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?
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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