Question

In: Finance

John and Peggy recently bought a house. They financed the house with a $150,000, 30-year mortgage...

John and Peggy recently bought a house. They financed the house with a $150,000, 30-year mortgage with a nominal interest rate of 6.68%. Mortgage payments are made at the end of each month. What total dollar amount of their mortgage payments during the first 4 years will go towards repayment of principal?

Solutions

Expert Solution

$ 7,181.45

Step-1:Calculation of monthly payment
Monthly Payment =-pmt(rate,nper,pv,fv)
= $ 965.93
Where,
rate = Monthly Interest rate = 6.68%/12 = 0.005566667
nper = Number of period = 30*12 = 360
pv = Initial cash flow = $       1,50,000
fv = Future cash flow = 0
Step-2:Calculation of loan value at the end of 4 years
Loan value at the end of 4 years =pv(rate,nper,pmt,fv)
= $ 1,42,818.55
Where,
rate = Monthly Interest rate = 6.68%/12 = 0.005566667
nper = Number of period = (30-4)*12 = 312
pmt = Monthly cash flow = $         -965.93
fv = Future cash flow = 0
Step-3:Calculation of principal repayment over 4 years
Principal repayment over 4 years = Loan value at the beginning - Loan value at the end of 4 years
= $ 1,50,000.00 - $ 1,42,818.55
= $       7,181.45

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