The greatest increases in The benefits of money transfers by MoneyGram: payment of commission is only at the expense of sender. Technology continues to play a key role in increasing MoneyGram transaction speed, automating and streamlining processes, and creating new functionality. 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. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc.