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. What are the main benefits of money transfers by MoneyGram? Cost. Today, it is most advantageous to the customer service of all the similar services. Thousands of businesses count on MoneyGram for payment services to move money and drive commerce. This is a trust that MoneyGram takes very seriously. Millions of families depend on MoneyGram to safely send money home or pay the bills.