Answer to Question #205125 in Macroeconomics for Nabeeha Khalid

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 \\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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