For the recipient MoneyGram service of wired transfer is free. All expenses will be paid by the sender at the time of sending money. At the heart of MoneyGram is trust and reliability of customers. You can quickly send and receive money, as money transfers usually come to the recipient within 10 minutes. MoneyGram Thousands of businesses count on MoneyGram for payment services to move money and drive commerce. This is a trust that MoneyGram takes very seriously. In March 2012, the company MoneyGram merged with the network of U.S. payment centers ZipZap.