The benefits of money transfers by MoneyGram: no fixup (the recipient may request payment at any MoneyGram agent in the country of receiving). 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. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. The benefits of money transfers by MoneyGram: sender of of transfer can choose to receive a money transfer currency - U.S. dollars or euros.