Wired money transfer system MoneyGram is no longer new to us. According to statistics, every 4th person knows about it, or at least heard. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. 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. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.