In: Finance
Please show all work in order to get credit on an excel file. If you provide only the answers without showing your work, I will not be able to provide any credit if your answer is wrong.
Mr. X bought a house for $293,000. He put 20% down and obtained a fully amortized monthly loan for the balance at 5.75% interest for 30 years.
a. Find the amount of X’s monthly payment.
b. Find the total interest paid by X.
c. Complete an amortization table for this loan
Question a:
Purchase price of House = $293,000
Down Payment = $293,000 * 20% = $58,600
PV = Loan Amount = Purchase price of House - Down Payment = $293,000 - $58,600 = $234,400
Interest rate per month = 5.75%/12 = 0.4791667%
n = 30 *12 = 360 months
Monthly Payment = [r * PV] / [1 - (1+r)^-n]
= [0.4791667% * $234,400] / [1 - (1+ 0.4791667%)^-360]
= $1,123.167 / 0.821091
= $1367.895
Therefore, Monthly Payment for X is $1,367.895
Question b:
Total Interest paid by X = (Months * Monthly Installment) - Loan Amount
= (360 months * $1,367.895 ) - $234,400
= $492,442.20 - $234,400
= $258,042.2
Total Interest paid by X is $258,042.2
Question c: