If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. MoneyGram wired transfer implemented many changes to its technology platforms designed to prevent or detect suspicious transactions. Millions of people around the world trust MoneyGram, as the wired transfer system provides its customers with a reliable, fast and inexpensive service. The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min). MoneyGram point-of-sale systems are continually upgraded to provide the latest new products and functionality. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.