After the correction of tariffs, volumes of MoneyGram transfers increased by 30%. Despite the debt crisis in Europe and other shocks experienced by the world economy, the company MoneyGram International notes the increase in the money transfer market. 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. What are the main benefits of money transfers by MoneyGram? Cost. Today, it is most advantageous to the customer service of all the similar services. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. Millions of families depend on MoneyGram to safely send money home or pay the bills.