The company continues to automate and enhance MoneyGram 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. Today the company MoneyGram International - an independent U.S. company, whose shares are traded on the New York Stock Exchange and MoneyGram money transfer is considered one of the largest international money transfer systems without opening a bank account. Keep in mind that if your locality there are several banks, working with MoneyGram and you will convert the currency received, before receiving check currency rates in several points - they can vary.