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. Around the world, MoneyGram is working with leading financial institutions. The company continues to automate and enhance MoneyGram MoneyGram launched a new in-person bill payment service which will be delivered through agents in their domestic network, giving consumers an easy, low-cost method to pay their bills. What are the main benefits of money transfers by MoneyGram? Cost. Today, it is most advantageous to the customer service of all the similar services. The benefits of money transfers by MoneyGram: simplicity in making up.