Comuvia ForeGlass™

Financial vulnerability · learning guide

Fiscal and policy buffers

Start with the US fiscal year 2019 budget. Compare annual revenue with spending, then follow debt financing, gradual interest repricing and a temporary policy response.

US-grounded education and conditional simulations. A current calibrated fragility level for this dimension is not yet estimated on ForeGlass.

United States · observed starting scales, conditional stress paths

Revenue, spending, interest and debt evolve together

A recession reduces tax receipts and may raise support payments. Government can absorb part of the private-sector shock, but the resulting financing need, interest costs, inflation and institutional constraints must be kept in view.

Households / firms → Treasury

Taxes and other revenue finance part of annual outlays.

Treasury → households / services

Transfers, benefits and public services support income and capacity.

Treasury ↔ lenders

New borrowing covers the financing gap; interest payments are an expense.

Economy → tax base

A weaker tax base can widen the deficit even without a new discretionary policy.

Country, period and measurement

Federal receipts

$3,462.2 billion over the year

US, fiscal year 2019

Treasury year-end total; fiscal year ends September 30, not December 31.Official source ↗

Federal outlays

$4,446.6 billion over the year

Same fiscal year

Includes net interest and Social Security; do not add those again to this total.Official source ↗

Debt held by the public

$16,803 billion

September 30, 2019

CBO January 2020 actual column. Excludes intragovernmental debt; this is a stock.Official source ↗

Net interest / Social Security

$376bn / $1,038bn over the year

Fiscal year 2019

Separate CBO budget categories. Social Security differs from calendar-year SSA benefits because period/accounting conventions differ.Official source ↗

What is observed?

The source cards name a country, period, unit and publication. They establish a historical scale; they do not calibrate every interaction in this example.

What is simulated?

The controls and future paths are declared assumptions. A shock window shows when the assumed disturbance acts. It is not a retrospectively identified US recession, forecast date or probability.

What can you decide?

Compare how the same shock changes with a different buffer, funding condition or policy. Use the result to identify the next evidence to collect, not to infer a current national fragility score.

Interactive macro mechanism · no recession probability

Watch pressure accumulate over time

  1. Year 0
    Observed FY2019 receipts, outlays and debt.
  2. Stress years
    Revenue weakens, support spending rises and refinancing gradually changes interest.
  3. Later years
    Revenue recovers; the higher-rate regime and accumulated debt persist.
Change one assumption, then compare the paths
2 percentage points
10 %
20 % of starting debt per year

The FY2019 starting budget collected $3,462.2 billion and spent $4,446.6 billion; public debt ended the year at $16,803 billion. In Stress year 6, net interest reaches $1036.7 billion and public debt reaches $26108.5 billion, $3058.6 billion above the model with no added shock. Even the no-shock path borrows because the starting budget already has a deficit. None of these stress years is an observed or forecast fiscal year.

FY2019 annual budget components

USD billion per fiscal year · bars share one scale within this panel

Revenue3,462
Social Security benefits1,038
Other noninterest outlays, net3,033
Net interest376

Stress year 6 annual budget components

USD billion per illustrative year · bars share one scale within this panel

Revenue3,462
Social Security benefits1,038
Other noninterest outlays, net3,033
Temporary support0
Net interest1,037

Annual revenue and spending determine the deficit

USD billion per fiscal year · conditional path

Assumed stress begins5721,8093,0464,2835,520Y0Y1Y2Y3Y4Y5Y6

Shaded: Assumed persistent rate shock; revenue shock, if selected, fades after Y3.

RevenueTotal outlaysDeficit financed by new debt
Read values as a table
Scenario periodRevenue (USD billion per fiscal year)Total outlays (USD billion per fiscal year)Deficit financed by new debt (USD billion per fiscal year)
Y03,4624,447984.4
Y13,1164,6001,484
Y23,1164,7301,615
Y33,2894,8231,534
Y43,4624,9121,450
Y53,4625,0401,578
Y63,4625,1071,645

Separate interest, existing commitments and temporary support

USD billion per fiscal year; components sum to outlays · conditional path

Assumed stress begins08341,6682,5023,336Y0Y1Y2Y3Y4Y5Y6

Shaded: Assumed persistent rate shock; revenue shock, if selected, fades after Y3.

