What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. The easiest way to send money via MoneyGram - is to use our website and find the nearest MoneyGram agent location. FormFreeSM phone-based offering allows businesses to reduce labor costs and create an excellent consumer experience by leveraging MoneyGram Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. In March 2012, the company MoneyGram merged with the network of U.S. payment centers ZipZap.