In 2011, a global network of agents of MoneyGram has grown up to 256 000 service points, thus its growth is 24% compared to the same period of the previous year. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. 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. FormFreeSM phone-based offering allows businesses to reduce labor costs and create an excellent consumer experience by leveraging MoneyGram MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.