The U.S. Public Debt Valuation Puzzle
- Date Posted:
- Is Database:
- Database
The market value of outstanding US Federal debt exceeds the expected present discounted value of current and future primary surpluses by a multiple of US GDP.

Just an FYI a factoid from one of the co-authors of "Human Capitalist" that we used in chapter finds that US government debt expected returns exceeds risk free bond yields; they find this puzzling as they don't think it reflects the risks embedded in US government debt. They do not seem to incorporate the risk adverse savings glut and the related safe asset shortage as answers to their “puzzle”
".... The market value of outstanding federal government debt in the U.S. exceeds the expected present discounted value of current and future primary surpluses by a multiple of U.S. GDP. When the pricing kernel fits U.S. equity and Treasury prices and the government surpluses are consistent with U.S. post-war data, a government debt valuation puzzle emerges. Since tax revenues are pro-cyclical while government spending is counter-cyclical, the tax revenue claim has a higher short-run discount rate and a lower value than the spending claim. Since revenue and spending are co-integrated with GDP, the long-run risk discount rates of both claims are much higher than the long Treasury yield. These forces imply a negative present value of U.S. government surpluses. Convenience yields for Treasurys are much larger than previously thought and/or U.S. Treasury markets have failed to enforce the no-bubble condition....Missing government assets or market segmentation cannot resolve the puzzle either. One final “resolution” to the puzzle is to argue that there is a bubble in U.S. government debt. Indeed, our approach quantifies the bubble as the difference between the value of outstanding government debt and the value of the surplus claim. Over the post-war period, the average size of the bubble is 196% of GDP. Since 2000, the size of the bubble has tripled from 65% of GDP in 2000 to 235% of GDP in 2017. This is both because the outstanding value of government debt has doubled from about 35% to 75% of GDP and because the value of the surplus claim has fallen from-30% to-160% of GDP.The Treasury markets do not seem to enforce the transversality condition. The bond market vigilantes seem to have vanished after the 1990s...."
Zhengyang Jiang, Hanno Lustig, Stijn Van Nieuwerburgh, Mindy Z. Xiaolan, "The U.S. Public Debt Valuation Puzzle," National Bureau of Economic Research, December 2019, https://www.nber.org/papers/w26583



