## _sdn1307 — Executive Summary

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### Key challenges and context
- Sovereign debt in many advanced economies rose from around 45 percent of GDP at the start of the crisis to about 74 percent of GDP by end-2012.
- Debt-to-GDP ratios are about 90 percent or higher for many G7 and a number of euro area economies; many are forecast to peak in 2013-14 at levels some 40 percent of GDP above pre-crisis levels.
- Drivers of the debt surge: automatic stabilizers, counter-cyclical fiscal policy, financial sector bail-outs, and the collapse in revenues from the Great Recession.
- Structural balances worsened by about 4 percent of GDP on average before recovering.
- Age-related spending pressures: health care spending estimated to increase by more than 3 percentage points of GDP over the next 20 years; pension spending projected to rise by over 1 percentage point of GDP over the same period.
- Growth outlook: average output growth in advanced economies projected at about 2 percent during 2013-18, compared with 3.3 percent during 1980-2007.

### Historical drivers of debt reversals — empirical findings
- Sample: 26 episodes of large debt reversals in advanced economies since the 1980s.
- Typical associations during debt-decline periods:
  - Higher growth rates, and
  - Strong primary balances (fiscal effort).
- Decomposition of annual impacts (percent of GDP):
  - Combined growth effect (real GDP growth and automatic stabilizers): reduced the debt ratio by 2 percent of GDP annually.
  - Structural primary balance: contributed −3.2 percent of GDP per year to debt reduction.
  - Interest expenditure: added more than 3 percentage points of GDP annually to the debt stock, on average.
  - Stock-flow adjustments (SFAs): increased the debt ratio by about 1 percentage point, on average.
  - Inflation: direct positive effect via higher nominal GDP reduces the debt ratio but higher inflation raises interest expenditure (Fisher effect), reducing the net impact.
- Conditional outcomes:
  - Average annual reduction in debt is 3.4 percent of GDP when growth is high and interest rates are low.
  - Average annual reductions are 1.7 and 2.4 percent of GDP, respectively, when growth is lower or interest rates are higher.
  - Periods of moderate growth (between 0 and 2 percent) and high interest rates account for 7 percent of 127 debt-reduction spells and show more gradual declines (1 percent of GDP per year).
- Success rates of fiscal consolidations in reducing debt:
  - 26 percent of consolidation spells reduce debt when growth is below the median.
  - 41 percent success rate when growth is above the median.
  - Only about one-third of consolidation attempts occur when growth is below median.

### Mechanics: growth, fiscal policy, interest rates, and SFAs (calibration and simulation highlights)
- Debt-to-GDP changes decompose into: (i) interest–GDP growth differential; (ii) primary balance; (iii) SFAs.
- Key calibrated baseline parameters (Figures 6–8 and Annex V):
  - Baseline real growth: 1.2 percent (excluding drag from risk premium).
  - Underlying real interest rate: 2 percent.
  - Starting debt-to-GDP ratio (baseline): 90 percent.
  - Maturity (average): 7 years.
  - Fiscal multiplier: 1 and persists for 4 years (state-dependent multiplier used: 1.5, peaks in t+1 and persists for 5 years in some scenarios).
  - Credibility effect: 15 basis points per 1 percent of GDP adjustment in Figures 6–7; 30 basis points per 1 percent of GDP adjustment in Figure 8.
  - Baseline primary balance (Figure 8 scenario): −1 (percent of GDP).
- Illustrative simulation results:
  - Each 1 percentage point increase/decrease in growth/interest rates reduces debt by an additional 10 percentage points over 10 years in the simulation that accounts for interactions.
  - Target example (meet a 60 percent of GDP debt target by t+10 starting from 90 percent):
    - Gradual adjustment over 5 years: total adjustment needed is 6 percent of GDP.
    - Up-front adjustment: total adjustment needed is 4.8 percent of GDP with regular multiplier and 5.3 percent of GDP with state-dependent multiplier.
  - Stronger credibility (30 bps per 1 percent of GDP) lowers interest bills and can partially offset multiplier-driven short-run debt increases.
- Long-run interactions: discretionary policy can affect potential growth via hysteresis; prolonged unemployment and skill loss can worsen structural balances.

### Tradeoffs, timing, and fiscal-design implications
- Front-loaded consolidation:
  - Achieves debt reversal sooner but entails larger up-front growth costs due to fiscal multipliers and can increase public debt in the short run.
  - Credibility effects (lower risk premiums) can ease adjustment costs but rarely fully offset short-run adverse impacts on activity.
- Gradual consolidation:
  - Spreads growth costs but requires higher primary balances later to reach the same debt objective.
  - Credibility of gradual adjustment requires embedding in a medium-term fiscal strategy supported by strong budget institutions.
- Political economy and sequencing:
  - Where sovereign market access is threatened and risk premiums are high, more ambitious adjustment may be needed, mindful of social and political cohesion limits.
  - External demand and supportive monetary policy have historically helped offset contractionary impacts of consolidation.

### Stylized facts from large historical debt-reduction episodes
- Episodes summary statistics:
  - 26 large episodes in 20 advanced economies since 1980.
  - Episodes focus on debt reductions in excess of 5 percentage points from starting debt above 50 percent of GDP.
  - Average reduction in debt across episodes: 26 percent of GDP.
  - Average starting debt: 79 percent of GDP.
  - 22 of 26 episodes resulted in debt reductions of at least 11 percent of GDP.
  - Average episode duration: 8 years.
  - Average pace of debt reduction: around 3 percentage points of GDP per year.
- Common patterns:
  - Structural primary balance contribution roughly equals the total size of debt reduction.
  - Growth often offset interest bill increases; typical growth–interest differential was close to zero.
  - Many episodes began under difficult initial conditions (high debt, modest growth, or high interest rates) and succeeded when consolidation coincided with pick-ups in growth and falling sovereign spreads.
  - Real GDP growth picked up by almost 2 percentage points in the first year of falling debt in median episode statistics.
  - Inflation generally fell during episodes and did not materially contribute to debt reduction.

