If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. MoneyGram hired compliance officers in many of their global offices to ensure compliance with regulations of specific countries or regions. The benefits of money transfers by MoneyGram: simplicity in making up. MoneyGram financial results were driven by money transfer business, which delivered more than 40 percent growth in transaction volume.