What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. If you need to cancel or change a transaction, then you should contact by telephone with the MoneyGram branch agent, made the transaction for you. 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.