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Why would a bank take a lower all cash offer versus a higher offer via conventional lending?
Also keep in mind that with an all-cash offer, they get their money now and not spread over X-many years, which means they can reinvest it now rather than piece meal across the term of whatever the loan would be. (Presuming the bank would be financing the house themselves.) Additionally, with an all-cash offer, there end to be fewer lawyers at the table, fewer parties total, so the process can generally proceed faster.