Question

Duncan is purchasing a home for $178,000. He makes a 15% down payment and obtains a 15 year fixed rate mortgage loan at 4% annual interest. His monthly payments are $1,119.15. H pays an intagible tax of 0.2%. Which of the following is the total cost of principal, interest, down payment, and amount of intagible tax? (show work)

A= $228,449.60
B= $201,447.00
C= $228,503.00
D= $201,749.60

Answer 1

1119.15×12=13,429.8 deposits per year
cost of principal
PVAO=13,429.8×((1−(1+0.04)^(−15))÷(0.04))=149,317.72
interest
13,429.8×15−149,317.72=52,129.28
down payment
178,000×0.15=26,700
intagible tax
178,000×0.002=356

Total cost
52,129.28+356+149,317.72+26,700
=228,503....answer