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SAP Inc. received a $1.5 million grant under its Small Business Innovation program. SAP invested the grant money and developed a system to remove metal contaminants from storm water in shipyards. The firm estimates that each shipyard spends $500,000 a year on storm water clean-up efforts. If SAP is able to sign up and retain four shipyards in the first year onwards, what is the present value (PV) of the project (net of investment) if the cost of capital for SAP is 14% per year? Assume a cost of operations and other costs for SAP equal 50% of revenue.A) $4.80 million
B) $5.64 million
C) $4.51 millionD) $5.93 million

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Answer:

B) $5.64 million

Explanation:

SAP inc can receive $500,000/ shipyard and 4 shipyards a year yields gross cash flows of  500*4 = $2,000,000. Half of these are costs that give us a Net cash flow of $1,000,000/ year.

Since there is no maturity of the project we calculate present value of cash flow with the following formula

PV of cash flow = 1,000,000/0.14 = $7.14 million rounded off

NPV = 7.14-1.5 = 5.64 million

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