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Purple Whale Foodstuffs Inc

Finance Dec 21, 2020

Purple Whale Foodstuffs Inc. is evaluating a proposed capital budgeting project (project Sigma) that will require an initial investment of $900,000. Purple Whale Foodstuffs Inc. 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. Purple Whale Foodstuffs Inc.'s WACC is 9%, 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 Which of the following is the correct calculation of project Sigma's IRR? Year 1 Year 2 $325,000 $450,000 $425,000 $450,000 Year 3 0 26.53% 27.93% 0 23.74% 25.14% Year 4 If this is an independent project, the IRR method states that the firm should accept project Sigma reject project Sigma 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 that requires the lowest initial investment, assuming that both projects have the same risk as the firm's average project The project with the greatest IRR, assuming that both projects have the same risk as the firm's average project O The project with the greater future cash inflows, assuming that both projects have the same risk as the firm's average project

Expert Solution

Let irr be x%
At irr,present value of inflows=present value of outflows.

900,000=325000/1.0x+450,000/1.0x^2+425000/1.0x^3+450,000/1.0x^4

Hence x=irr=27.93%(Approx)

Hence since irr is greater than WACC;the firm should accept project Sigma

At irr,present value of inflows=present value of outflows.Hence the project having greater IRR must be selected as it would lead to greater value addition to the company

Hence the correct option is:

The project with the greatest IRR,assuming that both projects have the same risk as the firm's average project

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