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- June 1, 2015 at 10:58 pm #251716
Dear Sir, this question is from June’12 Q no 1
Project 1
This is an investment in new machinery to produce a recently-developed product. The cost of the machinery, which
is payable immediately, is $1·5 million, and the scrap value of the machinery at the end of four years is expected to
be $100,000. Capital allowances (tax-allowable depreciation) can be claimed on this investment on a 25% reducing
balance basis. Information on future returns from the investment has been forecast to be as follows:
Year 1 2 3 4
Sales volume (units/year) 50,000 95,000 140,000 75,000
Selling price ($/unit) 25·00 24·00 23·00 23·00
Variable cost ($/unit) 10·00 11·00 12·00 12·50
Fixed costs ($/year) 105,000 115,000 125,000 125,000
This information must be adjusted to allow for selling price inflation of 4% per year and variable cost inflation of 2·5%
per year. Fixed costs, which are wholly attributable to the project, have already been adjusted for inflation. Ridag Co
pays profit tax of 30% per year one year in arrears.
Project 2
Ridag Co plans to replace an existing machine and must choose between two machines. Machine 1 has an initial
cost of $200,000 and will have a scrap value of $25,000 after four years. Machine 2 has an initial cost of $225,000
and will have a scrap value of $50,000 after three years. Annual maintenance costs of the two machines are as
follows:
Year 1 2 3 4
Machine 1 ($/year) 25,000 29,000 32,000 35,000
Machine 2 ($/year) 15,000 20,000 25,000
Where relevant, all information relating to Project 2 has already been adjusted to include expected future inflation.
Taxation and capital allowances must be ignored in relation to Machine 1 and Machine 2.
Other information
Ridag Co has a nominal before-tax weighted average cost of capital of 12% and a nominal after-tax weighted average
cost of capital of 7%.
Required:
(a) Calculate the net present value of Project 1 and comment on whether this project is financially acceptable
to Ridag Co. (12 marks)
(b) Calculate the equivalent annual costs of Machine 1 and Machine 2, and discuss which machine should be
purchased.Note: my question is here, how did they take the 7% as cost of capital on on the part-a, while in the part-b, they took the 12%.? in general we always take the cost of capital before tax , is not it?
June 2, 2015 at 8:58 am #251805You do not need to copy out the whole question – just giving the name and the date of the exam in enough 🙂
We do normally discount at the after tax WACC (which is what has been done for Project 1).
For Project 2, the last line of the information in the question says that taxation should be ignored. So for part (b) which is asking about Project 2 (machines 1 and 2), if tax is to be ignored we use the pre-tax WACC.
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