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SUSTAINABILITY CUBE

This analysis tracks the US debt stock, the till and the book coupon on the Treasury's debt, all of which are fiscal objects. Managing these fiscal positions is the US Treasury’s problem, not the Fed’s, whose triple (yes, triple, not "dual") mandate charges them to maintain stable prices, full employment, and moderate long-term rates. In theory, the Fed manages these mandates independently, leaving the US's financing position as a task for the Treasury.

The Sustainability Cube tracks the US economy's location in national debt "sustainability space" each quarter by plotting its position on 3 axes: Interest / till ("income"), Debt held by the public / GDP, and the Refi Gap. The Danger Zone and the Restructuring Zone spaces on the Sustainability Cube are labeled milestones intended to allow the viewer to better interpret the economy's trajectory through sustainability space by providing reference points. They are not calculated tipping point thresholds — that's a separate analysis.

The color of the dot on the sustainability chart shows a simple metric for interest-burden stress. It combines four metrics into a single weighted average score: debt/GDP (20%), interest share (35%), and refinancing gap (25%)—plus an extra metric for interest/GDP (20%). Coloring this way helps communicate that a high interest share for a smaller economy isn't as severe as one for a larger economy.

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Quarter on the cube: …

Release date: …

On the plot: …

Already measured for this quarter

Inside the quarter, not the quarter print

Still waiting

The gold diamond is the f Gemini guess for the next quarter-end — not a BEA print. It is often wrong, and sometimes amusing. See the guess and its sources.

Toggle interest / tax vs interest / receipts. Tax is current tax receipts (W006RC1Q027SBEA). Receipts is NIPA current receipts (FGRECPT) — taxes plus contributions for social insurance, income on assets, and the rest of the current-receipts envelope.

00 / What the zones are saying

Danger Zone

If we're paying over one fifth of our income on interest on existing debt (interest / till > 20%), AND debt held by the public exceeds our GDP (debt held by public / GDP > 100%), AND if refinancing our debt on financial exchanges would raise the overall interest rate by more than 0.75% (Refi Gap > +75bp), all at the same time, then the US is at risk of fiscal obligations determining policy; in other words, the US might have to forgo programs that it would otherwise like to implement, cut programs that it wants, or implement policy that it otherwise would not like, all motivated by the need to service the country's debt.

Restructuring Zone

If those metrics reach or exceed the levels where interest / till > 30%, debt held by public / GDP > 140%, and Refi Gap > +100bp, all at the same time, then we're in big trouble. The US won't necessarily default, but some form of restructuring — fiscal, monetary, or contractual — becomes the thing that has to be named. Italy crossed a similar zone in the 90s and left the First Republic and the lira. Greece, Argentina, Jamaica, Ghana, Sri Lanka crossed it in 2010 and restructured their books. Japan has so far not allowed the till to get there, and neither has the postwar US.

01 / the three axes

Axis 1: Interest Share of the Till ("income")

interest / total federal receipts · interest / tax revenue. Use the toggle buttons to switch between using receipts or tax as "till" in the denominator.

Axis 1 enters the Danger Zone if annual payment on interest is a Top 5 major budget function in its own right alongside National Defense, Medicare, Health, and Social Security; in other words, about 20% (one fifth) of the government till. When interest payments approximate or exceed Social Security as the #1 largest budget function — at about 30 % interest / till — the axis enters the Restructuring Zone wherein about 5% or more of GDP would be spent on interest — well above every historical postwar US year — and a restructuring of debt and fiscal policy becomes necessary to service the obligation.

Axis 2: Debt held by the public / GDP

Debt Held by the Public / GDP

A country's GDP can be thought of in a way similar to the "creditworthiness" of an applicant seeking to take out a loan in the sense that it serves as the revenue base or capacity metric that helps quantify the country's debt-carrying capacity. Debt Held by the Public is the dollar amount of the debt that the US has already issued and owes to creditors outside the US government such as banks, institutions and other countries. This is marketable debt that must be paid back, which makes it distinct from intragovernmental debt that US government agencies owe to each other internally. Therefore, the quotient Debt Held by the Public / GDP provides a measure of how much of its debt capacity the US has already used. There is no hard maximum limit to Debt held by the public / GDP other than what "the public" (meaning, "public financial markets") are willing to accept in order to be willing to buy debt from the US Treasury.

