Dunay Corporation is considering investing $860,000 in a project. The life of the project would be 6 years. The project would require additional working capital of $36,000, which would be released for use elsewhere at the end of the project. The annual net cash inflows would be $182,000. The salvage value of the assets used in the project would be $46,000. The company uses a discount rate of 13%. (Ignore income taxes.) |
Click here to view Exhibit 11B-1 and Exhibit 11B-2, to determine the appropriate discount factor(s) using tables. |
Required: |
Compute the net present value of the project. (Negative amount should be indicated by a minus sign. Round discount factor(s) to 3 decimal places, intermediate and final answers to the nearest dollar amount.) |
NPV = Present value of cash flow-Initial cash outflow
we will use discount rate to find present value of cash flow
when there is uniform series of cash flow for years, we will use PV annuity
for single cash flow we will use PV factor
year 0 cash flow = $860,000+36,000
$896,000
year | cash flow | PV factor | Present value of cash flow | |
0 | ($896,000) | 1 | ($896,000) | |
1-6 | $182,000 | 3.998 | $727,636[$182,000*3.998] | |
6 | $82,000[$36,000+$46,000] | 0.480 | $39,360[$82,000*0.480] | |
NPV | -$129,004[-$896,000+727,636+39,360] | |||
Thus, NPV is -$129,004
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