Public Debt,Economic Growth and the Real Interest Rate: A Panel VAR Approach to EU and OECD Countries

ABSTRACT

We investigate the causal relationship between public debt ratios and economic growth rates for 31 EU and OECD countries. We estimate a panel VAR model that incorporates the long-term real interest rate on government bonds as a vehicle to transmit shocks in both the public debt to GDP ratio and the economic growth rate. We find no causal link from public debt to growth, irrespective of the levels of the public debt ratio. Rather, we find a causal relationship from growth to public debt. In high-debt countries, the direct negative impact of growth on public debt is enhanced by an increase in the long-term real interest rate, which in its turn decreases interest-sensitive demand and leads to a further increase in the public debt ratio.     

Growth and external debt under risk of debt repudiation

We analyze the pattern of growth of a nation which borrows abroad and which has the option of repudiating its foreign debt. We show that the equilibrium strategy of competitive lendrs is to make the growth of the foreign debt contingent on the growth of the borrowing country. We give a closed-form solution to a linear version of our model. The economy, in that case, follows a two-stage pattern of growth. During the first stage, the debt grows more rapidly than the economy. During the second stage, both the debt and the economy grow at the same rate, and more slowly than in the first stage. During this second stage, the total interest falling due on the debt is never entirely repaid; only an amount proportional to the difference of the rate of interest and the rate of growth of the economy is repaid each period.     

The determinants of interest rates in European Union countries

One of the problems that has raised the interest of economists is to know the determinants of interest rates. In the case of the European Union, the existence of some coordination in the area of economic policies and having to fulfill some nominal convergence criteria have opened new possibilities to this field of research. In this way, possible relations among interest rates, prices, and exchange rates have been studied. This forces us to consider, among other questions, the concept of purchasing power parity and uncovered interest rate differential. The goal of this paper is to show the influence that German interest rates might have over other European Union countries. We will start by showing the essential elements of the equations to be estimated. Then we will carry out the empirical analysis for the case of six European Union countries.     

CENTRAL BANK INDEPENDENCE AND THE MONETARY INSTRUMENT PROBLEM

We study the monetary instrument problem in a dynamic noncooperative game between separate, discretionary, fiscal and monetary policy makers. We show that monetary instruments are equivalent only if the policy makers' objectives are perfectly aligned; otherwise an instrument problem exists. When the central bank is benevolent while the fiscal authority is short‐sighted relative to the private sector, excessive public spending and debt emerge under a money growth policy but not under an interest rate policy. Despite this property, the interest rate is not necessarily the optimal instrument.     

Estimating the natural rate of interest in an open economy

The concept of the natural or equilibrium rate of interest has attracted a lot of attention from monetary policymakers in recent years. Most attempts to estimate the natural rate use a closed-economy framework. We argue that in the face of greater integration of global product and capital markets, an open economy framework is more appropriate. We provide some initial estimates of the natural rate for the USA and Japan in a two-country framework. Our identifying assumptions include a close relationship between the time-varying natural rate of interest and the low-frequency fluctuations of potential output growth in both the home country and the foreign country. Our results suggest that the natural rates in both countries are mainly determined by their own trend growth rates of potential output. Nevertheless, the other country’s trend growth plays an important role in several specific periods. The gap between the actual real interest rate and our estimated natural rate offers valuable insights into the recent stance of monetary policy in both of these two countries.     

The new evidence to tendency of convergence in Solow model

This paper tests the hypothesis in the revised endogenous dynamic Solow model that there exists dynamic convergence to the moving steady-state as a single economy grows. The convergence in the revised endogenous dynamic Solow model implies that the real interest rate and the growth rate of income per capita in an economy would move together, i.e., they would be cointegrated in empirical terms. Taking the U.S. economy as our research subject, we test this hypothesis by investigating the cointegration between the U.S. real interest rate and its growth rate of income per capita during a fifty-year period from 1951 to 2000. Our results show that the U.S. real interest rate and its growth rate of income per capita move together over time, providing strong evidence to support the dynamic convergence hypothesis.     

On the Transmission Mechanism of Monetary Constraints to the Real Side of the Economy

Contrary to the predictions of the theory underlying international finance, inflows of capital triggered by financial liberalisation have neither equalised real interest rates nor increased income growth in many emerging economies. We explain this puzzle by developing a model that combines the balance‐of‐payments constraint approach to economic growth with a less stringent version of the real interest rate parity hypothesis. The model’s foundations are based on robust empirical findings or well‐established macroeconomic models. We show that a perverse combination of income elasticities of demand for imports and exports generates slow income growth and high real interest rates. As domestic income grows and imports rise faster than exports, the real exchange rate is expected to depreciate in order to clear the balance of payments (or the foreign exchange rate market). An incipient capital outflow arises and interest rates increase. Faster adjustment in capital rather than in the goods market therefore generates a higher real interest rate differential between the domestic small open‐economy and the rest of the world. The long run analysis shows that a constant degree of risk aversion implies a positive equilibrium real interest rate differential that affects economic growth. A permanent increase in default risk driven by persistent current account imbalances thus impacts on long run growth. The model’s results are illustrated with evidence from the three major Latin America economies: Argentina, Brazil and Mexico.     

