MoneyGram wired transfer implemented many changes to its technology platforms designed to prevent or detect suspicious transactions. The greatest increases in After the correction of tariffs, volumes of MoneyGram transfers increased by 30%. 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 completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.