If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. Money transfers via MoneyGram system can be used as by bank customers, and by people who do not have bank accounts. MoneyGram What are the main benefits of money transfers by MoneyGram? Cost. Today, it is most advantageous to the customer service of all the similar services. The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min). MoneyGram financial results were driven by money transfer business, which delivered more than 40 percent growth in transaction volume.