The plan can lower the debt burden under favorable assumptions. Replacing a fixed debt-growth target with an actual budget produces a much slower decline.
Scenario results, not forecasts. This exercise tests mathematical conditions. It does not establish that the resource receipts, fiscal adjustments or AI gains are achievable.
Published target identity · year 3023.0%Debt/GDP when 2% debt growth is imposed.
Integrated primary-balance case · year 3082.7%Debt/GDP with interest and budget flows calculated.
No fiscal correction · year 30144.0%Debt/GDP with a continuing 2.6% primary deficit.
All cases start at 100% debt/GDP. Normalized GDP and debt are $32T each, not current measured balances. The main cases assume 3% real growth and 4% GDP-price inflation.
14 named scenarios / 30–50 years
Explore what changes the outcome.
Selected scenarioArticle’s 2% debt-growth target
Subtracting Fund assets creates a partial net-financial-liability measure. It does not change official debt held by the public, value unextracted resources, or measure the entire national balance sheet.
Deterministic debt-to-GDP scenarios and nominal Fund balances
Scenario
Year 10
Year 20
Year 30
Fund, year 30
Article target: enforce 2% debt growth
61.3%
37.5%
23.0%
$10.43T
Integrated central: primary balance by year 10
95.5%
89.1%
82.7%
$10.43T
Stronger discipline: 1% primary surplus by year 10
90.1%
74.4%
59.1%
$10.43T
No fiscal correction: 2.6% primary deficit
109.3%
127.2%
144.0%
$10.43T
Weaker AI: 1.8% real growth
106.8%
112.0%
117.0%
$10.43T
Higher financing cost: new yield 8.5%
107.4%
119.8%
134.6%
$10.43T
2% inflation; yields fall with inflation
102.1%
96.4%
89.3%
$10.43T
Resource shortfall: $15B annual net receipts
95.5%
89.1%
83.8%
$1.04T
Fund financed by borrowing
98.5%
93.5%
87.7%
$10.43T
AI gains arrive gradually over 10 years
100.3%
93.5%
86.9%
$10.43T
Resource receipts delayed 10 years
95.5%
89.1%
83.4%
$4.74T
Finite receipts: contributions stop after year 20
95.5%
89.1%
82.8%
$8.65T
Adverse combination
128.8%
178.3%
244.0%
$0.62T
Recession and portfolio crash in years 21–22
95.5%
89.1%
96.3%
$6.92T
The 23% result needs more than primary balance. At the central financing assumptions, enforcing 2% debt growth requires a primary surplus of 1.81% of GDP in year 1, peaking at 2.68% in year 6. The model has not identified a budget that achieves that adjustment.
Same resource receipts / different uses
Invest the receipts—or avoid more borrowing?
Year 30 · identical macroeconomic and fiscal assumptions
Allocation
Debt/GDP
(Debt − Fund)/GDP
Fund
No new receipts
83.9%
83.9%
$0.00T
Invest receipts in Fund
82.7%
78.6%
$10.43T
Use receipts to reduce borrowing
78.9%
78.9%
$0.00T
Borrow to capitalize Fund
87.7%
83.6%
$10.43T
The Fund case has more outstanding debt and a pool of financial assets. Its deterministic advantage over immediate borrowing reduction is only 0.36 percentage points of GDP in net liabilities. Its return must compensate for financing costs, fees and risk.
Nominal wealth is not purchasing power.
At year 30, the central Fund holds $10.43T nominal, equivalent to $3.21T in starting-year dollars. A $297B nominal withdrawal in that year buys about $92B at starting-year prices.
With no withdrawals and no fees, the article’s 7% accumulation example reaches $14.17T at year 30. These are different payout policies.
The payout rule needs its own test.
At 4% inflation, a 3% payout and 0.25% annual fee require at least 7.25% gross return to preserve real principal in a smooth year without new contributions.
A 7% return does not meet that threshold. Once contributions stop, real principal slowly declines; volatile returns add risk. The 3% rule here is illustrative, not proven sustainable.
The Fund lowers debt/GDP by about 1.2 points relative to no new receipts by year 30. Its remaining assets add about 4.1 points of GDP to the financial balance sheet. Fiscal policy and the growth–interest-rate relationship drive most of the debt-ratio movement.
20,000 paired synthetic paths / three policies
Test uncertainty without inventing certainty.
The shaded band is a distribution of assumed random draws, not a forecast confidence interval. Long-run growth, inflation, returns, resource receipts and interest costs vary. The same underlying shocks are applied to each policy.
Primary balance by year 10 · median and 5th–95th band1.5% primary deficit after year 10 · median
Primary balance by year 10
Median year-30 debt/GDP: 83.2%. 5th–95th percentiles: 56.8%–120.5%.
79.6% of these synthetic paths finish below the starting 100%; only 1.6% finish below 50%.
A persistent 1.5% primary deficit
Median year-30 debt/GDP: 120.5%. 5th–95th percentiles: 88.2%–166.4%.
16.7% of these draws finish below the starting ratio. These percentages are conditional sample frequencies, not real-world policy success odds.
