You are purchasing a new home and need to borrow $380,000 from a mortgage lender. The mortgage lender quotes you a rate of 5.75% APR for a 30-year fixed rate mortgage. The mortgage lender also tells you that if you are willing to pay two points, they can offer you a lower rate of 5.45% APR for a 30-year fixed rate mortgage. One point is equal to 1% of the loan value. So if you take the lower rate and pay the points, you will need to borrow an additional $7600 to cover points you are paying the lender. Assuming you do not pay the points and borrow from the mortgage lender at 5.75%, then your monthly mortgage payment (with payments made at the end of the month) will be closest to ________.
A) $2439
B) $2661
C) $2218
D) $3105

Question

Quizplus · Accepted Answer

C) First we need the monthly interest 11ea84dc_f574_deec_9a63_6955a3996010_TB1316_11_TB1316_11 or 0.4792%.
Now:
PV = $380,000 (no points)
I = 0.4792
FV = 0
N = 360 (30 years × 12 months)
Compute PMT = $2217.58.

You Are Purchasing a New Home and Need to Borrow