In due time MoneyGram separated from the Western Union and became an independent brand. 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. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. Thousands of businesses count on MoneyGram for payment services to move money and drive commerce. This is a trust that MoneyGram takes very seriously.