Social Security benefit outlaysOther noninterest outlays, netTemporary support, assumedNet interest
Read values as a table
Scenario periodSocial Security benefit outlays (USD billion per fiscal year; components sum to outlays)Other noninterest outlays, net (USD billion per fiscal year; components sum to outlays)Temporary support, assumed (USD billion per fiscal year; components sum to outlays)Net interest (USD billion per fiscal year; components sum to outlays)
Y01,0383,0330376
Y11,0383,03386.6443.2
Y21,0383,03386.6573.3
Y31,0383,03343.3709
Y41,0383,0330841.2
Y51,0383,0330969.8
Y61,0383,03301,037

Deficits accumulate into public debt

USD billion at fiscal year end · conditional path

Assumed stress begins15,87218,66421,45624,24727,039Y0Y1Y2Y3Y4Y5Y6

Shaded: Assumed persistent rate shock; revenue shock, if selected, fades after Y3.

Debt under selected stressDebt with no added shock, same accounting
Read values as a table
Scenario periodDebt under selected stress (USD billion at fiscal year end)Debt with no added shock, same accounting (USD billion at fiscal year end)
Y016,80316,803
Y118,28717,787
Y219,90218,794
Y321,43619,823
Y422,88520,875
Y524,46321,950
Y626,10823,050

The original stock reprices gradually

% of original debt stock · conditional path

Assumed stress begins0285583110Y0Y1Y2Y3Y4Y5Y6

Shaded: Assumed persistent rate shock; revenue shock, if selected, fades after Y3.

Original debt now at the higher rate
Read values as a table
Scenario periodOriginal debt now at the higher rate (% of original debt stock)
Y00
Y120
Y240
Y360
Y480
Y5100
Y6100
Equations, assumptions and accounting checks
  • Y0 combines observed FY2019 federal budget flows with debt held by the public at September 30, 2019. Y1 to Y6 are successive authored stress years, not actual FY2020 onward. Treasury supplies receipts, total outlays and debt; CBO January 2020 supplies rounded net interest and Social Security benefit outlays. Other noninterest outlays are the residual, including relevant offsetting receipts.
  • The initial $376 billion net-interest flow divided by $16,803 billion end-year public debt gives a 2.238% teaching coefficient. It is not the observed Treasury coupon, average gross interest rate or marginal borrowing yield; applying it to new debt is an explicit approximation.
  • The selected share of original debt reprices at the start of each stress year, capped at 100% cumulatively. Refinancing replaces principal and is not counted as an expense. The rate shock remains in force; no repeated extra shock is added to an already repriced tranche.
  • Revenue falls by the selected amount in years 1 and 2, by half that amount in year 3, and returns to its original nominal level in years 4 to 6. Temporary support equals 25% of lost revenue. Social Security and other existing noninterest outlays stay fixed in nominal dollars.
  • Each deficit is financed fully with debt issued at year end. That debt starts accruing the model interest cost next year. Cash balances and other means of financing are fixed; actual historical changes in debt need not equal the historical deficit. No debt ceiling, market-access interruption, inflation or exchange-rate response is modeled.
  • A U.S. domestic-currency federal issuer has different options from a household or foreign-currency borrower. This path illustrates budget pressure and financing feedback, not fiscal space, a default probability, a sovereign ranking or a forecast.

Maximum annual: revenue + deficit financing - outlays: 0.00e+00; Maximum annual: closing debt - opening debt - deficit: 1.36e-12; Maximum annual: outlays minus their disjoint components: 4.55e-13; Six-year public debt roll-forward: 0.00e+00

How this becomes a macroeconomic vulnerability

Annual revenue must be visible beside annual outlays

The revenue bar and spending bars use the same dollar scale and period. Spending contains Social Security, other noninterest outlays and net interest. The difference is the budget deficit; the debt chart shows how it accumulates rather than pretending the annual deficit is the debt stock.

Distinguish automatic stabilizers from chosen interventions

Some revenue and benefit changes follow existing tax and eligibility rules; an extra support package is a separate policy choice. The experiment keeps them explicit. Social Security retirement payments support spending but are not a generic unemployment benefit. A fall in government revenue can be the counterpart of a cushion to private disposable income.

