What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. Since going public two and a half years ago, MoneyGram has made great strides by pouring energy and resources into several critically important areas for business. The company continues to automate and enhance MoneyGram MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. 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. Using the MoneyGram system, you can easily send money to your relatives and friends in other countries. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.