Question

In: Finance

Suppose your firm is considering investing in a project with the cash flows shown below, that...

Suppose your firm is considering investing in a project with the cash flows shown below, that the required rate of return on projects of this risk class is 11 percent, and that the maximum allowable payback and discounted payback statistics for your company are 3.0 and 3.5 years, respectively

  Time: 0 1 2 3 4 5
  Cash flow –$241,000 $66,400 $84,600 $141,600 $122,600 $81,800

Use the payback decision rule to evaluate this project. (Round your answer to 2 decimal places.)

  Payback years

Should the project be accepted or rejected?

Accepted
Rejected

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Suppose your firm is considering investing in a project with the cash flows shown below, that the required rate of return on projects of this risk class is 11 percent, and that the maximum allowable payback and discounted payback statistics for your company are 2.5 and 3.0 years, respectively.

  Time: 0 1 2 3 4 5
  Cash flow –$231,000 $65,400 $83,600 $140,600 $121,600 $80,800

Use the discounted payback decision rule to evaluate this project. (Do not round intermediate calculations. Round your final answer to 2 decimal places

  Discounted payback years

Should it be accepted or rejected?

Rejected
Accepted

Solutions

Expert Solution

Payback period is the time period in which the initial investment is recovered

Time

Cash Flow

Cumulative Cash Flow

0

-241,000

-241,000

1

66,400

-174,600

2

84,600

-90,000

3

141,600

51,600

4

122,600

174,200

5

81,800

256,000

Payback period = 2 + 90,000/141,600

= 2.64 years

Since it is less than acceptable payback period of 3 years, the project should be

ACCEPTED

Time

Cash Flow

PVF

Discounted Cash Flow

Cumulative Discounted Cash Flow

0

-231,000

1

-231,000

-231,000

1

65,400

0.901

58,925.4

-172,074.6

2

83,600

0.812

67,883.2

-104,191.4

3

140,600

0.731

102,778.6

-1,412.8

4

121,600

0.659

80,134.4

78,721.6

5

80,800

0.593

47,914.4

126,636

Discounted payback period = 3 + 1,412.8/80,134.4

= 3.02 years

Since it is more than acceptable discounted payback period of 3.5 years. The project should be

REJECTED


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