Posted by
**Antoinette** on
.

You take out a 30-year $100,000 mortgage loan with an APR of 6 percent and monthly payments. In 12 years you decide to sell your house and pay off the mortgage. What is the principal balance on the loan?

I am working this on the assumption that your monthly rate is .005.

First we find our monthly payment:

100000= paym[1-(1.005)^-360]/.005

paym= 599.55

Now finding the amount of 144 of those payments

=599.55((1.005^144)-1)/.005

=125,995.64

Finding the value of our debt after 144 periods if no payments had been made

=100000(1.005^144

=205,075.08

So the outstanding balance after 12 years

= 205075.08-125995.64

=79,079.44

I hope you are familiar with the formulas I was using.