An investor purchases a property for $1,000,000, financing 92% of the purchase price. He plans to sell the property four years later for $1,200,000. The expected net cash flows for the investment are as follows:
Year 1 |
$23,450 |
Year 2 |
$25,312 |
Year 3 |
$27,879 |
Year 4 (net of mortgage payoff) |
$261,450 |
Assuming a 9% cost of equity, the net present value (NPV) of the cash flows at the time the property is purchased is:
The present value of the cash flows is: $23,450 / 1.09 + $25,312 / 1.092 + $27,879 / 1.093 + 261,450 / 1.094 = $249,563.83. The NPV is the present value of the cash flows minus the initial investment: $249,564 – $80,000 = $169,564. |