Paul received a 12,000 loan from the bank. The bank charges his 6.99% yearly interest rate. 4 years, how much money does Paul owe in interest

Respuesta :

jushmk
Principal amount = 12,000
Annual interest rate (r) = 6.99% = 0.0699
Time (years) = 4 years
Number of installments (t) = 12*4 = 48 months

Monthly payment, A = P/D

Where,
D= {(1+r/12)^t-1}/{r/12*(1+r/12)^t} = {(1+0.0699/12)^48-1}/{0.0699/12(1+0.0699/12)^48} = 42.47

Therefore, A = 12000/42.47 = 282.59

Total payments after 4 years = 282.59*4*12 = 13,564.17

Interest owed = 13,564.17 - 12,000 = 1,564.17