### Dealing with debt when growth is low — policy options and constraints

Fiscal policy
- Trade-off:
  - With low growth, the burden of adjustment shifts to fiscal consolidation, which can depress growth and may initially raise the debt-to-GDP ratio via multipliers.
  - In moribund credit markets and near the zero lower bound, fiscal multipliers are expected to be larger.
- Pace and composition:
  - Where financing allows: conduct adjustment at a pace balancing improved structural primary balances and support for recovery.
  - Where market access is threatened: may need front-loaded adjustment to establish credibility, but excessive frontloading can be self-defeating.
  - Composition matters: protect investment and well-targeted social spending; prioritize reducing tax expenditures, fighting evasion, lowering taxation of labor relative to consumption, and increasing property taxation.
- Institutions and coordination:
  - Medium-term fiscal frameworks, fiscal rules, and fiscal councils can help anchor credibility.
  - International coordination and sequencing matter because simultaneous consolidations can amplify adverse growth impacts.

Monetary policy
- Keep policy rates low and maintain ample liquidity while inflation expectations are anchored.
- If downside risks materialize, consider further rate cuts and unconventional measures, especially near zero lower bound.
- Address broken monetary transmission where banking systems are weak.

Privatization
- Potential benefits:
  - Proceeds can be used to pay down debt; asset sales may boost productivity if well executed.
- Historical receipts examples:
  - Portugal: about 16 percent of GDP over 1996-2000.
  - Italy: 7 percent over 1997-2001.
  - Greece and Spain: about 6 percent over four-year periods.
- Constraints:
  - Foregone future receipts, modest realized proceeds so far, large public financial assets (>40 percentage points of GDP on average), many assets held by sub-national governments, and limited "salable" nonfinancial assets.
  - Current weak growth may reduce realizable revenue from asset sales.

Inflation as a debt-reduction tool
- Theoretical channels: erosion of real debt value, fiscal gains via non-indexed tax structures, seigniorage.
- Simulation for G7 under specific assumptions (full Fisher effect on newly issued debt, no growth impact from inflation):
  - Increasing inflation to 6 percent for five years would reduce average net debt ratios by less than 10 percentage points by end of the period for most countries.
  - Effect diminishes rapidly after five years as new securities are issued at higher nominal rates.
- Risks: difficulty lifting inflation in current environment; risk of fiscal dominance, unanchored expectations, reduced demand for long-tenor debt, and harm to growth.
- Empirical note: inflation was not a significant contributor to past successful debt reversals.

Structural reform to lift longer-term growth
- Evidence and simulations:
  - Structural reforms (labor, product markets, pensions) can lift growth; a large-scale package halving distance to best-practice benchmarks in euro area countries could raise GDP by 4½ percent over five years (GIMF simulation).
- Timing and complementarities:
  - Growth gains from reforms accrue slowly; lack of short-term demand support can induce hysteresis.
  - Reforms should be granular and targeted to country-specific weaknesses (e.g., labor-market duality, competitiveness, labor participation, services-sector barriers).

### Policy conclusions and guidance
- Context:
  - Public debt near secular highs; weak medium-term growth; monetary policy often at or near the lower bound; limited scope for inflation or privatization to markedly reduce debt.
- Core implications:
  - The primary burden of lowering debt will fall on fiscal consolidation.
  - Consolidation reduces demand and can raise short-term debt ratios via multipliers; up-front consolidations can reduce risk premiums faster but may impose larger output losses.
  - Credibility and political capacity to sustain consolidation are critical; credibility effects only partially offset short-term costs.
- Country-specific recommendations:
  - Countries with good market access: consolidate gradually within a credible medium-term framework supported by strong budget institutions to minimize growth harm, especially when multipliers are large.
  - Countries with weaker fiscal accounts and high sovereign rates: pursue more ambitious consolidation while being mindful of social and political cohesion constraints.
  - Across all cases: design adjustment in structural terms, protect high-return public investment and targeted social programs, and pursue selected structural reforms to raise medium-term growth potential and durably reduce debt-to-GDP ratios.

### Annexes and technical material (high-level)
- Annex I: Changes in the Debt-to-GDP Ratio — year-by-year changes for advanced economies (1980–2012).
- Annex II: Country samples used in the analysis — list of included advanced economies.
- Annex III: Catalogue of major debt reduction episodes since 1980.
- Annex IV: Episode-level data linking structural primary balance, interest-growth differential, effective real interest rate, real GDP growth, nominal effective interest rate, and CPI inflation.
- Annex V: Illustrative framework for the debt dynamics equation — baseline framework, policy scenarios, debt dynamics, and calibration (key baseline calibrations reiterated above).

*Source: Executive Summary, _sdn1307.*

### Executive Summary ......................................................................................................

### Executive Summary

### I. Public Debt in Advanced Economies: The Scale of the Problem
- Section addresses the magnitude of public debt challenges in advanced economies.
- Associated figure: "Figure 1. Developments in Gross Debt and Structural Balance in Advanced Economies."
- Associated table: "Table 1. Main Macroeconomic Indicators for Selected Advanced Economies."

