A borrower has a 20-year mortgage loan for $351,483 with an interest rate of 8 nd monthly payments. if she wants to pay off the loan after 7 years, what would be the outstanding balance on the loan?

Respuesta :

A borrower has a $351,483 home debt with 20 years left on it and monthly installments of 8. The loan has an unpaid balance of $174,961.5609.

Here is the Solution:

First, let's find the monthly payment.

Monthly interest rate =[tex](1 + 0.06)^{(1/12)} - 1 = 0.486755057%[/tex]

I/Y = 0.486755057

N = 30 [tex]\times[/tex] 12 = 360 payments

PV = 200,000

FV = 0

Find PMT to get $1,178.740834

Number of payments left after 8 years = (30 - 8)[tex]\times[/tex]12 = 264

Compute the PV to get the loan outstanding after 8 years with

N = 264

I/Y = 0.486755057

PMT = -1,178.740834

FV = 0

Find PV to get $174,961.5609

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