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. What are the main benefits of money transfers by MoneyGram? Reliability - the international payment system gives complete assurance that the money will be paid to the recipient. MoneyGram company operates around the clock and all 7 days a week, so the time of money transfer takes only 10 minutes.