A 2025 long term budget projection by the Congressional Budget Office (CBO) outlines how Congress could feasibly adjust spending and revenue from 2025-2055 to bring down the primary deficit, but the plan requires maintaining debt/GDP at 100%. Therefore, that level is taken to be the entry to the Danger Zone for Debt held by the public / GDP. Above 100%, the metric moves deeper inside the zone; dropping below 100% means that this metric moves toward sustainability. The Restructuring Zone was set to 140%, because at that point the metric would reach Italy/Greece-crisis levels. Countries like Japan have certainly exceeded 140% Debt held by the public / GDP, but Japan enjoys the advantage of a captive domestic bid for refinancing that the US does not share.

Axis 3: Refi Gap

marginal (market) rate - the treasury's coupon rate

Here, the name "coupon rate" is assigned to the overall interest rate that the treasury pays on its marketable debt that it owes to the public, taking into account that at any given point in time it has taken out loans having a variety of different maturity periods and interest rates. "Coupon rate" captures that overall rate.

Similarly, the marginal rate describes what the new coupon rate would be if the Treasury refinanced its debt stock by selling new debt into the market and using the income to pay off its old ones.

The Refi Gap is marginal - coupon; the difference between these rates, expressed as percent. The gap can be thought of as a measure of the cost (if gap > 0) or benefit (if gap < 0) that the Treasury realizes, in terms of interest, when it issues new debt to pay off old debt — which it does, year after year, whenever it runs at a deficit. From 1999-2001, during the Clinton "balanced budget" era, the Treasury did not run at a deficit, and in fact retired about $400 billion market-held debt. 2001 was the last fiscal year for which this was the case. Every year since, the Treasury has issued new debt to fund government operations and to pay interest on existing debt.

In the current budget process, a session that actually improves the primary deficit in the same fiscal year is usually tens of billions of dollars. The 2023 Fiscal Responsibility Act is the recent template: CBO scored about $1.5 trillion of deficit reduction over ten years, but the binding first-year cash was a discretionary cap on the order of tens of billions (House Budget cited ~$40 billion of FY2024 nondefense reduction; CBO’s two-year cap savings were about $245 billion). That is roughly 0.1–0.4% of GDP in the year the law bites — we use 0.25% of GDP as the middle of that band.

We therefore treat a refinancing roll whose first-year extra coupon equals that same amount — about 0.25% of GDP — as the level at which the auction matches what a typical Congress can legislate against it in that same year, using caps and ordinary reconciliation. On a public-debt stock near 100% of GDP, with about one-third of marketable debt due inside twelve months, that first-year cost translates to a refi gap of about +75bp. That is the entry to the Danger Zone: the year’s roll is as large as the primary improvement a typical session can actually pass.

The Restructuring Zone is a different process. “Restructuring” here means a law in the family of the Omnibus Budget Reconciliation Acts of 1990 and 1993: Congress changes statutory tax rates and the major mandatory programs (Medicare and the like), not just this year’s appropriations. CBO scored the 1993 act at about $433 billion over five years, on the order of 1% of GDP per year in that window. A standing extra coupon of that size, on a book near 100% of GDP, translates to a refi gap of about +100bp. At that point the usual annual toolkit — discretionary caps and a thin reconciliation title — cannot reach the interest account or last as long as the new coupon. The remaining instruments are the tax code and the big mandatory programs. That is the entry to the Restructuring Zone.

02 / Distance to the Danger Zone / Restructuring Zone over time

Straight-line distance, in the cube's own units, from each quarter to the nearest point on the Danger surface or the Restructuring surface. No rescaling: a point of debt/GDP counts the same as a point of the refi gap. The line rises when the quarter moves away, falls when it moves closer, is zero on the surface, and is negative inside.

03 / Description of Each Axis and its Tripwire Levels

1 · Interest / Till

Share of this quarter’s incoming cash (the “till”) already spoken for by interest on the existing book, and not available to fund the government's operations.

