Acme Co. is considering a four-year project that will require an initial investment of $7,000. The base-case cash flows for this project are projected to be $12,000 per year. The best-case cash flows are projected to be $19,000 per year, and the worst-case cash flows are projected to be –$3,000 per year. The company’s analysts have estimated that there is a 50% probability that the project will generate the base-case cash flows. The analysts also think that there is a 25% probability of the project generating the best-case cash flows and a 25% probability of the project generating the worst-case cash flows. What would be the expected net present value (NPV) of this project if the project’s cost of capital is 11%? $22,823   $26,426   $24,024   $25,225

Financial Management: Theory & Practice
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ISBN:9781337909730
Author:Brigham
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Chapter26: Real Options
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Acme Co. is considering a four-year project that will require an initial investment of $7,000. The base-case cash flows for this project are projected to be $12,000 per year. The best-case cash flows are projected to be $19,000 per year, and the worst-case cash flows are projected to be –$3,000 per year. The company’s analysts have estimated that there is a 50% probability that the project will generate the base-case cash flows. The analysts also think that there is a 25% probability of the project generating the best-case cash flows and a 25% probability of the project generating the worst-case cash flows.
What would be the expected net present value (NPV) of this project if the project’s cost of capital is 11%?
$22,823
 
$26,426
 
$24,024
 
$25,225
 
 
Acme now wants to take into account its ability to abandon the project at the end of year 2 if the project ends up generating the worst-case scenario cash flows. If it decides to abandon the project at the end of year 2, the company will receive a one-time net cash inflow of $4,000 (at the end of year 2). The $4,000 the company receives at the end of year 2 is the difference between the cash the company receives from selling off the project’s assets and the company’s –$3,000 cash outflow from operations. Additionally, if it abandons the project, the company will have no cash flows in years 3 and 4 of the project.
Using the information in the preceding problem, find the expected NPV of this project when taking the abandonment option into account.
$29,136
 
$26,487
 
$31,784
 
$30,460
 
 
What is the value of the option to abandon the project?     
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