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Note: Show all of your work to arrive at a final result. Use periodic interest factors in the calculation of NPV and IRR 1. A


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Answer 2 Amount in $
Calculation of NPV at 15%
Particulars Year 0 Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Year 8 Year 9 Year 10
Net cash flows (20,000.00) (20,000.00) (20,000.00) (20,000.00) 45,000.00 20,000.00 10,000.00 20,000.00 20,000.00 20,000.00     20,000.00
PV factor at 15%              1.00               0.87              0.76              0.66             0.57             0.50             0.43             0.38             0.33             0.28               0.25
PV of cash flows (20,000.00) (17,391.30) (15,122.87) (13,150.32) 25,728.90     9,943.53     4,323.28     7,518.74     6,538.04     5,685.25       4,943.69
NPV $    (983.08)
So NPV is $ 983.08.
Calculation of NPV at 14.63%
Particulars Year 0 Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Year 8 Year 9 Year 10
Net cash flows (20,000.00) (20,000.00) (20,000.00) (20,000.00) 45,000.00 20,000.00 10,000.00 20,000.00 20,000.00 20,000.00     20,000.00
PV factor at 15%              1.00               0.87              0.76              0.66             0.58             0.51             0.44             0.38             0.34             0.29               0.26
PV of cash flows (20,000.00) (17,447.44) (15,220.66) (13,278.08) 26,062.70 10,105.05     4,407.68     7,690.28     6,708.78     5,852.55       5,105.60
NPV $      (13.53)
So IRR is 14.63%.
Payback period
Particulars Year 0 Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Year 8 Year 9 Year 10
Net cash flows (20,000.00) (20,000.00) (20,000.00) (20,000.00) 45,000.00 20,000.00 10,000.00 20,000.00 20,000.00 20,000.00     20,000.00
Total cash outflows     80,000.00
Cash inflows in Year 4     45,000.00
Remaining Balance     35,000.00
Cash inflows in Year 5     20,000.00
Remaining Balance     15,000.00
Cash inflows in Year 6     10,000.00
Remaining Balance       5,000.00
Cash inflows in Year 7     20,000.00
$ 5,000 is 1/4th of $ 20,000 that is its been recovered in the first quarter only i.e. 3 months.
So Payback period is 6 years and 3 months.
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