The benefits of money transfers by MoneyGram: high level of data protection and confidentiality of money transfers. 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.