Appendix 4 • Suggested answers to selected problem questions
5.4 Livelong Ltd
Calculation of present cost of operating the machine for its expected life:
Machine
Alpha Beta
££
Initial cost 50,000 90,000
Salvage value:
5,000 ×0.683 (3,415)
7,000 ×0.513 (3,591)
Annual running costs:
10,000 ×3.170 31,700
8,000 ×4.868 38,944
Present cost (a) 78,285 125,353
Annuity factor (b) 3.170 4.868
Equivalent annual value (a)/(b) £24,696 £25,750
Where the equivalent annual cost of A is the same as B, then the present cost of operat-
ing A for four years would be £81,628 (that is, £25,750 ×3.170). Thus the initial cost would
be £53,343 (that is, £81,628 −£31,700 +£3,415), so the increase would be £3,343.
5.5 Mega Builders plc
(a) ‘Money’ cost of salaries, wages and materials
‘Real’ cost (p.a.) =£1.3m +£2.5m +£0.25m =£4.05m
20X6 £4.05m ×1.03 =£4.172m
20X7 £4.05m ×1.03 ×1.04 =£4.338m
Plant
£ 000 Tax effect
Cost (20X4) 6,000
20X4 WDA (25%) (1,500)
4,500
20X5 proceeds (2,500)
Balancing allowance 2,000 @ 30% =£600,000
or
WDV at 31 Dec. 20X4 4,500
Additions 100
4,600
20X5 WDA (25%) (1,150) @ 30% =£345,000
3,450
20X6 WDA (25%) (862.5) @ 30% =£258,750
2,587.5
20X7 proceeds Zero
Balancing allowance 2,587.5 @ 30% =£776,250
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