This Selected Issues paper analyzes empirically the main determinants of Hungary’s inflation rate during 1990–96. Although there exist a number of possible methodologies to analyze this issue, the one proposed in the paper takes explicit account of the time-series properties of the variables that are potential candidates for explaining Hungary’s inflation performance. This leads to the specification of a long-term equation, linking consumer prices to a number of macroeconomic variables as well as to proxies for relative price shocks. The paper also examines the external current account and net foreign assets in Hungary.

Abstract

This Selected Issues paper analyzes empirically the main determinants of Hungary’s inflation rate during 1990–96. Although there exist a number of possible methodologies to analyze this issue, the one proposed in the paper takes explicit account of the time-series properties of the variables that are potential candidates for explaining Hungary’s inflation performance. This leads to the specification of a long-term equation, linking consumer prices to a number of macroeconomic variables as well as to proxies for relative price shocks. The paper also examines the external current account and net foreign assets in Hungary.

II. The External Current Account and Net Foreign Assets in Hungary: Longer-Run Equilibrium Perspectives 1/

1. Introduction

The external current account in Hungary has been very volatile during the transition period since 1989 with small surpluses in the early years followed by very large current account deficits of almost 10 percent of GDP in 1993-94 (Table 4). 2/ From a saving-investment perspective, the relatively strong current account position in the earlier years reflected a strengthening in household saving but also very weak investment demand in the wake of the initial uncertainties surrounding the transition process (Table 5). But with a considerable weakening in public sector saving, domestic saving was inadequate to finance the subsequent rebound in investment, leading to a substantial reliance on foreign saving. Most recently, following the introduction of a policy adjustment package in March 1995 and a strengthening of the public sector accounts in 1996, the current account has improved substantially.

Table 4.

HUNGARY: Balance of Payments in Convertible Currencies, 1991–96

(In millions of U.S. dollars; unless otherwise specified)

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Sources: Data provided by the Hungarian authorities; and staff estimates.

Imports and exports for 1995 are significantly higher than the corresponding customs data. The underlying export and import trends are better reflected in customs data.

Table 5.

HUNGARY: Saving and Investment, 1990–95

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Source: Ministry of Finance.

The developments in the current account have to some extent been mirrored by movements in real exchange rates, in particular those based on unit labor cost (Chart 10). The appreciation of the forint contributed, with some lag, to the deterioration of the current account in 1993/94. 3/ And with real wages declining by some 10 percent in 1995 and concurrent substantial productivity gains, the gains in competitiveness were quickly reflected in a turnaround of the current account.

CHART 10
CHART 10

HUNGARY: EXTERNAL CURRENT ACCOUNT AND EXCHANGE RATES, 1991–96

Citation: IMF Staff Country Reports 1996, 109; 10.5089/9781451817829.002.A002

Sources: Hungarian authorities; IMF, International Financial Statistics; staff estimates.

In parallel with the swings in the external current account, Hungary also witnessed relatively large movements in its foreign asset and debt position over the past seven years (Chart 11). The relatively strong current account position at the beginning of the decade contributed to a decline in the net external debt-to-GDP ratio 4/ which, however, remained very high by international standards, a legacy of the past. During 1993-94, sizable new net borrowing was needed to finance the current account deficit, and it was only in 1995 that the net debt ratio began to decline again, helped by the narrowing of the current account deficit and exceptionally large FDI inflows (see the main Staff Report). Even in the face of its very large external debt and debt service burden, Hungary has maintained its impeccable debt service record and, with the recent policy adjustments, market access has further improved and yield spreads declined.

CHART 11
CHART 11

HUNGARY: EXTERNAL DEBT AND FOREIGN EXCHANGE RESERVES, 1991-96

Citation: IMF Staff Country Reports 1996, 109; 10.5089/9781451817829.002.A002

Sources: Hungarian authorities; IMF, World Economic Outlook, May 1996; and staff estimates.1/ Data may be affected by debt reduction agreements. For country classifications, see IMF, World Economic Outlook, May 1996.

The volatility of the external accounts, but also Hungary’s large external debt position, raises the issue of what level of these variables is broadly appropriate as a longer-term equilibrium.

