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Show work and explain please for lifesaver... Calculate the payback and profitab

ID: 2647394 • Letter: S

Question

Show work and explain please for lifesaver...

Calculate the payback and profitability index. The maximum payback period is 2 years and the cost of capital is 12%.

Project

Time 0

1

2

3

Fun Time

-1000

950

400

-225

Clock Works

-500

550

0

0

Bug Hugs

-1100

500

500

500

A: If the projects are independent, which one(s) do you select? Why?

B: If they are mutually exclusive, which one would you prefer? Why?

Project

Time 0

1

2

3

Fun Time

-1000

950

400

-225

Clock Works

-500

550

0

0

Bug Hugs

-1100

500

500

500

Explanation / Answer

1) Payback period for fun time = 1 + 50 / 450 = 1.11 years

Payback period for clock works = 500 / 550 = 0.91 year

Payback period for Bug hugs = 2 + 100 / 500 = 2.2 years

2) PI for fun time = (950/1.12 + 400/1.12^2 - 225/1.12^3) / 1000 = 1.01

PI for clock works = 550/1.12 / 500 = 0.98

PI for Bug hugs = (500/1.12 + 500/1.12^2 + 500/1.12^3) / 1100 = 1.09

A) Project fun time will be selected as it has PI > 1 and also meet the criteria of payback period. However project Bug hugs will also be beneficial to accept as it also has PI > 1.

B) Project fun time will be selected as it has PI > 1 and also meet the company's criteria of payback period.

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