Refinancing Question

Hi, not sure if this is the right group to ask, but, I just refinanced
my house, and when we got the closing docs, something did not add up.

My new loan closed on Oct 17th, but did not fund until the 19th. The
bank and/or title company has charge me interest on new loan as of
closing date, the 17th, but I have to pay my old loan until the new
loan funds, on the 19th. So I am paying interest on both loans for 3
days. This does not seem right to me, mathematically or ethically.

Is this right, or am I getting screwed by the bank and/or title
company. Both the old loan and new loan are with the same bank so they
should not be able to claim any lag time.

Thanks.

Mark Stephen