"I'll put a deposit right now." - Prospective Tenant

[Mike Kalob]

"I like the place.  Take my deposit now, I'll pay a higher rate rent and sign a year lease so long as you stop showing the place.  Here's my credit report and tax returns [verified.]"

Just curious if any of you other landlords here this?  I always need to sleep over a big decision for at least 2 days, however I feel like I'd lose a very qualified tenant who's actually willing to pay higher given the hot market one of my properties is in.  Assuming all things check out (tax returns, salary, credit check which can be verified in an hour or so), do you sign contact same day?

Maybe I'm old school, but I like to mull things over for at least 2 days, thanks.