Wired money transfer system MoneyGram is no longer new to us. According to statistics, every 4th person knows about it, or at least heard. 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.