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Similarly, the year 2 cash flow was forecast to be $2.42 million also. The present value of that<br />

second-year cash flow is only $1,680,556:<br />

The longer the time over which a cash flow is discounted, the lower is its present value. Exhibit 6.4<br />

presents the forecasted cash flows and their discounted present values for the brewery project.<br />

Exhibit 6.4 Discounted cash flows for brewery project (thousands).<br />

Summing the Discounted Cash Flows to Arrive at NPV<br />

Finally, we can calculate the NPV. The NPV is the sum of all discounted cash flows, which in the<br />

brewery example equals $614,000. To understand precisely what this means, observe that the sum of<br />

the discounted cash flows from years 1 through 10 is $10,614,000. This means that the project<br />

generates future cash flows that are worth $10,614,000 today. The initial cost of the project is $10<br />

million today. Thus, the project is worth $10,614,000 but costs only $10 million and therefore creates<br />

$614,000 of new wealth. The managers of the beer company would be well advised to adopt this<br />

project because it has a positive NPV and therefore creates wealth.<br />

More NPV Examples<br />

Consider two alternative projects, A and B. They both cost $1 million to set up. Project A returns<br />

$800,000 per year for two years starting one year after setup. Project B also returns $800,000 per year<br />

for two years, but the cash flows begin two years after setup. The firm uses a discount rate of 20%.<br />

Which is the better project, A or B?

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