Question

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

Answer 1

$1,593,535.83

Step-by-step 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