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. Undoubtedly, you should use the system of electronic money transfers MoneyGram, if you want to send or receive money with the guarantee of their delivery and safety. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.