Archer Daniels Midland Company is considering buying a new farm that it plans to operate for 10 years. The farm will require an initial investment of $12.00 million. This investment will consist of $2.55 million for land and $9.45 million for trucks and other equipment. The land, all trucks, and all other equipment are expected to be sold at the end of 10 years for a price of $5.00 million, which is $2.35 million above book value. The farm is expected to produce revenue of $2.05 million each year, and annual cash flow from operations equals $1.95 million. The marginal tax rate is 35 percent, and the appropriate discount rate is 10 percent. Calculate the NPV of this investment.
Calculation of NPV | (in $ million) | ||||||||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | NPV | |
Initial Investment | -$12.00 | ||||||||||||
Salvage value of investment | $5.00 | ||||||||||||
Tax on Gain ($2.35 million * 35%) | -$0.82 | ||||||||||||
Cash flow from Operations | $1.95 | $1.95 | $1.95 | $1.95 | $1.95 | $1.95 | $1.95 | $1.95 | $1.95 | $1.95 | |||
Net Cash flow | -$12.00 | $1.95 | $1.95 | $1.95 | $1.95 | $1.95 | $1.95 | $1.95 | $1.95 | $1.95 | $6.13 | ||
x Discount Factor @ 10% | 1.00000 | 0.90909 | 0.82645 | 0.75131 | 0.68301 | 0.62092 | 0.56447 | 0.51316 | 0.46651 | 0.42410 | 0.38554 | ||
Present Value | -$12.00 | $1.77 | $1.61 | $1.47 | $1.33 | $1.21 | $1.10 | $1.00 | $0.91 | $0.83 | $2.36 | $1.59 | |
NPV of the Investment = | $1.59 | million | |||||||||||
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