Households / firms → Treasury
Taxes and other revenue finance part of annual outlays.
Financial vulnerability · learning guide
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
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.
Taxes and other revenue finance part of annual outlays.
Transfers, benefits and public services support income and capacity.
New borrowing covers the financing gap; interest payments are an expense.
A weaker tax base can widen the deficit even without a new discretionary policy.
Federal receipts
$3,462.2 billion over the yearUS, 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 yearSame 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 billionSeptember 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 yearFiscal year 2019
Separate CBO budget categories. Social Security differs from calendar-year SSA benefits because period/accounting conventions differ.Official source ↗The source cards name a country, period, unit and publication. They establish a historical scale; they do not calibrate every interaction in this example.
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.
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
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.
USD billion per fiscal year · bars share one scale within this panel
USD billion per illustrative year · bars share one scale within this panel
USD billion per fiscal year · conditional path
Shaded: Assumed persistent rate shock; revenue shock, if selected, fades after Y3.
| Scenario period | Revenue (USD billion per fiscal year) | Total outlays (USD billion per fiscal year) | Deficit financed by new debt (USD billion per fiscal year) |
|---|---|---|---|
| Y0 | 3,462 | 4,447 | 984.4 |
| Y1 | 3,116 | 4,600 | 1,484 |
| Y2 | 3,116 | 4,730 | 1,615 |
| Y3 | 3,289 | 4,823 | 1,534 |
| Y4 | 3,462 | 4,912 | 1,450 |
| Y5 | 3,462 | 5,040 | 1,578 |
| Y6 | 3,462 | 5,107 | 1,645 |
USD billion per fiscal year; components sum to outlays · conditional path
Shaded: Assumed persistent rate shock; revenue shock, if selected, fades after Y3.
| Scenario period | Social 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) |
|---|---|---|---|---|
| Y0 | 1,038 | 3,033 | 0 | 376 |
| Y1 | 1,038 | 3,033 | 86.6 | 443.2 |
| Y2 | 1,038 | 3,033 | 86.6 | 573.3 |
| Y3 | 1,038 | 3,033 | 43.3 | 709 |
| Y4 | 1,038 | 3,033 | 0 | 841.2 |
| Y5 | 1,038 | 3,033 | 0 | 969.8 |
| Y6 | 1,038 | 3,033 | 0 | 1,037 |
USD billion at fiscal year end · conditional path
Shaded: Assumed persistent rate shock; revenue shock, if selected, fades after Y3.
| Scenario period | Debt under selected stress (USD billion at fiscal year end) | Debt with no added shock, same accounting (USD billion at fiscal year end) |
|---|---|---|
| Y0 | 16,803 | 16,803 |
| Y1 | 18,287 | 17,787 |
| Y2 | 19,902 | 18,794 |
| Y3 | 21,436 | 19,823 |
| Y4 | 22,885 | 20,875 |
| Y5 | 24,463 | 21,950 |
| Y6 | 26,108 | 23,050 |
% of original debt stock · conditional path
Shaded: Assumed persistent rate shock; revenue shock, if selected, fades after Y3.
| Scenario period | Original debt now at the higher rate (% of original debt stock) |
|---|---|
| Y0 | 0 |
| Y1 | 20 |
| Y2 | 40 |
| Y3 | 60 |
| Y4 | 80 |
| Y5 | 100 |
| Y6 | 100 |
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
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.
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.
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.
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.
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.
Synthetic teaching example · not a forecast
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.
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.
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.
Keep each observation’s definition, date and reporting frequency. A daily page refresh does not create new daily balance-sheet data.
| Factor | Unit | Frequency / timing | How to read it |
|---|---|---|---|
| Interest burden and revenue | Currency flows over the same period; interest / revenue (%) | Monthly budget releases or quarterly/annual accounts | Match sector, fiscal or calendar period, and cash or accrual basis. A ratio of mismatched accounts is not a burden measure. |
| Maturity and repricing profile | Principal by due date; share resetting within a named horizon | Monthly debt statements or security-level schedules | Distinguish outstanding stock from the part exposed to a new rate. Maturity, coupon reset and new borrowing are different channels. |
| Financing needs and accessible liquidity | Currency needed over a defined horizon; liquid financial assets | Budget forecasts plus dated debt and cash reports | Refinancing 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 setting | Debt shares by currency and creditor; stated policy arrangements | Debt disclosures and changes to policy institutions | Foreign-currency obligations, monetary arrangements, legal constraints and the investor base change the available responses. No single debt ratio resolves them. |
These mechanisms can overlap. Adding their example outputs does not produce an overall fragility score or a recession probability.
Observed US starting values and their dates are attributed above. The smaller example uses authored numbers; all stress paths retain their own stated assumptions.
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