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Here are the expected cash flows for three projects: a. What is the payback peri

ID: 2788377 • Letter: H

Question

Here are the expected cash flows for three projects:

a. What is the payback period on each of the projects?

b. If you use a cutoff period of 2 years, which projects would you accept?

Project A

Project B

Project C

Project A and Project B

Project B and Project C

Project A and Project C

Projects A, B, and C

None


c. If you use a cutoff period of 3 years, which projects would you accept?

Project A

Project B

Project C

Project A and Project B

Project B and Project C

Project A and Project C

Projects A, B, and C

None


d-1. If the opportunity cost of capital is 11%, calculate the NPV for projects A, B, and C. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.)

d-2. Which projects have positive NPVs?

Project A

Project B

Project C

Project A and Project B

Project B and Project C

Project A and Project C

Projects A, B, and C

None


e. "Payback gives too much weight to cash flows that occur after the cutoff date." True or false?

True

False

Cash Flows (dollars) Project Year: 0 1 2 3 4 A 6,700 + 1,425 + 1,425 + 3,850 0 B 2,700 0 + 2,700 + 2,850 + 3,850 C 6,700 + 1,425 + 1,425 + 3,850 + 5,850

Explanation / Answer

Payback period for the projects are:

Year

Cashflow A

Cumulative cashflow A

0

-6700

-6700

1

1425

-5275

2

1425

-3850

3

3850

0

4

0

0

Cumulative Cashflow at year 3 is zero

Payback period = 3 years

Year

Cashflow B

Cumulative cashflow B

0

-2700

-2700

1

0

-2700

2

2700

0

3

2850

2850

4

3850

6700

Cumulative Cashflow at year 2 is zero

Payback period = 2 years

Year

Cashflow C

Cumulative cashflow C

0

-6700

-6700

1

1425

-5275

2

1425

-3850

3

3850

0

4

5850

5850

Cumulative Cashflow at year 3 is zero

Payback period = 3 years


Answer a.
The payback period for projects are:
Project A = 3 years
Project B = 2 years
Project C = 3 years

Answer b. If cutoff period is 2 years, Project B will be accepted based on calculation in the excel.

Answer c. If cutoff period is 3 years, wwe will accept all the project ie Project A, Project C and Project B also as it is less than 3 years.


Answer d.1.
The NPV calculation for projects at 11% cost of capital are as below:

Year

Cashflow A

0

-6700

1

1425

2

1425

3

3850

4

0

NPV at 11%

-1301.41

Year

Cashflow B

0

-2700

1

0

2

2700

3

2850

4

3850

NPV at 11%

3703.96

Year

Cashflow C

0

-6700

1

1425

2

1425

3

3850

4

5850

NPV at 11%

2170.28


Answer d.2. The projects which have positive NPVs are Project B and Project C as based on the calculation in answer d.1

Answer e. False payback doesnt give too much weight to cashflows that occur after the cutoff date.

Project A Project B Project C

Year

Cashflow A

Cumulative cashflow A

0

-6700

-6700

1

1425

-5275

2

1425

-3850

3

3850

0

4

0

0

Cumulative Cashflow at year 3 is zero

Payback period = 3 years

Year

Cashflow B

Cumulative cashflow B

0

-2700

-2700

1

0

-2700

2

2700

0

3

2850

2850

4

3850

6700

Cumulative Cashflow at year 2 is zero

Payback period = 2 years

Year

Cashflow C

Cumulative cashflow C

0

-6700

-6700

1

1425

-5275

2

1425

-3850

3

3850

0

4

5850

5850

Cumulative Cashflow at year 3 is zero

Payback period = 3 years

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