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. The benefits of money transfers by MoneyGram: branching of network of the implementation of transfers across the world. Get information about the list of banks participating in the transfer system of MoneyGram, location and time of the closest points of service on the site of the system.