How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min). MoneyGram point-of-sale systems are continually upgraded to provide the latest new products and functionality. The benefits of money transfers by MoneyGram: sender of of transfer can choose to receive a money transfer currency - U.S. dollars or euros.