### II. The Economics of Debt Reversals
- A. First Cut: A Look at What Drives the Debt Ratio
  - Examines drivers of the debt ratio.
  - Associated figure: "Figure 2. Density of Debt Changes Conditional on Macroeconomic Variables."
- B. The Mechanics: Growth, Fiscal Policy, and Interest Rates
  - Analyzes the mechanics linking growth, fiscal policy, and interest rates to debt dynamics.
  - Associated figures: "Figure 3. Contribution to Annual Debt Ratio Reductions" and "Figure 4. Debt Ratio Changes Conditional on Growth and Interest Rates."
- C. Tradeoffs
  - Discusses tradeoffs relevant to debt reversal strategies.
  - Associated figures: "Figure 5. Debt Ratio and Economy" and "Figure 6. Factors Driving Debt Reversals."

### III. Large Debt Reversals in the Past
- Documents historical large debt reductions and their components.
- Associated figures: "Figure 7. Growth and Primary Balance Paths for Achieving a Given Debt Reduction," "Figure 8. Debt Reversals with Credibility Effects," "Figure 9. Components of Major Debt Reductions in Advanced Economies Since 1980," and "Figure 10. Real GDP Growth, Structural Primary Balance, and Size of Initial Debt."
- Annexes relevant to this section include: "III. Major Debt Reduction Episodes in Advanced Economies Since 1980."

### IV. Dealing with Debt when Growth is Low
- A. Fiscal Policy
  - Considers fiscal policy options when growth is low.
- B. Monetary Policy
  - Addresses the role of monetary policy in low-growth debt scenarios.
- C. Privatization
  - Examines privatization as a tool for debt reduction.
- D. Inflation
  - Discusses inflation-related considerations for debt reduction.
- E. Structural Reform to Lift Longer-Term Growth
  - Explores structural reforms to enhance long-term growth prospects.
- Associated figures: "Figure 11. Size of Debt Reduction vs. Initial Levels of Key Variables," "Figure 12. Evolution of Key Variables tThrough Deficit Reduction Episode," and "Figure 13. Evolution of Key Variables in Subsamples."

### V. Conclusions
- Presents concluding material synthesizing findings and policy implications.

Annexes and Technical Material
- Annex I. Changes in the Debt-to-GDP Ratio
- Annex II. Country Samples Used in the Analysis
- Annex IV. Relationship Between Primary Balance, Debt-to-GDP Ratio, and Growth
- Annex V. Illustrative Framework for Debt Dynamics Equation

Key listings included in the content unit
- Table 1. Main Macroeconomic Indicators for Selected Advanced Economies
- Figures 1–13 as listed in the document contents

*Source: Executive Summary, _sdn1307.*

### EXECUTIVE SUMMARY

### _sdn1307 - EXECUTIVE SUMMARY

### Key challenges and context
- Sovereign debt is approaching historical highs in many advanced economies.
- Median debt-to-GDP ratio in advanced economies rose from around 45 percent at the start of the crisis to about 74 percent by the end of 2012.
- Debt-to-GDP ratios are about 90 percent or higher for many G7 economies and a number of euro area economies; debt ratios in these countries are forecast to peak in 2013-14 at levels some 40 percent of GDP above their pre-crisis levels.
- The debt surge largely reflects automatic stabilizers, counter-cyclical fiscal policy, financial sector bail-outs, and the collapse in revenues from the Great Recession.
- Structural balances in advanced economies worsened by about 4 percent of GDP on average before recovering.
- Age-related spending pressures: age-related health care spending in advanced economies is estimated to increase by more than 3 percentage points of GDP over the next 20 years; pension spending is projected to rise by over 1 percentage point of GDP during the same period.
- Growth outlook: average output growth in advanced economies is projected to be about 2 percent during the 2013-18 period, compared with 3.3 percent during 1980-2007.

### Historical drivers of debt reversals (empirical findings)
- Analysis of 26 episodes of large debt reversals in advanced economies since the 1980s and other empirical evidence indicate that periods of decreasing debt were often associated with:
  - Higher growth rates, and
  - Strong primary balances (fiscal effort).
- Decomposition findings for debt-reduction spells (annual impacts, percent of GDP):
  - Combined growth effect (real GDP growth and automatic stabilizers): reduced the debt ratio by 2 percent of GDP annually.
  - Structural primary balance: contributed to a debt reduction of 3.2 percent of GDP per year.
  - Interest expenditure: added more than 3 percentage points of GDP annually to the debt stock, on average.
  - Stock-flow adjustments (SFAs): increased the debt ratio by about 1 percentage point, on average.
  - Inflation: direct effect via higher nominal GDP reduced the debt ratio, but higher inflation also raises interest expenditure (Fisher effect), reducing the net impact.
- Density and conditional analyses show:
  - Debt declines are associated with higher primary balances and higher growth.
  - Inflation and real interest rates show less clear-cut differences in debt-change distributions.
- On average, debt reductions tend to be larger when growth rates are high and interest rates are low:
  - Average annual reduction in debt is 3.4 percent of GDP when growth is high and interest rates are low.
  - Average annual reductions are 1.7 and 2.4 percent of GDP, respectively, when growth is lower or interest rates are higher.
  - Periods of moderate growth (between 0 and 2 percent) and high interest rates account for only 7 percent of 127 debt reduction spells and show more gradual declines (1 percent of GDP per year).
- Success rates of fiscal consolidations in reducing debt:
  - Only 26 percent of consolidation spells are successful in reducing debt levels when growth is below median.
  - When growth is above median, success rate rises to 41 percent.
  - Fewer consolidation attempts occur when growth is below the median (only about one-third of consolidations take place when growth is below median).

