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