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Pedro Spier, the president of Spier Enterprises, is considering two investment o

ID: 2474529 • Letter: P

Question

Pedro Spier, the president of Spier Enterprises, is considering two investment opportunities. Because of limited resources, he will be able to invest in only one of them. Project A is to purchase a machine that will enable factory automation; the machine is expected to have a useful life of four years and no salvage value. Project B supports a training program that will improve the skills of employees operating the current equipment. Initial cash expenditures for Project A are $108,000 and for Project B are $44,000. The annual expected cash inflows are $41,719 for Project A and $15,101 for Project B. Both investments are expected to provide cash flow benefits for the next four years. Spier Enterprises’ cost of capital is 8 percent. (PV of $1 and PVA of $1) (Use appropriate factor(s) from the tables provided.)

           

Compute the approximate internal rate of return of each project.

           

Pedro Spier, the president of Spier Enterprises, is considering two investment opportunities. Because of limited resources, he will be able to invest in only one of them. Project A is to purchase a machine that will enable factory automation; the machine is expected to have a useful life of four years and no salvage value. Project B supports a training program that will improve the skills of employees operating the current equipment. Initial cash expenditures for Project A are $108,000 and for Project B are $44,000. The annual expected cash inflows are $41,719 for Project A and $15,101 for Project B. Both investments are expected to provide cash flow benefits for the next four years. Spier Enterprises’ cost of capital is 8 percent. (PV of $1 and PVA of $1) (Use appropriate factor(s) from the tables provided.)

Explanation / Answer

Project A

Year

CashFlow

PV Factor@ 8%

PV

0

          (108,000)

1.0000

                      (108,000)

1

               41,719

0.9259

                          38,629

2

               41,719

0.8573

                          35,767

3

               41,719

0.7938

                          33,118

4

               41,719

0.7350

                          30,665

IRR

20.00%

NPV

                          30,179

Project B

Year

CashFlow

PV Factor@ 8%

PV

0

             (44,000)

1.0000

                        (44,000)

1

               15,101

0.9259

                          13,982

2

               15,101

0.8573

                          12,947

3

               15,101

0.7938

                          11,988

4

               15,101

0.7350

                          11,100

IRR

14.00%

NPV

                             6,016

a-1) Compute the net present value of each project

NPV:

Project A=$30,179

Project B=$6,016

a-2) Which project should be adopted based on the net present value approach?

As Project NPV is higher select Project A

b-1) Compute the approximate internal rate of return of each project

IRR:

Project A=20%

Project B=14%

As Project IRR is higher select Project A

Project A

Year

CashFlow

PV Factor@ 8%

PV

0

          (108,000)

1.0000

                      (108,000)

1

               41,719

0.9259

                          38,629

2

               41,719

0.8573

                          35,767

3

               41,719

0.7938

                          33,118

4

               41,719

0.7350

                          30,665

IRR

20.00%

NPV

                          30,179

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