Wired money transfer system MoneyGram is no longer new to us. According to statistics, every 4th person knows about it, or at least heard. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. Thousands of businesses count on MoneyGram for payment services to move money and drive commerce. This is a trust that MoneyGram takes very seriously. In March 2012, the company MoneyGram merged with the network of U.S. payment centers ZipZap.