From what I understand, hitting 700 can be done in 24 months. I am 8 months post discharge and I am sitting in the upper 600s. By just following the rules, get a couple CCs, keep util low and get and installment loan going. I should be over 700 soon.
Also from what I have learned, the top score with a BK reporting is in the upper 700s. I am going for it!!
Tooleman694 is correct and I would just include one thing based on personal experience. Yes, scores do improve and scores in the high 600's and on into the 700's are possible with short time and high diligence. HOWEVER, folks that are post BK are graded and scored on a different card than others without BK filing. In other words, there is little margin for error and/or foregivness if one starts missing payments, or just as bad - runs CC balances up and above their limits. This behavior to the creditors is that the person's financial habits have not changed and their score will drop 100 - 150 points overnight. I had scores within 90 days of BK discharge in the mid 600's, and next thing you know here come the CC offers. I wasn't paying much attention and ran them up and then those $100+ annual fees came due, which of course put me over the limit - and my score went from 650 right down to 550. To make matters worse, one card (with a $300 limit and horrible customer service) didn't get its payment and reported me 30 days late which caused my score to drop to the high 400's. Remember, most of these sub-prime CC's charge obsene interest rates, outrageous annual fees, and have lousy customer service and next to zero tolerance for missed payments.
Needless to say, I got my financial s*** together and started educating myself on how the system works (this website has been a HUGE help). Bottom line is follow the advise on this thread and, if you can absolutely avoid it - DO NOT make any mistakes because you will be penalized harshly until you, me and everyone else in the same boat start getting scored on another card. From what i understand there are about 4-5 different score-cards (i.e., classifications). It has taken me about 6 months to get back to where i started, so try your best to follow the advice given on this site and tend the garden weekly. Just my opinion, good luck.
It should go up some but you will need to start rebuilding which means getting a credit card and having it report.