Question 5
a. Given the following cash flows, for the two
independent projects A and B, calculate
i. Payback Period
ii. Accounting rate of return
iii. Net Present Value
iv. 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
b. Explain the distinctive features of capital
budgeting decisions.
as per HomeworkLib policy please find below answer of 1st question (which has 4 sub part) for another q raise new request.
Cumulative cash flow | ||||||||
year | Project A | Project B | Project A | Project B | ||||
0 | -50000 | -100000 | -50000 | -100000 | ||||
1 | 10000 | 25000 | -40000 | -75000 | ||||
2 | 15000 | 25000 | -25000 | -50000 | ||||
3 | 20000 | 25000 | -5000 | -25000 | ||||
4 | 25000 | 25000 | 20000 | 0 | ||||
5 | 30000 | 25000 | 50000 | 25000 | ||||
i. Payback Period | ||||||||
Project A = | =2+5000/25000 | 2.2 | year | |||||
Project B = | 4 | year | ||||||
ii. Accounting rate of return | ||||||||
Project A | ||||||||
Average profit = | =50000/5 | 10000 | ||||||
Average investment = 50000= | 50000 | |||||||
ARR = 10000/25000= | 20% | |||||||
Project B | ||||||||
Average profit = | =25000/5 | 5000 | ||||||
Average investment = 100000= | 100000 | |||||||
ARR = 5000/50000= | 5% | |||||||
iii. Net Present Value | ||||||||
Present value | ||||||||
i | ii | iii | iv=i*iii | v=ii*iii | ||||
year | Project A | Project B | PVIF @ 10% | Project A | Project B | |||
0 | -50000 | -100000 | 1.0000 | (50,000) | (100,000) | |||
1 | 10000 | 25000 | 0.9091 | 9,091 | 22,727 | |||
2 | 15000 | 25000 | 0.8264 | 12,397 | 20,661 | |||
3 | 20000 | 25000 | 0.7513 | 15,026 | 18,783 | |||
4 | 25000 | 25000 | 0.6830 | 17,075 | 17,075 | |||
5 | 30000 | 25000 | 0.6209 | 18,628 | 15,523 | |||
Total | 22,217 | (5,230) | ||||||
NPV A | $ 22,216.88 | |||||||
NPV B | $ (5,230.33) | |||||||
iv. Profitability index | ||||||||
Profitability index = present value of cash flow / Initial investment | ||||||||
PI of project A = | =(50000+22217)/50000 | 1.44 | ||||||
PI of project B = | =(100000-5230)/100000 | 0.95 | ||||||
Decision criterial = | ||||||||
Payback | ||||||||
Project A = | Accepted | It has lower payback period | ||||||
Project B = | Rejected | It has higher paybak period | ||||||
ARR | ||||||||
Project A = | Accepted | It has higher ARR | ||||||
Project B = | Rejected | It has lower ARR | ||||||
NPV | ||||||||
Project A = | Accepted | Since NPV is positive | ||||||
Project B = | Rejected | Since NPv is negative | ||||||
PI | ||||||||
Project A = | Accepted | PI is > 1 | ||||||
Project B = | Rejected | PI is < 1 |
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