The benefits of money transfers by MoneyGram: no fixup (the recipient may request payment at any MoneyGram agent in the country of receiving). The company continues to automate and enhance MoneyGram 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. MoneyGram hired compliance officers in many of their global offices to ensure compliance with regulations of specific countries or regions.