Investor Clarity and Bank Parity Act (Sec. 2) This bill amends the Bank Holding Company Act of 1956 to permit a hedge fund or private-equity fund to share the same name, or a variation of the same name, with a banking entity that is an investment adviser to the hedge fund or private-equity fund, if: the investment adviser is not, and does not share the same name with, an insured depository institution, a company that controls an insured depository institution, or a company treated as a bank holding company for purposes of specified provisions of law relating to nonbanking activities of foreign banks; and the name does not contain the word "bank."