I'm assuming that you are buying directly from Disney.
There is a mandatory 15 day waiting period. This starts from the date you put on all the documents that you signed. After that date, Disney starts processing the paperwork. After "a few days" (Disney's words) you will go on the closing list. They do all their closings on Wednesdays.
For example, I signed all the paperwork on an add-on at VWL on 4/28/01. Sent the papers back. Fifteen days would put me at 5/13/01, a Sunday. However, since there are "a few days" to get all the paperwork ready after the waiting period, mine won't close on Wednesday the 16th but on Wednesday the 23rd.