A simple, flexible and illustrative model
Chart 1 compares the change in public debt as a percentage of GDP in France and Germany since the creation of the euro area. It also shows the impact of different scenarios over the 20 coming years.
We use a simple model for public debt trajectories with four variables directly influencing public debt as a percentage of GDP: (i) an increase in interest rates pushes up debt service costs and therefore the ratio; conversely, all other things being equal, (ii) an improvement in the primary public balance (excluding interest costs), (iii) stronger growth in real GDP or (iv) a rise in inflation reduces the ratio. The variables themselves are determined by stylised macroeconomic relationships. Inflation gradually moves towards its long-term target of approximately 2%. GDP growth in the medium term is anchored to potential growth and impacted in the short-term (via a fiscal multiplier of around 0.5) by fiscal "structural" adjustments. The primary public balance also varies because of fluctuations in economic growth, via its cyclical component.
In this simple approach, the interdependence between interest rates and growth and inflation, as well as public debt, is not modelled. And, in the benchmark scenario, future interest rates are derived from the current market rate curve, with a 10-year yield only a little above 2% until the end of the projection period. However, other interest rate assumptions can be made (see, for example, the 200 bp shock scenario).
In macroeconomic terms, we assume potential growth of 1% to 1.25% only, until 2030, and 1.25% to 1.5% thereafter (in accordance with European Commission estimates). If potential growth proves to be stronger, public debt will decline more sharply.
Furthermore, the average fiscal multiplier can vary depending on the composition of the fiscal structural adjustments. However, this only has an impact at the beginning of the simulations.
Ultimately, as the simple approach chosen for this study can be easily modulated, it is possible to run as many scenarios as may be required. Here, we give some examples.
The case of Germany shows that a reduction in the public debt ratio is possible
In 2010, the public debt ratios of France and Germany as a percentage of GDP were very similar. Their trajectories have since diverged and France's public debt is now around 30 percentage points of GDP higher than the level observed in Germany.
Germany's public debt, which stood at around 60% of GDP in 1999, drifted to some extent in the early 2000s and then increased by around 15 percentage points in the space of a few years after the country was hit hard by the crisis of 2007. However, in 2010, Germany stabilised its public debt and, from 2012 onwards, began rapidly reducing it, by almost 3 percentage points of GDP per year, so that it will soon fall back below 60% of GDP. In Germany, the fiscal consolidations implemented as a preventive measure before the crisis, and then reimplemented quickly after, have been a key factor in the rapid reduction in the public debt ratio since 2010. Thanks to its control over public spending coupled with relatively robust growth that boosted tax revenues, Germany quickly posted a primary surplus again after 2010 and then recorded global fiscal surpluses, including interest costs. In the future, Germany is expected to move to a balanced budget.
The so-called "snowball effect" (see Chart 2), essentially determined by the difference between the nominal interest rate and the nominal growth rate, has also been favourable in Germany since 2010, as the average interest rate on German public debt has declined while nominal GDP growth has become more robust. This has also contributed to reducing the public debt ratio.
Consequently, Germany has regained substantial leeway in terms of its policy mix.