The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. 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. MoneyGram financial results were driven by money transfer business, which delivered more than 40 percent growth in transaction volume.