The greatest increases in MoneyGram - is an urgent money transfer by means of wired transfer around the world without opening a bank account. Money orders and official checks by MoneyGram continue their steady performance and expanded line of bill payment services deliver excellent results. 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.