Question

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Plato Pharmaceuticals Ltd. has invested $100,000 to date in developing a new type of insect repellent....

Plato Pharmaceuticals Ltd. has invested $100,000 to date in developing a new type of insect repellent. The repellent is now ready for production and sale, and the marketing manager estimates that the product will sell 150,000 bottles a year for the first two years, 170,000 for year three and 200,000 for the next two years. The selling price of the insect repellent will be $6.00 a bottle and the variable costs are estimated to be $3.00 a bottle for Year one. For the next two years the selling price will be $6.50 with variable cost of $3.15 a bottle, and then selling price will be $7.00 after that with a variable cost of $3.55, and $3.80 per bottle. Fixed costs are expected to be $210,000 a year. The figure is made up of $160,000 additional fixed costs and $50,000 fixed costs relating to the existing business that will be apportioned to the new business. In order to produce the repellent, machinery and equipment costing $520,000 will have to be purchased immediately. The estimated residual (salvage) value of this machinery and equipment in five years’ time is $100,000. The business calculates depreciation following CCA rules. The business has a cost of capital of 12%. CCA 30% (50% rule applicable) of depreciation will be used, and taxes are paid at a rate of 40%. Required:

1. Create a cash flow statement for the project for the next 5 years

2. Calculate the net present value.

3. Calculate the internal rate of return.

4. Undertake sensitivity analysis to show how much the following factors would have to change before the project ceased to be feasible. a. The initial cost of machinery and equipment b. Fixed costs c. Variable costs/per bottle d. Selling Price per bottle of repellent e. The residual value of the machinery and equipment

5. Write a statement to explain which of these factors is the most sensitive one.

Solutions

Expert Solution

a. As a first step, depreciation is computed as given below as per cca

Machinery Amount Depreciation at 30% Net
Cost          520,000
year 1 50%          260,000           78,000        442,000
Year 2          442,000        132,600        309,400
Year 3          309,400           92,820        216,580
Year 4          216,580           64,974        151,606
Year 5          151,606           45,482        106,124
Salvage        100,000
Loss on sale             6,124

b. The cash flows are calculated as given below

The apportioned fixed cost is ignored as its not relevant for this project.

Particulars Year 1 Year 2 Year 3 Year 4 Year 5
Units          150,000        150,000        170,000        200,000        200,000
Selling price                6.00               6.50               6.50               7.00               7.00
Variable Cost                3.00               3.15               3.15               3.55               3.80
Contribution- Selling price minus Variable Cost                3.00               3.35               3.35               3.45               3.20
Contribution Value          450,000        502,500        569,500        690,000        640,000
Addl Fixed Cost        (160,000)       (160,000)       (160,000)       (160,000)       (160,000)
Depreciation          (78,000)       (132,600)         (92,820)         (64,974)         (45,482)
Loss on Sale                     -             (6,124)
Net profit          212,000        209,900        316,680        465,026        428,394
Tax at 40%            84,800           83,960        126,672        186,010        171,358

Operating Cash flow=

contribution minus fixed cost

         290,000        342,500        409,500        530,000        480,000
less Taxes          (84,800)         (83,960)       (126,672)       (186,010)       (171,358)
Cash flow net of taxes          205,200        258,540        282,828        343,990        308,642

c. NPV Calculation

Particulars Year 0 Year 1 Year 2 Year 3 Year 4 Year 5
Investment        (100,000)
Fixed Asset        (520,000)
Cash flows net of taxes        205,200        258,540        282,828        343,990        308,642
Salvage value        100,000
Net        (620,000)        205,200        258,540        282,828        343,990        408,642
Discounting Factor at 12%                1.00               0.89               0.80               0.71               0.64               0.57
Discounted Cash flows- DCF        (620,000)        183,214        206,107        201,311        218,612        231,875
NPV          421,118 <total of dcf>

d. IRR is calculated using trial and error method. basis that the IRR when NPV is 0 is 33.68% as given below

Particulars Year 0 Year 1 Year 2 Year 3 Year 4 Year 5
Investment        (100,000)
Fixed Asset        (520,000)
Cash flows net of taxes        205,200        258,540        282,828        343,990        308,642
Salvage value        100,000
Net        (620,000)        205,200        258,540        282,828        343,990        408,642
Discounting Factor at 33.68                1.00               0.75               0.56               0.42

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