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. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. To 284 thousands of service points has grown global network of MoneyGram agent offices in the 2nd quarter of 2012 due to India, Spain and Africa, thus its growth was 16%. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.