The trilogy
One argument, developed in three steps
The programme moves from a structural definition of sustainability, to the conditions under which it can reproduce through time, and finally to an observable economic mechanism through which accumulated financial claims are reconciled with the nominal economy.
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I
What is debt sustainability?
A system property
Sustainability depends on the compatibility between debt burdens, accessible resources and the mechanisms used to absorb financing gaps—not on the stock of debt in isolation.
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II
Can today's support reproduce tomorrow's?
A recursive compatibility problem
New debt can stabilise expenditure and income today while adding obligations tomorrow. Current serviceability and longer-term sustainability can therefore diverge.
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III
Where does accumulated pressure appear?
A nominal reconciliation problem
Private and public claims, present servicing burdens and nominal validation capacity must ultimately be brought into compatibility through adjustment somewhere in the system.
- Coverage
- 18 advanced economies
- Frequency
- Quarterly data
- Period
- 1999Q1–2023Q4
- Purpose
- Diagnosis and monitoring
Paper I · Structural definition
Debt Sustainability as a System Property
A Parsimonious Framework for Structural Monitoring and Resilience
Debt ratios, debt-service burdens and credit growth are useful indicators, but they do not fully explain why a given amount of debt can remain sustainable in one environment and become fragile in another.
Two economies can have similar debt ratios and nevertheless face very different risks. The income available to borrowers, the cost of servicing debt, the purposes for which credit has been used and the way financial imbalances are absorbed may differ substantially. The paper therefore treats sustainability as a property of the system through which debt is serviced, rather than simply as a characteristic of the amount outstanding.
From observed debt to structural pressure
The framework distinguishes observed indebtedness from structural pressure: how demanding the financial burden is relative to the income effectively accessible for servicing it. When that burden exceeds internally available resources, the economy enters a financing gap. Such a gap does not itself imply default or crisis. It means that the system must absorb the imbalance through refinancing, additional borrowing, expenditure adjustment or other balance-sheet responses.
How the gap is absorbed matters. Credit that supports productive activity and future income generation can strengthen repayment capacity. Refinancing that mainly perpetuates existing obligations without reinforcing the future income base may preserve short-term stability while increasing longer-term vulnerability. Similar debt paths can therefore conceal materially different sustainability conditions.
The monitoring framework
The empirical analysis translates these ideas into the Structural Debt Monitoring Framework (SDMF). Using observable macrofinancial proxies, the SDMF maps conditions into structural states, estimates the probability of transitions between them and examines their relationship with subsequent outcomes. It is an organising and monitoring framework, not a direct measure of an unobservable “true” level of sustainability.
What the evidence adds
Structural pressure contains systematic information about subsequent debt dynamics, but the relationship is not deterministic. Economies exposed to similar contemporaneous pressure can follow different paths depending on their refinancing and structural conditions. Debt accumulation and debt sustainability are related, but they are not equivalent.
A pseudo-real-time perspective
A pre-Global Financial Crisis exercise uses only information that would have been available at the time. It shows that countries with apparently comparable debt exposures could already be differentiated by the quality of the mechanisms supporting their debt, their implied future leverage dynamics and the sources of their vulnerability. The exercise does not claim that the crisis could have been predicted; it shows that meaningful differences in resilience were visible beyond headline ratios.
Implications and limits
Macrofinancial surveillance can benefit from monitoring not only how much debt exists, but how it is being sustained. Borrowing linked to income-generating activity need not carry the same implications as borrowing that primarily refinances existing pressure. Conversely, a stable debt ratio need not signal improving resilience if that stability increasingly depends on continued refinancing.
The framework does not identify causal effects, provide a universal threshold or constitute a crisis-prediction model. Its aggregate variables proxy for underlying mechanisms and cannot fully represent institutional differences. Its narrower contribution is to organise debt burdens jointly with the system through which they are financed, serviced and absorbed.
