U3 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.
Project Bono | Project Edge | Project Clayton | |||||
---|---|---|---|---|---|---|---|
Capital investment | $174,400 | $190,750 | $214,000 | ||||
Annual net income: | |||||||
Year 1 | 15,260 | 19,620 | 29,430 | ||||
2 | 15,260 | 18,530 | 25,070 | ||||
3 | 15,260 | 17,440 | 22,890 | ||||
4 | 15,260 | 13,080 | 14,170 | ||||
5 | 15,260 | 9,810 | 13,080 | ||||
Total | $76,300 | $78,480 | $104,640 |
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 answers to 0 decimal places, e.g. 125. If the
net present value is negative, use either a negative sign preceding
the number eg -45 or parentheses eg (45). For
calculation purposes, use 5 decimal places as displayed in the
factor table provided.)
Project Bono | Project Edge | Project Clayton | |||||
---|---|---|---|---|---|---|---|
Net present value | (6323.20) | (7970.46) | ????? |
Solution..
Answer.. NPV = $3674
Calculation of net cash inflow from the project Clayton
Particulars | Year 1 | Year. 2 | year 3 | year 4 | year 5 |
Annul net income | $29430 | $25070 | $22890 | $14170 | $13080 |
Add. Depreciation | $42800 | $42800 | $42800 | $42800 | $42800 |
Net annual cash flow | $72230 | $67870 | $65690 | $56970 | $55880 |
Calculation of NPV of the project Clayton
Year | Net cash inflow | Dis. factor @15% | Discounted cash flow |
1 | $72230 | 0.86956 | $62808.3188 |
2 | $67870 | 0.75614 | $51319.2218 |
3. | $65690 | 0.65751 | $43191.8319 |
4. | $56970 | 0.57175 | $32572.5975 |
5. | $55880 | 0.49717 | $27781.8596 |
$217,673.8296 |
Present value of all future cash inflows $217,673.8296
Initial investments $214,0000
Net Present Value $3673.8296
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