Fiscal sustainability requires that government debt does not grow faster than the economy indefinitely. The fundamental intertemporal budget constraint shows that if the real interest rate exceeds the growth rate, debt-to-GDP ratios will eventually explode unless primary deficits shrink. Sustainability analysis examines whether current tax and spending policies are viable long-term or require future adjustments. Countries with high debt levels face constraints on fiscal policy and higher refinancing costs, potentially triggering crises.
From your study of Ricardian equivalence and intergenerational fiscal policy, you know that government borrowing shifts tax burdens across time and across generations. Fiscal sustainability asks the most basic version of this question: can the government keep doing what it is currently doing, or must taxes eventually rise or spending fall to prevent debt from spiraling out of control?
The starting point is the government budget constraint expressed in terms of the debt-to-GDP ratio. Let *b* denote the debt-to-GDP ratio, *r* the real interest rate on government debt, *g* the real growth rate of GDP, and *d* the primary deficit (spending minus taxes, excluding interest payments) as a share of GDP. The law of motion is approximately: Δb ≈ (r − g)·b + d. This equation reveals the critical role of the interest-growth differential (r − g). When the interest rate exceeds the growth rate, each unit of existing debt grows faster than the economy, requiring ever-larger primary surpluses just to stabilize the debt ratio. When growth exceeds the interest rate, the economy "outgrows" its debt, and even modest primary deficits can be sustained indefinitely.
Consider two concrete scenarios. Country A has a debt-to-GDP ratio of 100%, r = 5%, and g = 3%. The interest-growth differential is +2%, meaning the debt ratio automatically rises by 2 percentage points of GDP per year from interest alone. To merely stabilize the ratio, Country A must run a primary surplus of 2% of GDP every year — a significant fiscal effort requiring either higher taxes or lower spending than current levels. Country B has the same debt ratio but r = 2% and g = 4%. The differential is −2%, meaning the economy grows faster than the debt, and Country B can actually run a primary deficit of 2% of GDP while still seeing its debt ratio fall. The same debt level is sustainable or unsustainable depending entirely on the interest-growth environment.
The intertemporal budget constraint formalizes this: the present value of all future primary surpluses must equal the current stock of outstanding debt. If projected surpluses fall short — because of aging populations increasing pension and healthcare costs, or because political constraints prevent tax increases — the debt path is unsustainable. Markets may tolerate unsustainable paths for years, but eventually rising debt raises borrowing costs (increasing *r*), which worsens the interest-growth differential, which accelerates debt accumulation — a vicious cycle that can culminate in a fiscal crisis, forced austerity, or default. This is why sustainability analysis focuses not on the current debt level in isolation but on the trajectory implied by existing policies, interest rates, and growth prospects.