100 × A091RC1Q027SBEA / FGRECPT   (tax toggle: / W006RC1Q027SBEA)

Interest and the till are both NIPA SAAR so the ratio stays inside one vintage. Interest is fetched from FRED item A091RC1Q027SBEA. By default, the till is set to current receipts (FGRECPT): taxes, social-insurance contributions, income on assets, and the rest of the current-receipts envelope. That is the cash that can service the book. The buttons above the cube switch the denominator to tax receipts only (W006RC1Q027SBEA): same theory, smaller till.

The Danger Zone is 20% of receipts (25% of tax). Federal receipts run near 17% of GDP; 20% × 0.17 ≈ 3.4% of GDP of interest — the same order as OMB function 050 (national defense). 0.03 / 0.17 ≈ 18, rounded to 20.

The Restructuring Zone is 30% of receipts (40% of tax). Same map: 30% × 0.17 ≈ 5% of GDP of interest. That is past the postwar US sample and well past “the same size as defense.” It is a labeled step on that identity, not a fitted cliff.

2 · Refi Gap

The Refi Gap is the difference between the marginal rate the book would clear at if it were marked to the current Treasury curve by remaining maturity, and the coupon that the marketable stock already carries.

marginal − stock coupon

The Treasury issues new debt to pay what is already out. If the gap is positive, new issue costs more than the stock and the book’s carrying rate has to rise as it rolls. If the gap is negative, rolls cheapen the book.

Stock coupon is not constructed. It is the Treasury Fiscal Data print Average Interest Rates on U.S. Treasury Securities, row Total Marketable (v2/accounting/od/avg_interest_rates). That is the carrying rate on marketable debt only. Not NIPA interest / debt: that folds in premiums, discounts, nonmarketable issues, and intra-governmental accounts.

Marginal is constructed. Each month we take every marketable CUSIP on MSPD Table 3 (total marketable outstanding, not held-by-the-public), remaining life = maturity − record date, and collapse principal into buckets. Those weights times the CMT stand-in for that bucket:

0–1y × TB3MS + 1–3y × DGS2 + 3–7y × DGS5 + 7–10y × DGS10 + 10y+ × DGS30 + FRN × FEDFUNDS

TIPS are not in that sum. The TIPS yield we would use (DFII10) is real; the coupon we subtract is nominal. Mixing them would move the gap for a unit reason. TIPS stay in the Table 3 weights so the share is visible; the other buckets are renormalized. FRNs stay in the sum (FEDFUNDS is already nominal). Missing FRN weight is zero: the notes do not exist before 2014, and a NaN prefix is not a Table 3 hole. A month with weight in a remaining-life bucket and no CMT is blank.

3 · Debt held by the public / GDP

Reported directly by FRED, Debt Held by the Public as a percentage of GDP ( FYGFGDQ188S) provides the existing debt stock that the till and the coupon have to carry; in other words, it reflects the overall debt burden that taxpayers and the government must manage and pay interest on. This is distinct from gross federal debt ( GFDEGDQ188S), which includes intra-governmental IOUs that the government writes to itself and do not roll into the market.

If FRED has not posted that ratio for a quarter, but Debt to the Penny has debt held by the public on the quarter-end date and GDP for that quarter is already in, the nightly computes the ratio itself: that Treasury stock divided by GDP. Same arithmetic FRED uses (FYGFDPUN / GDP). Different numerator. The updates log marks that row new print. When FRED later posts FYGFGDQ188S, the log adds FRED Update and shows whether the two numbers differ.

This is the stock. The matching flow — are operations still borrowing — is primary / GDP on the Fiscal Dominance Cube. They are not two spellings of one number.

The Danger Zone for Debt held by the public / GDP is set to 100% based on a 2025 long term budget projection by the Congressional Budget Office (CBO). In that report, the CBO outlines how Congress could adjust spending and revenue from 2025-2055 to bring down the primary deficit, but it requires maintaining debt/GDP at 100%. Therefore that level is the entry to the Danger Zone for Debt held by the public / GDP. Above 100%, the metric moves deeper inside the zone; below 100%, it moves toward sustainability. The Restructuring Zone was set to 140%, because at that point the US would reach Italy/Greece-crisis levels. Countries like Japan have certainly exceeded 140% Debt held by the public / GDP, but the US does not share Japan's advantage of a captive domestic bid for refinancing.

Updates

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