Millions of people around the world trust MoneyGram, as the wired transfer system provides its customers with a reliable, fast and inexpensive service. How to send money via MoneyGram money transfer? To make up a money transfer you should go to the MoneyGram agents and fill the application form for transfer. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. Millions of families depend on MoneyGram to safely send money home or pay the bills. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.