To be precise, it depends on the timing of the due date for the tax installments. I will give you a good example:
Here in CA, our first installment of taxes is due on Nov. 1 and late on Dec. 10. Our second installment of taxes are due on February 1 and late by April 10. Most homeowners do not escrow/impound their taxes and insurance.
If you have a transaction that is closing on December 8th, for example, you will be required to bring in your first installment of taxes (they are currently due). Your first payment on the new loan will be February 1, so technically your second installment of taxes will also be due at close. Escrow would, in this case, collect both installments at close, and this would be a shock to most borrowers unless their loan officers alerted them in advance.
This is just one example, but if you have specific questions or scenarios, please let me know.
Good Luck and enjoy your new home
Senior Real Estate Specialist
Certified Buyer Representative
Century 21 Princeton Properties