Flexibility options Tropetech Inc. is looking at investing in a production facil
ID: 2744243 • Letter: F
Question
Flexibility options
Tropetech Inc. is looking at investing in a production facility that will require an initial investment of $500,000. The facility will have a three-year useful life, and it will not have any salvage value at the end of the project’s life. If demand is strong, the facility will be able to generate annual cash flows of $260,000, but if demand turns out to be weak, the facility will generate annual cash flows of only $135,000. Tropetech Inc. thinks that there is a 50% chance that demand will be strong and a 50% chance that demand will be weak. If the company uses a project cost of capital of 12%, what will be the expected net present value (NPV) of this project?
-$12,819
-$16,665
-$26,920
-$25,638
Tropetech Inc. could spend $510,000 to build the facility. Spending the additional $10,000 on the facility will allow the company to switch the products they produce in the facility after the first year of operations if demand turns out to be weak in year 1. If the company switches product lines because of low demand, it will be able to generate cash flows of $255,000 in years 2 and 3 of the project. What is the expected NPV of this project if Tropetech Inc. decides to invest the additional $10,000 to give themselves a flexibility option?
$80,538
$32,215
$72,484
$54,900
What will be the value of Tropetech Inc.’s flexibility option?
$54,900
$32,215
$80,538
$72,484
Explanation / Answer
We proceed to analyze the situation using decision trees.
In the first case, refer to the top part of the decision tree.
NPV = 0.5 * 111,139.4 + 0.5*(-156,922.12) = -$22,891.36
On investing the additional $10,000, refer to the lower part of the decision tree.
NPV = 0.5* 146881.65 + 0.5* (-4174.90) = $ 49017.97
Thus the v alue of the option = NPV in the 2nd Case - NPV in the first case
NPV = 71909.33
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