? Why? (c) If inflation turns out to be 2% over the life of the loan, what is the real interest rate? Who gains from unexpectedly high inflation, Defne or Ozan? Why?

Explanation / Answer

a) Expected real interest rate = Nominal interest rate - expected inflation = 9% - 4% = 5%

b) Real interest rate is 4% because it is the difference between nominal interest rate and inflation rate. Since real interest rate is reduced the lender receives a lower amount in return so Define is hurt when inflation is higher than expected

c)  Real interest rate is 7% because it is the difference between nominal interest rate and inflation rate. Since real interest rate is increased the lender receives a higher amount in return so Define is a winner and Ozan hurts when inflation is lower than expected

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