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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)
- Consider the following stream of Cash flows:
Year Cash Stream
- 1 $500
- 2 200
- 3 450
- 4 450
- 5 150
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.
Expert Solution
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
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