Money transfers via MoneyGram system can be used as by bank customers, and by people who do not have bank accounts. Millions of people around the world trust MoneyGram, as the wired transfer system provides its customers with a reliable, fast and inexpensive service. 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.