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Question 5 Given the following cash flows, for the two independent projects A and B, calculate...

Question 5

  1. Given the following cash flows, for the two independent projects A and B, calculate
    1. Payback Period                                                               
    2. Accounting rate of return                                               
    3. Net Present Value                                                         
    4. Profitability index                                                          

And recommend acceptance or rejection of projects considering individual techniques of capital budgeting. A rate of 10 % has been selected for the NPV analysis.

Project A

Project B

Initial outlay

$50,000

$100,000

Cash inflows

Year 1

$10,000

$ 25,000

Year 2

15,000

25,000

Year 3

20,000

25,000

Year 4

25,000

25,000

Year 5

30,000

25,000

                                                                     

  1. Explain the distinctive features of capital budgeting decisions.                                                                                                       

Solutions

Expert Solution

Present Value (PV) of Cash Flow:
(Cash Flow)/((1+i)^N)
i=Discount Rate=10%=0.1
N=Year of Cash Flow
ANALYSIS OF PROJECT A
N Year 0 1 2 3 4 5 SUM
CF Cash Flow ($50,000) $10,000 $15,000 $20,000 $25,000 $30,000 $50,000
PV=CF/(1.1^N) Present Value of cash Flow ($50,000) $9,091 $12,397 $15,026 $17,075 $18,628 $22,217
Cumulative Cash Flow ($50,000) -$40,000 -$25,000 -$5,000 $20,000 $50,000
NPV=Sumof PV Net Present Value(NPV) $22,217
Payback Period(3+(5000/25000)             3.20 YEARS (Period in which Cumulative cash flow=NIL)
Accounting Rate of Return= Average Return/Investment
TotalReturn =(50000+50000) $100,000
Average Return per year=100000/5 $20,000
Accounting Rate of Return= 20000/50000             0.40
Accounting Rate of Return= (Percentage) 40%
Profitability Index =(NPV+Initial Investment)/InitialInvestment
Profitability Index =(22217+50000)/50000             1.44
ANALYSIS OF PROJECT B
N Year 0 1 2 3 4 5 SUM
CF Cash Flow ($100,000) $25,000 $25,000 $25,000 $25,000 $25,000 $25,000
PV=CF/(1.1^N) Present Value of cash Flow ($100,000) $22,727 $20,661 $18,783 $17,075 $15,523 ($5,230)
Cumulative Cash Flow ($100,000) -$75,000 -$50,000 -$25,000 $0 $25,000
NPV=Sumof PV Net Present Value(NPV) ($5,230)
Payback Period             4.00 YEARS (Period in which Cumulative cash flow=NIL)
Accounting Rate of Return= Average Return/Investment
TotalReturn =(25000+100000) $125,000
Average Return per year=100000/5 $25,000
Accounting Rate of Return= 25000/100000             0.25
Accounting Rate of Return= (Percentage) 25%
Profitability Index =(NPV+Initial Investment)/InitialInvestment
Profitability Index =(-5230+100000)/100000             0.95
CAPITAL BUDGETING DECISION:
Determine the appropriate discount rate based on cost of capital and risk factor
Find the initial cash flow considering investment in plant & machinery, working capital etc
Determine annual operating cash flow taking into account depreciation, taxes, effect of the project on other income and expenses
Determine TerminalCash Flow considering release of working capital,Salavage of equipment etc
In mutually exclusive projects normally NPV determines which project should be accepted
Other Evaluation criterian are used to initially short list the projects
These criterian may be IRR, Payback period, etc

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