Problema Solution
In Terms of paying less in interest, which is more economical for a $110,000 mortgage: a 30-year fixed-rate at 8.5% or a 15-year fixed-rate at 8%? How much is saved in interest ?
Answer provided by our tutors
First we will find the fixed monthly payment for each and then the total interest.
$110,000 mortgage: a 30-year fixed-rate at 8.5%
c = P0((r/12)/(1 - (1 + r/12)^(-N)), where P0 is the principal, r is the fixed rate as a decimal, N is the number of payments
c = 110,000*(0.085/12)/(1 - (1 + 0.085/12)^(-30*12))
c = $845.80
click here to see the step by step calculation:
Monthly payment: $845.80
Total interest: 12*30*845.80 - 110,000 = $194,488.00
$110,000 mortgage: a 15-year fixed-rate at 8%
c = 110,000*(0.08/12)/(1 - (1 + 0.08/12)^(-15*12))
c = $1,051.22
click here to see the step by step calculation:
Monthly payment: $1,051.22
Total interest: 12*15*1,051.22 - 110,000 = $79,219.60
More economical is $110,000 mortgage: a 15-year fixed-rate at 8%.
There is $194,488.00 - $79,219.60 = $115,268.4 saved in interest.