If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. Wired money transfer system MoneyGram is no longer new to us. According to statistics, every 4th person knows about it, or at least heard. After the correction of tariffs, volumes of MoneyGram transfers increased by 30%. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc.