82.9k views
4 votes
You have borrowed $5,000 and must pay it off in five equal payments. Your annual interest rate is 10%. How much interest will you pay in the first two years?

1 Answer

2 votes

Final answer:

To calculate the interest paid on a $5,000 loan at 10% annually over the first two years, simple interest can be used for an estimate, but the actual amount would depend on the loan's payment structure and whether the interest is simple or compounded.

Step-by-step explanation:

To calculate the interest paid in the first two years on a $5,000 loan with a 10% annual interest rate, we would typically use the formula for simple interest, which is I = P * r * t, where 'I' is the interest, 'P' is the principal amount, 'r' is the annual interest rate, and 't' is the time in years. However, since the loan is being repaid in equal payments across the five years, we need to remember that the principal balance on which interest is computed would decrease with each payment made. Assuming simple interest for the sake of this calculation, the interest in the first year would be $5,000 * 0.10 = $500. For the second year, since one payment has already been made, the principal for the second year is reduced. If equal payments are made, we would have to calculate the new principal after the first payment to find the exact interest for the second year. Without knowing the exact payment amount, we cannot compute the precise interest for the second year. In reality, the loan may use compound interest or an amortized payment schedule, which would require different calculations.

User Mefi
by
7.9k points