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. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. 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 launched a new in-person bill payment service which will be delivered through agents in their domestic network, giving consumers an easy, low-cost method to pay their bills.