How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. MoneyGram company operates around the clock and all 7 days a week, so the time of money transfer takes only 10 minutes. Today, MoneyGram - is the second world leader by the growth of money transfers between individuals and the dynamics of international network services. In March 2012, the company MoneyGram merged with the network of U.S. payment centers ZipZap.