To address this issue, the chapter draws mainly on theoretical models that analyze the current account from an intertemporal saving-investment perspective. These models, which build on earlier work in the context of closed economies (for example, Lucas (1981)), highlight the role of the current account as a buffer against temporary shocks (such as a relative cyclical weakening or temporary negative supply shocks; see, for example, Frenkel and Razin (1996)). But they also underscore the role of the external current account in allocating resources in a more sustained way over time, for example as a way of building up foreign assets in case of a relative ageing of a country’s population.

While the main focus of this approach is on flow equilibria as reflected in the external current account, the approach also has implications for the cumulated sum of a country’s historical current accounts, as reflected in the stock of external debt and foreign assets. Accordingly, in addition to analyzing the current account position, this chapter will also attempt to see if, from cross-country comparisons, lessons can be drawn about the adequacy of Hungary’s current net foreign asset position and its projected future path.

The chapter presents some preliminary results on the determinants of the external equilibrium identified in these models. It draws on ongoing analysis in the Fund on longer-run equilibrium current account and exchange rate paths, and in particular on a recent study by Debelle and Faruqee (1996). Based on these results, simulations are presented that may provide a reference point for a current account or net foreign asset position which may be desirable from a long-term perspective. It is then possible to analyze if the Hungarian economy is currently on a path to achieve these reference levels or if there are country-specific reasons that may argue for some deviation. The assessment of the longer-run equilibrium balance of payments also brings to the fore the issue of the equilibrium real exchange rate path as a key relative price affecting the long-run current account and net foreign asset position.

The results of the present chapter are preliminary. This reflects to some extent the state of the art of empirical work in this area, which does not generate econometric estimates that can be put in narrow confidence bands. The situation is further compounded in the case of Hungary: (i) the transition to a market economy involves deep structural changes that may warrant some deviation from what may be considered appropriate external account targets for long-established market economies; and (ii) data problems are still substantial and severely limit country-specific empirical analysis in this area.

The chapter begins with a presentation of the theoretical framework of the intertemporal saving-investment model and its implications for a country’s net foreign asset equilibrium (Section 2). Based on empirical tests of the model, Section 3 presents simulation results for Hungary for both the external current account and net foreign assets, as well as some additional cross-country comparisons. Section 4 contains some concluding remarks.

2. Intertemporal saving-investment models of the external current account and equilibrium exchange rates 1/

a. Current account determination

External capital flows enable a country to import for some time more goods and services than it exports. However, intertemporal solvency implies that these debts should eventually be paid back through surpluses on the trade and services accounts. In this way, the external current account is fundamentally a venue of intertemporal resource allocation between countries. This aspect is at the center of the intertemporal approach which analyzes the current account within an intertemporal saving-investment model and identifies the factors that may make it optimal for countries to run current account imbalances for some periods.

To highlight some key features of this approach, it is instructive to start from the national accounts identity:

(1)Y=C+I+G+X-M

where national income (Y) is the sum of consumption (C), investment (I), government spending (G), and net exports (N=X-M). 2/ The government’s deficit (DEF) in any period is DEF-G-T, where T denotes government taxes net of transfers. Defining private sector saving as Sp=(Y-C-T), equation (1) can be rewritten in a way that relates net exports to private sector saving, the government deficit, and investment:

(2)SP-DEF-I-N.

Note that net exports (N) is the national accounts equivalent to the external current account, excluding transfers. For simplicity of exposition, it is assumed in this Section that these transfers are zero so that the current account is equal to net exports.

The main focus of the intertemporal saving-investment approach is to identify the determinants of the left-hand side of equation (2). It takes into account the intertemporal solvency condition of a country:

(3)PV(N)=-NFA0,

whereby the present value of all future net exports, PV(N), must equal (the negative value of) a country’s initial net foreign asset position. This allows a country with an initially positive net foreign asset position to “eat up” the assets over time by running current account deficits, and vice versa.

