What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. MoneyGram's consumers and agents expect reliability and safety and that is precisely what MoneyGram continues to deliver, transaction by transaction. Using the MoneyGram system, you can easily send money to your relatives and friends in other countries. MoneyGram offers an efficient, fast and secure way to send money around the world. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc.