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 = +120+120
  • NPV of Project B = 40-40
  • NPV of Project C = +40+40

Combined NPV = 12040+40=120120 - 40 + 40 = 120

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:

  1. What does a negative NPV indicate in decision-making?
  2. How do you calculate the NPV of a single project from its cash flows?
  3. What assumptions are implicit when combining NPVs of projects?
  4. How does discount rate affect NPV calculations?
  5. 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