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. 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. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. The benefits of money transfers by MoneyGram: simplicity in making up.