Money transfers via MoneyGram system can be used as by bank customers, and by people who do not have bank accounts. What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. 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.