Question

In: Finance

PROJECT A PROJECT B PROJECT C Copy to Clipboard + Open in Excel + Initial Outlay...

PROJECT A

PROJECT B

PROJECT C

Copy to Clipboard +
Open in Excel +

Initial Outlay

−​$950

−​$11,000

−​$5,500

Inflow year 1

500

     6,000

1,000

Inflow year 2

      200

3,000

1,000

Inflow year 3

300

3,000

4,000

Inflow year 4

100

3,000

4,000

Inflow year 5

400

3,000

4,000

payback period

calculations​)

You are considering three independent​ projects: project​ A, project​ B, and project C. Given the cash flow information in the window

​, calculate the payback period for each. If you require a​ 3-year payback before an investment can be​ accepted, which​ project(s) would be​ accepted?

What is the payback period of project​ A?

nothing

years  ​(Round to two decimal​ places.)If you require a​ 3-year payback before an investment can be​ accepted, you should

reject

accept

project A because its payback period is

less than or equal to

greater than

the maximum acceptable payback period.  ​(Select from the​ drop-down menus.)

What is the payback period of project​ B?

nothing

years  ​(Round to two decimal​ places.)If you require a​ 3-year payback before an investment can be​ accepted, you should

accept

reject

project B because its payback period is

less than or equal to

greater than

the maximum acceptable payback period.  ​(Select from the​ drop-down menus.)

What is the payback period of project​ C?

nothing

years  ​(Round to two decimal​ places.)If you require a​ 3-year payback before an investment can be​ accepted, you should

accept

reject

project C because its payback period is

less than or equal to

greater than

the maximum acceptable payback period.  ​(Select from the​ drop-down menus.)

Solutions

Expert Solution

Payback Period for PROJECT-A

Year

Cash Flows

Cumulative net Cash flow

0

-950

-950

1

500

-450

2

200

-250

3

300

50

4

100

150

5

400

550

Payback Period = Years before full recover + (Unrecovered cash inflow at start of the year/cash flow during the year)

= 2 Year + ($250 / $300)

= 2 Year + 0.83 Years

= 2.83 Years

You should accept PROJECT-A, because it’s payback period is less than the maximum acceptable payback period.

Payback Period for PROJECT-B

Year

Cash Flows

Cumulative net Cash flow

0

-11,000

-11,000

1

6,000

-5,000

2

3,000

-2,000

3

3,000

1,000

4

3,000

4,000

5

3,000

7,000

Payback Period = Years before full recover + (Unrecovered cash inflow at start of the year/cash flow during the year)

= 2 Year + ($2,000 / $3,000)

= 2 Year + 0.67 Years

= 2.67 Years

You should accept PROJECT-B, because it’s payback period is less than the maximum acceptable payback period.

Payback Period for PROJECT-C

Year

Cash Flows

Cumulative net Cash flow

0

-5,500

-5,500

1

1,000

-4,500

2

1,000

-3,500

3

4,000

500

4

4,000

4,500

5

4,000

8,500

Payback Period = Years before full recover + (Unrecovered cash inflow at start of the year/cash flow during the year)

= 2 Year + ($3,500 / $4,000)

= 2 Year + 0.80 Years

= 2.80 Years

You should accept PROJECT-C, because it’s payback period is less than the maximum acceptable payback period.


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