Government Ponzi games and the sustainability of public deficits under uncertainty

This paper reconsiders the conditions under which a government may engage in debt roll-over schemes by financing interest payments through the issue of new debt. Output growth rates in excess of interest rates on government debt have traditionally been considered grounds for sustaining such schemes. A government may avoid debt repayment, or even run a primary deficit forever, and yet maintain a bounded debt-to-income ratio. Recent research has pointed at the stronger constraints placed on government behaviour by uncertain output growth. We show that this is not the case when an alternative criterion for solvency is used, namely that the debt-to-income ratio converges almost surely in the long run. In this case, the government is solvent when the asymptotic growth rate of the economy exceeds the asymptotic interest rate on debt, a natural extension of a familiar criterion in a deterministic environment.Convergence to the long-run outcome may, however, be a slow process. For realistic parameter values, long-run-stable fiscal plans may resemble unsustainable plans over long horizons. This circumstance may explain the observed poor performance of debt ratios as indicators of fiscal sustainability.     

Financial Deregulation and the Monetary Transmission Mechanism

Major changes to the Australian financial system in the 1980s may possibly have influenced the effects of monetary policy on economic activity. Using vector autoregressive econometric techniques we find that the deregulation of the financial system has made very little difference to the reduced form relationships among interest rates, employment growth, inflation and the growth rate of real credit. We find that interest rates are an important determinant of the business cycle, with credit being much less significant. We also find that monetary policy reacts to unexpected movements in real variables but does not react to surprises in the inflation rate.     

DOES MONEY MATTER FOR INFLATION IN THE EURO AREA?

We analyze the relationship between M3 growth and inflation within an error correction framework including also the output gap, the 3‐mo EURIBOR, and the 10‐yr government bond yield. We find robust cointegration between money growth and inflation. Shocks in M3 growth account for up to 30% of the inflation forecast error variance, while the effects of output gap and interest rate shocks are mainly transitory. Significantly different dynamics are found during periods at the end of the seventies and beginning of the eighties when interest rate and inflation rate levels were high and real money growth decreasing. (JEL C32, E31, E41)     

Modifying Taylor reaction functions in the presence of the zero‐lower‐bound — Evidence for the ECB and the Fed

We propose an alternative way of estimating Taylor reaction functions if the zero‐lower bound on nominal interest rates is binding. This approach relies on tackling the real rather than the nominal interest rate. So if the nominal rate is (close to) zero central banks can influence the inflation expectations via quantitative easing. The unobservable inflation expectations are estimated with a state‐space model that additionally generates a time varying series for the equilibrium real interest rate and the potential output — both needed for estimations of Taylor reaction functions. We test our approach for the ECB and the Fed within the recent crisis. We add other explanatory variables to this modified Taylor reaction function and show that there are substantial differences between the estimated reaction coefficients in the pre‐ and crisis era for both central banks. While the central banks on both sides of the Atlantic act less inertially, put a smaller weight on the inflation gap, money growth and the risk spread, the response to asset price inflation becomes more pronounced during the crisis. However, the central banks diverge in their response to the output gap and credit growth.     

Credit rationing, interest rates and capital accumulation

A simple endogenous growth model is developed to characterize credit rationing through the capital accumulation process. The model shows that credit rationing on investment loans decreases as capital accumulates and the enforcement cost decreases. We find that the evolution of the interest rate factor (lending interest rate/depositing interest rate) has a similar pattern to the credit rationing probability. However, simulations show that the evolution of the interest rate spread through the capital accumulation process depends on the degree of the enforcement cost. In the empirical part of the paper, we consider fifty-two countries, at different stages of development, over the period 1995–2005. We confirm the theoretical findings relative to the evolution of the interest rate spread and interest rate factor with capital accumulation. These results suggest that, for economies endowed with costly contract enforcement, the interest rate factor could be a better proxy of credit rationing than the interest rate spread.     

Demographics and real interest rates: Inspecting the mechanism

The demographic transition can affect the equilibrium real interest rate through three channels. An increase in longevity—or expectations thereof—puts downward pressure on the real interest rate, as agents build up their savings in anticipation of a longer retirement period. A reduction in the population growth rate has two counteracting effects. On the one hand, capital per-worker rises, thus inducing lower real interest rates through a reduction in the marginal product of capital. On the other hand, the decline in population growth eventually leads to a higher dependency ratio (the fraction of retirees to workers). Because retirees save less than workers, this compositional effect lowers the aggregate savings rate and pushes real rates up. We calibrate a tractable life-cycle model to capture salient features of the demographic transition in developed economies, and find that its overall effect is a reduction of the equilibrium interest rate by at least one and a half percentage points between 1990 and 2014. Demographic trends have important implications for the conduct of monetary policy, especially in light of the zero lower bound on nominal interest rates. Other policies can offset the negative effects of the demographic transition on real rates with different degrees of success.     

