If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. AgentConnect continues to be an attractive alternative for businesses that choose to integrate their networks and point-of-sale platforms with the MoneyGram wired transfer. Today the company MoneyGram International - an independent U.S. company, whose shares are traded on the New York Stock Exchange and MoneyGram money transfer is considered one of the largest international money transfer systems without opening a bank account. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.