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If the inflation premium is 2 percent and the nominal interest rate is 1 percent, what is the real interest rate? What is the real interest rate if the inflation premium is 3 percent while the nominal interest rate is 0.5 percent?

Short Answer

Expert verified

The real interest rate is -1%.

The real interest rate is -2.5%.

Step by step solution

01

Explanation for part (a)

The real interest rate is the rate that decides the real value of the interest payment that the borrowers have to pay to the lenders for the loan amount. The relationship between real and nominal interest rates is given below:

Nominal Interest Rate = Real Interest Rate + Inflation Premium

Thus, If the inflation premium is 2%, and the nominal interest rate is 1%, the real interest rate will be -1%, as shown below:

1=RealInterestRate+2RealInterestRate=1-2=-1%

02

Explanation for part (b)

Nominal Interest Rate = Real Interest Rate + Inflation Premium

Thus, if the inflation premium is 3%, and the nominal interest rate is 0.5%, the real interest rate will be -2.5%, as shown below:

0.5=RealInterestRate+3RealInterestRate=0.5-3=-2.5%

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