Paper II · Recursive formalisation
Debt Sustainability as a Recursive Compatibility Problem
The ability to service debt today does not necessarily imply that the same debt will remain serviceable tomorrow. Debt obligations recur, and the mechanisms used to meet current payments can alter the conditions under which future payments must be made.
The paper interprets sustainability as recursive compatibility: whether the economic and financial conditions that permit debt service today can continue to reproduce sufficiently supportive conditions in subsequent periods. Servicing withdraws resources from borrowers through interest and principal payments. When burdens become large relative to accessible resources, repayment increasingly depends on refinancing, new borrowing, liquidity drawdowns or expenditure reductions.
The stabilisation–fragility tension
New debt has an ambiguous role. Additional borrowing can support expenditure and income today, making existing obligations easier to service. At the same time, it increases the stock of claims that must be serviced later. A mechanism that stabilises current conditions can weaken future ones when income, accessible resources or productive repayment capacity do not rise sufficiently.
The framework therefore combines two dimensions: whether monetary resources circulating through the economy—including temporary support from new credit—are sufficient relative to current servicing burdens, and whether outstanding credit is sufficiently connected to productive repayment capacity. Their joint configuration can reveal hidden fragility under apparently comfortable conventional indicators, or hidden resilience under relatively high observable pressure.
Empirical assessment
The analysis translates these concepts into observable measures of debt-validation pressure and recursive compatibility, then asks whether they contain information about subsequent conditions beyond leverage and debt-service ratios. The strongest and most consistent result concerns future debt-validation pressure—the outcome most directly implied by the theory. Mismatches between servicing requirements and supportive circulation are associated with persistently higher future validation pressure.
What the evidence adds
Recursive compatibility provides diagnostic information beyond both conventional debt indicators and a broader structural benchmark. Economies with similar leverage and servicing burdens can occupy different underlying sustainability positions.
The results are also consistent with the stabilisation–fragility mechanism: debt-created expenditure can support current conditions while weakening subsequent compatibility when additional obligations are not matched by future resources. Neither current circulation nor productive repayment capacity is sufficiently informative in isolation.
Surveillance perspective
A pseudo-real-time dashboard for 2007Q4 distinguishes economies facing similar observable pressure but different recursive conditions. Again, the exercise is not a claim of crisis prediction; it illustrates how a recursive perspective could reveal differences that conventional measures alone did not capture.
The policy implication is that surveillance should consider whether the mechanisms supporting repayment are themselves sustainable through time. Financing conditions affect servicing burdens and refinancing possibilities, while credit creation and expenditure affect the circulation of resources through which existing claims are validated.
Limits
The analysis assesses structural plausibility and diagnostic value rather than causal effects or crisis forecasting. Aggregate proxies cannot directly observe every monetary flow involved in individual debt service. The evidence is also asymmetric: it is strongest for future debt-validation pressure and less uniform for broader outcomes. The framework is therefore a complement to, not a replacement for, conventional indicators.
Paper III · Nominal mechanism
Debt Sustainability as a Nominal Reconciliation Problem
Modern economies contain large stocks of private and public financial claims. These promises are expressed in nominal terms and must ultimately be serviced, refinanced, revalued, restructured or otherwise absorbed by the nominal economy.
The paper develops the concept of nominal reconciliation: the process through which outstanding claims, current payment obligations and the nominal resources available to validate them are brought into compatibility over time. Private and public debts remain institutionally different, but coexist within the same nominal economy and influence the wider conditions in which claims are valued and serviced.
Claims, burdens and validation capacity
The framework constructs two complementary measures. The first captures the stock of private and public claims relative to the economy's joint validation capacity. The second captures current private debt service and public interest payments relative to that same capacity. Reconciliation pressure is highest when the two are elevated together: neither a large stock of claims nor high current servicing costs is sufficient on its own.
Reconciliation does not mean that debt must produce consumer-price inflation, nor that nominal adjustment is unavoidable or desirable. Pressure may be absorbed through nominal income growth, asset-price changes, refinancing, deleveraging, restructuring, default, fiscal adjustment, financial repression or real growth. The empirical question is whether elevated pressure is systematically followed by adjustment somewhere in the nominal system.
