In: Finance
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 $27.00 million. The plant and equipment will be depreciated over 10 years to a book value of $2.00 million, and sold for that amount in year 10. Net working capital will increase by $1.21 million at the beginning of the project and will be recovered at the end. The new diet drink will produce revenues of $8.69 million per year and cost $1.84 million per year over the 10-year life of the project. Marketing estimates 19.00% of the buyers of the diet drink will be people who will switch from the regular drink. The marginal tax rate is 29.00%. The WACC is 13.00%. Find the NPV (net present value).
Profit = (revenues-variable cost)*(1-switch %) |
=(8690000-1840000)*(1-0.19) |
=5548500 |
Time line | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |||
Cost of new machine | -27000000 | |||||||||||||
Initial working capital | -1210000 | |||||||||||||
=Initial Investment outlay | -28210000 | |||||||||||||
100.00% | ||||||||||||||
Profits | 5548500 | 5548500 | 5548500 | 5548500 | 5548500 | 5548500 | 5548500 | 5548500 | 5548500 | 5548500 | ||||
-Depreciation | (Cost of equipment-salvage value)/no. of years | -2500000 | -2500000 | -2500000 | -2500000 | -2500000 | -2500000 | -2500000 | -2500000 | -2500000 | -2500000 | 2000000 | =Salvage Value | |
=Pretax cash flows | 3048500 | 3048500 | 3048500 | 3048500 | 3048500 | 3048500 | 3048500 | 3048500 | 3048500 | 3048500 | ||||
-taxes | =(Pretax cash flows)*(1-tax) | 2164435 | 2164435 | 2164435 | 2164435 | 2164435 | 2164435 | 2164435 | 2164435 | 2164435 | 2164435 | |||
+Depreciation | 2500000 | 2500000 | 2500000 | 2500000 | 2500000 | 2500000 | 2500000 | 2500000 | 2500000 | 2500000 | ||||
=after tax operating cash flow | 4664435 | 4664435 | 4664435 | 4664435 | 4664435 | 4664435 | 4664435 | 4664435 | 4664435 | 4664435 | ||||
reversal of working capital | 1210000 | |||||||||||||
+Proceeds from sale of equipment after tax | =selling price* ( 1 -tax rate) | 1420000 | ||||||||||||
+Tax shield on salvage book value | =Salvage value * tax rate | 580000 | ||||||||||||
=Terminal year after tax cash flows | 3210000 | |||||||||||||
Total Cash flow for the period | -28210000 | 4664435 | 4664435 | 4664435 | 4664435 | 4664435 | 4664435 | 4664435 | 4664435 | 4664435 | 7874435 | |||
Discount factor= | (1+discount rate)^corresponding period | 1 | 1.13 | 1.2769 | 1.442897 | 1.63047361 | 1.8424352 | 2.0819518 | 2.35260548 | 2.6584442 | 3.004041938 | 3.394567 | ||
Discounted CF= | Cashflow/discount factor | -28210000 | 4127818.584 | 3652936.8 | 3232687.434 | 2860785.34 | 2531668.4 | 2240414.6 | 1982667.744 | 1754573.2 | 1552719.668 | 2319717 | ||
NPV= | Sum of discounted CF= | -1954011.41 |