The intertemporal model highlights the role of the current account as a buffer for transitory shocks. This essentially extends the consumption smoothing model to an open economy: inter alia, it suggests a relatively strong current account position for a country that is in a weaker cyclical position than its trading partners; also, in the case of temporary real exchange rate, terms of trade, or supply shocks, demand smoothing would result in temporary current account imbalances. For example, an unusually bad harvest, as Hungary witnessed for several years in the early 1990s, may have only a limited effect on domestic demand and result in a concurrent temporary deterioration of the external current account. 1/ Temporary shocks that affect the current account can also be policy induced, including monetary policy shocks and temporary changes in the fiscal policy stance (see below the discussion on Hungary).

The intertemporal approach also identifies factors that may result in more sustained periods of current account imbalances. A country that starts from a relatively underdeveloped position, and is expected to narrow its relative income gap, could be expected to run a current account deficit during part of the catch-up period. While this would allow some intertemporal smoothing of consumption, it should also be reflected in a relatively large share of capital goods imports. As a result, the composition of a current account imbalance may be an important indicator of its sustainability; this is underscored by the experience in several countries in East Asia, where sustained periods of current account deficits have come in the face of high domestic saving rates, but even higher investment ratios, with imports primarily reflecting investment goods needed for achieving the relatively high growth rates and the narrowing of the relative income gap. 1/ Demographic factors may also result in sustained periods of current account imbalances. Theories in this respect mostly build on aggregate life-cycle models. In particular, as a country’s population ages relative to its partner countries, its dependency ratio may tend to rise. If, as the life cycle hypothesis suggests, older dependent people have lower propensities to save, this would tend to lower a country’s saving rate over time. 2/ In order for the intertemporal solvency condition (3) to hold, this country would have to save relatively more in the years prior to the relative rise in its dependency ratio, i.e., a country would ceteris paribus have to record a stronger net current account position in the earlier years ahead of the relative aging of its population.

Fiscal policy can affect the current account in these models through several channels. 3/ The fiscal deficit may affect a country’s current account if Ricardian equivalence does not (fully) hold, so that changes in public sector saving are not fully offset by changes in private sector saving (see equation (2)). Fiscal policy also exerts direct demand effects (or indirect effects via taxation and transfers) and these have repercussions on the external current account. For example, to the extent that the private sector has a different (generally lower) marginal propensity to consume nontradable goods than the public sector, a temporary increase in government demand would generally affect the current account even if Ricardian equivalence held. 4/

Finally, intertemporal models of the current account ascribe an important role to interest rates. First, a rise in real interest rates has a wealth effect. It is negative in countries that are net borrowers, like Hungary, as it increases their debt service burden; as a result, Hungary would have to run larger current account (net of interest payments) surpluses over time if there were a sustained rise in real interest rates. Secondly, as an intertemporal price, the real interest rate also affects the intertemporal demand and supply pattern, and thereby the current account.

b. Implications for equilibrium exchange rates

The intertemporal approach sketched above provides a framework to analyze an equilibrium path for saving, investment, and the current account. As discussed, the path depends on a set of variables Z (including, for example, the real interest rate, the stage of development, and temporary supply shocks), the government deficit (DEF), and the real exchange rate (q). Accordingly, equation (2) can be rewritten as a function of these variables: 1/

(4)SP(Z,DEF;q)-DEF-I(Z,DEF;q)=N(Z;q),

where we assume, for simplicity, that the government deficit is an exogenous policy variable. For a realization of Z and the government deficit, equation (4) can be solved for the corresponding real exchange rate.

The realization of the variables Z and DEF at any particular point in time may, however, include temporary factors—for example, the economy may be in a cyclically weak position—or the policy maker may consider steps to bring some of the variables to a more “desirable” level (denoted below by an asterisk *), including reducing the fiscal deficit to DEF*. More precisely, the combination (Z*, DEF*) is the value of the saving-investment determinants that is consistent with a targeted internal and external equilibrium of the economy. Corresponding to this level would be a level of the real exchange rate, call it the “desirable” real exchange rate (q*):

(5)SP(Z*;q*)-DEF*-I(Z*;q*)=N(Z*;q*).

