Due to a high demand for corn as a source of ethanol fuel production, a farmer is considering planting more corn, which requires the purchase of a new, larger row crop planter. The planter will cost $25,000 and has an expected service life of six years with salvage value of 10% of the initial purchase price. The new planter allows the farmer to plant the crop in less time and to increase average crop yields. The net cash flow from this more efficient planter is as follows:

n                                                                  A_n

0………………………………..................-$25,000

1………………………………….................$6,800

2………………………………….................$6,350

3………………………………….................$8,735

4………………………………….................$7,500

5…………………………………..................$4300

6…………………………………..$7,000 + $1,800

What is the net present value for this purchase if the farmer’s interest rate is 9%?