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Bellinger Industries is considering two projects for inclusion in its capital bu

ID: 2719487 • Letter: B

Question

Bellinger Industries is considering two projects for inclusion in its capital budget, and you have been asked to do the analysis. Both projects' after-tax cash flows are shown on the time line below. Depreciation, salvage values, net operating working capital requirements, and tax effects are all included in these cash flows. Both projects have 4-year lives, and they have risk characteristics similar to the firm's average project. Bellinger's WACC is 8%.

What is Project A's payback? Round your answer to four decimal places. Do not round your intermediate calculations.

years

What is Project A's discounted payback? Round your answer to four decimal places. Do not round your intermediate calculations.

years

What is Project B's payback? Round your answer to four decimal places. Do not round your intermediate calculations.

years

What is Project B's discounted payback? Round your answer to four decimal places. Do not round your intermediate calculations.

years

0 1 2 3 4 Project A -1,000 700 425 240 290 Project B -1,000 300 360 390 740

Explanation / Answer

Payback period project A

To compute payback period, we need to prepare a cumulative cash flow table:

year

CF

CCF

0

-1000

-1000

1

700

-300

2

425

125

3

240

365

4

290

655

Payback period = Last year of neg CCF + CF required in next year/ CF in the next year

                                = 1 + 300/425

                                = 1.71 years

Discounted Payback period project A

year

CF

PV Factor 8%

PV

CPV

0

-1000

1

-1000.00

-1000.00

1

700

0.925925926

648.15

-351.85

2

425

0.85733882

364.37

12.52

3

240

0.793832241

190.52

203.04

4

290

0.735029853

213.16

416.20

Discounted Payback period = Last year of neg CPV + PV required in next year/ PV in the next year

                                = 1 + 351.85/364.37

                                = 1.97 years

Payback period project B

year

CF

CCF

0

-1000

-1000

1

300

-700

2

360

-340

3

390

50

4

740

790

Payback period = Last year of neg CCF + CF required in next year/ CF in the next year

                                = 2 + 340/390

                                = 2.87 years

Discounted Payback period project B

year

CF

PV Factor 8%

PV

CPV

0

-1000

1

-1000.00

-1000.00

1

300

0.925925926

277.78

-722.22

2

360

0.85733882

308.64

-413.58

3

390

0.793832241

309.59

-103.99

4

740

0.735029853

543.92

439.94

Discounted Payback period = Last year of neg CPV + PV required in next year/ PV in the next year

                                = 3 + 103.99/543.92

                                = 3.19 years

year

CF

CCF

0

-1000

-1000

1

700

-300

2

425

125

3

240

365

4

290

655

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