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Homework answers / question archive / 1) Find the unpaid balance on the debt
1) Find the unpaid balance on the debt. (Round your answer to the nearest cent.)
After 6 years of monthly payments on $160,000 at 3% for 25 years.
$ _____
2)
Year Cash Stream
a. Find the present value of the cash flow stream if the appropriate discount rate is 10 percent.
b. Find the value of the cash flow stream at Year 3 if the appropriate discount rate is 10 percent.
1)
First we calculate Monthly Payment using PMT FUnction in Excel:
=pmt(rate,nper,-pv,fv)
Here,
PMT = Monthly Payment = ?
Rate = 3%/12 = 0.25% compounded monthly
Nper = 25 years * 12 months = 300 months
PV = $160,000
FV = 0
Substituting the values in formula:
=pmt(0.25%,300,-160000,0)
PMT or Monthly Payment = $758.74
After 6 years of monthly payments:
Number of monthly payments (N) = 228 {(25-6) years * 12}
Now we calculate Unpaid Balance on Debt using PV Function in Excel:
=-pv(rate,nper,pmt,fv)
Here,
PV = Unpaid Balance on Debt = ?
Rate = 0.25%
Nper = 228 months
PMT = $758.74
FV = 0
Substituting the values in formula:
=-pv(0.25%,228,758.74,0)
PV or Unpaid Balance on Debt = $131,738.83
2)
a. Present value of the cash flow stream is $1,358.42
b. Value of the cash flow stream at Year 3 is $338.09