The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. The greatest increases in Despite the debt crisis in Europe and other shocks experienced by the world economy, the company MoneyGram International notes the increase in the money transfer market. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. In whatever part of the world you are, you can trust your money transfer to the company MoneyGram. MoneyGram financial results were driven by money transfer business, which delivered more than 40 percent growth in transaction volume.