The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. In due time MoneyGram separated from the Western Union and became an independent brand. FormFreeSM phone-based offering allows businesses to reduce labor costs and create an excellent consumer experience by leveraging MoneyGram 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.