You take out a loan for $4000 at an annual interest rate of 5% (compounded annually). You must pay back the loan in 3 annual ins
tallments. How much of the principal is still outstanding after you make the first payment? g
1 answer:
Answer: = $2,731.14
Explanation:
First find the annual payment.
The payment will be constant so is an annuity.
Present Value of an Annuity = Payment * Present Value Interest Factor of an annuity
4,000 = Payment * PVIFA( 3 periods, 5%)
4,000 = Payment * 2.7232
Payment = 4,000 / 2.7232
Payment = $1,468.86
This annual Payment is divided into an interest component and a component going towards principal repayment.
Interest component = 5% * 4,000
= $200
Amount going to principal = 1,468.86 - 200
= $1,268.86
Amount of Principal Outstanding = 4,000 - 1,268.86
= $2,731.14
You might be interested in