If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. For the recipient MoneyGram service of wired transfer is free. All expenses will be paid by the sender at the time of sending money. MoneyGram The benefits of money transfers by MoneyGram: simplicity in making up. MoneyGram company operates around the clock and all 7 days a week, so the time of money transfer takes only 10 minutes.