Wired money transfer system MoneyGram is no longer new to us. According to statistics, every 4th person knows about it, or at least heard. Millions of people around the world trust MoneyGram, as the wired transfer system provides its customers with a reliable, fast and inexpensive service. The company continues to automate and enhance MoneyGram MoneyGram offers an efficient, fast and secure way to send money around the world. The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min).