Despite the debt crisis in Europe and other shocks experienced by the world economy, the company MoneyGram International notes the increase in the money transfer market. How to send money via MoneyGram money transfer? To make up a money transfer you should go to the MoneyGram agents and fill the application form for transfer. 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.