If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. The company installed more than 23,000 new MoneyGram signs around the globe, making it easier for consumers to find MoneyGram agents. 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: 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.