What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. Technology continues to play a key role in increasing MoneyGram transaction speed, automating and streamlining processes, and creating new functionality. MoneyGram - is an urgent money transfer by means of wired transfer around the world without opening a bank account. In March 2012, the company MoneyGram merged with the network of U.S. payment centers ZipZap.