You can do what's called a Flex97 and yes it is a Prime Fanniemae Product. Things you need to have... Clean credit, no collections etc, 45% or less DTI, and 3 -6 months of reserves.
or
You can go 100% LTV going subprime but not all lenders will do this. I know mine does and if you are doing a loan with our company we can do a rapid rescore in 48 hours.
Send me a email if you have any questions.