### Trade-offs, timing, and fiscal design
- Front-loaded consolidations:
  - Can increase public debt in the short run because fiscal multipliers reduce economic activity and hence GDP.
  - May reduce overall magnitude of adjustment needed over time but can lead to greater output loss than gradual consolidation.
  - Credibility effects (lower risk premiums) can ease adjustment costs but are unlikely to fully offset short-run adverse impacts on activity.
- Fiscal policies and growth are interdependent:
  - Growth affects the primary balance through automatic stabilizers.
  - Fiscal multipliers link fiscal balance changes back to growth.
  - Fiscal effort can affect interest rates, with knock-on effects on growth and debt dynamics.
  - Growth environment also influences the political economy of fiscal consolidation.
- Policy design principles:
  - Debt reductions will require sustained commitment to fiscal consolidation and careful design.
  - Pace of fiscal consolidation is critical; acting to mitigate short-run growth impact is important.
  - A gradual pace of fiscal adjustment will be credible only if embedded in a medium-term fiscal consolidation strategy buttressed by strong budget institutions.
  - Growth-enhancing measures, such as structural reforms, are important to improve medium-term growth potential and reduce the debt ratio durably.
  - Where fiscal accounts are weaker and sovereign interest rates are higher, the pace of adjustment must be more ambitious, mindful of social and political cohesion limits beyond which adjustment can be counterproductive.

### Lessons from successful historical reversals and constraints on alternatives
- Some successful historical debt reversals began under adverse conditions (high debt, high interest rates, low growth); typical growth-interest rate differential was close to zero in these cases.
- Supportive external demand and monetary policy helped offset contractionary impacts of initial large fiscal adjustments in successful episodes; reductions in debt-to-GDP ratios typically coincided with pick-ups in growth and continued fiscal effort (high primary surpluses).
- Other options to reduce debt are limited:
  - Privatizations and asset sales remain challenging given weak growth outlook and many assets held by local authorities.
  - Reducing debt via higher inflation may be unavailable and carries significant risks.

### Organization of the paper
- The paper is organized in five main sections:
  - Section I: the scale of the problem (unprecedented in peacetime).
  - Section II: the economics of debt reversals, decomposition and trade-offs.
  - Section III: analysis of large debt reversals in the past.
  - Section IV: policy alternatives to support fiscal adjustment.
  - Section V: conclusions.

*Source: EXECUTIVE SUMMARY, _sdn1307*

### 2.4 ppt

### 2.4 ppt

### High Real Interest Rate
- Structural primary balance: 2.4 ppt
- Growth: -3.3 ppt
- Inflation: 28%
- Stock flow adjustment: -1.2 ppt
- Interest expenditure: -1.4 ppt
- Debt ratio change: 0.4 ppt
- Other figure: 4.1 ppt
- Axis scale shown: -12, -10, -8, -6, -4, -2, 0 percent of GDP

### Moderate Growth
- Structural primary balance: 1.0 ppt
- Growth: -3.7 ppt
- Inflation: 7%
- Stock flow adjustment: -3.4 ppt
- Interest expenditure: -4.9 ppt
- Debt ratio change: 3.2 ppt
- Other figure: 8.1 ppt
- Axis scale shown: -12, -10, -8, -6, -4, -2, 0 percent of GDP

### Low Real Interest Rate
- Structural primary balance: -3.4 ppt
- Growth: 3.4 ppt
- Inflation: -3.4 ppt
- Stock flow adjustment: 34%
- Interest expenditure: -2.5 ppt
- Debt ratio change: -1.5 ppt
- Other figure: 0.9 ppt
- Axis scale shown: -12, -10, -8, -6, -4, -2, 0 percent of GDP

### Additional scenario / figures (unnamed)
- Structural primary balance: 1.7 ppt
- Growth: -2.9 ppt
- Inflation: 31%
- Stock flow adjustment: -1.7 ppt
- Interest expenditure: -1.3 ppt
- Debt ratio change: 1.1 ppt

*Source: _sdn1307 - 2.4 ppt*

### 3.1 ppt

### 3.1 ppt

### The mechanics: growth, fiscal policy, and interest rates
- Changes in the debt-to-GDP ratio decompose into three interacting factors: (i) the interest–GDP growth rate differential; (ii) the primary balance; and (iii) SFAs (stock-flow adjustments).
- Key interactions and effects:
  - Fiscal consolidation improves the primary balance and directly lowers borrowing needs and debt.
  - Lower government spending and higher taxes tend to have a negative effect on growth (the fiscal multiplier), which can increase the debt-to-GDP ratio in the short run.
  - Any change in GDP affects the fiscal deficit through automatic stabilizers, eroding some of the fiscal effort.
  - Improving public finances can lower interest rates, which further improves the budget balance and can stimulate GDP, reducing the debt-to-GDP ratio.
  - SFAs affect gross debt: privatization proceeds used to repay debt lower debt-service costs; currency depreciations raise the burden of foreign currency debt; bank recapitalizations increase debt. SFAs tend to be debt-increasing when growth is weak and debt-decreasing when growth is strong.
- Simulation and calibration highlights (Figure 6 assumptions and outcomes):
  - Baseline real growth: 1.2 percent (excluding drag from risk premium).
  - Underlying interest rate: 2 percent.
  - Starting debt-to-GDP ratio: 90 percent.
  - Maturity (average): 7 years.
  - Fiscal multiplier: 1 and persists for 4 years.
  - Credibility effect: 15 bps per 1 percent of GDP adjustment.
  - Structural primary balance adjusted by 2 percent of GDP in t and 1 percent more in t+1.
  - Higher growth and lower interest scenarios increase/decrease baseline rates by 1 percentage point respectively.
  - Illustrative result: in the simulation that takes into account interactions, each 1 percentage point increase/decrease in growth/interest rates reduces debt by an additional 10 percentage points over 10 years.
- Long-run interactions:
  - Discretionary policy can affect long-run potential growth via hysteresis (e.g., prolonged unemployment leading to skill loss and lower productivity), potentially worsening structural balances even without new discretionary policy.

