MoneyGram - is an urgent money transfer by means of wired transfer around the world without opening a bank account. What are the main benefits of money transfers by MoneyGram? Individual flexible service. The recipient has the opportunity to receive money at any MoneyGram office anywhere in the world. 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.