Federal Reserve Economic Data

The FRED® Blog

Two tales of federal debt

Why people disagree on the level of the federal debt

There’s much disagreement on whether the federal government’s debt is too high. Here are two ways of looking at this perfectly understandable question.

The top graph shows the federal debt as a share of GDP. You want to compute such a share because the federal debt over long horizons depends on the size of the economy. There’s been a marked increase in debt in response to the past recession, and it has leveled off at about 100% of annual GDP. Some consider that high. Some consider that too high.

The bottom graph multiplies the series above by the 10-year Treasury rate. This represents how much the debt costs, as a share of GDP. Here we see the cost is remarkably low—of course, thanks to low interest rates. Note that this is an approximation, as not all debt is in 10-year Treasuries and the issue dates vary greatly in the portfolio. But including other interest rates gives the same general picture. Looking from this angle, some consider the debt to be too low.

How these graphs were created: For the top graph, search for “federal debt” and the series of it as a share of GDP should be among the top choices. For the bottom graph, use the first graph and go to the “Edit Graph” section: Add a series to the first line by searching for “10-year treasury rate” and applying formula a*b/100.

Suggested by Christian Zimmermann.

View on FRED, series used in this post: GFDEGDQ188S, GS10

They say nothing beats a home-cooked meal

Comparing price inflation of food at home and away from home

The graph shows the evolution of two price indexes: food consumed at home and food served in a restaurant. It’s striking how the price of food served to you has kept increasing, while the price of food you prepare yourself has either increased more slowly or even decreased. In fact, the difference between these prices has increased by 61% over the sample period, meaning that the ratio of restaurant food prices to home food prices is 61% higher now than it was in 1953. What do we make of this? After all, the basic ingredient for both is the same: agricultural products. The difference is that restaurant meals also include a substantial service component: Other people prepare the food and serve it to you. While agriculture has benefited from big-time productivity enhancements, the same cannot be said for the manual labor provided in a restaurant. As real wages increase, the kitchen and wait staff become more expensive more quickly than the goods they prepare and serve, which is why our restaurant bills grow more quickly than our grocery bills. To be fair, we don’t usually pay ourselves to do our own grocery shopping, cooking, serving, and dishwashing. Or, for that matter, give ourselves a 20% tip.

How this graph was created: From the CPI release table, select the two series and click “Add to Graph.”

Suggested by Christian Zimmermann.

View on FRED, series used in this post: CUSR0000SAF11, CUSR0000SEFV

Interest rates for future centenarians

Discount rates for evaluation of future values

FRED recently added high quality market bond yield curve data from the U.S. Treasury. These are interest rates computed from high-quality commercial bonds to reflect the market’s thinking about how much it’s discounting future incomes with minimal risk. The U.S. Treasury needs these measures to evaluate the current value of liabilities in pension funds. You do this properly by using various maturities—from 6 months to 100 years in 6-month intervals. This produces an interesting yield curve. We focus here on the 100-year example. Obviously, there’s no commercial bond out there with a 100-year maturity right now. The calculation intrapolates for the various maturities and in this case likely extrapolates. We’re wondering, though, how a 100-year discount rate rate could be useful for pension liability pricing, as no employee alive today would reasonably expect to receive a pension distribution a century from now. However, this can be useful for other purposes, such as evaluating the usefulness of infrastructure with long lifespans or the impact of climate change. Note also that this 100-year rate has been decreasing significantly, just as all the others have, showing that the current interest rate environment has an effect far into the future.

How this graph was created: Search for “HQM bond” and, surprisingly, the 100-year rate is among the top choices.

Suggested by Christian Zimmermann.

View on FRED, series used in this post: HQMCB100YR


Back to Top