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Not really true. ...
When Will Social Security Run Out?
For the Social Security Trust Fund, since 1935 until recent years, its income from FICA taxes has always exceeded its payout to retirees, resulting in a surplus of about US$2.8 trillion in the SSTF today, or US$2,800 billion or US$2,800,000,000,000.
....... The scandal is that the US government has already spent this US$2.8 trillion and left US$2.8 trillion of US Treasury Bonds or IOUs in the SSTF. This debt is part of the US$20 trillion US Federal debt. ...
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The Real Owner of the U.S. Debt Will Surprise You )
So, if the US government goes bankrupt or insolvent or credit-default, so does the SSTF.
In recent years, the payouts by the SSTF has exceeded its income from FICA taxes, resulting in the drawing down of the US$2.8 trillion surplus because more workers have retired, especially baby-boomers. If nothing is done, it is expected the US$2.8 trillion surplus in the SSTF will be zero or gone in 2035.
....... This drawing down of the SSTF will also put a heavy strain on the US government's Federal budget. Hence, there are proposals to increase the FICA taxes, the retirement age and the number of contributors.