What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. 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. If you need to cancel or change a transaction, then you should contact by telephone with the MoneyGram branch agent, made the transaction for you. Money transfer wired system MoneyGram offers annually U.S. $ 500,000 in grants to charitable organizations to support education programs in developing countries.