If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. The benefits of money transfers by MoneyGram: no fixup (the recipient may request payment at any MoneyGram agent in the country of receiving). MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. Bank services of MoneyGram on money transfer are available only to individuals. What are the main benefits of money transfers by MoneyGram? Cost. Today, it is most advantageous to the customer service of all the similar services.