Question #205125

how are borrowers and lenders affected when the nominal rate is 9%, the inflation premiums on loans is 3% and the actual rate of inflation is 4%


1
Expert's answer
2021-06-10T10:59:53-0400

According to the Fisher's equation, the nominal interest rate is the sum of real interest rate and inflation.

Nominal interest rate=real interest rate+inflationNominal \space interest\space rate=real\space interest\space rate+inflation

The nominal interest rate was 9%, the expected inflation was 3% and the actual inflation was 4%.

Nominal interest rate=expected real interest rate+expected inflationNominal \space interest\space rate=expected \space real\space interest\space rate+expected \space inflation

9%=real interest rate+3%9\%=real\space interest\space rate+3\%

expected real interest rate=9%3expected \space real\space interest\space rate=9\%-3%

expected real interest rate=6%expected \space real\space interest\space rate=6\%


Nominal interest rate=actual real interest rate+actual inflationNominal \space interest\space rate=actual\space real\space interest\space rate+actual \space inflation

9%=actual real interest rate+4%9\%=actual\space real\space interest\space rate+4\%

actual real interest rate=9%4%actual\space real\space interest\space rate=9\%-4\%

actual real interest rate=5%actual\space real\space interest\space rate=5\%


The lenders expected a real return of 6% but only got an actual return of only 5%. Thus, they would be at a loss as the actual return would be low. The lenders will be at a loss. 

However, this would benefit borrowers as they would have to pay less real interest rate than expected. This would reduce the actual cost of their borrowing. The borrowers would be at a profit.


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