Technology continues to play a key role in increasing MoneyGram transaction speed, automating and streamlining processes, and creating new functionality. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. Thousands of businesses count on MoneyGram for payment services to move money and drive commerce. This is a trust that MoneyGram takes very seriously. The benefits of money transfers by MoneyGram: branching of network of the implementation of transfers across the world.