Company X is forced to choose between two machines A and B. The two machines are designed differently, but have identical capacity and do exactly the same job. Machine A costs Rs. 1,50,000 and will last for 3 years. It costs Rs. 40,000 per year to run. Machine B is an ‘economy’ model costing only Rs. 1,00,000, but will last only for 2 years, and costs Rs. 60,000 per year to run. These are real cash flows. The costs are forecasted in rupees of constant purchasing power. Ignore tax. Opportunity cost of capital is 10 per cent. Which machine company X should buy?
Statement showing the Evaluation of Two Machines
Machines A B
Purchase cost (Rs.): (i) 1,50,000 1,00,000
Life of machines (years) 3 2
Running cost of machine per year (Rs.): (ii) 40,000 60,000
Cumulative present value factor for 1-3 years @ 10%: (iii) 2.486 -
Cumulative present value factor for 1-2 years @ 10%: (iv) - 1.735
Present value of running cost of machines (Rs.): (v) 99,440 1,04,100
[(ii) * (iii)] [(ii) * (iv)]
Cash outflow of machines (Rs.): (vi)=(i) +(v) 2,49,440 2,04,100
Equivalent present value of annual cash outflow 1,00,338 1,17,637
[(vi)÷(iii)] [(vi) ÷(iv)]
Decision: Company X should buy machine A since its equivalent cash outflow is less than machine B.
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