Money transfers can be claimed within 45 days, but if for some reason, this period is exceeded, the processing operator would need additional time to call the main office of the company of MoneyGram for voice authorization. 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: branching of network of the implementation of transfers across the world. Today, MoneyGram - is the second world leader by the growth of money transfers between individuals and the dynamics of international network services.