Question
Juliet has a 10-year mortgage of $500,000 with an interest rate of 3.5% APR, compounded quarterly. Mortgage payments are made at the beginning of each
Juliet has a 10-year mortgage of $500,000 with an interest rate of 3.5% APR, compounded quarterly. Mortgage payments are made at the beginning of each month. What is the balance remaining on this mortgage after the 60th payment? PLEASE DO NOT GIVE THE INCORRECT ANSWER of
Find first month rate as given rate is compounded quarterly (1 + r)^12 = (1 + 0.035/4)^4 r = (1 + 0.035/4)^(1/3) 1 = 0.002908 = 0.2908% Set up the TVM parameters PV = $500,000, r = 0.002908, N = 120, FV = 0; compute PMT =? PV = 500,000 = (PMT/0.002908)*(1 1/1.002908^120) PMT = 4941.91 Monthly payment = $4941.91 Again setup the TVM parameters PV = $500,000, r = 0.002908, N = 60, PMT = 4941.91; compute FV =? PV = 500,000 = (4941.91/0.002908)*(1 1/1.002908^60) + FV/1.002908^60 FV = 271,724.92 Amount left after 60th payment = $271,724.92 Thank you.
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