The greatest increases in The company continues to automate and enhance MoneyGram 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. What are the main benefits of money transfers by MoneyGram? Individual flexible service. The recipient has the opportunity to receive money at any MoneyGram office anywhere in the world. The benefits of money transfers by MoneyGram: the payment of transfers is made in cash.