Despite the debt crisis in Europe and other shocks experienced by the world economy, the company MoneyGram International notes the increase in the money transfer market. If you need to cancel or change a transaction, then you should contact by telephone with the MoneyGram branch agent, made the transaction for you. 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.