Money transfers via MoneyGram system can be used as by bank customers, and by people who do not have bank accounts. The greatest increases in MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. At the heart of MoneyGram is trust and reliability of customers. You can quickly send and receive money, as money transfers usually come to the recipient within 10 minutes. MoneyGram hired compliance officers in many of their global offices to ensure compliance with regulations of specific countries or regions. The benefits of money transfers by MoneyGram: simplicity in making up.