Question
Assume management's job is to maximize firm value by pursuing as many positive NPV projects as the companys total budget allows. The companys total budget
Assume management's job is to maximize firm value by pursuing as many positive NPV projects as the companys total budget allows. The companys total budget of $9000 comes from $5000 of cash on hand and a revolving credit line of $4000 (if management chooses to use it).
Management has identified five projects (I,II,III,IV,V) with the following characteristics:
Initial Outlay | NPV | # of FCFs | Cost Capital | FCFs | Profitability Index (PI) | IRR | |
Project I | $3,300 | $900 | 6 | 25.0% | $1,423 | 1.27 | 36.4% |
Project II | $2,000 | $800 | 6 | 25.0% | $949 | ??? | 41.5% |
Project III | $1,800 | $500 | 6 | 25.0% | ??? | ??? | 36.6% |
Project IV | $1,200 | $400 | 6 | 25.0% | $542 | ??? | 38.9% |
Project V | $800 | $(50) | 6 | 25.0% | $254 | ??? | 22.2% |
- Example: Project I will use $3300 of the companys total budget if accepted. The project produces equal Future Cash flows of $1,423 and the end of every year for the next six years. The projects NPV is $800 using a 25% discount rate.
Widget Co. has 3 operating segments (Alpha, Beta, Gamma) and management uses in a soft capital rationing system that limits how much each segment can spend:
Max Budget | |
Alpha | $4500 |
Beta | $2500 |
Gamma | $2000 |
- For example, Alpha segment can spend up to $4500
Each segment has different manufacturing capabilities and can only complete certain projects:
Alpha | Beta | Gamma | |
Project I | Yes | No | No |
Project II | Yes | No | No |
Project III | Yes | Yes | No |
Project IV | No | Yes | Yes |
Project V | No | Yes | Yes |
- For example, the Alpha segment has the manufacturing capability to complete Projects I,II,& III, but not Projects IV or V
- A segments can pursue multiple projects if the segments budget allows for it
- A project can only be completed by any segment one time
Project IIIs Future Cash Flows are forecasted to be closest to:
$169
$542
$610
$779
$812
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