Two mutually exclusive projects have 3-year lives and a required rate of return of 10.5 percent. Project A costs $75,000 and has cash flows of $18,500, $42,900, and $28,600 for Years 1 to 3, respectively. Project B costs $72,000 and has cash flows of $22,000, $38,000, and $26,500 for Years 1 to 3, respectively. Using the IRR, which project, or projects, if either, should be accepted?

Both projects should be rejected

Explanation:

The internal rate of return is the discount rate that equates the after tax cash flows from an investment to the amount invested.

IRR can be calculated using a financial calculator:

For project A,

Cash flow in year zero = $75,000

Cash flow in year one = $18,500

Cash flow in year two = $42,900

Cash flow in year three = $28,600

IRR = 9.12%

For project B,

Cash flow in year zero = $-72,000

Cash flow in year one = $22,000

Cash flow in year two = $38,000

Cash flow in year three = $26,500

IRR = 9.48%

The decision rule on if to invest or not is if IRR > r

For both investments IRR is less than rate of return

9.12% < 10.50%

9.48% < 10.50%

To find the IRR using a financial calacutor:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the IRR button, and the compute button.

I hope my answer helps you