The greatest increases in After the correction of tariffs, volumes of MoneyGram transfers increased by 30%. What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. MoneyGram point-of-sale systems are continually upgraded to provide the latest new products and functionality.