Question

Suppose that a 15-year mortgage loan for 200 00o USD is obtained. The mortgage is a...

Suppose that a 15-year mortgage loan for 200 00o USD is obtained. The mortgage is a level-payment, fixed rate, fully amortized mortgage. The mortgage rate is 7%.

a.Compute an amortization schedule for the first six months.

b. What will the mortgage balance be at the end of 15th year?

Homework Answers

Answer #1

First we need to find the monthly payment using PMT function in EXCEL

=PMT(rate,nper,pv,fv,type)

rate=7%/12=0.5833%

nper=15 years*12=180

pv=200000

fv=0

=PMT(0.5833%,180,-200000,0,0)=$1797.66

a. Please find the amortization schedule with formulas

Periods Opening Balance Monthly fixed payment Interest amount=(Opening Balance*0.5833%) Principal amount=Monthly payment-Interest Ending Balance=Opening Balance-Principal
1 200000.00 1797.66 1166.67 630.99 199369.01
2 199369.01 1797.66 1162.99 634.67 198734.34
3 198734.34 1797.66 1159.28 638.37 198095.97
4 198095.97 1797.66 1155.56 642.10 197453.87
5 197453.87 1797.66 1151.81 645.84 196808.03
6 196808.03 1797.66 1148.05 649.61 196158.42

b. The end of the balance will become zero beacuse the mortgage period is 15 years

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