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: payment of commission is only at the expense of sender. MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. Thousands of businesses count on MoneyGram for payment services to move money and drive commerce. This is a trust that MoneyGram takes very seriously.