Where the signal is strongest
The analysis examines developments over the following one to four years in nominal GDP, residential property prices, property prices relative to real activity, the GDP deflator and consumer prices. The interaction between outstanding claims and current servicing pressure contains meaningful forward information beyond prior growth, credit growth, servicing conditions, inflation and conventional financial-cycle measures.
Principal empirical result
The evidence is strongest for residential property prices, particularly house prices relative to real GDP. For subsequent house-price growth, the reconciliation measure adds roughly 2.6–4.7 percentage points of within-country explanatory power across the horizons considered; for house prices relative to real GDP, the increase is approximately 2.6–5.8 percentage points.
At the eight-quarter horizon, the model-implied reconciliation component amounts to about 15% of cumulative positive house-price revaluation relative to real GDP among reconciliation-active observations. This is an estimated predictive component, not a causal share of house-price growth. The corresponding magnitude is smaller for nominal GDP, reinforcing that reconciliation in this sample does not appear primarily through consumer-price inflation.
Boundary and timing
The relationship is state-dependent. An estimated lower reconciliation boundary separates configurations in which pressure has little relationship with subsequent adjustment from those in which it becomes economically and statistically meaningful. The boundary is a sample feature—not a universal threshold, crisis trigger or policy target.
Timing also matters. The strongest association appears not while pressure continues to build, but when previously accumulated pressure begins to unwind. For residential property outcomes, the relationship is substantially stronger during unwinding periods. Accumulated pressure becomes most visible in observed prices and nominal quantities as the system begins to release it.
Surveillance implications
Central banks commonly monitor private credit, sovereign debt, debt-service ratios, inflation, asset valuations and financial-cycle indicators through partly separate frameworks. The reconciliation approach suggests that additional information lies in their joint configuration. Simultaneously elevated claims and servicing burdens relative to validation capacity may create adjustment pressure that remains obscure when each element is considered separately.
This is a monitoring lens, not a mechanical policy rule. Interest rates, refinancing conditions and nominal income affect both the burden and validation sides of the system; asset values and credit conditions can themselves form part of the adjustment process.
Limits and broader conclusion
The results are predictive and mechanism-consistent rather than causal. The estimated boundary is sample-specific, and the signal in this advanced-economy sample is driven predominantly by private claims interacting with joint servicing pressure. Further identification would be required to isolate exogenous movements in claims, burdens or validation capacity.
The conclusion is not that high debt inevitably produces inflation or instability. It is that sustainability depends on the compatibility between claims accumulated in the past, payment burdens imposed today and nominal capacity available to validate them in the future. Considering those elements jointly can reveal adjustment pressure that debt stocks in isolation may miss.
Across the trilogy
Scope and interpretation
The three papers form one research programme while retaining distinct theoretical questions and empirical exercises. They do not estimate causal effects, establish universal debt thresholds, forecast crises or prescribe mechanical policy responses. Their contribution is diagnostic: a structured way to complement conventional debt metrics by examining the systems and mechanisms that sustain financial claims over time.
Research practice
Use of generative AI and AI-assisted technologies
Generative AI and AI-assisted technologies were used during the development and preparation of this work. ChatGPT was used to support editing, restructuring and reformulation of the English text, as well as the generation, cleaning, review and improvement of the R code implementing the empirical analysis. Gemini was used as an additional review of the edited text. ChatGPT, Gemini and Claude were also used sequentially for critical discussion and feedback during manuscript development and review.
These tools supported, rather than replaced, the author's judgement. The theoretical framework, research design, data selection and collection, methodological choices, empirical tests, interpretation and revision decisions remained the author's responsibility. The complete R code was reviewed, the final scripts were executed locally, the analytical outputs were independently verified, and the manuscripts were reviewed and edited as needed. The author takes full responsibility for the content of the work.