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Question 3IRR = a% + NPVa (b%-a%)NPVa- NPVbAnglo Ltd has a cost of capital of 12% and it has appraised two projects.Project A has a positive NPV of €5,000 when discounted at 12%and a positive NPV of €3,600 when discounted at 16%.Project B has a positive NPV of €8,000 when discounted at 12%and a negative NPV of €1,000 when discounted at 16%.The projects are mutually exclusive.Required:What is the IRR of Project A and B?• Project A has an IRR of 26.3% and B an IRR of 16.5%• Project A has an IRR of 26.3% and B an IRR of 15.6%• Project A has an IRR of 14.3% and B an IRR of 16.5%• Project A has an IRR of 14.3% and B an IRR of 15.6%Which of the following statements is correct?• Both NPV and IRR indicate that Project A is the more financially viable project.• In order to maximise shareholder wealth Project A is the better project.• Neither Project A or Project B should be accepted from a financial perspective.• Project B will increase shareholder wealth more than Project A at the current cost of capital.

Question

Question 3IRR = a% + NPVa (b%-a%)NPVa- NPVbAnglo Ltd has a cost of capital of 12% and it has appraised two projects.Project A has a positive NPV of €5,000 when discounted at 12%and a positive NPV of €3,600 when discounted at 16%.Project B has a positive NPV of €8,000 when discounted at 12%and a negative NPV of €1,000 when discounted at 16%.The projects are mutually exclusive.Required:What is the IRR of Project A and B?• Project A has an IRR of 26.3% and B an IRR of 16.5%• Project A has an IRR of 26.3% and B an IRR of 15.6%• Project A has an IRR of 14.3% and B an IRR of 16.5%• Project A has an IRR of 14.3% and B an IRR of 15.6%Which of the following statements is correct?• Both NPV and IRR indicate that Project A is the more financially viable project.• In order to maximise shareholder wealth Project A is the better project.• Neither Project A or Project B should be accepted from a financial perspective.• Project B will increase shareholder wealth more than Project A at the current cost of capital.

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Solution

To answer this question, we first need to calculate the IRR (Internal Rate of Return) for both projects. The IRR is the discount rate that makes the NPV (Net Present Value) of all cash flows (both positive and negative) from a particular project equal to zero.

The formula to calculate IRR is:

IRR = a% + [ NPVa / (NPVa - NPVb) ] * (b% - a%)

Let's calculate the IRR for both projects:

Project A: IRR = 12% + [ €5,000 / (€5,000 - €3,600) ] * (16% - 12%) IRR = 12% + [ 1.389 ] * 4% IRR = 12% + 5.56% IRR = 17.56%

Project B: IRR = 12% + [ €8,000 / (€8,000 - (-€1,000)) ] * (16% - 12%) IRR = 12% + [ 0.889 ] * 4% IRR = 12% + 3.56% IRR = 15.56%

So, the correct answer is: Project A has an IRR of 17.56% and B an IRR of 15.56%.

As for the second part of the question, since the projects are mutually exclusive and the cost of capital is 12%, Project A is the better project because it has a higher IRR. Therefore, the correct statement is: "In order to maximise shareholder wealth Project A is the better project."

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