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Problem 24-1A (part level submission) Henkel Company is considering three long-t

ID: 2491117 • Letter: P

Question

Problem 24-1A (part level submission)

Henkel Company is considering three long-term capital investment proposals. Each investment has a useful life of 5 years. Relevant data on each project are as follows.

Project Kilo

Project Lima

Project Oscar

Capital investment

$162,750

$173,250

$212,550

Annual net income:

    Year

1

13,650

18,375

28,875

2

13,650

17,325

23,625

3

13,650

16,275

22,575

4

13,650

12,075

14,175

5

13,650

8,925

13,125

Total

$68,250

$72,975

$102,375



Depreciation is computed by the straight-line method with no salvage value. The company’s cost of capital is 15%. (Assume that cash flows occur evenly throughout the year.)

Compute the annual rate of return for each project. (Hint: Use average annual net income in your computation.) (Round answers to 2 decimal places, e.g. 10.50.)

Project Kilo

Project Lima

Project Oscar

Annual rate of return

%

%

%

Problem 24-1A (part level submission)

Henkel Company is considering three long-term capital investment proposals. Each investment has a useful life of 5 years. Relevant data on each project are as follows.

Project Kilo

Project Lima

Project Oscar

Capital investment

$162,750

$173,250

$212,550

Annual net income:

    Year

1

13,650

18,375

28,875

2

13,650

17,325

23,625

3

13,650

16,275

22,575

4

13,650

12,075

14,175

5

13,650

8,925

13,125

Total

$68,250

$72,975

$102,375



Depreciation is computed by the straight-line method with no salvage value. The company’s cost of capital is 15%. (Assume that cash flows occur evenly throughout the year.)

Compute the annual rate of return for each project. (Hint: Use average annual net income in your computation.) (Round answers to 2 decimal places, e.g. 10.50.)

Project Kilo

Project Lima

Project Oscar

Annual rate of return

%

%

%

Please show how answer is achieved

Explanation / Answer

Answer

Internal rate of return (IRR) is a discount rate that makes the net present value (NPV) of all cash flows from a particular project equal to zero.

We have to find IRR by trial and error method by assuming different discount rates.

Project Kilo

Suppose discount rate is 12.936%

Year

Net income

Depreciation

Capital investment

Cashflow

Disc Rate : 12.936%

Present value

A

B

C

D

E

A+B+C

D*E

0

-162750

-162750

1.00

-162750.00

1

13650

32550

46200

0.89

40908.12

2

13650

32550

46200

0.78

36222.40

3

13650

32550

46200

0.69

32073.38

4

13650

32550

46200

0.61

28399.61

5

13650

32550

46200

0.54

25146.64

Net present value

0

Internal rate of return (IRR)

12.936%

Project Lima

Suppose discount rate is 13.4836%

Year

Net income

Depreciation

Capital investment

Cashflow

Disc Rate : 13.4836%

Present value

A

B

C

D

E

A+B+C

D*E

0

-173250

-173250

1

-173250.00

1

18375

34650

53025

0.8811846

46724.81

2

17325

34650

51975

0.7764863

40357.87

3

16275

34650

50925

0.6842278

34844.30

4

12075

34650

46725

0.602931

28171.95

5

8925

34650

43575

0.5312935

23151.11

Net present value

0.0

Internal rate of return (IRR)

13.4836%

Project Oscar

Suppose discount rate is 15.4981%

Year

Net income

Depreciation

Capital investment

Cash flow

Disc Rate : 15.4981%

Present value

A

B

C

D

E

A+B+C

D*E

0

-212550

-212550

1

-212550.00

1

28875

42510

71385

0.8658151

61806.21

2

23625

42510

66135

0.7496358

49577.16

3

22575

42510

65085

0.649046

42243.16

4

14175

42510

56685

0.5619538

31854.35

5

13125

42510

55635

0.4865481

27069.10

Net present value

0.0

Internal rate of return (IRR)

15.4981%

Year

Net income

Depreciation

Capital investment

Cashflow

Disc Rate : 12.936%

Present value

A

B

C

D

E

A+B+C

D*E

0

-162750

-162750

1.00

-162750.00

1

13650

32550

46200

0.89

40908.12

2

13650

32550

46200

0.78

36222.40

3

13650

32550

46200

0.69

32073.38

4

13650

32550

46200

0.61

28399.61

5

13650

32550

46200

0.54

25146.64

Net present value

0

Internal rate of return (IRR)

12.936%

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