In due time MoneyGram separated from the Western Union and became an independent brand. The company continues to automate and enhance MoneyGram 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. The benefits of money transfers by MoneyGram: simplicity in making up. In March 2012, the company MoneyGram merged with the network of U.S. payment centers ZipZap.