Question

which of the following statements is correct?
the npv method was once the favorite of academics and business executives, but today most authorities regard the mirr as being the best indicator of a project’s profitability.
if the cost of capital declines, this lowers a project’s npv.
the npv method is regarded by most academics as being the best indicator of a project’s profitability, hence most academics recommend that firms use only this one method and disregard other methods.
a project’s npv depends on the total amount of cash flows the project produces, but because the cash flows are discounted at the wacc, it does not matter if the cash flows occur early or late in the project’s life.
the npv and irr methods may give different recommendations regarding which of two mutually exclusive projects should be accepted, but they always give the same recommendation regarding the acceptability of a normal, independent project.

Explanation:

1. Analyze the first option: NPV is still widely regarded as a top indicator, and MIRR isn't universally seen as better than NPV for project profitability, so this is incorrect.
2. Analyze the second option: A lower cost of capital (discount rate) increases the present value of future cash flows, thus increasing NPV, not lowering it. So this is incorrect.
3. Analyze the third option: Most academics recommend using multiple methods (like NPV, IRR, payback, etc.) for project evaluation, not just NPV. So this is incorrect.
4. Analyze the fourth option: The timing of cash flows matters because of the time - value of money. Cash flows received earlier have a higher present value when discounted at WACC. So this is incorrect.
5. Analyze the fifth option: For mutually exclusive projects, NPV and IRR can conflict due to differences in cash flow patterns and scale. But for normal (conventional cash flows: initial outflow followed by inflows) independent projects, if a project has a positive NPV, its IRR will be greater than the cost of capital, so they give the same accept - reject recommendation. This statement is correct.

Answer:

The NPV and IRR methods may give different recommendations regarding which of two mutually exclusive projects should be accepted, but they always give the same recommendation regarding the acceptability of a normal, independent project.