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%
According to the Fisher's equation, the nominal interest rate is the sum of real interest rate and inflation.
"Nominal \\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 \\space interest\\space rate=expected \\space real\\space interest\\space rate+expected \\space inflation"
"9\\%=real\\space interest\\space rate+3\\%"
"expected \\space real\\space interest\\space rate=9\\%-3%"
"expected \\space real\\space interest\\space rate=6\\%"
"Nominal \\space interest\\space rate=actual\\space real\\space interest\\space rate+actual \\space inflation"
"9\\%=actual\\space real\\space interest\\space rate+4\\%"
"actual\\space real\\space interest\\space rate=9\\%-4\\%"
"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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