MoneyGram agents are located - in post offices, bank offices, supermarkets, and even travel agencies. Technology continues to play a key role in increasing MoneyGram transaction speed, automating and streamlining processes, and creating new functionality. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. 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.