There should be sub-categories here for the old money rich and the new money rich. Both are snobs, but both in different ways.
The old money is usually WASPy, works hard to imitate the English snob (and fails miserably)and tends to a certain effeteness.
The new money is brash, conspicuous, consumptive and arrogant, with a strong overtone of macho breastbeating.