### Tradeoffs: timing of fiscal adjustment, multipliers, and credibility
- Frontloading versus gradual consolidation:
  - Frontloading achieves a given debt reversal sooner but entails larger up-front growth costs because of the multiplier.
  - A gradual approach spreads the growth cost but requires higher primary balances later to meet the same debt objective.
  - When multipliers are state-dependent (higher in deep recessions), the up-front strategy has larger short-term output losses and risk of tipping the economy into recession.
- Numeric assumptions and scenarios (Figure 7):
  - Baseline real growth: 1.2 percent (excluding drag from risk premium).
  - Underlying interest rate: 2 percent.
  - Starting debt-to-GDP ratio: 90 percent.
  - Maturity (average): 7 years.
  - Fiscal multiplier (regular): 1 and persists for 4 years.
  - Credibility effect: 15 bps per 1 percent of GDP adjustment.
  - Fiscal multiplier (state-dependent): 1.5, peaks in t+1 and persists for 5 years.
  - Target: meet a 60 percent of GDP debt target by t+10. Under assumptions:
    - Gradual adjustment over 5 years: total adjustment needed is 6 percent of GDP.
    - Up-front adjustment: total adjustment needed is 4.8 percent of GDP with regular multiplier and 5.3 percent of GDP with state-dependent multiplier.
- Credibility effects can offset multiplier costs:
  - Stronger credibility (risk-premium reductions) lowers interest bills and can stimulate private-sector activity, helping to reduce debt faster.
  - Figure 8 scenario assumptions:
    - Baseline real growth: 1.2 percent (excl. drag from risk premium).
    - Underlying interest rate: 2 percent.
    - Starting debt-to-GDP ratio: 130 percent (closer to D_max of 170).
    - Maturity (average): 7 years.
    - Fiscal multiplier: 1 and persists for 4 years.
    - Credibility effect: 30 bps per 1 percent of GDP adjustment.
    - Baseline primary balance: -1.
    - Structural primary balance adjusted by 2 percent of GDP in t and another 1 percent of GDP in t+1.
  - In that scenario, credibility effects drive higher growth and faster debt reduction, partially offsetting the initial multiplier-driven debt increase.

### Large debt reversals in the past: stylized facts and drivers
- Episodes and summary statistics:
  - Since 1980, a total of 26 large debt reduction episodes occurred in 20 advanced economies.
  - Episodes focus on reductions in the debt-to-GDP ratio in excess of 5 percentage points, from debt levels that started above 50 percent of GDP.
  - Average reduction in debt across these episodes: 26 percent of GDP.
  - Average starting debt: 79 percent of GDP.
  - Out of 26 episodes, 22 resulted in debt reductions of at least 11 percent of GDP.
  - Average episode duration: 8 years.
  - Shortest episode: New Zealand’s in 1986-88.
  - Longest episode: Ireland’s in 1987-2007 (growth averaged 5.7 percent).
  - Average pace of debt reduction: around 3 percentage points of GDP per year.
- Common patterns and drivers (Figures 9–12):
  - The average contribution of the structural primary balance was about equal to the total size of debt reduction.
  - Growth largely offset the debt-increasing contribution of the interest bill; the typical growth–interest rate differential was close to zero.
  - High structural primary surpluses occurred during periods of both high and low growth; visible correlation suggests countries sometimes generated higher primary surpluses when the economic environment was weaker.
  - Most episodes started with difficult initial conditions:
    - Example cluster (1989–2007): seven economies achieved debt reductions averaging about 40 percent of GDP from average initial debt of 90 percent of GDP and average growth of 0.3 percent.
    - Italy (1994–2003) reduced debt by 18 percentage points from 122 percent of GDP with modest growth (0.7 percent in three years prior; 1½ percent during reduction).
- Typical pre-conditions and sequence through episodes (Figure 12 medians):
  - External demand improved and REER often depreciated in the three years before debt began to fall; export value growth rose (median export value growth remained around 10 percent until t+2).
  - Falling short-term rates and later long-term rates suggest supportive monetary policy, with short-term rates falling from higher levels (not constrained by the zero lower bound).
  - Real GDP growth picked up by almost 2 percentage points in the first year of falling debt.
  - Fiscal effort (structural primary balance) strengthened as growth picked up; structural primary balances improved significantly in t and continued strengthening as debt fell.
  - Inflation generally fell during episodes and did not contribute to debt reduction.
- Implication: Large debt reversals can be achieved even when initial conditions are difficult, particularly when fiscal consolidation is complemented by supportive external demand, falling interest rates, and credibility effects that lower sovereign risk premiums.

