The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. The greatest increases in MoneyGram hired compliance officers in many of their global offices to ensure compliance with regulations of specific countries or regions. Today the company MoneyGram International - an independent U.S. company, whose shares are traded on the New York Stock Exchange and MoneyGram money transfer is considered one of the largest international money transfer systems without opening a bank account.