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Question 5.S2.RQ.23: A toy manufacturing company is considering replacing an exis......

A toy manufacturing company is considering replacing an existing piece of equipment with one of the two new, more sophisticated machines. The old machine was purchased 3 years ago at a cost of Rs 70,000. The machine originally had a projected life of 7 years and was to be depreciated straight line to zero salvage value. The two new pieces of equipment being considered are machine X and machine Y.
Machine X would cost Rs 80,000 to purchase, and Rs 20,000 to install. Due to expansion in operation, the management estimates the net working capital requirement of machine X at Rs 10,000. It has a 4-year life with no salvage value. It will be depreciated straight line.
Machine Y would cost Rs 1,15,000 and Rs 25,000 to install. It also has 4-year life with no salvage value. This machine would require a net working capital of Rs 20,000.
The old machine can be sold for Rs 25,000 on 1 year credit. The firm is taxed at 35 per cent. Assuming the cost of capital to be 10 per cent, which machine, if either, should the company acquire? The projected profits before depreciation and taxes currently and with each of the new machines are as follows:

What would be your answer, if the company has under consideration only the proposal to purchase machine X?

Year With  present Machine With  Machine X With  Machine Y
1 Rs 25,000 Rs 50,000 Rs 90,000
2 25,000 50,000 90,000
3 25,000 50,000 90,000
4 25,000 50,000 90,000
Step-by-Step
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Cash outflows

Working Notes
*Cash inflows from the sale of the present machine:

Cash inflows (t = 1 – 4)

The company should acquire machine Y. If the company has the proposal to buy machine X only, then it should continue with the existing machine.

Particulars Machine X Machine Y
Cost  of the machine Rs 80,000 Rs 1,15,000
Add installation cost 20,000 25,000
Add  net working capital 10,000 20,000
 Less cash inflows from the sale of the present machine 27,975* 27,975*
Net cash outflows 82,025 1,32,025
Book value of the machine (Rs 70,000 – Rs 30,000, accumulated depreciation) Rs 40,000
Less sale value 25,000
Short-term capital loss on the sale of    the machine 15,000
Tax  savings  on loss (0.35) 5,250
PV of Rs 25,000 to be received at (t = 1) = (Rs 25,000 x 0.909) 22,725 
27,975
Particulars Present machine Machine X Machine   Y
Earning  befor  depreciation and taxes Rs 25,000 Rs 50,000 Rs 90,000
Less depreciation 10,000 25,000 35,000
Net earnings 15,000 25,000 55,000
Less Taxes 5,250 8,750 19,250
EAT  9,750 16,250 35,750
Add depreciation 10,000 25,000 35,000
CFAT19,750 41,250 70,750
×  PV factor 3.170 3.170 3.170
Total  PV  of CFAT 62,607 1,30,762 2,24,277
PV of the release of WC (PV factor = 0.683) 6,830 13,660
Total PV 62,607 1,37,592 2,37,937
Less  cash outflows 82,025 1,32,025
NPV 62,607 55,567 1,05,912

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