If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. 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: the payment of transfers is made in cash. MoneyGram hired compliance officers in many of their global offices to ensure compliance with regulations of specific countries or regions. The benefits of money transfers by MoneyGram: sender of of transfer can choose to receive a money transfer currency - U.S. dollars or euros.