It sounds like you want to use the benefits from the relocation package before it expires. Your package probably pays for your closing costs, right ?
I was in a similar situation. When I relocated to San Diego, my relocation package included the closing costs of buying a house. This is pretty standard, so I guess yours is similar.
Anyway, I chose not to use that because the benefits (a few thousands dollars) is not worth the cost (loss of equity when prices go down).