*Source: IMF World Economic Outlook; and IMF staff calculations.*

### part in reducing the size of the fiscal multiplier. Moreover, a reasonable argument can be made

### IV.   DEALING WITH DEBT WHEN GROWTH IS LOW

### Subsample findings from past debt-reduction episodes
- Sample: 26 past successful public debt reduction episodes.
- EMU convergence and Maastricht criteria:
  - Seven out of the 26 sampled debt reduction episodes occurred in the run-up to the EMU accession (Belgium, Cyprus, Greece, Italy, Netherlands, Portugal, and Spain).
  - Future euro area members saw a somewhat earlier and more pronounced drop in long-term rates than others, but rates also dropped during the other debt reduction episodes in the sample.
- Durable debt reductions:
  - This refers to episodes with more than 5 years of falling debt.
  - Stylized facts for the full sample hold for more durable episodes and for debt reductions in large economies.
  - For more durable debt-reduction episodes, there is a more pronounced impact on growth from the large consolidation at the start of the episode, which coincides with a temporary drop in export growth.
- Large economies (nominal GDP > US$ 500 billion):
  - Fiscal consolidation (improvement in structural primary balance) starts from a lower base than elsewhere.
  - The pattern of growth and debt largely follows the one in the full sample.
  - The growth in external demand before the debt peak is larger than for the entire sample.
- Broad empirical note: real long-term interest rates decreased especially in EMU convergers; long debt reduction episodes showed developments broadly similar to shorter episodes; consolidation started from a lower base in large economies, but a stronger offset from exports helped.

### Fiscal policy
- Key trade-off:
  - In the absence of growth, the burden of adjustment shifts to fiscal consolidation.
  - Fiscal consolidation can hurt growth and may initially increase the debt-to-GDP ratio because of fiscal multiplier effects.
  - Given moribund credit markets, the zero lower bound on nominal interest rates, and a sizable output gap, fiscal multipliers are expected to be larger than in more normal times.
- Pace of adjustment:
  - If multipliers are large, getting the pace of fiscal adjustment right is critical.
  - Where financing allows: conduct adjustment at a pace that balances improving structural primary balances against not undermining the recovery.
  - Where sovereign market access is threatened and risk premiums are prohibitive: may need front-loaded adjustment to establish credibility, but excessive frontloading can be “self-defeating.”
  - Judgments about excessive frontloading are often uncertain due to uncertainty about market access thresholds and possible multiple equilibria.
- Institutional frameworks:
  - Strong fiscal institutional frameworks can help anchor credibility.
  - Institutional arrangements cited: medium-term fiscal frameworks, fiscal responsibility laws, fiscal rules, fiscal councils.
  - Example: institutional strengthening in the European Union under the “Fiscal Compact” and the “six pack” can help anchor medium-term fiscal credibility.
- Composition of adjustment:
  - On expenditures: cutting investment spending or support for the most vulnerable will hurt growth prospects more than reducing non-targeted social spending and subsidies.
  - On revenues: need to reduce tax expenditure, fight evasion, reduce the taxation of labor with respect to consumption, and increase property taxation (Cottarelli and Jaramillo, 2012).
- International coordination:
  - External demand helped during past debt-reduction episodes; simultaneous consolidation across many advanced economies tends to amplify adverse effects on growth, suggesting sequencing and coordination to reduce fiscal multipliers.

### Monetary policy
- With public deleveraging, monetary policy should remain accommodative, considering country conditions.
- Actions recommended:
  - Keep policy rates at low levels and maintain ample liquidity while inflation expectations remain well-anchored.
  - If downside risks materialize, consider further rate reductions and additional unconventional measures, especially where policy rates are near the zero lower bound.
  - Address broken monetary policy transmission (e.g., due to weak banking systems) where present.

### Privatization
- Channels through which privatization can lower public debt:
  - Sale of government assets may boost overall productivity, raising potential growth if properly executed.
  - Proceeds from privatization can be used to pay down debt, affecting public debt dynamics.
- Past receipts (examples):
  - Portugal collected about 16 percent of GDP in privatization revenue over 1996-2000.
  - Italy collected 7 percent over 1997-2001.
  - Greece and Spain each collected about 6 percent over four-year periods.
- Caveats and constraints:
  - Revenue loss from selling assets (foregone receipts from asset ownership) must be considered for long-term fiscal impact.
  - Receipts and savings from sales and management of nonfinancial assets have been rather small so far.
  - Public financial assets remain quite large in advanced economies: more than 40 percentage points of GDP on average, half of that in the form of shares and equities.
  - Most equity holdings are held by sub-national governments that may lack incentives to sell assets (e.g., due to relatively low levels of debt).
  - Majority of public nonfinancial assets (land and buildings) is owned by regional and local governments and may be difficult to monetize.
  - In the current economic climate, asset liquidation may not yield the same revenue as in the past.
  - Only a very small share of nonfinancial assets is considered by authorities to be “salable.”

### Inflation as a debt-reduction tool
- Theoretical effects:
  - Higher inflation can affect the primary balance (e.g., via non-indexed progressive income tax brackets).
  - Governments can capture real resources via base money creation, but scope for raising seigniorage is limited by the small size of base money.
  - Largest impact would be from eroding the real value of debt.
- Simulation result for G7 under specified assumptions:
  - Assumptions: constant debt maturity structure, no impact of inflation on economic growth, one-for-one adjustment of nominal interest rates on newly issued debt to inflation (full Fisher effect), and full interest rate response to higher inflation.
  - A hypothetical increase in inflation from WEO baseline levels to 6 percent for five years would reduce the average net debt ratio by less than 10 percentage points by the end of the period, for most countries.
  - The effect drops rapidly after five years as more securities are issued at higher interest rates.
- Risks and practical challenges:
  - It may be difficult to lift inflation to a meaningful level in the current environment (Japan’s experience cited).
  - Reliance on inflation could lead to fiscal dominance and unanchored inflation expectations, undermining monetary credibility and potentially reducing demand for long-tenor debt and harming growth.
- Empirical note: inflation has not been a significant contributor to past debt reversals.

