The greatest increases in 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? Reliability - the international payment system gives complete assurance that the money will be paid to the recipient. Today, MoneyGram - is the second world leader by the growth of money transfers between individuals and the dynamics of international network services.