Money transfer system MoneyGram International and the second largest bank in China - Bank of China, announced the start of service of MoneyGram at 200 offices Bank of China in Beijing. MoneyGram wired transfer implemented many changes to its technology platforms designed to prevent or detect suspicious transactions. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. MoneyGram Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.