Wired money transfer system MoneyGram is no longer new to us. According to statistics, every 4th person knows about it, or at least heard. What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. MoneyGram offers an efficient, fast and secure way to send money around the world. 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.