After the correction of tariffs, volumes of MoneyGram transfers increased by 30%. What are the main benefits of money transfers by MoneyGram? Cost. Today, it is most advantageous to the customer service of all the similar services. Last year, MoneyGram business in the CIS and Eastern Europe took priority positions to increase the number of branches in comparison with other regions - were opened new four thousand branches. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc.