If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. MoneyGram's consumers and agents expect reliability and safety and that is precisely what MoneyGram continues to deliver, transaction by transaction. 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). Money transfer wired system MoneyGram offers annually U.S. $ 500,000 in grants to charitable organizations to support education programs in developing countries.