The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. 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. Today, MoneyGram - is the second world leader by the growth of money transfers between individuals and the dynamics of international network services.