Question

Tony borrrows $20 000. He aggrees to repay this loan with 15 equal annual payments with the first payment to commence at the end of 5 years. The annual effective rate of interest on the loan is 4%. calculate the amount of annual payments

Answer 1

The amount of annual payments is $2,400.

Step-by-step explanation:

Given that Tony has obtained a loan for $ 20,000 at an interest rate of 4% per year, and that he has agreed to pay said loan from 15 annual payments beginning after the end of 5 years, we can say that said interest rate will apply to 20 years (the initial 5 without payment, plus the 15 in which Tony will make annual payments). Thus, a final interest of 80% should be applied to the initial sum, which arises from the multiplication of the years by the annual interest rate (20 x 4).

Thus, to the initial amount of $ 20,000 will be added an interest of $ 16,000 (20,000 x 0.8), totaling an amount to be paid of $ 36,000. Then, since that amount will be paid in 15 annual payments, each of those payments will be made for a value of $ 2,400 (36,000 / 15).