Money transfers via MoneyGram system can be used as by bank customers, and by people who do not have bank accounts. MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. The benefits of money transfers by MoneyGram: the opportunity to send a telegram with money transfer (up to 10 words) for free. Millions of families depend on MoneyGram to safely send money home or pay the bills.