- Jan Martijn, Gabriel Di Bella, Shamsuddin Tareq, Benedict Clements, and Abebe Aemro Selassie
- Published Date:
- July 2006
As more information becomes available over time, the monetary projections in consecutive program revisions should show increasing accuracy. This expectation is supported by Table 3.3 in the main text, which shows a decreasing mean deviation of the outcomes from the consecutive projections. However, the mean does not provide a full picture. The correlation of successive projections with the outcomes provides additional insight.
For each of the key monetary variables in the panel of 13 countries with observations from 1999 to 2003, Table A1.1 shows the correlation coefficients between the projected percentage changes in the consecutive program updates and the realizations.1 This statistical procedure follows that used by Atoian and others (2004). To allow for comparison across a balanced panel (given that often projections for broad money and, especially, reserve money are not available), the table includes three lines for each variable. The first (second) line reflects only those cases in which a projection was included in the final IMF staff report for the country circulated two years (one year) before the year in question, referred to as the t – 2 (t – 1) staff report; the third line is based on all cases and relates only to the projections presented in the first—t(SR1)—and the last—t(SR2)—staff report during the target year.
|Projection at Time1|
|No. of observations||t – 2||t – 1||t(SR1)||t(SR2)|
|Inflation (end-year CPI)||26||0.29||0.29||0.47||0.47|
|Inflation (GDP deflator)||29||0.29||0.35||0.57||0.57|
|Real GDP growth||29||0.48||0.69||0.88||0.89|
|Broad money growth||17||0.61||0.69||0.68||0.82|
|Reserve money growth||10||–0.06||–0.19||0.82||0.76|
|Velocity (% change)||15||0.44||0.38||0.52||0.70|
|Money multiplier (% change)||10||0.27||0.00||0.88||0.72|
The year the projections are for is t. The projections as of year t – 1 and t – 2 are those from the last staff reports in the previous year and the year before that, respectively. The projection as of t(SR1) is from the first staff report in year t, and the one at t(SR2) is from the final staff report in that year. If one staff report was issued in year t, the last two observations coincide.
The results indicate that the accuracy of the projections indeed improves as the time horizon shortens: in almost all cases, the correlation coefficient is higher for projections closer to the realization. The correlation coefficients for reserve money (and the money multiplier), however, are lower for SR2 than for SR1 for the small subset of cases in which observations were already presented two years in advance.
A second test of projection accuracy, suggested by Musso and Phillips (2001), considers the predictive value of the projections relative to a forecast based on a random walk model (that is, assuming the same percentage change as observed in the previous year). The comparison of the two forecasts is made using Theil’s U-statistic (which equals the ratio of the RMSE of the projection to the RMSE of the alternative forecast based on the “no change” scenario). A lower U-statistic implies greater relative accuracy of the program projection; a value of 1 would indicate that the program forecast is no more accurate than the random walk alternative.
The results presented in Table A1.2 show that, in all cases, the program projections had smaller errors than the random walk alternative. In line with the results in the previous table, the later projections with a shorter horizon had smaller deviations.2
|Projection at Time2|
|Inflation (end-year CPI)||0.78||0.76|
|Inflation (GDP deflator)||0.74||0.75|
|Real GDP growth||0.39||0.39|
|Broad money growth||0.83||0.75|
|Reserve money growth||0.67||0.64|
|Velocity (% change)||0.84||0.77|
|Money multiplier (% change)||0.64||0.62|
The ratio of the RMSE of the actual projections to the RMSE based on a “no change” forecast.
The projection as of t(SR1) is from the first staff report in year t, and the one at t(SR2) is from the final staff report in that year. If only one staff report was issued in year t, the last two observations coincide.
Consistent with the section on financial programming, this analysis excludes Benin and Senegal in view of their membership in the CFA franc zone.
The previous year’s rate of change could not be observed at time t – 2 or at t – 1; thus a comparison of the random walk projection with the program projections made at these earlier stages would not be meaningful.
