A BRRRR question in regards to the bank refinancing...

[Blaine Cox]

I'm going to break down an example and appreciate any feedback....

My wife and I are debating on selling a rental property we have to use the cash to start our rental property investing.  If we sell, after Realtors fee we would have around $40,000 cash to use for investing.  (reason for selling is this property really isn't cash flowing, it was our home before we moved to where we are now)

So in a scenario lets say we find a duplex and we can buy for $95,000.  Typically in our area 20% is needed as a downpayment.  So $19,000.  Lets say $10,000 is needed for repairs so that brings a total of $29,000 out of our cash.  Closing costs, etc I'm not including, just making a basic scenario for my question about the bank.

Once the repairs are done and we have tenants; will the bank refinance the exact amount we need to pay ourselves back?   So in my example would they refi at $105,000 ($76,000 mortgage, $19,000 down payment, $10,000 fix up costs).  Lets say the property after repairs is worth $125,000 - $130,000.

My main question here is will the bank refi exactly what we would need back to pay ourselves back?