The greatest increases in Very intensive and focused approach has helped MoneyGram to grow business at a rapid pace and establish MoneyGram as a global player in the marketplace. MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. What are the main benefits of money transfers by MoneyGram? Reliability - the international payment system gives complete assurance that the money will be paid to the recipient. The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min). The benefits of money transfers by MoneyGram: simplicity in making up. Millions of families depend on MoneyGram to safely send money home or pay the bills.