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Please help me answer these 10 question. Would really help out if theres show wo

ID: 2637766 • Letter: P

Question

Please help me answer these 10 question. Would really help out if theres show work on it, so I can calculate better.. If not then still good.

Anything is helpful

Question 1

A company is considering two mutually exclusive projects. Both require an initial investment of $10,000 at t = 0. Project X has an expected life of 2 years with after-tax cash inflows of $6,000 and $7,900 at the end of Years 1 and 2, respectively. Project Y has an expected life of 4 years with after-tax cash inflows of $4,300 at the end of each of the next 4 years. Each project has a cost of capital 8%.

Use the replacement chain approach to determine the NPV of the most profitable project.

A.

4324.87

B.

3852.45

C.

5120.75

D.

4242.14

   Question 2

A company is considering two mutually exclusive projects. Both require an initial investment of $10,000 at t = 0. Project X has an expected life of 2 years with after-tax cash inflows of $6,000 and $7,900 at the end of Years 1 and 2, respectively. Project Y has an expected life of 4 years with after-tax cash inflows of $4,300 at the end of each of the next 4 years. Each project has a cost of capital 8%.

Find the EAA for project X.

A.

1458.25

B.

1125.36

C.

1047.28

D.

1305.76

Question 3

A company is considering two mutually exclusive projects. Both require an initial investment of $10,000 at t = 0. Project X has an expected life of 2 years with after-tax cash inflows of $6,000 and $7,900 at the end of Years 1 and 2, respectively. Project Y has an expected life of 4 years with after-tax cash inflows of $4,300 at the end of each of the next 4 years. Each project has a cost of capital 8%.

Find the EAA for project Y.

A.

1158.36

B.

1089.65

C.

1478.24

D.

1280.79

Question 4

Suppose you have a project with the following cash flows and 10% required return.

0

-5000

1

2000

2

2500

3

-500

4

3000

5

3000

What is the NPV of this project?

A.

2836.45

B.

1687.52

C.

2420.44

D.

1847.36

Question 5

Suppose you have a project with the following cash flows and 10% required return.

0

-5000

1

2000

2

2500

3

-500

4

3000

5

3000

What is the IRR of this project?

A.

18.63%

B.

26.44%

C.

21.36%

D.

22.85%

Question 6

Suppose you have a project with the following cash flows and 10% required return.

0

-5000

1

2000

2

2500

3

-500

4

3000

5

3000

What is the PI of this project?

A.

1.48

B.

1.58

C.

1.38

D.

1.28

Question 7

Suppose you have a project with the following cash flows and 10% required return.

0

-5000

1

2000

2

2500

3

-500

4

3000

5

3000

What is the MIRR of this project?

A.

22.65%

B.

29.54%

C.

18.49%

D.

15.87%

Question 8

Suppose you have a project with the following cash flows and 10% required return.

0

-5000

1

2000

2

2500

3

-500

4

3000

5

3000

What is the payback of this project?

A.

3.33 years

B.

4 years

C.

2.53 years

D.

2.89 years

Question 9

Suppose you have a project with the following cash flows and 10% required return.

0

-5000

1

2000

2

2500

3

-500

4

3000

5

3000

What is the discounted payback of this project?

A.

3.73 years

B.

4.79 years

C.

3.33 years

D.

4.18 years

Question 10

Suppose you have the following 2 projects with the following cash flows and 10% required return.

0

-4000

-6000

1

1500

2000

2

2000

3000

3

2000

1500

4

1500

2000

5

1500

6

1500

What is the EAA of the best project?

A.

-714.36

B.

589.77

C.

486.98

D.

652.36

Top of Form

Bottom of Form

A.

4324.87

B.

3852.45

C.

5120.75

D.

4242.14

Explanation / Answer

Answer for Question 1:

Cash outflow of Project X is discouted with the discount factor at the end of 2nd year as it is invested at the start of the 3rd year. This is because replacement chain approach is used.

Project X has a better NPV than Project Y. So, Answer is option A.

Answer for Question 2:

EAA of project of Project X:

Formula for EAA = r*(npv)/1-(1+r)^-n

NPV = $2,328.53 (Calculated already for question A)

r =.08

n=2.

substituting the values in the formula EAA of project X = $1,305.77. Answer is option D.

Answer for Question 3:

EAA of project Y:

r =.08

NPV = 4242.15 (Calculated already for question A)

n= 4

Substituting the values in formula EAA of project Y = $1, 280.79.

Answer is option D.

Answer for Question 4:

$2,420.44

Answer is Option C.

Answer for Question 5:

IRR is the rate at which NPV is equal to 0. Calculating NPV using trial and error method at 26% and 27%.

NPV at 26% is:

NPV at 27%

Interpolating between 26% and 27% IRR = 26%+46.95/(46.95+58.05) =26%+.447 =26.447%

Hence answer is Option B.

Answer for Qustion 7:

Profitability index = PV of cash inflows/PV of cash out flows.

= 7796.10/5375.66 = 1.45 .

Answer is Option A. It must be a typo error as the computation here is resulting as 1.45 and nearest answer given in the options is A. Hence answer is A.

Answer for Question 7:

MIRR cannot be calculated as reinvestment rate is not provided.

Answer for Question 8:

Payback period is the time taken to recover the investment.

Accumulated cash flows till year Year 3 = $4,000

Cash flow required to meet project investment = $5,000

Cash flows received during year 4 = $3,000

Required cash flow to meet $ 5, 000 = $5, 000- $4,000 = $1,000

No of months required to generate $1000 = (12/3000)*1000 = 4 months.

Hence payback period = 3.4 years.

Answer for Question 9:

Discounted payback period for this project is 3+(12/$2049.04/)* ($5,000-$3,508.64) = 3Years + 8.73 months = 3.87 months.

Answer for Question 10:

EAA of project 1 = r*(npv)/1-(1+r)^-n= .1($5,195.65)/1-(1+.1)^6=1638.82

EAA of project 2 =.1*( 4030.37)/.4355 = 925.45

Particulars Cash outflows at the beginning of the year Project X Cash outflows at the beginning of the year Project Y Project X Project Y Present value factor @ 8% Discounted cashflows of Project X Discounted cashflows of Project Y $10,000.00 $10,000.00 1 Cash inflows: 1 $6,000.00 $4,300.00 0.9259 $5,555.56 $3,981.48 2 $7,900.00 $4,300.00 0.8573 $6,772.98 $3,686.56 3 $8,573.39 $6,000.00 $4,300.00 0.7938 $4,762.99 $3,413.48 4 $7,900.00 $4,300.00 0.7350 $5,806.74 $3,160.63 NPV $4,324.87 $4,242.15
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