Ecological Intuition versus Economic “Reason”

This paper discusses the discount rate to be used in projects aimed at preserving the environment. The model has two different goods: one is the usual consumption good whose production may increase exponentially, and the other is an environmental good whose quality remains limited. The stylized world we describe is fully determined by four parameters, reflecting basic preferences, “ecological” and intergenerational concerns, and feasibility constraints. We define an ecological discount rate and examine its connections with the usual interest rate and the optimized growth rate. We discuss, in this simple world, different forms of the precautionary principle.     

Growth of developing countries and world interest rates

On the basis of aggregate data covering the period 1973–1982, this note argues that the rate of growth of non-oil developing countries is influenced significantly by the growth performance of industrial countries and by the level of the real rate of interest on world markets. At the same time, no evidence was found to support the hypothesis that the nominal rate of interest has an effect on growth in non-oil developing countries.     

Rate of profit and interest in a growth theory with endogenous money

This paper attempts to incorporate an endogenous money approachinto post-Keynesian growth theory in order to derive the fullemployment equilibrium rate of interest as well as that of profit.This rate of interest, named the ideal rate of interest, differsfrom the rate of profit in that it is in proportion to a monetaryvariable, not a real variable. Further, the rate of profit alsodiffers from the rate of interest as a premium because it isproductive. The rate of interest could be important in explainingcircumstances in which financial capital has been accumulatedin excess.     

ENDOGENOUS TIME PREFERENCE,INTEREST‐RATE RULES,AND INDETERMINACY*

This paper extends the Benhabib et al. flexible‐price, money‐in‐the‐utility‐function model by considering endogenous time preference and re‐examines equilibrium indeterminacy in response to alternative interest‐rate rules. We show that either an active or a passive interest‐rate feedback rule can generate local indeterminacy even if consumption and real money balances are Edgeworth independent. This result is in sharp contrast to that in the related literature. We also find that in the presence of endogenous time preference, local indeterminacy may occur regardless of whether the monetary policy is based on the interest‐rate feedback rule or money growth‐rate targeting.     

The inflationary bias of real uncertainty and the harmonic Fisher equation

Summary. We argue that real uncertainty itself causes long-run nominal inflation. Consider an infinite horizon cash-in-advance economy with a representative agent and real uncertainty, modeled by independent, identically distributed endowments. Suppose the central bank fixes the nominal rate of interest. We show that the equilibrium long-run rate of inflation is strictly higher, on almost every path of endowment realizations, than it would be if the endowments were constant.Indeed, we present an explicit formula for the long-run rate of inflation, based on the famous Fisher equation. The Fisher equation says the short-run rate of inflation should equal the nominal rate of interest less the real rate of interest. The long-run Fisher equation for our stochastic economy is similar, but with the rate of inflation replaced by the harmonic mean of the growth rate of money.Received: 25 February 2005, Revised: 26 May 2005, JEL Classification Numbers: C7, C73, D81, E41, E58.An earlier version of this paper “Inflationary Bias in a Simple Stochastic Economy,” as a 2001 Cowles Foundation Discussion Paper No. 1333.     

Financial market imperfections and monetary policy strategy

In a model with imperfect money, credit and reserve markets, we examine if an inflation-targeting central bank applying the funds rate operating procedure to indirectly control market interest rates also needs a monetary aggregate as policy instrument. We show that if private agents use information extracted from money and financial markets to form inflation expectations and if interest rate pass-through is incomplete, the central bank can use a narrow monetary aggregate and the discount interest rate as independent and complementary policy instruments to reinforce the credibility of its announcements and the role of inflation target as a nominal anchor for inflation expectations. This study shows how a monetary policy strategy combining inflation targeting and monetary targeting can be conceived to guarantee macroeconomic stability and the credibility of monetary policy. Friedman's k-percent money growth rule, which can generate dynamic instability, and two alternative stabilizing feedback monetary targeting rules are examined.     

Governing Interest Groups and Rent Dissipation

In a contest of group‐specific public goods we consider the effect that managing an interest group has on the rent dissipation and the total expected payoffs of the contest. While in the first group there is a central planner determining its members’ expenditure in the contest, in the second group there are two different possibilities: either all the members are governed by a central planner or they are not. We consider both types of contests: an all‐pay auction and a Logit contest success function. We show that while governing an interest group decreases free‐riding, it may as well decrease the rent dissipation; at the same time the expected payoffs of the groups may also decrease.