What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. Despite the debt crisis in Europe and other shocks experienced by the world economy, the company MoneyGram International notes the increase in the money transfer market. MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. Experienced consultants of MoneyGram will help you in execution of documents for payment and you will be pleasantly surprised by the speed of service. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc.