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Why would a bank take a lower all cash offer versus a higher offer via conventional lending?
@OP:  It's all about risk.  With a cash buyer the decision is left up to one person.  With a financed buyer it adds another approval process (the lender).  It's another opportunity for the deal to fall through.  If the bank is the lender then there's even more risk.  They've already taken back the property once and incurred cost and they're setting themselves up to do it all over again.  The discount price can depend on a lot of factors.  Maybe it's a bad area and they need to get rid of it.  Maybe the appraisals for the area are low because of foreclosures and they know it will be hard for a Buyer to get a loan.  Lots of reasons as to what price they'd take. @Shawn:  Every deal has contingencies unless it's a foreclosure bought at auction.  Even if you are getting a steal from the bank in terms of price you're always going to have an inspection period.  If a Buyer doesn't need an inspection then he will just go to an auction and buy a property for an even cheaper price.