On October 1, the 10-year Treasury yield reached 5.34% during intraday trading—its highest level since 2002. A narrative that has gained traction in the stock market recently suggests that if the economy grows rapidly enough, it will naturally erode the debt burden created by high interest rates. Let us test this proposition by examining the impact of a 10-basis-point (0.10%) shift—applied to both economic growth and interest rates—using the most recent data.
-Nominal GDP: $32.56 trillion (Q2, annualized)
-Real growth: 2.2% in Q2 and 2.5% in Q1, according to the third estimate released on September 30. Nominal growth is 8.5%, with a price deflator of 6.1%.
-10-year Treasury yield: Approximately 5.25%; inflation-indexed (TIPS) yield: approximately 2.9%.
-Public debt: $32.4 trillion (roughly 100% of GDP). Gross debt: $40.1 trillion.
-Average interest rate on debt: 3.475%. Annual net interest expense: approximately $1 trillion.
-Federal revenue: Approximately 17% of GDP.
-About 33% of the debt matures within 12 months; the average maturity is 71 months.
$32.56 trillion × 0.10% = $32.6 billion in additional output. A 1-percentage-point increase in growth translates to $326 billion. The portion of this that reaches the Treasury—based on the revenue share—is approximately 17%, amounting to $5.5 billion annually. If growth is 10 basis points (bps) faster each year, the effect compounds. According to the CBO’s rule, an additional 0.1 percentage point of annual growth over 10 years reduces the budget deficit by a total of $317 billion, with the annual impact reaching $65 billion by 2036.
$32.4 trillion × 0.10% = $32.4 billion in additional annual interest. For every $1 trillion of debt, 10 bps translates to $1 billion. This figure is realized once the entire debt is refinanced at the new interest rate. Refinancing occurs gradually: one-third of the debt is refinanced within a year, and the total debt is fully adjusted to the new rate over an average of six years. If the entire yield curve shifts upward by 10 bps, the cost is roughly $10 billion in the first year, rising to $32 billion once the adjustment is fully reflected. The direct share of 10-year Treasury notes is small; the Treasury issues $42 billion in new 10-year notes in February, May, August, and November, and $39 billion in reopened issues during the other eight months—totaling $480 billion annually. $480 billion × 0.10% = $0.48 billion per year. The significance of the 10-year yield lies in its role as a benchmark: long-term bonds, mortgages, and corporate debt are priced based on it. According to the CBO’s rule, if all interest rates remain 10 bps higher, the cumulative deficit over 10 years increases by $379 billion, with an annual impact of $60 billion by 2036. Equal in terms of ratios: Since the debt is equal in size to the GDP, 10 basis points (bps) of interest add 0.1 percentage points to the growth rate of the debt, while 10 bps of growth add 0.1 percentage points to the GDP growth rate. The dollar equivalents are also nearly identical: $32.4 billion versus $32.6 billion.
Unequal in terms of the treasury: The Treasury receives a 17% share of economic growth, yet it bears the full burden of interest payments. To cover the entire cost of 10 bps of interest through revenue, GDP would need to grow by 0.6%—meaning an additional 10 bps of growth sustained for six consecutive years.
Interest costs outweigh growth benefits over a 10-year horizon: An additional 10 bps of annual growth yields $317 billion in savings, whereas 10 bps of higher interest rates incur a cost of $379 billion. To offset every 1 bp of interest, economic growth would need to accelerate by approximately 1.2 bps per year.
Quick conversion: 1 bp of growth ≈ $3.3 billion in GDP (≈$0.55 billion in revenue). 1 bp of interest ≈ $3.2 billion in annual cost.
In February, the CBO projected 10-year yields at 4.1% in 2026, 4.2% in 2027, 4.3% from 2028–2031, and 4.4% thereafter. A rate of 5.25% sits, on average, 90 bps above this trajectory. Applying the CBO’s logic linearly, this gap translates to an additional deficit of approximately $3.5 trillion over 10 years (a rough estimate). To bridge this gap through growth, real economic growth would need to be about 1.1 percentage points higher annually for 10 years. The CBO’s real growth projection for 2027–2036 is 1.8%, whereas the required rate is approximately 2.9%. Treasury Secretary Bessent has suggested that if growth reaches 3%, the debt burden could be eroded through economic expansion; this threshold aligns with the calculations. The full impact of the interest burden has yet to materialize: the current average interest rate is 3.475%, while the prevailing yield curve prices the debt portfolio at roughly 4.9%. If the debt is refinanced at this level, the annual interest burden would increase by approximately $450 billion (a rough estimate). To cover this through revenue alone would require a sustained 8% growth in GDP.
A strength: Nominal growth is above 6%, outpacing the 10-year Treasury yield. In the second quarter, it reached 8.5%—exceeding the average interest rate by 5 percentage points. Over the last 12 months, gross debt has risen by $2.67 trillion, yet the debt-to-GDP ratio has remained at approximately 100%.
Weak points:
-Approximately 6 percentage points of nominal growth are attributable to inflation. With a real 10-year yield of 2.9% and real growth at 2.2%, the cost of new debt exceeds the rate of economic growth. This inflation-driven growth has also prompted action from the Federal Reserve, which raised the policy rate to a range of 3.75%–4.00% on September 16.
-The primary deficit stands at roughly 3% of GDP ($1 trillion annually). To keep the debt-to-GDP ratio stable, nominal growth must exceed the interest rate by approximately 3 percentage points. Based on the current average interest rate, this threshold is 6.7%; should the average interest rate rise to 4.9%, the required threshold climbs to 8%. The CRFB projects medium-term nominal growth at around 4% and states that a debt spiral is triggered when the interest rate on new bonds reaches 5%.
-According to a CBO analysis from September 24, if interest rates are 1 percentage point higher, public debt would reach 222% of GDP by 2056 (compared to 175% in the baseline scenario), while economic growth would weaken by 0.1 percentage points. Higher interest rates also slow down growth.
-The engine of growth is sensitive to interest rates. Capital expenditures by Alphabet, Amazon, Microsoft, Meta, Oracle, and SpaceX are projected to reach $870 billion this year (compared to $470 billion in 2025). Estimates suggest that artificial intelligence (AI) investments contribute approximately 1 percentage point to growth, with the additional growth required—roughly 1.1 percentage points—being quite close to this contribution. The underlying thesis assumes that this level of spending will continue at the same pace for a decade. High interest rates, however, make this very spending more costly.
Consequently, the "10 bps for 10 bps" logic holds true only when considering the debt-to-GDP ratio. From the perspective of the Treasury’s coffers, a 10-basis-point increase in interest rates carries about six times the weight of a 10-basis-point increase in growth; over a 10-year horizon, the impact of interest costs outweighs that of growth. For the growth thesis to remain viable, three conditions must be met: nominal growth must exceed interest rates by 3 percentage points, the primary deficit must narrow, and the Federal Reserve must successfully curb inflation to stabilize long-term yields. For the equity market, this implies a valuation model predicated on the assumption that growth driven by AI investment can persist even in a high-interest-rate environment. In simpler terms, the thesis that "growth will cover the debt incurred by high interest rates" is valid only in the context of the debt-to-GDP ratio; it does not hold up when looking at cash deficits or the absolute level of debt.