The greatest increases in What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. 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. 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. 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.