Millions of people around the world trust MoneyGram, as the wired transfer system provides its customers with a reliable, fast and inexpensive service. The easiest way to send money via MoneyGram - is to use our website and find the nearest MoneyGram agent location. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. MoneyGram launched a new in-person bill payment service which will be delivered through agents in their domestic network, giving consumers an easy, low-cost method to pay their bills. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc.