What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. Very intensive and focused approach has helped MoneyGram to grow business at a rapid pace and establish MoneyGram as a global player in the marketplace. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. The benefits of money transfers by MoneyGram: the payment of transfers is made in cash. MoneyGram offers an efficient, fast and secure way to send money around the world. MoneyGram Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year. In March 2012, the company MoneyGram merged with the network of U.S. payment centers ZipZap.