What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. AgentConnect allows MoneyGram agents to integrate the money transfer service with their internal security and training processes. Technology continues to play a key role in increasing MoneyGram transaction speed, automating and streamlining processes, and creating new functionality. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. The Global Funds Transfer segment is the primary segment of MoneyGram, providing money transfer and bill payment services to consumers, who are often unbanked or underbanked.