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From the linked study:
So giving them $7500 reduced shelter costs by $8277. I would guess the total “societal cost” reduction is even higher, due to the harder to calculate indirect costs; but those are difficult to validate.
Also, there’s 99 shelter days saved per person, $777 for that period would be incredible. If you’ve got a secret to run a shelter for < $8/bed/day, you’re going to solve homelessness and the housing shortage.