The original post makes this claim without any citation. I don't think it is correct. Recent stress-test reports on Fannie and Freddie show that, even making provisions for future bailouts in the stressed scenario, the agencies are profitable to the government. [1] Instead of costing $150 billion per year, since the agencies were nationalised they have returned $60 billion to the government.
[1] https://www.bloomberg.com/view/articles/2016-08-08/fannie-an...