SOLUTIONS TO QUESTIONS 431
On a payback basis, the ranking of projects (with preference to the quickest payback)
is C, then A then B. The accounting rate of return method favours B, then A then C.
The NPV method ranks B followed by C then A. The IRR suggests that Project C has
the highest return (as the cash flows are returned more quickly). No absolute prefer-
ence is clear, although Project A is slightly less attractive. As the accounting profits
are likely to be important in terms of satisfying shareholders, this may be the opti-
mum solution.
12.4
123
NPV 1.7 1.1 1.0
Outlay 3.0 2.0 1.5
PI .57 .55 .67
57% 55% 67%
Ranking 2 3 1
Select All Part All
Ranking 1 Project 3 requires £1.5 million
Ranking 2 Project 1 requires £3 million
Ranking 3 Project 2 £0. 5 million available (25% of project)
Total investment £5 million
12.5
Payback period
End of year 4, i.e. £200,000.
Return on investment
12 345
Investment 200 160 120 80 40
Cash flows 45 50 55 50 35
−Depreciation 20% 40 40 40 40 40
Profit 5 10 15 10 − 5
ROI 2.5% 6.25% 12.5% 12.5% −12.5%
Over the 5 years:
Profit £35/ 5 =£7 Investment £200/ 2 =£100
ROI 7/ 100 =7%