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. Around the world, MoneyGram is working with leading financial institutions. At the heart of MoneyGram is trust and reliability of customers. You can quickly send and receive money, as money transfers usually come to the recipient within 10 minutes. MoneyGram point-of-sale systems are continually upgraded to provide the latest new products and functionality.