You are evaluating a prospective project. The cost of the project is $135,000 at year 0, the project will generate a cash inflow of $5,000 for the first 3 years and a cash inflow of $21,000 dollars for 7 years afterwards. The appropriate discount rate is 12.94%. Ignoring the PV of the tax shield generated by this project, the NPV of this project is (round to 2 decimals)
Answer :
Calculation of Net Present Value
Net Present Value = Present Value of Cash Inflow - Present Value of Cash Outflow
Present Value of Cash Outflow = 135,000
Below is the table showing Calculation of Present value of cash Inflow
Year | Cash Flows | PVF @12.94% | Present Value of cash Flows |
1 | 5000 | 0.88542589 | 4427.129449 |
2 | 5000 | 0.783979006 | 3919.895032 |
3 | 5000 | 0.694155309 | 3470.776547 |
4 | 21000 | 0.614623083 | 12907.08473 |
5 | 21000 | 0.54420319 | 11428.26698 |
6 | 21000 | 0.481851594 | 10118.88346 |
7 | 21000 | 0.426643876 | 8959.521396 |
8 | 21000 | 0.377761534 | 7932.992205 |
9 | 21000 | 0.334479842 | 7024.076682 |
10 | 21000 | 0.296157112 | 6219.299347 |
Present value of Cash Flows | 76,407.92584 |
Net Present Value = 76,407.92584 - 135,000
= (-58,592.07416)
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