The greatest increases in In due time MoneyGram separated from the Western Union and became an independent brand. 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. The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min). Commission income on remittances and other revenues of MoneyGram in the 2nd quarter 2012 increased by 10% compared to the same period last year and 13% in the base currency.