The basic idea behind a desirable exchange rate model like equation (5) is quite similar to Williamson’s (1985) concept of the “fundamental equilibrium exchange rate”, and work by Artus (1978) and Edwards (1989).

In a special case, 2/ all left-hand side variables in equation (5) are determined exclusively by the underlying structural factors (Z) and independent of the real exchange rate:

(6)SP(Z*)-DEF*-I(Z*)=N(Z*;q*).

In this special case, the left-hand side variables determine, based on the saving-investment model, the desirable current account level. The corresponding level of the desirable real exchange rate can then be calculated purely from the external trade side, i.e., by essentially applying the elasticity approach.

C. Foreign asset equilibria

The cumulated sum of a country’s historical current account, adjusted for transfer payments and valuation gains, determines its net foreign asset position at any particular point in time. An alternative way to apply the intertemporal saving-investment model is thus to focus on a country’s net foreign asset position (i.e., a stock equilibrium) rather than the current account (i.e., a flow equilibrium) which was discussed in Section 2.a above. This may provide some additional insights, in particular in empirical analyses. For example, by analyzing the net foreign asset position one can draw on the empirical observation that some countries, notably in the developing world, have encountered (negative) net foreign asset positions that turned out to be ultimately unsustainable. By comparing the experience of different countries, the objective is to analyze if there is an optimal level or optimal range for a country’s net foreign asset position.

With net foreign assets essentially representing the stock equivalent to the current account, the theoretical determinants of a country’s optimal foreign asset position are also the factors identified above in the intertemporal saving-investment model. 1/ In turn, net foreign assets have two important effects on a country’s current account. First, the return on these assets directly affects the current account in the form of net interest and dividend payments and profit remittances. Secondly, net foreign asset positions should, over longer time periods, be reversed as indicated by the solvency condition (3) above. It has proven difficult to disentangle these two effects in empirical work on the saving-investment model. As a result, analyzing a country’s foreign asset equilibrium directly may provide useful additional insights into a country’s external position. Specifically, by comparing Hungary’s net foreign asset position to that of other countries, or country groups, it may be possible to identify implications for Hungary’s present and projected future foreign asset position. A step in this direction is undertaken in Section 3.b. below.

Once a “desirable” net foreign asset position is identified, a corresponding “desirable” equilibrium exchange rate can be calculated. The calculation of this exchange rate is based on the real exchange rate elasticities of goods and services, as captured by the right-hand side of equation (6) above. Correspondingly, the desirable exchange rate would secure a path for a country’s net exports which obtains the “desirable” net foreign asset level.

3. Simulation results and other cross-country comparisons

The theoretical framework of the previous Section can now be applied to analyze the external equilibrium for Hungary. However, in view of the dearth of adequate time series data for Hungary, 1/ the analysis to identify the quantitative importance of the different variables has to rely largely on historical evidence for other countries. These parameter estimates are then applied in this section to Hungary and provide a benchmark against which one can assess her developments and prospects.

a. Intertemporal saving-investment model 2/

Several recent studies have been able to lend some empirical support to the importance of the current account determinants highlighted in the intertemporal saving-investment model. This includes studies of the experience in individual countries, but also cross-country analysis—where each country is treated as a single observation—as well as studies using time series panel data—where also the behavior over time in the different countries is analyzed. The following discussion employs the results reported in a recent study by Debelle and Faruqee (1996) and applies them in several simulation exercises to Hungary. In interpreting the results reported below, it must be emphasized from the outset that the empirical findings are tentative and can not be placed into narrow confidence bands.

The results in Debelle and Faruqee (1996) lend support to the hypothesis of the intertemporal saving-investment model that the stage of development and demographic factors are significant determinants of a country’s current account position. 3/ For industrial as well as developing countries, and in panel and cross-section regressions, a rise in the dependency ratio tends to be associated with a lower current account surplus or larger deficit. For Hungary, this effect would tend to lead to a relatively stronger current account position now and in the near to medium-term: its dependency ratio is currently close to the average in industrial countries and is expected to fall relative to these countries in coming years, before a gradually (absolute and, In view of Its low birth rate, also relative) increasing trend takes hold during the first half of the next century. 1/

The negative effect on the current account of a country’s relative development position—proxied, for example, by its relative income or the capital-output or capital-labor ratio—is also broadly supported by the data. In the case of Hungary, this would contribute importantly to current account deficits, if a catch-up is likely and partly financed in this way. Sizable FDI inflows into Hungary would tend to support this conjecture. On the other hand, its investment rate, despite recent increases, may not be high enough to support a very rapid growth process; especially in comparison to some of the newly industrializing countries in South-East Asia, this would limit the extent to which the catch-up can rationalize sustained large current account deficits.

