McKnight Company is considering two different, mutually
exclusive capital expenditure proposals. Project A will cost
$509,000, has an expected useful life of 12 years, a salvage value
of zero, and is expected to increase net annual cash flows by
$74,100. Project B will cost $342,000, has an expected useful life
of 12 years, a salvage value of zero, and is expected to increase
net annual cash flows by $50,700. A discount rate of 8% is
appropriate for both projects.
Compute the net present value and profitability index of each
project. (If the net present
value is negative, use either a negative sign preceding the number
eg -45 or parentheses eg (45). Round present value answers to 0
decimal places, e.g. 125 and profitability index answers to 2
decimal places, e.g. 15.25. For calculation
purposes, use 5 decimal places as displayed in the
factor table provided.)
Net present value - Project A | $ | ||
Profitability index - Project A | |||
Net present value - Project B | $ | ||
Profitability index - Project B |
Which project should be accepted based on Net Present Value?
Which project should be accepted based on profitability index?
Answer:
Particulars | Year | Cash Flow Project A | Cash Flow Project B | PVF @ 8% | PV Project A | PV Project B |
Initial Cash outflow | 0 | 509,000 | 342,000 | 1 | 509,000 | 342,000 |
Present value of cash outflows | 509,000 | 342,000 | ||||
Cash Inflows | 1 to 12 | 74,100 | 50,700 | 7.5361 | 558,425 | 382,080 |
Present value of cash inflows | 558,425 | 382,080 | ||||
Net Present Value | 49,425 | 40,080 |
Profitability Index Project A = 558,425/509000 i.e 1.0971
Profitability Index Project B = 382,080/342,000 i.e 1.1172
On the basis of NPV project A should be accepted and on the basis of profitability index project B should be accepted
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