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Calculate the normal payback period (NPP) for each equipment.

Category: Accounting & Finance Paper Type: Online Exam | Quiz | Test Reference: N/A Words: 690

Year

After tax cash flow

Cumulative cash flow

0

(140000)

(140000)

1

42000

(98000)

2

58000

(40000)

3

80000

40000

 

 Payback period = 2+40000/80000= 2.5 years

For polishing machine:

Year

After tax cash flow

Cumulative cash flow

0

(75000)

(75000)

1

25000

(50000)

2

50000

0

3

40000

40000

 

 Payback period = 1+50000/50000 = 1 year

1.      Calculate the Discounted payback period (DPP) for each equipment.

Solution:

For vacuum cleaner:

year

Present value factor (10%)

Cash flow

Present value of cash flow

Cumulative present value of cash flow

0

1

(140000)

(140000)

(140000)

1

0.909

42000

38178

(101822)

2

0.826

58000

47908

(53914)

3

0.751

80000

60080

6166

 Discounted payback period = 2+53914/60080 = 2+0.89 = 2.89 years or almost 3 years

For polishing machine:

year

Present value factor (10%)

Cash flow

Present value of cash flow

Cumulative present value of cash flow

0

1

(75000)

(75000)

(75000)

1

0.909

25000

22725

(52275)

2

0.826

50000

41300

(10975)

3

0.751

40000

30040

19065

 Discounted payback period = 2+10975/30040 =2+ 0.36 =2.36 years

2.      What is each equipment net present value (NPV).

Solution:

For vacuum cleaner:

Year

Cash flow

Present value factor (10%)

present value of Cash flow

0

-140000

1

-140000

1

42000

0.909

38178

2

58000

0.826

47908

3

80000

0.751

60080

interest rate

 

10%

 

NPV

 

($18,691.22)

 

 

For polisher machine:

Year

Cash flow

Present value factor (10%)

present value of Cash flow

0

-75000

1

-75000

1

25000

0.909

22725

2

50000

0.826

41300

3

4000

0.751

30040

interest rate

 

10%

 

NPV

 

$2,146.20

 


3.     
What is each equipment’s internal rate of return (IRR)?

Solution:

For vacuum cleaner:

Year

Cash flow

Present value factor (10%)

present value of Cash flow

0

-140000

1

-140000

1

42000

0.909

38178

2

58000

0.826

47908

3

80000

0.751

60080

interest rate

 

10%

 

NPV

 

($18,691.22)

 

IRR

2%

 

 

 

For polisher machines:

Year

Cash flow

Present value factor (10%)

present value of Cash flow

0

-75000

1

-75000

1

25000

0.909

22725

2

50000

0.826

41300

3

40000

0.751

30040

interest rate

 

10%

 

NPV

 

$2,146.20

 

IRR

12%

 

 

 

4.      Are these projects independent or mutually exclusive?

Ans

         Mutually exclusive project means that company has to select any one project for the investment according to different criteria. This decision can be taken by the management. But company as enough capital to invest in both projects so in this regard we consider that both projects are independent and company is going to invest in both project at the same time due to sufficient capital.

5.      Indicate the correct accept –reject decision for each criterion. Show how you analyze through each criterion.

Ans.

         for both project companies is using different criteria to determine which project is more profitable and which is not. Here we are using four different methods like normal payback period, discounted payback period, net present value and internal rate of return. If the project acceptance –rejection depend on these criteria then results will be given as under:

Project

Normal payback period

Discounted payback period

Net present value

Internal rate of return

Vacuum cleaner

2.5 years

rejected

3 years

rejected

-18691

rejected

2%

rejected

Polisher machine

1 year

Accepted

2.3year

accepted

2146

accepted

12%

accepted


6.     
Does any conflict arise between NPV and IRR, if the cost of capital is 5%? If yes which criteria and which project would you suggest?

Ans.

        If the cost of capital moves to 5% then the result of NPV and IRR are almost same for both the projects. And no any conflict arises because the IRR still remain the same. Normally if the selection of project happens then the NPV criteria are sounds valid and also used in many places. So if the NPV of the project is positive then the project will be accepted otherwise if company don’t want to accept the other project who is having negative NPV then in that company no need to invest their capital.

 

 

 

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