Appendix 4 • Suggested answers to selected problem questions
Table of sensitivities
Factor Original estimate Break-even point Difference Difference as
% of original
D 2,000 units 1,871 units 129 units 6%
S £4 £2.806 £1.194 30%
V £1 £1.194 £0.194 19%
r 6% 10% 4% 67%
n 3 years 3 years 0 years 0%
I £15,000 £16,038 £1,038 7%
Note that rand ncould be found with considerably more accuracy (if this were
thought to be useful) by linear interpolation.
6.5 Hi Fido plc
Cash flows
20X0 20X1 20X2 20X3 20X4
£ 000 £ 000 £ 000 £ 000 £ 000
Plant (1,000)
Tracker revenue 2,160 2,208 1,104
Materials cost (756) (773) (386)
Additional labour (97) (99) (50)
Lost Repro contributions (432) (442) (221)
Management 120 (48) (48) (188)
Working capital (243) (5) 124 124
Taxation 43 (211) (233) 54
(1,123) 865 759 150 54
Discounted at 8% (1,123) 801 651 119 40
NPV =488 (positive)
On the basis of this analysis, the project should go ahead.
Workings
Expected revenue
20X1 20X2 20X3
8,000 (0.3) 4,000 (1.0)
10,000 (0.6)
10,000 (0.7) 5,000 (1.0)
12,000 (0.5) 6,000 (1.0)
12,000 (0.4)
15,000 (0.5) 7,500 (0.1)
20X1
(10,000 ×0.6) +(12,000 ×0.4) =10,800 (×£200)
=£2,160,000
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