MoneyGram wired transfer implemented many changes to its technology platforms designed to prevent or detect suspicious transactions. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. MoneyGram offers an efficient, fast and secure way to send money around the world. 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.