Question

In: Finance

A company is analyzing two mutually exclusive projects, S and L, with the following cash flows:...

A company is analyzing two mutually exclusive projects, S and L, with the following cash flows:

0 1 2 3 4


The company's WACC is 10.0%. What is the IRR of the better project? (Hint: The better project may or may not be the one with the higher IRR.) Round your answer to two decimal places.

Project S -$1,000 $901.79 $240 $5 $5
Project L -$1,000 $5 $260 $400 $751.37

Solutions

Expert Solution

Project S

Net present value is solved here using a financial calculator. The steps to solve on the financial calculator:

  • Press the CF button.
  • CF0= -$1,000. It is entered with a negative sign since it is a cash outflow.
  • Cash flow for all the years should be entered.
  • Press Enter and down arrow after inputting each cash flow.
  • After entering the last cash flow, press the NPV button and enter the weighted average cost of capital of 10%.
  • Press the down arrow and CPT buttons to get the net present value.

The net present value is $25.33.

Internal rate of return is calculated using a financial calculator by inputting the below:

  • Press the CF button.
  • CF0= -$1,000. It is entered with a negative sign since it is a cash outflow.
  • Cash flow for each year should be entered.
  • Press Enter and down arrow after inputting each cash flow.
  • After entering the last cash flow cash flow, press the IRR and CPT button to get the IRR of the project.

The IRR of project is 12.30%.

Project L

Net present value is solved here using a financial calculator. The steps to solve on the financial calculator:

  • Press the CF button.
  • CF0= -$1,000. It is entered with a negative sign since it is a cash outflow.
  • Cash flow for all the years should be entered.
  • Press Enter and down arrow after inputting each cash flow.
  • After entering the last cash flow, press the NPV button and enter the weighted average cost of capital of 10%.
  • Press the down arrow and CPT buttons to get the net present value.

The net present value is $33.14.

Internal rate of return is calculated using a financial calculator by inputting the below:

  • Press the CF button.
  • CF0= -$1,000. It is entered with a negative sign since it is a cash outflow.
  • Cash flow for each year should be entered.
  • Press Enter and down arrow after inputting each cash flow.
  • After entering the last cash flow cash flow, press the IRR and CPT button to get the IRR of the project.

The IRR of project is 11.10%.

Project L is the better project since it has the highest net present value. It has an internal rate of return of 11.10%.

In case of any query, kindly comment on the solution.


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