There is also some support for the hypothesis that fiscal policy affects a country’s current account position. In particular, this is confirmed by panel data and partial adjustment models. 2/ For Hungary, one could also expect fiscal policy to have quantitatively important effects, as Ricardian equivalence is unlikely to hold in view of the still limited role of capital markets, despite recent substantial progress. As a result, one would expect that an increase in public saving would tend to lead to some increase in national saving and a reduction in the current account deficit, a conjecture also corroborated by the observed correlation ever time between public and national saving.

Finally, the empirical results indicate the importance of temporary factors, including the business cycle position and temporary terms of trade shocks. On the other hand, as in many studies on investment or saving behavior, it is generally difficult to find a statistically significant impact of the real interest rate on the current account.

Based on these results, it is now possible to provide a rough quantitative assessment of Hungary’s current account position, fitting the parameter estimates to the specific variable values in Hungary. These simulated values for Hungary can then be compared to the actual or projected values. The basic idea of this approach is that the experience of other countries may provide a norm against which one can compare Hungary’s current account position. Should the simulated value of the current account be stronger (or weaker) than the actual or projected one for Hungary, the deviation, judged by this norm, may be viewed as undesirable. Of course, in the actual evaluation of the appropriate current account level one would also have to consider country-specific effects that may make deviations from these norms appropriate.

The simulation results indicate that Hungary’s projected current account may be somewhat weaker than suggested by the experience in other countries. However, the deviation would appear to be relatively minor and well within the confidence band of most of the statistical results. Specifically, the staff projects a current account deficit in 2001 of about 2 percent of GDP (see main Staff Report). This compares with simulation results of a current account range, depending on the specific model employed, of -3¼ to +½ percent of GDP, with most estimates for industrial countries indicating a deficit of somewhat below 1 percent (see Tables 6-8). 1/ 2/

Table 6.

HUNGARY: Current Account Simulations Based on Cross-Section Results fox Industrial Countries

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Sources: Data provided by the Hungarian authorities; Debelle and Faruqee (1996); and staff estimates.

Specification A corresponds to column (3) and specification B to column (5) in Table 2 of Debelle and Faruqee (1996). The parameter estimates are based on cross section analysis for 21 industrial countries for the period 1971-93.

Staff projections are based on the main Staff Report.

Share of population aged 0-19 and over 65 in percent of the rest of the population; for Hungary, the data refer to 1995 and 2000, respectively.

Table 7.

HUNGARY: Current Account Simulations Based on Panel Data for Industrial Countries

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Sources: Data provided by the Hungarian authorities; Debelle and Faruqee (1996); and staff estimates.

Specification C corresponds to column (1) and specification D to column (4) in Table 4 of Debelle and Faruqee (1996). The parameter estimates are based on panel data analysis for 21 industrial countries for the period 1971–93.

Debelle and Faruqee (1996) allow for country specific effects—i.e., country-specific constants—in the panel regression.

The table reports the average of the country specific effects in Debelle and Faruqee (1996). The range of their estimates was from -0.9 to -6.2 in specification C, and from -1.7 to -7.1 in specification D.

Value for constant is chosen that would make the 1996 simulated current account equal to the expected current account (-4.3 percent, see the main Staff Report).

Table 8.

HUNGARY: Current Account Simulations Based on Cross-Section Results for Developing Countries

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Sources: Data provided by the Hungarian authorities; Debelle and Faruqee (1996); and staff estimates.