A standard test of projection efficiency is based on a regression of the actual change on a constant term and the program projection (Musso and Phillips, 2001). A projection is deemed weakly efficient if given an information set that consists of only the historical projection, no systematic projection error can be identified (that is, if the constant does not deviate significantly from zero, and the slope does not deviate from one). The results are shown in Table A2.1 for the projections made in the previous year—t – 1—and in the current year—t(SR1) and t(SR2). The asterisks (*) in the body of the table indicate the cases in which the hypothesis of efficiency can be rejected.
|Regression results: XA = b0 + b1*XP||b1||b11||R2||No. of Observations|
|Projections at time (t – 1)2|
|Inflation (end-year CPI)||0.67||1.00||0.12||41|
|Inflation (GDP deflator)||2.55||0.70||0.11||43|
|Real GDP growth||–1.98||1.23||0.24||43|
|Broad money growth||2.41||1.28||0.28||33|
|Reserve money growth||13.60*||0.14||0.00||29|
|Velocity (% change)||–5.14***||–0.01***||0.00||35|
|Money multiplier (% change)||2.65||0.23||0.00||29|
|Projections at time t(SR1)2|
|Inflation (end-year CPI)||1.23||0.84||0.17||52|
|Inflation (GDP deflator)||0.78||0.95||0.35||54|
|Real GDP growth||–0.14||1.06||0.75||54|
|Broad money growth||6.82**||0.88||0.21||54|
|Reserve money growth||6.83***||0.92||0.21||54|
|Velocity (% change)||–4.05***||0.65*||0.15||54|
|Money multiplier (% change)||1.16||0.48**||0.07||54|
|Projections at time t(SR2)2|
|Inflation (end-year CPI)||0.41||1.06||0.21||52|
|Inflation (GDP deflator)||1.02||0.95||0.35||54|
|Real GDP growth||–0.16||1.07||0.75||54|
|Broad money growth||6.86***||0.81||0.29||54|
|Reserve money growth||6.90***||0.85||0.26||54|
|Velocity (% change)||–3.38***||0.59||0.19||54|
|Money multiplier (% change)||0.63||0.58*||0.11||54|
Indicating that the null hypotheses of b0 = 0 and b1 = 1 can be rejected at the 90 percent (*), 95 percent (**), or 99 percent (***) confidence level.
The projections as of year t – 1 are those from the last staff report in the previous year. The projections as of t(SR1) and t(SR2) are from the first and the last staff reports in the year the projections are for.
The results corroborate the findings presented in the main text based on a comparison of the mean deviations between projections and outcomes: the hypothesis of weak efficiency is rejected for the projections of money growth and velocity, but not for inflation. The higher R2 for projections made at a later stage support the finding reported in Appendix I of increasing projection accuracy.
The coverage of fiscal statistics varies across countries, as do measures of the fiscal stance. This issue has taken on heightened importance in recent years—it has been argued that alternative measures of the deficit (for example, the current balance) suggest greater scope for expanding public spending than has hitherto been recognized.1 This appendix reviews best practices in the measurement of the fiscal stance.
The appropriate fiscal stance should be assessed by use of multiple indicators. A single fiscal measure is unlikely to determine whether the fiscal stance is sustainable and appropriate in the context of a country’s macroeconomic circumstances. At a minimum, it is appropriate to measure the overall fiscal balance before and after grants and a breakdown of financing into domestic and foreign sources. In some cases, presentations may vary in light of differing institutional arrangements (for example, West African Economic and Monetary Union countries). Regardless of presentation, programs should continue to monitor a range of indicators of the fiscal stance. Key indicators should be tailored to each country’s circumstances.2
If public debt is at high levels, measures of both external and total public indebtedness should be closely monitored. In this regard, ratios of the NPV of external public debt to exports and the NPV of total public debt to GDP and revenue are useful summary variables of total indebtedness.3 Ratios of debt service to revenue and gross financing needs to GDP can also indicate whether the path of debt payments is sufficiently smooth to avoid liquidity problems.4 Similarly, program design should focus on targeting flow variables that have the most direct impact on debt sustainability. These could include the minimum level of concessionality and the overall deficit.5 Both of these indicators, however, have limitations: minimum levels of conditionality do not necessarily restrict the total accumulation of new debt, and overall deficit targets do not incorporate the differing effects that concessional and nonconcessional borrowing have on NPV ratios. For these reasons, the new DSA framework for low-income countries also suggests the use of indicative ceilings on NPV ratios (IMF, 2004a). Primary balances, non-oil balances, and arrears may also be useful indicators, depending on country circumstances.
If crowding out or monetary financing of the deficit is a concern, it may be useful to focus on the level of domestic financing or net credit to the government. In cases where external debt is high and growing, however, an exclusive focus on domestic credit would be inadequate.
