NPV Theory 6 / 8

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Question 32b

The directors of Pelta Co are considering a planned investment project costing $25m, payable at the start of the first year of operation. The following information relates to the investment project:

Year 1 Year 2 Year 3 Year 4
Sales volume (units/year) 520,000 624,000 717,000 788,000
Selling price ($/unit) 30·00 30·00 30·00 30·00
Variable costs ($/unit) 10·00 10·20 10·61 10·93
Fixed costs ($/year) 700,000 735,000 779,000 841,000

This information needs adjusting to take account of selling price inflation of 4% per year and variable cost inflation of 3% per year.

The fixed costs, which are incremental and related to the investment project, are in nominal terms. The year 4 sales volume is expected to continue for the foreseeable future.

Pelta Co pays corporation tax of 30% one year in arrears. The company can claim tax-allowable depreciation on a 25% reducing balance basis.

The views of the directors of Pelta Co are that all investment projects must be evaluated over four years of operations, with an assumed terminal value at the end of the fourth year of 5% of the initial investment cost.

Both net present value and discounted payback must be used, with a maximum discounted payback period of two years. The real after-tax cost of capital of Pelta Co is 7% and its nominal after-tax cost of capital is 12%.

Required:
(b) Discuss the financial acceptability of the investment project. (3 marks)

Sample
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Question 32c

The directors of Pelta Co are considering a planned investment project costing $25m, payable at the start of the first year of operation. The following information relates to the investment project:

Year 1 Year 2 Year 3 Year 4
Sales volume (units/year) 520,000 624,000 717,000 788,000
Selling price ($/unit) 30·00 30·00 30·00 30·00
Variable costs ($/unit) 10·00 10·20 10·61 10·93
Fixed costs ($/year) 700,000 735,000 779,000 841,000

This information needs adjusting to take account of selling price inflation of 4% per year and variable cost inflation of 3% per year.

The fixed costs, which are incremental and related to the investment project, are in nominal terms. The year 4 sales volume is expected to continue for the foreseeable future.

Pelta Co pays corporation tax of 30% one year in arrears. The company can claim tax-allowable depreciation on a 25% reducing balance basis.

The views of the directors of Pelta Co are that all investment projects must be evaluated over four years of operations, with an assumed terminal value at the end of the fourth year of 5% of the initial investment cost.

Both net present value and discounted payback must be used, with a maximum discounted payback period of two years. The real after-tax cost of capital of Pelta Co is 7% and its nominal after-tax cost of capital is 12%.

Required:
(c) Critically discuss the views of the directors on Pelta Co’s investment appraisal. (6 marks)

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Question 5a

Degnis Co is a company which installs kitchens and bathrooms to customer specifications. It is planning to invest $4,000,000 in a new facility to convert vans and trucks into motorhomes. Each motorhome will be designed and built according to customer requirements. Degnis Co expects motorhome production and sales in the first four years of operation to be as follows.

Year 1 2 3 4
Motorhomes produced and sold 250 300 450 450
The selling price for a motorhome depends on the van or truck which is converted, the quality of the units installed and the extent of conversion work required. Degnis Co has undertaken research into likely sales and costs of different kinds of motorhomes which could be selected by customers, as follows:
Motorhome type Basic Standard Deluxe
Probability of selection 20% 45% 35%
Selling price ($/unit) 30,000 42,000 72,000
Conversion cost ($/unit) 23,000 29,000 40,000
Fixed costs of the production facility are expected to depend on the volume of motorhome production as follows:
Production volume (units/year) 200–299 300–399 400–499
Fixed costs ($000/year) 4,000 5,000 5,500

Degnis Co pays corporation tax of 28% per year, with the tax liability being settled in the year in which it arises. The company can claim tax allowable depreciation on the cost of the investment on a straight-line basis over ten years. Degnis Co evaluates investment projects using an after-tax discount rate of 11%.

Required:
(a) Calculate the expected net present value of the planned investment for the first four years of operation. (7 marks)

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