The greatest increases in 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. The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min). MoneyGram point-of-sale systems are continually upgraded to provide the latest new products and functionality. Thousands of businesses count on MoneyGram for payment services to move money and drive commerce. This is a trust that MoneyGram takes very seriously.