The Smiths took out a 30-year mortgage. How many monthly payments will they have to make on this mortgage?
The Correct Answer and Explanation is
Correct Answer: 360 monthly payments
Explanation:
A mortgage is a long-term loan used to purchase a home, and it’s typically paid back in regular monthly installments over a fixed period of time. In this case, the Smiths have taken out a 30-year mortgage. To determine the number of monthly payments, we need to understand the relationship between the loan term and the payment frequency.
- Years of mortgage: 30 years
- Payments per year: 12 months/year (since mortgage payments are made monthly)
To find the total number of payments, multiply the number of years by the number of months in a year: 30 years×12 months/year=360 monthly payments30 \text{ years} \times 12 \text{ months/year} = 360 \text{ monthly payments}
This means that over the life of the loan, the Smiths will make 360 individual payments, usually consisting of both principal (the actual amount borrowed) and interest (the cost of borrowing the money).
Why it matters:
Understanding the total number of monthly payments helps borrowers know the length of their financial commitment. For example, if the interest rate is fixed, their monthly payment will stay the same over the 30 years. However, if it’s an adjustable-rate mortgage, payments may fluctuate after a certain period.
Each monthly payment contributes to reducing the loan balance and covering interest. In the early years of a mortgage, a larger portion of the monthly payment goes toward interest. Over time, more of the payment goes toward reducing the principal. This process is known as amortization.
Being aware of the total number of payments also helps in comparing loan options. For example, a 15-year mortgage would only require 180 monthly payments but typically comes with higher monthly amounts and lower overall interest costs.
In conclusion, the Smiths will make 360 monthly payments over the life of their 30-year mortgage.