00:01
So you can afford a payment of $12 .50 per month for your mortgage.
00:07
You found a loan with a 30 -year term that charges interest of 6%, so 0 .06.
00:17
And we're making monthly payments, so the number of payments per year is 12.
00:24
Then for part a, we want to know how big of a loan you can afford.
00:28
Well, the loan amount is going to be equal to the payment amount times 1 minus 1 plus r over n to the negative nt divided by r over n.
00:47
So this is going to be 12 .50 times 1 minus r over n is 0 .06 over 12, so that is 0 .005.
01:03
And nt is 12 times 30, which is 360.
01:09
So we got 1 minus 1 .005 to the negative 360.
01:16
Oh, come on.
01:27
Negative 360, okay.
01:29
And we divide that by r over n, which was 0 .05, and that gives us a loan value of 208489 .52...