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Mr.
00:01
Smith is purchasing a $140 ,000 house with a 20 % down payment which amounts to $28 ,000.
00:08
The remaining loan amount is $112 ,000.
00:11
Let's calculate the monthly payment and total interest paid for both 30 and 50 year mortgages at a 10 % interest rate compounded monthly.
00:19
For both mortgages options, we can use the mortgage payment formula m is equal to p into r into 1 plus r the whole power n by 1 plus r the whole power n minus 1.
00:28
Here m is the monthly payment, p is the principal loan amount, r is the monthly interest rate annual interest rate divided by 12.
00:35
Then n is the total number of payments.
00:37
So the first subdivision is 30 year mortgage.
00:48
So monthly interest rate is r is equal to 10 % by 12.
00:53
So which is equal to 0 .1 by 12 which is equal to 0 .008333.
00:59
And the total number of payments n is equal to 30 into 12 which is equal to 360.
01:07
Now m is equal to 112 ,000 principal amount into 0 .008333 of 1 plus 0 .008333 the whole power 360 n.
01:26
So by 1 plus 0 .008333 the whole power n is 360 minus 1...