In: Finance
Question1 [41 MARKS]
ABC Holdings is considering two projects. The projects are similar in nature and are expected to both operate for four years. Due to unavailability of funds to undertake both of them, only one project can be accepted. The cost of capital is12%.
The following information is available:
Net cash flows
Project A Project B
$ $
Initial investment 46 000 000 46 000 000
Year 1 17 000 000 15 000 000
Year 2 14 000 000 13 000 000
Year 3 24 000 000 15 000 000
Year 4 9 000 000 25 000 000
Estimated scrap value at the end of year 4 4 000 000 4 000 000
Depreciation is charged on the strait line basis.
Requirements | subtotal | Total | |
a) | Calculate the following for both proposals | ||
i) The payback period( round off your answer to one decimal place) | 2 | 2 | |
ii) The net present value(NPV) | 4 | 6 | |
iii) The return on investment (ROI) | 8 | 14 | |
iv) The residual income (RI) | 4 | 18 | |
v) If the two projects are mutually exclusive, which project should be chosen and why? | 4 | 22 | |
b) | Determine the sensitivity of projects A to a change in cost of capital | 6 | 28 |
c) | Determine the sensitivity of project B to a change in initial investment | 2 | 30 |
d) | Assuming that the management of ABC holdings have decided to undertake both projects and the projects can be undertaken in part, how much NPV will they get if they have $80 000 000 available to invest. | 5 | 35 |
e) | Explain three non-financial considerations that should be taken into account before a project is chosen | 6 | 41 |
a.. | ||||
Year | PrA. C/f | CumulativeP/B | PrB. C/f | |
0 | -46000000 | -46000000 | -46000000 | -46000000 |
1 | 17000000 | -29000000 | 15000000 | -31000000 |
2 | 14000000 | -15000000 | 13000000 | -18000000 |
3 | 24000000 | 9000000 | 15000000 | -3000000 |
4 | 13000000 | 22000000 | 29000000 | 26000000 |
22000000 | 26000000 | |||
i.P/B period | 2+(15/24)= | 3+(3/29)= | ||
2.6 | 3.1 | |||
Yrs. | Yrs. | |||
ii.NPV at 12% | 5683747 | 6863106 | ||
iii.ROI=NPV/Initial Investment | ||||
12% | 15% | |||
iv.Residual Income=NPV-(Initial investment*Cost of capital) | ||||
163747 | 1343106 | |||
v. Project B for its greater NPV, ROI & Residual income | ||||
b.Sensitivity of Project A's NPV to change in COC(+/-2%) | |||
Year | PrA. C/f | ||
0 | -46000000 | ||
1 | 17000000 | ||
2 | 14000000 | ||
3 | 24000000 | ||
4 | 13000000 | ||
22000000 | |||
NPV10%-NPV12%)/NPV12% | |||
ii.NPV at 12% | 5683747 | Change % | |
NPV at 10% | 7935524 | 39.62% | |
NPV at 14% | 3581186 | -36.99% |
c.Sensitivity of Project B's NPV to change in Initai Investment(+/-10%) | |||
PrB. C/f | 10% | -10% | |
-46000000 | -50600000 | -41400000 | |
15000000 | 15000000 | 15000000 | |
13000000 | 13000000 | 13000000 | |
15000000 | 15000000 | 15000000 | |
29000000 | 29000000 | 29000000 | |
26000000 | 21400000 | 30600000 | |
6863106 | 2263106 | 11463106 | |
Change | -4600000 | 4600000 | |
Change % | -67.03% | 67.03% |
d..Year | PrA. C/f | PrB. C/f |
0 | -40000000 | -40000000 |
1 | 17000000 | 15000000 |
2 | 14000000 | 13000000 |
3 | 24000000 | 15000000 |
4 | 13000000 | 29000000 |
28000000 | 32000000 | |
ii.NPV at 12% | 11683747 | 12863106 |
e.Three non-financial considerations that should be taken into account before a project is chosen |
Possibility of Continuity in cash flows, considering political , environmentsl & other factors. |
Existing employees' acceptance & comfort level in working with the new investment. |
Any factor that will affect the existing relationship with customers & suppliers. |