That being said, anything is possible with private funds (local or small regional banks lending their own funds) but outside of that, you're looking at 25% down unless it's a HomePath eligible property, then a two flat can be purchased with only 20% down.
Happy house hunting!
It seems most people have the right of it here with standard guidelines requiring 20% on single family investment properties and 25% or more for multi-family investment properties. Depending on what your stated intentions are for your current property and your own willingness to compromise, there may be some moves we can make to help you out. Give me a shout when you're free and we'll talk about creative financing options. I'm also local and can meet with you in person if that helps...
(Keep in mind that when you give a thumbs up to an answer - or better choose an answer as a best answer - it helps the answerer on this site.)
We have an awesome referral who will shoot you straight on your options. Feel free to check him out and tell him Territory sent you:
Your best option will probably be a local bank so also try there.