The internal rate of retum (IRR) refers to the compound annual rate of return th
ID: 2616937 • Letter: T
Question
The internal rate of retum (IRR) refers to the compound annual rate of return that a project generates based on its up-front cost and subsequent cash flows. Consider this case Consider the following case Free Spirit Industries is evaluating a proposed capital budgeting project (project Delta) that will require an initial investment of $1,450,000 Free Spirit Industries 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 percentages and returns are easier to understand and to c is 896, and project Delta has the same risk as the firm's average project. ompare to required returns. Free Spirit Ind ustries's WACC The project is expected to generate the following net cash flows Which of the following is the correct calculation of project Delta's IRR? Year Cash Flow Year 1 $325,000 Year 2 $450,000 Year 3 $425,000 Year 4 $450,000 5.4096 o 6.17% o 5.65% 5.14% If this is an independent project, the IRR method states that the firm should If the project's cost of capital were to increase, how would that affect the IRR? The IRR would decrease. O The IRR would increase. O The IRR would not change.Explanation / Answer
Internal Rate of Return [IRR] of the Project = 5.14%
Step – 1, Firstly calculate NPV at Say 5%
Net Present Value [NPV] = Present Value of Annual cash flows – Initial Investment
= [325,000 x 0.95238] + [ 450,000 x 0.9070294] + [ 425,000 x 0.86383] + [450,000 x 00.822702] – 14,50,000
= $309,523.81 + 408,163.27 + 367,130.98 + 370,216.11 – 14,50,000
= $5,034.17
Step – 2, NPV at 5% is positive, Calculate the NPV again at a higher rate, Say 6%
Net Present Value [NPV] = Present Value of Annual cash flows – Initial Investment
= [325,000 x 0.943396] + [ 450,000 x 0.88999] + [ 425,000 x 0.839619] + [ 450,000 x 0.792093] – 14,50,000
= $306,603.77 + 400,498.40 + 356,838.20 + 356,442.15 – 14,50,000
= (29,617.48)
Therefore IRR = R1 + NPV1(R2-R1)
NPV1-NPV2
= 5% + $5,034.17 (6% - 5%)
$5,034.17 – ( - 29,617.48)
IRR = 5% + 0.14% = 5.14%
If this is an Independent Project, The IRR Method States that the firm should “ACCEPT PROJECT DELTA”
If the Project’s Cost of capital were to Increase, How would that affect the IRR ?
“THE IRR WOULD NOT CHANGE”
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