The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. 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. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. 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 company operates around the clock and all 7 days a week, so the time of money transfer takes only 10 minutes.