Bob got a 30 year Fully Amortizing FRM for $1,500,000 at 4%, except with non-constant payments. For the first 2 years Bob will pay $1,250 per month. The loan will become a fully amortizing mortgage after 2 years. What will be the balance on this mortgage after 2 years

$1,593,535.83

Explanation:

Future Value of mortgage determines the future value of a mortgage after payments have been made, at a regular frequency, charged a regular rate of interest, compounded at payment dates.

DATA

PV = $1,500,000

N = 24

r = 0.04/12

PMT = $1250

FV =?

Solution

PV = (PMT/r)*[1 – 1/(1 + r)^N] + FV/(1 + r)^N

1,500,000 = (1250/(0.04/12)) * (1 – 1/(1 + 0.04/12)^24) + FV/(1 + 0.04/12)^24

1,500,000 = 28785.31353687 + 0.92323916 FV

FV = (1,500,000 - 28785.31353687)/ 0.92323916

FV = $1,593,535.83

if you use only 25 for your entertainment and only 200 for the groceries that you really need and take out the 50 per month for the computer then that should be enough