The company continues to automate and enhance MoneyGram MoneyGram offers an efficient, fast and secure way to send money around the world. MoneyGram hired compliance officers in many of their global offices to ensure compliance with regulations of specific countries or regions. The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min). MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.