If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. Since going public two and a half years ago, MoneyGram has made great strides by pouring energy and resources into several critically important areas for business. MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. The Global Funds Transfer segment is the primary segment of MoneyGram, providing money transfer and bill payment services to consumers, who are often unbanked or underbanked. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year. The benefits of money transfers by MoneyGram: sender of of transfer can choose to receive a money transfer currency - U.S. dollars or euros.