Problema Solution
Find the monthly payment for the loan. (Round your answer to the nearest cent.)
A $124,000 home bought with a 20% down payment and the balance financed for 30 years at 7.5%
Answer provided by our tutors
20% down payment:
0.20 * 124000 = 24800
amount financed:
124000 - 24800 = 99200
$99,200 is financed for 30 years at 7.5%
let 'L' represent the amount of the loan
let 'p' represent the monthly payment
let 'r' represent the monthly interest rate
let 'm' represent the number of months
convert values to months:
0.075/12 =0.00625
30 years = 30*12 = 360 months
we then use the following formula to calculated fixed monthly payments:
p = L[r(1 + r)^m]/[(1 + r)^m - 1]
p = 99200[0.00625(1+0.00625)^360]/[(1+0.00625)^359 -1]
solving for 'p' we have p=698.47
the monthly payment will be approximately $698.47 per month