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Sharon Fox decided to buy a home in Marblehead, Massachusetts, for $287,000. Her bank requires a 30% down payment. Sue Willis

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Answer #1
  • Total cost = 287000
  • Down payment = 30% x 287000 = 86100
  • Additional costs = 42+167+60 +1.8% x 287000 + 2.5% x 0.7 x 287000
    • Additional costs = 96557.5

We are given the following information

r 10.00%
n 30
frequency 12(monthly)
PV $   2,00,900.00

We need to solve the following equation to arrive at the required PMT

1- (1+ 1 )-nx frequency PV = PMT X- frequency 200900 = PMT 1-(1+0:1) –30x12 PMT = 1763.04

  • Total cost of interest = Sum of all the payments - Loan amount
  • Total cost of interest = 360 * 1763.04 - 200900 = 433794

Amortization schedule is as follows:

1 $ 2 $ 3 $ 2,00,900.00 $ 2,00,811.13 $ 2,00,721.51 $ 1,763.04 $ 1,763.04 $ 1,763.04 $ 1,674.17 $ 1,673.43 $ 1,672.68 $ 5 $ 6

Opening balance = previous year's closing balance
Closing balance = Opening balance+Loan-Principal repayment
PMT is calculated as per the above formula
Interest = 0.10 /12 x opening balance
Principal repayment = PMT - Interest

Total interest is $433794.86

Below is the chart for interest and principal repayment

2000 1500 1000 500 Interest Value Principal repeyment value

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