a) Calculation of payback period.
Year |
Cash flows |
Commutative cash flows |
0 |
-50000 |
|
1 |
-800000 |
|
2 |
150000 |
1500000 |
3 |
200000 |
350000 |
4 |
250000 |
600000 |
5 |
300000 |
900000 |
6 |
300000 |
1200000 |
7 |
300000 |
1500000 |
8 |
300000 |
1800000 |
9 |
300000 |
2100000 |
10 |
30000 |
2400000 |
Payback period= 6 + 100000/300000
= 6.33 years
This project is not feasible because its payback period is greater than firm’s required payback period.
b) Calculation of NET PRESENT VALUE
Year | Cash flow | Cum cash flow | PV @14% | Present value |
0 | (500000) | 1.00 | (500000) | |
1 | (800000) | 0.877 | (701600) | |
2 | 150000 | 150000 | 0.769 | 115350 |
3 | 200000 | 350000 | 0.675 | 135000 |
4 | 250000 | 600000 | 0.592 | 148000 |
5-10 | 300000 | 240000 | 2.304 | 691200 |
Net present value (-112050)
NPV is negative so project is not acceptable
C ) What is the internal rate of return for the project? Is it acceptable? Support your decision with conceptual rationale
Years | Cash flows | PV @ 11% discount | PV @ 10% discount |
0 |
-500000 |
|
|
1 |
-800000 |
|
|
2 |
150000 |
121743.37 |
123966.94 |
3 |
200000 |
146238.27 |
150262.96 |
4 |
250000 |
164682.74 |
170753.36 |
5 |
300000 |
178035.39 |
186276.39 |
6 |
300000 |
160392.25 |
169342.17 |
7 |
300000 |
144497.52 |
153947.43 |
8 |
300000 |
130177.94 |
139952.2 |
9 |
300000 |
117277.43 |
127992.28 |
10 |
300000 |
105655.34 |
115662.986 |
NPV @ 11% discount = -31299.75
NPV @ 10% discount = 37393.7
IRR= Lower discount rate+ Difference of discount rates (NPV at lower discount rate/NPV at lower discount rates- NPV at higher discount rate
IRR= 11+1(37393.7/37397.3+31299.75)
IRR=11+ (0.5443)
IRR=11.54%
Because the internal rate of return is less than the required rate of return the project would not be acceptable.