If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. The company installed more than 23,000 new MoneyGram signs around the globe, making it easier for consumers to find MoneyGram agents. Technology continues to play a key role in increasing MoneyGram transaction speed, automating and streamlining processes, and creating new functionality. MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. Millions of families depend on MoneyGram to safely send money home or pay the bills. MoneyGram financial results were driven by money transfer business, which delivered more than 40 percent growth in transaction volume.