Wired money transfer system MoneyGram is no longer new to us. According to statistics, every 4th person knows about it, or at least heard. The company installed more than 23,000 new MoneyGram signs around the globe, making it easier for consumers to find MoneyGram agents. Millions of people around the world trust MoneyGram, as the wired transfer system provides its customers with a reliable, fast and inexpensive service. MoneyGram Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc.