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Caspian Sea Drinks is considering the production of a diet drink. The expansion of the plant...

Caspian Sea Drinks is considering the production of a diet drink. The expansion of the plant and the purchase of the equipment necessary to produce the diet drink will cost $23.00 million. The plant and equipment will be depreciated over 10 years to a book value of $1.00 million, and sold for that amount in year 10. Net working capital will increase by $1.48 million at the beginning of the project and will be recovered at the end. The new diet drink will produce revenues of $8.85 million per year and cost $2.03 million per year over the 10-year life of the project. Marketing estimates 15.00% of the buyers of the diet drink will be people who will switch from the regular drink. The marginal tax rate is 26.00%. The WACC is 15.00%. Find the IRR (internal rate of return).

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Answer #1
Profit = (revenues-sales)*(1-switch%)
=(8850000-2030000)*(1-0.15)
=5797000
Time line 0 1 2 3 4 5 6 7 8 9 10
Cost of new machine -23000000
Initial working capital -1480000
=Initial Investment outlay -24480000
Profits 5797000 5797000 5797000 5797000 5797000 5797000 5797000 5797000 5797000 5797000
-Depreciation (Cost of equipment-salvage value)/no. of years -2200000 -2200000 -2200000 -2200000 -2200000 -2200000 -2200000 -2200000 -2200000 -2200000
=Pretax cash flows 3597000 3597000 3597000 3597000 3597000 3597000 3597000 3597000 3597000 3597000
-taxes =(Pretax cash flows)*(1-tax) 2661780 2661780 2661780 2661780 2661780 2661780 2661780 2661780 2661780 2661780
+Depreciation 2200000 2200000 2200000 2200000 2200000 2200000 2200000 2200000 2200000 2200000
=after tax operating cash flow 4861780 4861780 4861780 4861780 4861780 4861780 4861780 4861780 4861780 4861780
reversal of working capital 1480000
+Proceeds from sale of equipment after tax =selling price* ( 1 -tax rate) 740000
+Tax shield on salvage book value =Salvage value * tax rate 260000
=Terminal year after tax cash flows 2480000
Total Cash flow for the period -24480000 4861780 4861780 4861780 4861780 4861780 4861780 4861780 4861780 4861780 7341780
Discount factor= (1+discount rate)^corresponding period 1 1.155517425 1.335220519 1.542870576 1.7828138 2.0600725 2.3804496 2.750651009 3.1784252 3.672726 4.243899
Discounted CF= Cashflow/discount factor -24480000 4207448.451 3641181.31 3151126.268 2727026.2 2360004.4 2042378.9 1767501.578 1529619.1 1323753 1729961
NPV= Sum of discounted CF= 0.00
IRR is discount rate at which NPV = 0 = 15.5517%
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