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. Wired money transfer system MoneyGram is no longer new to us. According to statistics, every 4th person knows about it, or at least heard. The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min). MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year. MoneyGram financial results were driven by money transfer business, which delivered more than 40 percent growth in transaction volume.