Specification E corresponds to column (1), specifaction F to column (3), and specification G to column (4) in Table A2 of Debelle and Faruqee (1996). The parameter estimates are based on cross-section analysis for 32 developing countries for the period 1971-93.

Staff projections are based on the main Staff Report.

The staff’s projected current account deficit is, as indicated, well within the margin of error of the estimates. And while the point estimate is a current account deficit over the medium-term that exceeds the deficit indicated for the industrial countries by about 1 percent of GDP, there are several arguments suggesting that a somewhat larger deficit may be appropriate for the Hungarian economy. First, with the transition process still far from complete, there is a need to rebuild the capital stock. It is likely that the staff estimate of the current size of the capital stock, which is based on historical capital stock data, does not adequately reflect the efficiency (or lack thereof) of the historical capital stock, and thereby under estimates the capital need of the economy. 1/ Secondly, it is projected that foreign direct investment will provide inflows which will more than finance the current account deficit over the medium-term. This type of capital inflow should enable a country to sustain larger current account deficits for some time. However, the type of capital inflow used to finance a current account imbalance is not adequately captured in the empirical estimates underlying the simulation results in this section.

b. Net foreign asset equilibria

Complementing the previous discussion, this section addresses two issues. First, to what extent are the staff’s projected changes in Hungary’s net foreign asset position, as described in the main Staff Report, consistent with recent empirical estimates reported in the literature. Second, is the level of Hungary’s net foreign assets consistent with the one observed in other countries, or, alternatively, may it give rise to particular concerns.

Along the discussions in Section 2.c above, a simple net foreign asset equation is estimated for industrial countries in Debelle and Faruqee (1996). But their estimate highlights the importance of country specific factors, as captured by country-specific constants which vary widely, and significantly, across countries. Since Hungary was not included in their data sample, the model’s main usefulness for the present purpose is as a benchmark for the staff’s projected changes in net foreign assets. This is achieved by calibrating the country-specific constant for Hungary in such a way that the model’s estimated 1996 value equals the net foreign asset level projected by the staff for 1996. 2/ Based on this calibration of the empirical model, one can then evaluate if the staff’s projected change in Hungary’s net foreign asset position is consistent with the empirical results in Debelle and Faruqee (1996).

The result of this exercise are reported below and indicate that the staff’s projections are broadly consistent with the empirical findings for industrial countries. The staff projects a slightly larger improvement in Hungary’s net foreign asset position, but the difference is well within the statistical margin of error. In terms of the empirical model, three factors influence the projected improvement in Hungary’s net foreign asset position over the coming five years: a continuation of the fiscal adjustment program, as envisaged by the authorities, resulting in a sustained decline of the public debt-to-GDP ratio; a (temporary) relative decline in Hungary’s dependency ratio in those years; and the projected gradual narrowing in the income gap. The consistency of the model’s and the staff’s projection would suggest that the projected improvement in Hungary’s net foreign asset-to-GDP ratio could be achieved without a substantial deviation of the exchange path from the one envisaged in the staff’s projection. 1/

HUNGARY: Net Foreign Assets

(In percent of GDP)

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Sources: staff estimates; and staff projections based on main Staff Report.

For the estimation results reported in Debelle and Faruqee (1996; Table 5, column 1), the country specific constant for Hungary is chosen so that the model value equals the staff projection for 1996.

While the above results shed some light on the change in Hungary’s foreign asset position, they do not answer the question if Hungary’s net foreign asset is at an appropriate level, A comparison with a wide range of developing countries reveals that, despite recent substantial improvements, Hungary remains settled with an external debt burden that is very high by international standards (Table 9 and Chart 11). For example, its external debt (net of foreign exchange reserves) 1/ at end-1996 is estimated at about 44 percent of GDP, almost three times the level in countries classified as market borrowers in the WEO. And even if the coming years were to see the improvements indicated in the table above, Hungary’s external debt (net of foreign exchange reserves) would in the year 2001 still be about twice the average level currently recorded in developing countries and over 2k times the current level of market borrowers.

Table 9.

External Debt and Assets in 1996: Hungary and Selected Other Countries

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Sources: Staff estimates for Hungary are based on main Staff Report; for other countries: IMF, World Economic Outlook, May 1996.

