Question

a borrower has a $300,000, 30-year fixed-rate mortgage at 7% apr. after making payments for 15 years, the borrower has paid approximately $270,000 total, but still owes about $200,000 on the loan. what does this reveal about how amortization affects the structure of long-term loans?

Explanation:

In amortization for long - term loans like a 30 - year mortgage, the loan is paid off in regular installments that include both principal and interest. In the early years of the loan, a large portion of each payment goes towards paying the interest rather than reducing the principal. Here, the borrower has a $300,000 loan, after 15 years (half the loan term) has paid $270,000 but still owes $200,000. This shows that in the early period of a long - term amortized loan, most of the payment is used to cover interest, and only a small part is applied to the principal balance. So, amortization front - loads the interest payment in long - term loans, meaning that in the initial years, the debt (principal) is reduced very slowly even though a significant amount of money has been paid.

Answer:

Amortization for long - term loans (like this 30 - year mortgage) front - loads interest payments. In the early years, most of the payment goes to interest, so the principal balance (the amount owed) is reduced slowly. Even after 15 years (half the loan term) of paying a total of $270,000 on a $300,000 loan, the borrower still owes ~$200,000 because most payments initially went to interest, not principal reduction.