The benefits of money transfers by MoneyGram: no fixup (the recipient may request payment at any MoneyGram agent in the country of receiving). The company continues to automate and enhance MoneyGram MoneyGram offers an efficient, fast and secure way to send money around the world. The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min). MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year. Today, MoneyGram - is the second world leader by the growth of money transfers between individuals and the dynamics of international network services.