In due time MoneyGram separated from the Western Union and became an independent brand. AgentConnect continues to be an attractive alternative for businesses that choose to integrate their networks and point-of-sale platforms with the MoneyGram wired transfer. 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. In March 2012, the company MoneyGram merged with the network of U.S. payment centers ZipZap.