To ensure comprehensive measurement of the fiscal stance and debt sustainability, fiscal data covered in programs should ideally extend to the general government and noncommercial, nonfinancial public corporations. This approach seeks to strike the appropriate balance between adequately covering fiscal activities and avoiding inappropriate constraints on the investments of commercially run public enterprises (IMF, 2004g). In practice, however, data limitations necessitate a much more narrow coverage. In Africa, for example, less than 20 percent of fiscal statistics monitored by the IMF cover the nonfinancial public sector.6 In countries where significant fiscal activities are being undertaken outside the area of coverage, PRGF-supported programs should seek to broaden the institutional coverage of the fiscal sector accounts.
For a review of these arguments, see IMF (2004g).
This discussion focuses on program design, rather than on fiscal conditionality per se, which is beyond the scope of this paper. Such an assessment would need to take into account, among other things, the timeliness and quality of data and the authorities’ ability to control the variables in question.
Separate monitoring of NPV-based indicators is also important because changes in the overall deficit do not accurately reflect changes in government net worth as a result of the grant element of concessional borrowing.
The path of these variables under multiple scenarios can usefully be examined in the context of the DSA.
For further discussion of these measures, see IMF (2004e).
Figures are based on the assessment of country documents in IMF (2004c).
A commonly used statistic in the debt sustainability literature is the debt-stabilizing primary balance. Following Buiter (1985), the debt-stabilizing primary balance (as a share of GDP), p* can be expressed as
where r is the real interest rate on debt, g is the real GDP growth rate, and d is nominal debt as a share of GDP.1 Incorporating exchange rate effects on debt denominated in foreign currency, equation (1) can be reformulated as
where s is the share of debt held in foreign currency and e is the rate of real exchange rate depreciation. The real interest rate in this expression should be defined as the weighted average of the domestic and foreign real interest rates, where the domestic real interest rate is the nominal interest rate minus inflation and the foreign real interest rate is the nominal interest rate on foreign currency debt minus foreign inflation.
Following Baldacci and Fletcher (2004), an analogous expression for the primary balance that stabilizes the NPV of debt would be
where z is the real discount rate, n is the NPV of debt, and f is the grant element of new concessional financing (the difference between the nominal value of new financing and the NPV of new financing) as a share of GDP. Intuitively, equation (3) is the same as equation (2), except that the real discount rate, rather than the actual real interest rate, affects the evolution of the NPV of debt and the grant element of new financing is an important factor in determining the debt-stabilizing primary balance. In effect, the grant element of loans is treated as revenue in equation (3) to derive the augmented primary balance, (p* + f).
The DSA template for low-income countries defines the NPV of total debt in these countries as the NPV of external debt plus the nominal value of domestic debt. In this case, the debt-stabilizing primary balance would be
where rd is the real domestic interest rate. If rd is the same as the foreign real discount rate, then equation (4) collapses back to equation (3).
What does equation (4) imply about the sustainability of the sample of mature stabilizers? Assuming a nominal dollar discount rate of 5 percent and an average U.S. inflation rate over the next 10 years of 2 percent, the real discount rate (z) would be 3 percent. If real domestic interest rates and medium-run growth in the sample countries are assumed to be 3 percent and the real exchange rate appreciation is assumed to be zero, then the augmented primary balance that stabilizes the NPV of debt is zero, irrespective of the level of debt:
Equation (5) can then be used to examine whether fiscal policy in these countries has been consistent with the objective of debt sustainability.
Unfortunately, data on the actual grant element of new borrowing are not readily available. Using data on net external financing, the grant element of new borrowing can be estimated by assuming that gross external borrowing is 1.25 times net external borrowing and the average grant element is 40 percent of gross borrowing.
These assumptions yield the average debt-stabilizing augmented primary balances for the countries in the sample over the years 2000 to 2003 (Table A4.1). Of the 15 countries, only 6 ran augmented primary surpluses, implying that their fiscal positions were sustainable under the growth and financing assumptions above. In contrast, the majority of countries ran augmented primary deficits and therefore unsustainable policies. However, all but two countries were within 2 percent of GDP of the debt-stabilizing augmented primary balance.
|Country||Percent of GDP|
These estimates are, however, sensitive to the assumptions made:
For example, if these countries grew at 5 percent rather than 3 percent, then a country with an NPV of debt of 50 percent of GDP could run an augmented primary deficit of 1 percent of GDP and still stabilize its debt at the 50 percent level. In this case, 10 of the 15 countries would have been running sustainable policies. Conversely, a growth rate of only 1 percent would require an augmented primary surplus of 1 percent of GDP.
