In: Finance
If you buy a computer directly from the manufacturer for $ 3,310 and agree to repay it in 60 equal installments at 1.79%interest per month on the unpaid balance, how much are your monthly payments? How much total interest will be paid?
a) | Monthly payment | = | Loan amount | / | Present value of annuity of 1 | |||||
= | $ 3,310 | / | 36.59777 | |||||||
= | $ 90.44 | |||||||||
Working; | ||||||||||
Present value of annuity of 1 | = | (1-(1+i)^-n)/i | Where, | |||||||
= | (1-(1+0.0179)^-60)/0.0179 | i | = | Interest rate | = | 0.0179 | ||||
= | 36.597768 | n | = | number of period | = | 60 | ||||
b. | Total interest paid | $ 2,116.56 | ||||||||
Working; | ||||||||||
Total repayment | = | $ 90.44 | * | 60 | = | $ 5,426.56 | ||||
Less amount borrowed | = | $ 3,310.00 | ||||||||
Interest paid | = | $ 2,116.56 | ||||||||