BUSF_A01.qxd

(Darren Dugan) #1
Appendix 4 • Suggested answers to selected problem questions

lLevel of competition in the market.
lThe contract size, relative to the size of the business.

6.1 Easton Ltd
Different cash flows of Machine A

2,000 3,000 5,000
Year Demand Demand Demand
£££
0 (15,000) (15,000) (15,000)
1 (£4 –£1)/unit 6,000 9,000 15,000
2 6,000 9,000 15,000
3 6,000 9,000 15,000
Discounted: Factor £££
0 (1.00) (15,000) (15,000) (15,000)
1 (0.94) 5,640 8,460 14,100
2 (0.89) 5,340 8,010 13,350
3 (0.84) 5,040 7,560 12,600
1,020 9,030 25,050

Expected net present value =(0.2 ×1,020) +(0.6 ×9,030) +(0.2 ×25,050) =£10,632

Different cash flows of Machine B

2,000 3,000 5,000
Year Demand Demand Demand
£££
0 (20,000) (20,000) (20,000)
1 (£4 –£0.5)/unit 7,000 10,500 17,500
2 7,000 10,500 17,500
3 7,000 10,500 17,500
Discounted: Factor £££
0 (1.00) (20,000) (20,000) (20,000)
1 (0.94) 6,580 9,870 16,450
2 (0.89) 6,230 9,345 15,575
3 (0.84) 5,880 8,820 14,700
(1,310) 8,035 26,725

Expected net present value =(0.2 ×(−1,310)) +(0.6 ×8,035) +(0.2 ×26,725) =£9,904

A more direct route to expected net present values would be to take the ‘expected’
demand [(0.2 ×2,000) +(0.6 ×3,000) +(0.2 ×5,000) =3,200] and then find the NPV assum-
ing that level of demand.

6.2 Easton Ltd
(a) NPV
The expression for the NPV of this particular project may be put as follows:

NPV =D(S−V)Anr−I

Chapter 6


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