00:01
To calculate the monthly payment of a home mortgage, we can use the formula for a fixed rate mortgage payment.
00:06
That monthly payment is equal to p times r times 1 plus r to the n over 1 plus r to the n minus 1.
00:29
So here we have a loan amount of $250 ,000, a rate, a monthly rate if the annual rate's 12%, excuse me, if the, we'll take the 4 .5 % and divide it by 12, that's going to be 0 .375 % and n is going to be 15 years times 12 months per year, that's 180 months.
01:09
And we'll do this to calculate the payment.
01:19
That would be $1 ,912 .48 per month.
01:48
To determine the total amount paid over the term of the loan, we can multiply this by 180.
01:57
I'll just keep the exact answer in my calculator when doing this.
02:02
So that comes out to $344 ,246 .98...