The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. MoneyGram - is an urgent money transfer by means of wired transfer around the world without opening a bank account. How to send money via MoneyGram money transfer? To make up a money transfer you should go to the MoneyGram agents and fill the application form for transfer. Around the world, MoneyGram is working with leading financial institutions. 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. In March 2012, the company MoneyGram merged with the network of U.S. payment centers ZipZap.