What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. The benefits of money transfers by MoneyGram: no fixup (the recipient may request payment at any MoneyGram agent in the country of receiving). Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. Millions of families depend on MoneyGram to safely send money home or pay the bills.