In: Finance
You can purchase a tract of land for $75,000 that you believe you can develop and sell as a residential development. Your development costs are $60,000 to be incurred immediately. You expect to sell all the lots in years 3-5 at a net income of $70,000, $85,000, and $68,000 respectively. Your required rate of return is 12 percent. Do you purchase the tract of land?
NPV :
NPV is the difference between Present value of Cash Inflows and
Present value of cash outflows.
NPV = PV of Cash Inflows - PV of Cash Outflows
If NPV > 0 , Project can be accepted
NPV = 0 , Indifference point. Project can be accepted/
Rejected.
NPV < 0 , Project will be rejected.
Year | CF | PVF @12 % | Disc CF |
0 | $ (135,000.00) | 1.0000 | $ (135,000.00) |
1 | $ - | 0.8929 | $ - |
2 | $ - | 0.7972 | $ - |
3 | $ 70,000.00 | 0.7118 | $ 49,824.62 |
4 | $ 85,000.00 | 0.6355 | $ 54,019.04 |
5 | $ 68,000.00 | 0.5674 | $ 38,585.03 |
NPV | $ 7,428.68 |
As it has +ve NPV, we can proceed to purchase the Land.