It's a Chamaedorea but I'm not going to guess the species. That's the inflorescence that will eventually yield fruit. Handle it carefully, most of them produce an oxylate on the seeds.

Nice Job, it most likely will not produce usable seed due to conditions but flowers are nice!

Looks like a multiple planting of Chamaedorea elegans, Parlour Palm. They have separate male and female plants. You have to have them flowering at the same time to get viable seed. Statistically with multiple plantings from seed you have a 50:50 chance of half male and half female plants. May take some time before you find out.

For any plant to produce viable seeds, pollination has to occur.

Info about Chamadorea elegans seeds in this discussion:

http://forums2.gardenweb.com/discussions/2831033/parlor-palm-chamaedorea-elegans-seeds-male-vs-female?n=13