As a separate project (Project P), the firm is considering sponsoring a pavilion at the upcoming World’s Fair. The Pavilion would cost $900,000, and it is expected to result in $5.5 million of incremental cash inflows during its 1 year of operation. However, it would then take another year, and $5 million of costs, to demolish the site and return it to its original condition. Thus, Project P’s expected net cash flows look like this (in millions of dollars):
Year 0 1 2
Year | Net Cash Flows |
0 | ($0.9) |
1 | 5.5 |
2 | (5.0) |
The project is estimated to be of average risk, so its cost of capital is 10 percent.
(1) What is Project P’s NPV? What is its MIRR?
(2) Does Project P have normal or non-normal cash flows? Should this project be accepted?
So 1.>
Year | Project P | |
0 | -900000 | |
1 | 5500000 | |
2 | -5000000 | |
NPV | $ -32,231.40 | |
=NPV(0.1,Cash Flows from Year 1-2)-900000 | ||
MIRR | 9.65% | |
=MIRR(Cash Flows from Year 0-2,0.1,0.1) |
Sol 2.>
Cash flows which change direction (sign) only once are known as normal cash flows. Here we have Cash outflow in year 0, then cash Inflow in year 1 and again cash outflow in year 2. Since the cash flow change its direction two times, this is a case of non-normal cash flow.
Since the NPV is negative, we should reject this project.
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