Math Problem Statement
If the NPV of project A is $120, that of project B is −$40, and that of project C is $40, what is the NPV of the combined project?
Solution
The Net Present Value (NPV) of a combined project is simply the sum of the NPVs of its individual projects, as long as the projects are independent and their cash flows can be directly added.
Calculation:
- NPV of Project A =
- NPV of Project B =
- NPV of Project C =
Combined NPV =
Final Answer:
The NPV of the combined project is $120.
Let me know if you’d like further clarification or a more detailed breakdown!
Related Questions:
- What does a negative NPV indicate in decision-making?
- How do you calculate the NPV of a single project from its cash flows?
- What assumptions are implicit when combining NPVs of projects?
- How does discount rate affect NPV calculations?
- What happens to the combined NPV if Project B’s value changes?
Tip:
Always ensure the projects are independent when summing NPVs, as interdependencies can alter cash flows and affect the combined project's NPV.
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Math Problem Analysis
Mathematical Concepts
Net Present Value (NPV)
Summation of Values
Formulas
Combined NPV = NPV_A + NPV_B + NPV_C
Theorems
Additivity of Independent Cash Flows
Suitable Grade Level
Grades 11-12 or College Level
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