Why higher yields take time to reach the budget

An initial debt stock does not all refinance today. The scenario reprices a stated fraction gradually, while newly issued debt carries its assumed rate. The resulting interest path differs from multiplying every outstanding dollar by today’s Treasury yield.

There is no single universal fiscal safety threshold

Own-currency issuance, monetary institutions, inflation, productive capacity, foreign-currency debt and political authorization matter. Federal borrowing flexibility is not the same as a US state or municipal budget constraint. A high debt ratio alone does not calculate insolvency, and fiscal space is not unlimited merely because debt is in domestic currency.

What constrains a government's response when revenue falls or financing becomes more costly?

Public debt has a maturity and currency structure. A higher market rate affects fixed-rate debt when it is refinanced, while floating-rate debt follows its reset terms. Higher interest expense can compete with other spending or require financing. Revenue, growth, market access, monetary arrangements and policy choices jointly determine the room to respond.

  1. Some government debt matures or resets at a higher rate.
  2. Interest expense rises on the affected amount, while existing obligations still need financing.
  3. Revenue, financing access and policy institutions shape which responses remain feasible.

Synthetic teaching example · not a forecast

A rate shock reaches only the debt that reprices

Synthetic fixed-currency case: debt principal is 1,000 billion currency units, its initial interest rate is 4%, baseline annual interest is 40 billion, and annual revenue is 300 billion. Choose the share refinanced and its rate increase. The selected share is assumed to reprice at the start of a year, so the result is a full-year annualized cost. The remaining fixed-rate debt keeps its old rate; debt principal and revenue stay constant.

Change the assumptions
20 % of debt stock0 to 100 % of debt stock
2 percentage points0 to 5 percentage points

Additional annualized interest = 1,000 * (refinanced share / 100) * (rate increase in percentage points / 100). Total interest = 40 + additional interest. Interest / revenue (%) = 100 * total interest / 300.

Debt repricing and annual interest relative to revenueA government has 1000 billion currency units of debt at 4 percent and 300 billion of annual revenue. Refinancing 20 percent at a rate 2 percentage points higher adds 4 billion in annualized interest, making total interest 44 billion or 14.67 percent of revenue.Debt stock: 1,000 billion units200 refinanced; 800 keep the old rate Annual revenue: 300 billion unitsInterest after repricing: 44 (14.67%) Baseline annual interest: 40Additional annualized interest: 4 Other spending is not modeled.Unshaded revenue is not fiscal space.

200 billion of principal reprices. Additional annualized interest is 4 billion; total annual interest rises from 40 to 44 billion. That is 14.67% of the fixed 300-billion annual revenue, compared with 13.33% before the shock. This is not a measure of remaining fiscal space.

Evidence to watch

Keep each observation’s definition, date and reporting frequency. A daily page refresh does not create new daily balance-sheet data.

FactorUnitFrequency / timingHow to read it
Interest burden and revenueCurrency flows over the same period; interest / revenue (%)Monthly budget releases or quarterly/annual accountsMatch sector, fiscal or calendar period, and cash or accrual basis. A ratio of mismatched accounts is not a burden measure.
Maturity and repricing profilePrincipal by due date; share resetting within a named horizonMonthly debt statements or security-level schedulesDistinguish outstanding stock from the part exposed to a new rate. Maturity, coupon reset and new borrowing are different channels.
Financing needs and accessible liquidityCurrency needed over a defined horizon; liquid financial assetsBudget forecasts plus dated debt and cash reportsRefinancing principal adds to gross funding needs even though it is not an interest expense. Cash balances are not the whole of fiscal capacity.
Currency and institutional settingDebt shares by currency and creditor; stated policy arrangementsDebt disclosures and changes to policy institutionsForeign-currency obligations, monetary arrangements, legal constraints and the investor base change the available responses. No single debt ratio resolves them.

What this example leaves out

These mechanisms can overlap. Adding their example outputs does not produce an overall fragility score or a recession probability.

Further mechanism sources

Observed US starting values and their dates are attributed above. The smaller example uses authored numbers; all stress paths retain their own stated assumptions.

Explore the other dimensions

Return to the vulnerability overview and current market reading →