Inheriting Tenants with No Deposit

[Oscar Rodriguez]

I am currently in contract for two duplexes.  They both have paying tenants on month to month leases.  The issue is that none of them have deposits.  What are some suggestions for handling this situation?  If anything at all.  I'm ok with the current rents as is.  As each tenant moves out, I will rehab and get more rent at that point.  Thanks for any input.