Wired money transfer system MoneyGram is no longer new to us. According to statistics, every 4th person knows about it, or at least heard. 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. 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.