Question

"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 $22.00 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 $1.07 million at the beginning of the project and will be recovered at the end. The new diet drink will produce revenues of $9.23 million per year and cost $2.12 million per year over the 10-year life of the project. Marketing estimates 17.00% of the buyers of the diet drink will be people who will switch from the regular drink. The marginal tax rate is 25.00%. The WACC is 15.00%. Find the IRR (internal rate of return)."

Round to 4 decimal places, and % sign is required

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Answer #1
Profit = (revenues-sales)*(1-switch%)
=(9230000-2120000)*(1-0.17)
5901300
Time line 0 1 2 3 4 5 6 7 8 9 10
Cost of new machine -22000000
Initial working capital -1240000
=Initial Investment outlay -23240000
Profits 5901300 5901300 5901300 5901300 5901300 5901300 5901300 5901300 5901300 5901300
-Depreciation (Cost of equipment-salvage value)/no. of years -2100000 -2100000 -2100000 -2100000 -2100000 -2100000 -2100000 -2100000 -2100000 -2100000
=Pretax cash flows 3801300 3801300 3801300 3801300 3801300 3801300 3801300 3801300 3801300 3801300
-taxes =(Pretax cash flows)*(1-tax) 2850975 2850975 2850975 2850975 2850975 2850975 2850975 2850975 2850975 2850975
+Depreciation 2100000 2100000 2100000 2100000 2100000 2100000 2100000 2100000 2100000 2100000
=after tax operating cash flow 4950975 4950975 4950975 4950975 4950975 4950975 4950975 4950975 4950975 4950975
reversal of working capital 1240000
+Proceeds from sale of equipment after tax =selling price* ( 1 -tax rate) 750000
+Tax shield on salvage book value =Salvage value * tax rate 250000
=Terminal year after tax cash flows 2240000
Total Cash flow for the period -23240000 4950975 4950975 4950975 4950975 4950975 4950975 4950975 4950975 4950975 7190975
Discount factor= (1+discount rate)^corresponding period 1 1.17334128 1.376729759 1.615373857 1.8953848 2.2239333 2.6094327 3.0617551 3.5924836 4.215209 4.945879
Discounted CF= Cashflow/discount factor -23240000 4219552.389 3596185.068 3064909.698 2612121.3 2226224.6 1897337.7 1617038.215 1378148.2 1174550 1453933
NPV= Sum of discounted CF= 0.00
IRR is discount rate at which NPV = 0 = 17.3341%
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