00:01
We have a mortgage amount equal to 238357.
00:08
We have a term of 15 years times 12 months is 180 months, so 180 monthly payments.
00:21
Our interest rate r is 3 .6 percent annual, which is 0 .003 per month.
00:34
And then we can calculate the monthly payment using the annuity formula.
00:43
It's going to be the loan amount times r over 1 minus 1 plus r to the negative t, which is 238357 times 0 .003 over 1 minus 1 .003 to the negative 180.
01:07
So that gives me monthly payments equal to, let's see here, 238357 times 0 .003 divided by, in parentheses, 1 minus 1 .003 to the negative 180, close my parentheses.
01:32
I have monthly payments equal to $1715 .70.
01:42
And then my loan balance after five years, that is the balance after 60 payments, will be the loan amount 238357 brought forward for 60 months minus the sum of the payments that we have made by 60 months.
02:10
And the sum of the payments by 60 months is equal to the monthly payment times 1 .003 to the 60th minus 1 over 0 .003.
02:25
So that is equal to, using my payment amount here, that is going to be equal to $112 ,604 .25.
02:56
So this then is equal to 238357 times 1 .003 to the 60th minus my answer from before.
03:16
This is equal to 172684...