Technology continues to play a key role in increasing MoneyGram transaction speed, automating and streamlining processes, and creating new functionality. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. Thousands of businesses count on MoneyGram for payment services to move money and drive commerce. This is a trust that MoneyGram takes very seriously. The benefits of money transfers by MoneyGram: simplicity in making up. In whatever part of the world you are, you can trust your money transfer to the company MoneyGram.