### Structural reform to lift longer-term growth
- Evidence:
  - Barkbu, Rahman, and Valdés (2012) survey evidence that structural reforms can lift growth.
- Simulation using GIMF:
  - A combination of large-scale labor, product market, and pension reforms that halve the distance of all euro area countries to best-practice benchmarks can increase GDP by 4½ percent over a five-year horizon.
- Timing and complementarities:
  - Beneficial growth effects of structural reforms accumulate slowly.
  - Lack of short-term demand support (monetary or fiscal) can have long-run negative effects (e.g., hysteresis in labor markets).
  - Reforms need to be granular and target particular weaknesses (examples for Europe: tackle labor market duality and weak competitiveness in the South; address obstacles to higher labor participation and a more vibrant services sector in the North).

### Conclusions and policy guidance
- Context and challenges:
  - Many advanced economies face significant challenges reducing public debt as public debt approaches secular highs and the medium-term growth outlook is weak.
  - Successful past debt reversals often started under adverse conditions, with output growth and fiscal policy being main drivers.
  - Current constraints: monetary policy at or near the lower bound; weak medium-term growth outlook; limited upside from higher inflation; privatization requires careful planning and realism.
- Implications:
  - The burden of lowering debt levels will fall more squarely on fiscal consolidation.
  - Fiscal consolidation reduces demand and can further lower short-term growth because of fiscal multipliers; the debt ratio may increase initially.
  - Up-front consolidations can reduce risk premiums more quickly—especially when debt levels and required adjustment magnitudes are large—but can cause greater output losses than gradual efforts.
  - Political capacity to sustain consolidation matters for success; credibility effects provide only partial offsets to short-run pain.
- Policy recommendations:
  - For countries with good financial market access: consolidate gradually with a credible medium-term strategy, buttressed by strong budget institutions, to minimize adverse growth impacts—particularly when multipliers vary over time.
  - For countries with weaker fiscal accounts and higher sovereign rates: the pace of consolidation must be more ambitious.
  - Plan adjustment in structural terms to avoid procyclical tightening that comes from focusing on headline deficits.
  - Use pre-agreed fiscal measures that protect the most vulnerable and safeguard programs with strong positive growth effects (e.g., high-return infrastructure projects, key active labor market policies).
  - Implement selected structural reforms (e.g., labor market reforms) to improve medium-term growth potential and durably lower the debt-to-GDP ratio.

*Source: IMF staff calculations and analysis in "Dealing with Debt When Growth Is Low."*

### Annex 1. Changes in the Debt-to-GDP Ratio

### Annex 1. Changes in the Debt-to-GDP Ratio

### Annex Tables I.a and I.b — Year-by-year changes in debt ratios
- Annex Table I.a and I.b present annual changes in the debt-to-GDP ratio for advanced-economy countries from 1980 through 2012 (year columns: 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012).
- Table layout and coding:
  - Pink cells indicate a debt increase; green cells indicate a debt decrease.
  - Red border denotes consolidation episodes (ΔSPB>5) in Table I.a and narrative consolidation classification in Table I.b.
- Source attribution in tables: WEO, Abbas et al. (2010) for Table I.a; WEO, Abbas et al. (2010), Devries et al. (2011) for Table I.b.

### Annex II — Country samples used in the analysis
- Country samples listed by category (Euro Area, Other Advanced, Full Sample, Main Episodes, Long Episodes, Large Countries).
- Country list includes: Australia, Austria, Belgium, Canada, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hong Kong SAR, Iceland, Ireland, Israel, Italy, Japan, Korea, Netherlands, New Zealand, Norway, Portugal, Slovak Republic, Slovenia, Spain, Sweden, Switzerland, United Kingdom, United States.
- Source: Fund staff.

### Annex III and IV — Major debt reduction episodes and relationships
- Annex III: Catalogue of major debt reduction episodes in advanced economies since 1980 (Fund staff calculations).
- Annex IV presents episode-level data linking structural primary balance, interest-growth differential, effective real interest rate, real GDP growth rate, nominal effective interest rate, and CPI inflation for specific episodes. Examples (episode label, years, debt change and associated averages shown as “Average level observed over episode (percentage points)”):
  - GRC 2000-03: 36 (104→98) — Structural primary balance 2.0; Interest-growth differential 0.9; Real effective interest rate -2.6; Real GDP growth rate 2.0; Nominal effective interest rate 4.5; CPI inflation 5.6; (other numbers presented in table).
  - JPN 1984-91: 76 (74→67) — Structural primary balance 0.9; Interest-growth differential 4.2; Real effective interest rate -2.4; Real GDP growth rate 2.9; Nominal effective interest rate 5.4; CPI inflation 5.3; Real GDP growth 2.3.
  - Additional episodes shown for AUT, NLD, PRT, DNK, GBR, NZL, FIN, USA, ITA, ISR, SWE, CYP, CHE, ESP, ISL, CAN, BEL, DNK, ISR, IRE and aggregated statistics:
    - Simple avg.: 826 (79→53) — Structural primary balance 3.2; Interest-growth differential 3.1; Real effective interest rate -0.6; Real GDP growth rate 3.0; Nominal effective interest rate 3.5; CPI inflation 6.2; (episode length and median also reported).
    - Median: 7 25 (72→49) — Structural primary balance 3.0; Interest-growth differential 3.0; Real effective interest rate 0.0; Real GDP growth rate 3.0; Nominal effective interest rate 4.0; CPI inflation 6.0; Median episode length 2.0 years.
- Density figures compare distributions of 4-year debt changes and cumulative 4-year structural primary balances conditional on macro variables:
  - Densities of debt changes are similar when conditioning on overall primary balance or its structural component.
  - Higher structural primary balances are associated with higher potential growth but not higher cyclical growth.

