Since going public two and a half years ago, MoneyGram has made great strides by pouring energy and resources into several critically important areas for business. If you need to cancel or change a transaction, then you should contact by telephone with the MoneyGram branch agent, made the transaction for you. The benefits of money transfers by MoneyGram: simplicity in making up. 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.