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Henkel Company is considering three long-term capital investment proposals. Each

ID: 2486645 • Letter: H

Question

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.

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 net present value for each project. (Round computations and final answer for present value to 0 decimal places, e.g. 125. Round computations for Discount Factor to 5 decimal places. If the net present value is negative, use either a negative sign preceding the number eg -45 or parentheses eg (45).)

Kilo $

Lima $

Oscar $

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

Kilo %

Lima %

Oscar %

Project Kilo $162,750 Project Lima Project Oscar $214,500 Capital investment Annual net income: $173,250 Year 1 2 3 4 13,650 13,650 13,650 13,650 13,650 $68,250 18,375 17,325 16,275 12,075 8,925 $72,975 28,875 23,625 22,575 14,175 13,125 $102,375 Total

Explanation / Answer

As we know Net annual income we need to add depreciation for net inflow

Let us find out depreciation of each project

Dep p.a =Cost of asset- Salvage Value/ Life of Asset

Kilo:

             = 162,750-0/5=32,250

Lima:

          = 173,250-0/5=$34,650

Oscar:

          =214,500-0/5=42,900

Now let us add Depreciation to Net cashflow to get Annual Cashflow

Kilo

Year

Net CashFlow

Deprecation

Annual Cashflow

                                         1

               13,650

                     32,550

                          46,200

                                         2

               13,650

                     32,550

                          46,200

                                         3

               13,650

                     32,550

                          46,200

                                         4

               13,650

                     32,550

                          46,200

                                         5

               13,650

                     32,550

                          46,200

Lima

Year

Net CashFlow

Deprecation

Annual Cashflow

                                         1

               18,375

                     34,650

                          53,025

                                         2

               17,325

                     34,650

                          51,975

                                         3

               16,275

                     34,650

                          50,925

                                         4

               12,075

                     34,650

                          46,725

                                         5

                 8,925

                     34,650

                          43,575

oscar

Year

Net CashFlow

Deprecation

Annual Cashflow

                                         1

               28,875

                     42,900

                          71,775

                                         2

               23,625

                     42,900

                          66,525

                                         3

               22,575

                     42,900

                          65,475

                                         4

               14,175

                    42,900

                          57,075

                                         5

               13,125

                     42,900

                          56,025

Kilo

Year

CashFlow

Cum Cash Flow

                                        -  

          (162,750)

                 (162,750)

                                         1

               46,200

                 (116,550)

                                         2

               46,200

                   (70,350)

                                         3

               46,200

                   (24,150)

                                         4

               46,200

                     22,050

                                         5

               46,200

                     68,250

Payback Period = 3+ 24,150/46,200

                     = 3 +0.52

                       =3.52 years

Lima

Year

CashFlow

Cum Cash Flow

                                        -  

          (173,250)

                 (173,250)

                                         1

               53,025

                 (120,225)

                                         2

               51,975

                   (68,250)

                                         3

               50,925

                   (17,325)

                                         4

               46,725

                     29,400

                                         5

               43,575

                     72,975

Payback Period = 3+ 17,325/46,725

                     = 3 +0.37

                       =3.37years

Oscar

Year

CashFlow

Cum Cash Flow

                                        -  

          (214,500)

                 (214,500)

                                         1

               71,775

                 (142,725)

                                         2

               66,525

                   (76,200)

                                         3

               65,475

                   (10,725)

                                         4

               57,075

                     46,350

                                         5

               56,025

                   102,375

Payback Period = 3+ 10,725/57,075

                     = 3 +0.19

                       =3.19years

b)

Kilo

Year

CashFlow

PV Factor@ 15%

PV

                                                   -  

                          (162,750)

1.0000

          (162,750.0)

                                                    1

                               46,200

0.8696

               40,173.9

                                                    2

                               46,200

0.7561

               34,933.8

                                                    3

                               46,200

0.6575

               30,377.2

                                                    4

                               46,200

0.5718

               26,415.0

                                                    5

                               46,200

0.4972

               22,969.6

NPV

               (7,880.4)

Lima

Year

CashFlow

PV Factor@ 15%

PV

                                                   -  

                          (173,250)

1.0000

          (173,250.0)

                                                    1

                               53,025

0.8696

               46,108.7

                                                    2

                               51,975

0.7561

               39,300.6

                                                    3

                               50,925

0.6575

               33,484.0

                                                    4

                             46,725

0.5718

               26,715.2

                                                    5

                               43,575

0.4972

               21,664.5

NPV

               (5,977.1)

Oscar

Year

CashFlow

PV Factor@ 15%

PV

                                                   -  

                          (214,500)

1.0000

          (214,500.0)

                                                    1

                               71,775

0.8696

               62,413.0

                                                    2

                               66,525

0.7561

               50,302.5

                                                    3

                               65,475

0.6575

               43,050.9

                                                    4

                               57,075

0.5718

               32,632.8

                                                    5

                               56,025

0.4972

               27,854.3

NPV

                 1,753.5

c) Annual return:

         

          Kilo   :

          Average return=68,250/5=13,650

          Average investment= $162,750+ 0/2=81,375

          Annual Return= Average Return/ Average Investment= 13,650/81,375=16.77%

          Lima:

Average return=$72,975/5=$14,595

          Average investment= $173,250+ 0/2=$86,625

          Annual Return= Average Return/ Average Investment= 14,595/86,625=16.85%

          Oscar:

Average return=$102,375/5=$20,475

          Average investment= $214,500+ 0/2=$107,250

          Annual Return= Average Return/ Average Investment

                                =20,475/107,250=19.09%

Kilo

Year

Net CashFlow

Deprecation

Annual Cashflow

                                         1

               13,650

                     32,550

                          46,200

                                         2

               13,650

                     32,550

                          46,200

                                         3

               13,650

                     32,550

                          46,200

                                         4

               13,650

                     32,550

                          46,200

                                         5

               13,650

                     32,550

                          46,200

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