Question

In: Finance

9. Suppose your firm is considering two mutually exclusive, required projects with the cash flows shown...

9. Suppose your firm is considering two mutually exclusive, required projects with the cash flows shown below. The required rate of return on projects of both of their risk class is 8 percent, and that the maximum allowable payback and discounted payback statistic for the projects are 2 and 3 years, respectively.

  Time: 0 1 2 3
  Project A Cash Flow -25,000 15,000 35,000 6,000
  Project B Cash Flow -35,000 15,000 25,000 55,000


Use the NPV decision rule to evaluate these projects; which one(s) should it be accepted or rejected?

  • reject A, accept B

  • accept both A and B

  • accept A, reject B

  • accept neither A nor B

Solutions

Expert Solution

Project A

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

  • Press the CF button.
  • CF0= -$25,000. Indicate the initial cash flow by 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 NPV button and enter the required rate of return of 8%.
  • Press enter after that. Press the down arrow and CPT buttons to get the net present value.  

Net present value at 8% required rate of return is $23,658.74.

Project B

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

  • Press the CF button.
  • CF0= -$35,000. Indicate the initial cash flow by 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 NPV button and enter the required rate of return of 8%.
  • Press enter after that. Press the down arrow and CPT buttons to get the net present value.  

Net present value at 8% required rate of return is $43,983.13.

Using the NPV decision rule, Project B should be selected since it generates the largest net present value.

Hence, the answer is option a.

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


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