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Blue Hamster Manufacturing Inc. is a small firm, and several of its managers are

ID: 2770241 • Letter: B

Question

Blue Hamster Manufacturing Inc. is a small firm, and several of its managers are worried about how soon the firm will be able to recover its initial investment from Project Sigma's expected future cash flows. To answer this question, Blue Hamster's CFO has asked that you compute the project's payback period using the following expected net cash flows and assuming that the cash flows are received evenly throughout each year. Complete the following table and compute the project's conventional payback period. For full credit, complete the entire table. The conventional payback period ignores the time value of money, and this concerns Blue Hamster's CFO. He has now asked you to compute Sigma's discounted payback period, assuming the company has a 8% cost of capital. Complete the following table and perform any necessary calculations. Round the discounted cash flow values to the nearest whole dollar, and the discounted payback period to the nearest two decimal places. For full credit, complete the entire table.

Explanation / Answer

Year

0

                                1

                                     2

                                                    3

CashFlow

       (5,000,000)

               2,000,000

                    4,250,000

                                   1,750,000

Cum Cash Flow

       (5,000,000)

             (3,000,000)

                    1,250,000

                                   3,000,000

Conventional Payback period= 1+3,000,000/4,250,000

                                                         =1+0.70

                                                     =1.70 years

Year

0

1

2

3

Cash Flow

       (5,000,000)

               2,000,000

                    4,250,000

                                   1,750,000

PV Factor @ 8%

               1.0000

                     0.9259

                          0.8573

                                         0.7938

PV cash flow

       (5,000,000)

               1,851,852

                    3,643,690

                                   1,389,206

Discounted cum Cash flow

       (5,000,000)

             (3,148,148)

                        495,542

                                   1,884,748

Discounting Payback period= 1+3,148,148/3,643,690

                                                      = 1+0.86        

                                                     =1.86 years

Year

0

                                1

                                     2

                                                    3

CashFlow

       (5,000,000)

               2,000,000

                    4,250,000

                                   1,750,000

Cum Cash Flow

       (5,000,000)

             (3,000,000)

                    1,250,000

                                   3,000,000

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