In due time MoneyGram separated from the Western Union and became an independent brand. To find MoneyGram agents will help you easily recognizable logo, as well as our website which will help you find the nearest location to send and receive money via MoneyGram. MoneyGram The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min). 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.