Suppose that you obtain a ten-year $100,000 loan to purchase a house and the annual interest rate is 7 percent, what should be your monthly payment of principal and interest for the next ten years? (Hint: In the Excel PMT process, convert the annual interest rate and payment periods to the monthly rate and payment periods.)
Present Value, PV of the loan | 100000 |
Annual interest Rate | 7% |
Monthly interest rate= | 7%/12= |
0.00583333 | |
No.of payment period = | 10 Yrs.*12= |
120 | |
Using the PV of annuity formula, | |
we get the monthly payment as the Plug-in value | |
PV=Pmt.*(1-(1+r)^-n)/r | |
substituting the values, | |
100000=Pmt.*(1-(1+0.005833)^-120)/0.005833 | |
Solving ,online , we get the monthly payment as | |
1161.06 | |
OR | |
Using the EXCEL function, | |
PMT function | |
Under Financial | |
PMT(7%/12,120,100000,0) | |
($1,161.08) | |
So, The ANSWER = | |
Monthly payment of principal and interest for the next ten years= | |
1161 | |
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