In the paired Fund-versus-borrowing-reduction comparison, the Fund has lower net financial liabilities in 43.4% of the synthetic draws. That result depends on the assumed return distribution, fees and yield response. It is not a finding that sovereign funds have a 43.4% chance of working.
No draw reaches below 25% debt/GDP under the primary-balance policy. That does not establish impossibility; the target requires a different fiscal path.
1,296 deterministic combinations
The fiscal–interest-rate boundary.
This slice holds growth, inflation and resource assumptions fixed. Lower interest costs and stronger primary balances allow the ratio to fall further. Colors help scanning; the numbers are the results.
Year-30 debt/GDP · 3% real growth, 4% inflation, $150B receipts, other central assumptions
Primary balance by year 10 ↓ / New yield →
4.0%
4.5%
5.0%
5.5%
6.0%
6.5%
7.0%
7.5%
8.0%
8.5%
9.0%
-2.6% GDP
91%
100%
109%
120%
131%
144%
158%
174%
192%
212%
233%
-1.5% GDP
71%
79%
87%
96%
107%
118%
131%
145%
161%
179%
199%
-1.0% GDP
62%
69%
77%
86%
95%
106%
118%
132%
147%
164%
183%
-0.5% GDP
53%
60%
67%
75%
84%
94%
106%
119%
133%
149%
167%
+0.0% GDP
44%
50%
57%
65%
73%
83%
93%
106%
119%
135%
152%
+0.5% GDP
35%
41%
47%
54%
62%
71%
81%
92%
105%
120%
136%
+1.0% GDP
26%
31%
37%
43%
51%
59%
69%
79%
91%
105%
120%
+1.5% GDP
17%
22%
27%
33%
40%
47%
56%
66%
77%
90%
105%
+2.0% GDP
8%
12%
17%
22%
28%
36%
44%
53%
63%
75%
89%
Positive primary balance is a surplus; negative is a deficit. New-debt yields phase into the effective rate at 20% per year. The grid has no probability weights.
Primary deficit of 2.6% of GDP moves to balance by year 10.
$150B additional net receipts each year, invested at year end.
7% nominal gross return less a 0.25% fee.
3% of opening Fund assets withdrawn from year 21.
What is counted
Resource receipts are additional eligible cash after restoration costs and existing obligations. All are invested in the central case; the matching receipt and contribution cancel in the borrowing equation.
Returns grow the Fund. Only actual withdrawals reduce borrowing. The same return is never both spent and reinvested. Borrowing to seed the Fund creates an equal initial liability.
GDP(t) = GDP(t−1) × (1 + real growth) × (1 + price inflation)
Debt(t) = Debt(t−1) + interest − primary surplus − net resource receipts
+ Fund contribution − Fund withdrawal
Fund(t) = Fund(t−1) × (1 + gross return − fee)
+ Fund contribution − Fund withdrawal
The model checks annual consolidated cash-flow identities and reproduces the article’s fixed-debt-growth arithmetic. Those checks establish accounting consistency, not economic feasibility.
Random-draw assumptions
Seed 20260927. Long-run real growth: normal, mean 3%, standard deviation 0.5 percentage points. Long-run inflation: mean 4%, same standard deviation. Annual growth and inflation deviations: stationary standard deviations 1.5 and 0.8 points, AR(1) coefficients 0.35 and 0.55. Growth bounded at −8% to 10%, inflation at 0% to 10%.
Gross returns: lognormal, 7% arithmetic mean, 12% log volatility. Receipts: lognormal, $150B arithmetic mean, 35% log volatility. Return innovations load +0.35 on growth and −0.20 on inflation innovations; resource innovations load +0.40 on growth. Financing yields add a 0.5-point independent shock and 1 point per 100 points of debt/GDP above 100%. Primary balance adjusts by 0.4 times the cyclical growth disturbance. All distributions are assumed, not fitted. See the full methodology and code for timing and bounds.
The $150B funding assumption still needs evidence. Interior’s FY2025 report lists $14.61B in total disbursements and $5.01B to Treasury. The proposed annual contribution is about 30 times the latter. That comparison is not a future revenue ceiling, but it exposes the scale of the unproven funding assumption. Interior source.
These simulations do not establish mine economics, ecological recovery, tribal or permitting compliance, employment outcomes, AI adoption, fiscal legislation or Fund governance. They do not model detailed Treasury maturities, inflation-indexed spending, exchange rates or commodity concentration. The interest and primary-budget assumptions summarize some fiscal effects; they do not prove them.
CBO’s February 2026 outlook supplies the 2.6% starting primary-deficit reference and the 1.8% weaker-growth comparison. It is a dated projection, not a calibration of this model. Subsequent policy changes are not integrated. The Fed’s objective is 2% PCE inflation; 4% GDP-price inflation here is a distinct scenario.
2% PCE inflation objective; the simulation uses GDP-price inflation and does not presume a policy change.
Reproduce the results.
Six accounting and arithmetic checks passed. Download the complete package, extract it, install NumPy, and run python3 run_simulations.py, then python3 build_report.py from the extracted folder. The interactive charts display precomputed scenarios; changing the selectors does not change the random distributions.
Generated 27 September 2026. Original plan: dutystation.ai/out-of-debt. This analysis tests the original plan’s assumptions; it is not a forecast, investment recommendation or political endorsement.