If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. The greatest increases in What are the main benefits of money transfers by MoneyGram? Availability - MoneyGram payment system services are available everywhere, in more than 186 thousand locations in 190 countries. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. 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.