And no, "America" is not a pair of continents in standard usage -- that's "the Americas" you're probably thinking of (plural and with the definite article). Which is a rare term to come across, essentially unused in regular conversation, reserved for some highly specific contexts.
And I'm saying that companies being able to name themselves after political regions is absurd. How is that fair? I don't get to name my company "Google Bank" (and make it seem falsely associated with Google), so why should I get to name my company "New York Bank" (and make it seem falsely associated with New York)?