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. MoneyGram company operates around the clock and all 7 days a week, so the time of money transfer takes only 10 minutes. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.