If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. Wired money transfer system MoneyGram is no longer new to us. According to statistics, every 4th person knows about it, or at least heard. 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. What are the main benefits of money transfers by MoneyGram? Reliability - the international payment system gives complete assurance that the money will be paid to the recipient. The benefits of money transfers by MoneyGram: sender of of transfer can choose to receive a money transfer currency - U.S. dollars or euros.