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Yr Sates of Affairs Cash Flow Mcarthys Cash Flow Gotham Cash Flow 0 -$7,500,000

ID: 2717436 • Letter: Y

Question

Yr

Sates of Affairs

Cash Flow

Mcarthys

Cash Flow

Gotham

Cash Flow

0

-$7,500,000

-$5,000,000

-$4,000,000

1

$5,000,000

$1,000,000

$5,750,000

2

$4,500,000

$2,000,000

$5,750,000

3

$3,000,000

$3,000,000

-$1,000,000

4

-$1,000,000

$4,000,000

$0.00

5

$2,500,000

$4,000,000

6

$2,500,000

Required rate of return: 8.00%

Calculate the payback period for each project. If our required payback period is 3 years which projects will we accept?

Calculate the Net Present Value of each project. Which projects should we accept?

Calculate the Internal rate of return for each project. Which projects should be accepted?

Calculate the Modified Internal Rate of Return for each project. Which projects should be accepted?

Calculated the Profitability Index for each project. Which projects should be accepted?

If the company only has$10,000,000 for projects which project(s) should be accepted using the equivalent Annual Annuity? Report the EEA for each project?

Yr

Sates of Affairs

Cash Flow

Mcarthys

Cash Flow

Gotham

Cash Flow

0

-$7,500,000

-$5,000,000

-$4,000,000

1

$5,000,000

$1,000,000

$5,750,000

2

$4,500,000

$2,000,000

$5,750,000

3

$3,000,000

$3,000,000

-$1,000,000

4

-$1,000,000

$4,000,000

$0.00

5

$2,500,000

$4,000,000

6

$2,500,000

Explanation / Answer

State of Affairs = 2+(-2,500,000/4,500,000) = 0.44 years

Mcarthys = 2+(-2,000,000/3,000,000) = 1.33 years

Gotham = 1 year

If our payback period is 3 years then we should accept State of Affairs project as it paying back early on our investments made.

Net Present Value:- Using excel

State of Affairs = $5,911,003.25

Mcarthys = $5,684,552.49

Gotham = $5,459,940.05

State of Affairs project should be accepted

Internal rate of return :-

State of Affairs = 40%

Mcarthys = 36%

Gotham = 107%

Onseeing Gotham Project seems to be more profitable

Modified internal rate of retun

For this I need Finance rate and reinvestment rate

Profitability Index

State of Affairs

Mcarthy

Gotham

Gotham Project should be accepted since PI is hih for this project.

If the company only has$10,000,000 for projects which project(s) should be accepted using the equivalent Annual Annuity? Report the EEA for each project?

C = r*(NPV)/1-(1+R)^-n

Where

C = equivalent Annual Annuity

NPV = Net Present Value

r = rate per period

N = number of periods

State of Affairs

C = 0.08*10,000,000/1-(1.08)^-6

C = $2,163,153.86

Mcarthy

C = 0.08*10,000,000/1-(1.08)^-5

C = $2,504,564.55

Gotham

C = 0.08*10,000,000/1-(1.08)^-4

C = $3,019,208.04

Gotham project should be accepted

State of affairs Cumulative Cashflows Mcarthys Cumulative Cashflows Gotham Cumulative Cashflows         (7,500,000.00)         (7,500,000.00)         (5,000,000.00) (5,000,000.00) (4,000,000.00) (4,000,000.00)            5,000,000.00         (2,500,000.00)          1,000,000.00 (4,000,000.00) 5,750,000.00 1,750,000.00          4,500,000.00         2,000,000.00          2,000,000.00 (2,000,000.00) 5,750,000.00 7,500,000.00          3,000,000.00           5,000,000          3,000,000.00 1,000,000.00 (1,000,000.00) 6,500,000.00         (1,000,000.00)           4,000,000          4,000,000.00 5,000,000.00 0 6,500,000.00          2,500,000.00          6,500,000          4,000,000.00 9,000,000.00          2,500,000.00          9,000,000