Money transfers via MoneyGram system can be used as by bank customers, and by people who do not have bank accounts. MoneyGram agents are located - in post offices, bank offices, supermarkets, and even travel agencies. MoneyGram Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. What are the main benefits of money transfers by MoneyGram? Reliability - the international payment system gives complete assurance that the money will be paid to the recipient. Millions of families depend on MoneyGram to safely send money home or pay the bills.