Sometimes a lot of cash can "lessen the love" for a low producer.The one caveat is that if I was going to keep a low performer it would be in NYC or a few parts of CA where appreciation just keeps chugging along with periods of stagnation in between.  

Lesson learned: be weary when buying a home with inherited tenants that haven't been screened properly or at all.

Sometimes that takes awhile, especially if there are toxic tenants that you inherit.

Hello,After a aunt has passes i inherited her house in the Los Angeles area, house was given to me with current tenants. 

We closed on a property and inherited the leases (that aren't up for the next 4 months - a year).

@Alan Grobmeier, I did read that if its an inheritance we can avoid some tax implications.

I'm in the process of inheriting a 12 suite bldg from grandparent.

And we bought 3 houses back in the US while over in the UK, using money we earned, bonus payments, tax return money, a small inheritance, and so forth.

Also make sure the contract is inheritable upon either parties death.  

You will see increased cashflow, better financing terms, lessened tax burden and a higher overall return with multifamily.