### Annex V — Illustrative framework for the debt dynamics equation

A. Baseline framework — structure and key components
- Purpose: show interactions between fiscal consolidation efforts, growth, inflation, and interest rates in the dynamic debt equation.
- Output:
  - Output evolves with potential growth; deviations arise from fiscal shocks and risk-premium effects.
  - Potential output growth (baseline calibration) set at 1.2 percent.
  - Interest-rate elasticity of output parameter set to -0.2 (term denoted in equations).
- Interest rates:
  - Nominal rate comprises underlying (equilibrium) rate and a risk premium; Fisher effect assumed in baseline but frictions allowed in scenarios.
  - Risk premium baseline functional form is non-linear in the debt-to-GDP ratio.
- Inflation:
  - Driven by an underlying trend rate; framework allows one-off inflationary shocks.
- Fiscal policy:
  - Government nominal revenue: revenue evolves with an exogenously chosen revenue ratio; elasticity of revenue to output assumed to be one.
  - Primary expenditures follow an exogenously chosen primary spending ratio plus structural primary-balance changes (Δspb).

B. Policy scenarios — treatment of fiscal adjustment and credibility
- Fiscal adjustment:
  - Measured against medium-term fiscal plans prevailing before adjustment; adjustment defined in levels.
  - Final improvement in primary balance may fall short of the announced target because of endogenous multiplier effects on output.
- Output under adjustment:
  - Growth equation includes a drag from fiscal effort equal to the sum of current and past fiscal consolidation efforts multiplied by their respective marginal multipliers (persistence of multiplier is exogenous).
  - Example persistence table: multipliers m1, m2, m3, m4 applied to past Δspb/y terms with persistence across t=1..t=4.
- Interest rates in policy scenarios:
  - Fiscal effort affects risk premium; an additional term links cumulative change in structural primary balance to the risk-premium equation to capture possible favorable market reactions to announced consolidation (assumes announced adjustment is implemented).
  - Nominal interest rates may not fully pass through changes in inflation; pass-through parameter set greater than zero in scenario equations.

C. Debt dynamics — bonds, interest bill, effective rate
- Government issues a fixed-maturity bond (q) each period; bond covers redemption of earlier bond and deficit in period.
- Effective interest rate is weighted average of past marginal nominal rates and depends on maturity/redemption structure and overall balance.
- Standard debt-dynamics equation used: change in debt ratio depends on primary balance (pb), effective interest rate, nominal growth rate γ, and other model terms noted in equations.

D. Calibration — baseline parameter choices and sensitivity
- Output growth (potential): 1.2 percent.
- Fiscal variables:
  - Revenue ratio set at just below 40 percent of GDP.
  - Primary spending ratio set just above (revenue minus spending implies a primary deficit of 1 percent of GDP).
  - Statement: “This primary balance is broadly in line with advanced economy averages over 2013-18 (IMF, 2013).”
- Interest rates:
  - Underlying real interest rate set at 2 percent to generate an interest bill of around 3.5 percent of GDP at t.
- Risk premiums (fiscal effort / consolidation credibility):
  - Consolidation credibility term calibrated to 15 basis points for each 1 percent of GDP fiscal adjustment for Figures 6 and 7.
  - Increased to 30 basis points for each 1 percent of GDP fiscal adjustment for Figure 8 to illustrate stronger credibility effects.
- Risk premiums (debt-level):
  - Non-linear specification calibrated with D_max = 170 percent of GDP and α = 1.5.
- Starting debt-to-GDP ratio:
  - Baseline start: 90 percent of GDP (2012 euro area average).
  - Higher-start simulation: 130 percent of GDP used behind Figure 8.
- Fiscal multipliers:
  - Baseline fiscal multiplier set to 1.
  - Persistence of the multiplier set at 4 years.
  - “Recessionary” multiplier of 1.5 used for calculations behind Figure 7.
  - Sensitivity note: varying multiplier in plausible range 0.2 to 1.5 does not significantly alter main findings.
- Interest elasticity of output: parameter set to -0.2.
  - Note: in Figure 8, varying this parameter by +0.1/-0.1 changes the final debt-to-GDP ratio with credibility effects by +3/-3 percentage points.
- Inflation:
  - Underlying inflation set to 2 percent; durable effects on debt-dynamics require imperfect Fisher effect (pass-through parameter very small).
- Additional calibration remarks:
  - Choice of D_max and α can quickly affect baseline dynamics; steeper risk-premium curves raise crisis risk but increase potential positive impact of credibility in policy scenarios.
  - Calibration choices reflect features of a typical advanced economy in the euro area and are used to demonstrate qualitative interactions among fiscal adjustment, growth, interest rates, and inflation.

*Source: IMF World Economic Outlook; Abbas et al. (2010); Devries et al. (2011); Fund staff calculations.*

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