Discount for Cash Offer on REO Properties?

[Matt SF]

I'm interested in buying a few REO condos/townhouses in Florida using 100% cash.

But I'm curious... how aggressive of a discount (if any) should I include in the cash offer for these REO properties?

The banks probably see laughable low ball offers 1000s of times a day, so I want to be in the ballpark, but not have them write me off completely.

Any help would be appreciated, especially from an investor/owner occupant who has successfully purchased 1 or more Florida REO properties.

Thanks in advance!