The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. What are the main benefits of money transfers by MoneyGram? Reliability - the international payment system gives complete assurance that the money will be paid to the recipient.