If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. Very intensive and focused approach has helped MoneyGram to grow business at a rapid pace and establish MoneyGram as a global player in the marketplace. MoneyGram point-of-sale systems are continually upgraded to provide the latest new products and functionality. The benefits of money transfers by MoneyGram: simplicity in making up.