MoneyGram - is an urgent money transfer by means of wired transfer around the world without opening a bank account. MoneyGram 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. For the company MoneyGram is important not only to provide customers with an easy and convenient way to carry out money transfers and support their families at home, but also to help them as much as possible to adapt to the foreign countries.