If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. MoneyGram - is an urgent money transfer by means of wired transfer around the world without opening a bank account. For the recipient MoneyGram service of wired transfer is free. All expenses will be paid by the sender at the time of sending money.