Net debt as defined in this table differs from net debt data of the Hungarian authorities, which incorporates other foreign assets in addition to foreign reserves.

See IMF, World Economic Outlook, May 1996, for country classifications.

Hong Kong, Korea, Singapore, and Taiwan Province of China.

The debt figures for some countries in this group are affected by debt reduction agreements; the debt-to-GDP ratio of this group was 56 percent in 1988, when they had also low reserves.

4. Summary and conclusion

This chapter reviewed Hungary’s external current account and net foreign asset position from a longer-run equilibrium perspective, within the theoretical framework of an intertemporal saving-investment model. The model identifies key determinants of a country’s external equilibrium position—including its stage of development, relative cyclical position, public sector saving, and demographic factors—and has received some empirical support. In the absence of time series data that would allow a more specific econometric analysis for Hungary, the chapter presents simulation results based on parameter estimates obtained for other countries, as well as some additional cross-country comparisons.

The main conclusion of the chapter is that the medium-term path of the external current account, as projected by the staff for Hungary, is broadly appropriate in light of the experience in other countries. However, even if this path were achieved, Hungary would remain burdened by a very high external debt and debt service level well into the next century. This indicates the need for sustaining and building upon the current adjustment efforts on the macroeconomic side, especially with respect to raising public sector saving, complemented by far reaching structural reform.

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APPENDIX I: Net Foreign Assets and the Saving-Investment Model: Steady-State Relationship

This appendix describes the steady-state relationship between the intertemporal saving-investment model of Section 2.a and the foreign asset considerations discussed in Section 2.c. The connection between the net foreign asset equilibrium and the intertemporal saving-investment model can be seen from the following relationship between the current account (CA), net exports excluding net interest payments (NE), and net interest payments (the product of the interest rate, if, and the beginning-of-period net foreign asset position): 1/

(A1)CA(t)=NE(t)+ifNFA(t-1)
(A2)NFA(t)=NFA(t-1)+CA(t)-NetTransfers.

For simplicity, assume that net transfers are zero. Then, combining equations (A1) and (A2) yields:

(A3)NFA(t)=(1+if)NFA(t-1)+NE(t).

To obtain a stationary 2/ net foreign asset position (i.e., NFA-NFA(t)-NFA(t-l)), it is necessary that net foreign assets are proportional to the long-run net export balance, with the factor of proportionality depending on the interest rate on foreign assets:

(A4)NFA=-(1/if)NE.

The result is intuitive. Suppose a country were to maintain a positive net foreign asset position over the long-run. By itself, the net foreign assets would accumulate interest income thereby further increasing the net foreign asset position. To offset this effect, the country would have to run a deficit on its net exports. Hungary at present is clearly in the opposite situation: with its large negative net foreign asset position, even stabilizing net foreign assets at the present level would require a sizable surplus on net exports (excluding net interest payments, but including net transfers).

1/

Prepared by Thomas Krueger.

2/

For a more detailed discussion of earlier developments see IMF (1995). The most recent developments are discussed in the main Staff Report.

3/

Other factors were also important, see SM/95/51 (3/15/95).

4/

The Hungarian concept of net debt is defined as gross debt minus foreign exchange and other foreign assets; it excludes the stock of foreign direct investment (FDI).

1/

The discussion below is necessarily selective and focusses on only one important theoretical model. Inter alia, some other approaches focus more directly on the exchange rate, including some purchasing power parity models; recent expositions and reviews in this area include Isard (1995) and Rogoff (1996).

2/

Net exports consists of net exports of goods and services, including interest payments and other factor incomes, but excludes transfer payments.

1/

However, to the extent that temporary shocks affect a country’s net foreign asset position—for example, a temporary deterioration in the current account raises the external debt level and increases the future financing need—temporary shocks may also have longer run implications for saving and investment and thereby the current account.

1/

To some extent, these factors have an analogue on the capital account side. In particular, FDI-based financing may be able to sustain larger current account deficits or deficits for longer time periods. This has played an important role in recent years in Hungary.

