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. MoneyGram offers an efficient, fast and secure way to send money around the world. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year. The benefits of money transfers by MoneyGram: sender of of transfer can choose to receive a money transfer currency - U.S. dollars or euros.