The internal rate of return (IRR) refers to the compound annual rate of return that a project generates based on its up-front cost and subsequent cash flows. Consider the case of Falcon Freight: Falcon Freight is evaluating a proposed capital budgeting project (project Sigma) that will require an initial investment of $800,000. Falcon Freight has been basing capital budgeting decisions on a project’s NPV; however, its new CFO wants to start using the IRR method for capital budgeting decisions. The CFO says that the IRR is a better method because returns in percentage form are easier to understand and compare to required returns. Falcon Freight’s WACC is 7%, and project Sigma has the same risk as the firm’s average project.   The project is expected to generate the following net cash flows: Year Cash Flow Year 1 $275,000 Year 2 $400,000 Year 3 $500,000 Year 4 $400,000   Which of the following is the correct calculation of project Sigma’s IRR? 27.98%   26.43%   31.09%   24.87%     If this is an independent project, the IRR method states that the firm should    .   If mutually exclusive projects are proposed that both have an IRR greater than the necessary WACC, the IRR method states that the firm should accept: The project with the greatest IRR, assuming that both projects have the same risk as the firm’s average project   The project that requires the lowest initial investment, assuming that both projects have the same risk as the firm’s average project   The project with the greater future cash inflows, assuming that both projects have the same risk as the firm’s average project

Essentials Of Investments
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Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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2. Internal rate of return (IRR)

The internal rate of return (IRR) refers to the compound annual rate of return that a project generates based on its up-front cost and subsequent cash flows. Consider the case of Falcon Freight:
Falcon Freight is evaluating a proposed capital budgeting project (project Sigma) that will require an initial investment of $800,000.
Falcon Freight has been basing capital budgeting decisions on a project’s NPV; however, its new CFO wants to start using the IRR method for capital budgeting decisions. The CFO says that the IRR is a better method because returns in percentage form are easier to understand and compare to required returns. Falcon Freight’s WACC is 7%, and project Sigma has the same risk as the firm’s average project.
 
The project is expected to generate the following net cash flows:
Year
Cash Flow
Year 1 $275,000
Year 2 $400,000
Year 3 $500,000
Year 4 $400,000
 
Which of the following is the correct calculation of project Sigma’s IRR?
27.98%
 
26.43%
 
31.09%
 
24.87%
 
 
If this is an independent project, the IRR method states that the firm should    .
 
If mutually exclusive projects are proposed that both have an IRR greater than the necessary WACC, the IRR method states that the firm should accept:
The project with the greatest IRR, assuming that both projects have the same risk as the firm’s average project
 
The project that requires the lowest initial investment, assuming that both projects have the same risk as the firm’s average project
 
The project with the greater future cash inflows, assuming that both projects have the same risk as the firm’s average project
 
 
 
I have found similar questions but none tells me how they came up with the correct IRR.  Please explain.
 
Thank you!
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