In due time MoneyGram separated from the Western Union and became an independent brand. MoneyGram offers an efficient, fast and secure way to send money around the world. The benefits of money transfers by MoneyGram: the opportunity to send a telegram with money transfer (up to 10 words) for free. Millions of families depend on MoneyGram to safely send money home or pay the bills. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.