The greatest increases in MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. What are the main benefits of money transfers by MoneyGram? Individual flexible service. The recipient has the opportunity to receive money at any MoneyGram office anywhere in the world. 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. MoneyGram The benefits of money transfers by MoneyGram: the opportunity to send a telegram with money transfer (up to 10 words) for free. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.