If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. 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. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. 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. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.