The benefits of money transfers by MoneyGram: no fixup (the recipient may request payment at any MoneyGram agent in the country of receiving). Since going public two and a half years ago, MoneyGram has made great strides by pouring energy and resources into several critically important areas for business. Around the world, MoneyGram is working with leading financial institutions. MoneyGram's consumers and agents expect reliability and safety and that is precisely what MoneyGram continues to deliver, transaction by transaction. MoneyGram Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. The benefits of money transfers by MoneyGram: simplicity in making up.