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. Thousands of businesses count on MoneyGram for payment services to move money and drive commerce. This is a trust that MoneyGram takes very seriously.