Answer:
cash received = $510194.55
Explanation:
given data
sold your house = $1000000
time t = 30 year = 360 month
initial balance P = $800,000
mortgage currently exactly = 18½ years = 138 months
interest rate r = 5.25 % = 0.525% per month
solution
first, we will get monthly loan payment is express as
C = P ÷ [tex]\frac{1}{r} \times (1-\frac{1}{(1+r)^n})[/tex] ...............1
Put here values
C = 800,000 ÷ [tex]\frac{1}{.00525} \times (1-\frac{1}{(1+0.00525)^{360}})[/tex]
C = $ 4951.78
so that monthly payment is $ 4951.78
and
Balance after the 18.5 years will be
Balance = $ 4951.78 × [tex]\frac{1}{0.00525}[/tex] × [tex](1-\frac{1}{1.00525^{138}})[/tex]
Balance after 18.5 year = $ 485287.64
Balance after 18.5 year = $489805.45
but here we received here $1000,000 excess cash received is
so
cash received = 1000,000 - 489805.45
cash received = $510194.55
