Question

In: Accounting

Q.3. Alia company is considering the purchase of a new machine. Two alternative machines C and...

Q.3. Alia company is considering the purchase of a new machine. Two alternative machines C and D have been suggested, each having an initial cost of 520,000 SR and requiring 30,000 SR as additional working capital at the end of first year. Earning after taxation are expected to be as follows:

Years

Cash Inflows Machine C (SR)

Cash Inflows Machine D (SR)

1

     136,000

160,000  

2

   148,000

180,000

3

    175,000

215,000

4

   190,000

  185,000

The company has targeted of return on capital of 5% and on this basis, you are required to compare the profitability of the machines and state which alternative you consider financially preferable. The present value of 1 (one) SR at 5% is 0.952, 0.907, 0.864, and 0.823 respectively from first to fourth year.

Solutions

Expert Solution

Statement showing NPV for Machine C Statement showing NPV for Machine D
Years Net Cash Flows Discount Factor PV of Cash Flows at 5% Net Cash Flows Discount Factor PV of Cash Flows at 5%
1 136000 0.952 129472 160000 0.952 152320
2 145000 0.907 131515 177000 0.907 160539
3 175000 0.864 151200 215000 0.864 185760
4 190000 0.823 156370 185000 0.823 152255
Total of PV of CashFlows 568557 650874
Less:Investment 520000 520000
NPV 48557 130874
Since the NPV of Machine D is more than the NPV of Machine C, Hence Machine D is more preferable
Average Annual Inflows =568557 / 4 =142139
Average Investment =(520000 / 4) =130000
Accounting Rate of Return for Machine C =(142139 / 130000)*100 =109.34%
Average Annual Inflows =650874 / 4 =162719
Average Investment =(520000 / 4) =130000
Accounting Rate of Return for Machine C =(162719 / 130000)*100 =125.17%
So in terms of Return also Machine D is more preferable

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