Math Problem Statement
Based on the previous question, which one of the following statement is correct?
The IRR of the project must be more than 15%
The IRR of the project must be 0
The IRR of the project must be less than 15%
The IRR of the project must be equals to 15%
Solution
To determine which statement is correct, we need to consider the context of the "previous question" you are referring to, which likely relates to the Internal Rate of Return (IRR) and possibly a comparison to a required rate of return, often referred to as the discount rate.
Internal Rate of Return (IRR) is the rate at which the Net Present Value (NPV) of a project's cash flows is zero. If we assume the context involves comparing IRR to a required rate of return (e.g., 15%), then:
- If the IRR is more than 15%: The project is likely profitable because its return exceeds the required rate.
- If the IRR is less than 15%: The project is likely not profitable because its return is below the required rate.
- If the IRR equals 15%: The project breaks even, as the return matches the required rate.
- If the IRR is 0: The project would yield no net gains.
Since no further details from the "previous question" are provided, the most common interpretation for projects is:
- The correct statement is "The IRR of the project must be equals to 15%" if the goal is to meet exactly a 15% required return.
Would you like a detailed explanation on how IRR works or its calculation?
Here are five related questions:
- How is the IRR calculated for a series of cash flows?
- What does it mean when the IRR is greater than the cost of capital?
- How does IRR compare to NPV when evaluating projects?
- What are the limitations of using IRR in decision-making?
- How would a change in initial investment affect the IRR of a project?
Tip: The IRR assumes that project cash flows are reinvested at the IRR rate, which may not always be realistic in practice.
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Math Problem Analysis
Mathematical Concepts
Finance
Internal Rate of Return (IRR)
Net Present Value (NPV)
Discount Rate
Formulas
Net Present Value (NPV) formula: NPV = Σ (Cash flow / (1 + IRR)^t)
IRR calculation (where NPV = 0)
Theorems
If NPV = 0, the IRR equals the discount rate
IRR > Discount Rate implies a profitable project
Suitable Grade Level
University-level Finance or Business Courses