Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Charlie Company is attempting to evaluate the feasibility of investing $95,000 i

ID: 2699318 • Letter: C

Question

Charlie Company is attempting to evaluate the feasibility of investing $95,000 in a piece of equipment that has a 5-year life. The firm has estimated the cash inflows associated with the proposal as shown below. Assume the firm has a 12% cost of capital.

                                             Year                      Cash inflows

                                                1                            $20,000

                                                2                              25,000

                                                3                              30,000

                                                4                              35,000

                                                5                              40,000

           a.   Calculate the payback period for the proposed investment.

b.     Calculate the NPV for the proposed investment.

Explanation / Answer

a)

payback period =

amount paid till year 3 = 75,000

amount left is 95000 - 75000 = 20,000

Hence payback period is 3 + 20000/35000 = 3.57 years


b)

NPV is -95000 + 20000/1.12 + 25000/1.12^2 + 30000/1.12^3 + 35000/1.12^4 + 40000/1.12^5 = $9,080.60