2/

Cross section and cross country evidence on the importance of these factors is, however, mixed; see, for example, Poterba (1994), but also Masson, Bayoumi, and Samiei (1995).

3/

See, for example, Frenkel and Razin (1996).

4/

The role of nontradable goods is discussed, for example, in Ostry (1988).

1/

Leads and lags of the variables may also be present. The basic concept behind this approach goes back at least to Laursen and Metzler (1950), Harberger (1950), and Meade (1951).

2/

Among others, this would imply the absence of the Harberger-Laursen-Metzler effect on saving; see for example Svensson and Razin (1983) and Ostry (1988).

1/

The steady-state mapping between the two concepts is described in Appendix 1.

1/

The relevant data series in Hungary are often too short to allow meaningful econometric analysis, especially for the period after the breakup of the CMEA trading regime in 1991. In addition, external balance of payments data, including on external trade, continue to be subject to substantial statistical weaknesses (see main Staff Report, Appendix V).

2/

The following sections draw extensively on ongoing, and still preliminary, work at the Fund, and in particular a recent study by Debelle and Faruqee (1996).

3/

See Debelle and Faruqee (1996) for further details; the top half of Tables 6-8 reproduces some of their estimation results.

1/

For international comparability, the dependency ratio is defined here as the sum of the number of people under 19 and above 65, divided by the rest of the population. This understates the ratio in cases where the mandatory retirement age is below 65 or a portion of the working age population is not employed. These factors are likely to be more important in Hungary than in many other countries (for example, the mandatory retirement age is presently 55 for women and 62 for men and there is a large number of early retirees; see also the discussion in Chapter III). Still, with the planned reforms in the pension system and the demographic developments, Hungary’s dependency ratio should temporarily decline in the near to medium-term.

2/

See Debelle and Faruqee (1996). On the other hand, they can not find statistically significant support in their cross-section analysis. It is possible, however, that some of the indirect effects of fiscal policy on the current account (including through the real exchange and interest rate) are difficult to disentangle in empirical studies, and that this accounts for the sometimes weak statistical results.

1/

It may be more informative to choose a more distant rather than the current year as a reference point, thereby eliminating the effects of most temporary factors (like the cyclical position). Accordingly, the simulations use the year 2001, the final year of the present IMF’s World Economic Outlook projections, as a reference point.

2/

In line with the model described in equation (6), one can solve for the value of the real exchange rate that would be consistent with the simulated values based on the estimated parameters. As an example, staff estimates indicate that a 1 percent improvement in the current account in 2001 (i.e., to a deficit of 1 percent of GDP) would be consistent with a 2/3 of 1 percent per annum depreciation of the forint in real terms relative to the staff’s baseline projections, resulting in a cumulative relative depreciation of the real value of the forint by about 3½ percent after five years (other exchange rate simulations are indicated in Tables 6-8). The simulations assume import and export price elasticities that sum to close to 2; this is somewhat larger than the averages reported in Goldstein and Khan (1985), reflecting the particular experience in Hungary.

1/

In some respect, Hungary may also be closer to the experience of many developing rather than industrial countries. Here, even the point estimates based on developing countries’ comparisons indicate that the projected current account path for Hungary is appropriate (Table 8).

2/

In the absence of more adequate data, the authorities’ net foreign debt figure is used as a proxy for Hungary’s net foreign asset position.

1/

Staff projects a moderate improvement in competitiveness over the medium-term, reflecting relatively strong projected productivity growth in Hungary (see EBS/96/18, 2/5/96, and main Staff Report).

1/

For international comparability, this concept is used in Table 9. It differs from the net debt data for Hungary reported in the main Staff Report, which are net of foreign exchange reserves but also net of other foreign assets. As shown in the text table above, net debt at end-1996 is estimated at 35 percent of GDP versus about 44 percent of GDP for external debt net only of foreign exchange reserves.

1/

For simplicity, it is assumed that there are no valuation or other capital gains or losses on net foreign assets, other than those recorded in the current account.

2/

As discussed in Section 2, a stationary net foreign asset position is generally not optimal for a country. However, the following relationships are still instructive to highlight the relationship between stocks and flows.