Similarly, if the real exchange depreciated by 2 percent a year, then a country with 75 percent of the debt in foreign currency would need to run an augmented primary surplus of 0.75 percent of GDP to stabilize the NPV of debt at the 50 percent level. Conversely, a constant real appreciation of 2 percent a year would allow an augmented primary deficit of 0.75 percent of GDP.
Also, the assumption of a common grant element of 40 percent may be quite high for some countries. For example, Guyana’s high augmented primary surplus in Table A4.1 is due to high external borrowing, which implies a high effective grant element. In reality, however, the grant element in Guyana may have been much lower, which would mean that the high augmented primary surplus may be misleading.
The effect of changes in the discount rate is, however, less straightforward. A higher discount rate would affect three variables in equation (4)—the discount rate itself, the NPV of debt, and the grant element of new borrowing. An increase in the discount rate itself would tend to increase the debt-stabilizing primary balance, but would also tend to lower the NPV of existing debt and increase the grant element of new borrowing, both of which would tend to decrease the debt-stabilizing primary balance. The net effect would depend on the structure of the debt.
Some additional caveats should also be borne in mind:
The fiscal outturns for 2000–03 may not reflect more recent developments. For example, whereas these estimates indicate that Guyana ran a comfortable fiscal policy, they do not reflect the recent large deterioration in Guyana’s fiscal position.
Second, the calculations above assume that countries continue to receive the current level of grants. If the grant to GDP ratio declines, then a corresponding reduction in spending, increase in revenues, or both is needed.
Third, these calculations do not take account of extrabudgetary activities that increase debt but not deficits.
Therefore, a more detailed, country-specific analysis would be required before any firm conclusions could be reached on the sustainability of any particular country’s fiscal policy.
Nevertheless, these calculations may still provide a useful general picture of the average fiscal positions across these countries. The picture that emerges is that many of these countries still do not have sustainable fiscal positions, but they are not far away. An improvement in the augmented primary fiscal balance by 1–2 percent of GDP through additional effective grants (either through outright grants or higher grant elements of concessional loans) could result in sustainable fiscal positions for almost all countries in the sample.
Note that equation (1) could also be written using the nominal interest and growth rates (because the inflation elements of both variables would cancel each other out) or in terms of nominal debt and primary balances (by multiplying both sides of the equation by nominal GDP).
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Recent Occasional Papers of the International Monetary Fund
250. Designing Monetary and Fiscal Policy in Low-Income Countries, by Abebe Aemro Selassie, Benedict Clements, Shamsuddin Tareq, Jan Kees Martijn, and Gabriel Di Bella
249. Official Foreign Exchange Intervention, by Shogo Ishi, Jorge Iván Canales-Kriljenko, Roberto Guimarães, and Cem Karacadag. 2006
248. Labor Market Performance in Transition: The Experience of Central and Eastern European Countries, by Jerald Schiff, Philippe Egoumé-Bossogo, Miho Ihara, Tetsuya Konuki, and Kornélia Krajnyák. 2006.
247. Rebuilding Fiscal Institutions in Post-Conflict Countries, by Sanjeev Gupta, Shamsuddin Tareq, Benedict Clements, Alex Segura-Ubiergo, Rina Bhattacharya, and Todd Mattina. 2005.
246. Experience with Large Fiscal Adjustments, by George C. Tsibouris, Mark A. Horton, Mark J. Flanagan, and Wojciech S. Maliszewski. 2005.
245. Budget System Reform in Emerging Economies: The Challenges and the Reform Agenda, by Jack Diamond. 2005.
244. Monetary Policy Implementation at Different Stages of Market Development, by a staff team led by Bernard J. Laurens. 2005.
243. Central America: Global Integration and Regional Cooperation, edited by Markus Rodlauer and Alfred Schipke. 2005.
242. Turkey at the Crossroads: From Crisis Resolution to EU Accession, by a staff team led by Reza Moghadam. 2005.
241. The Design of IMF-Supported Programs, by Atish Ghosh, Charis Christofides, Jun Kim, Laura Papi, Uma Ramakrishnan, Alun Thomas, and Juan Zalduendo. 2005.
240. Debt-Related Vulnerabilities and Financial Crises: An Application of the Balance Sheet Approach to Emerging Market Countries, by Christoph Rosenberg, Ioannis Halikias, Brett House, Christian Keller, Jens Nystedt, Alexander Pitt, and Brad Setser. 2005.
239. GEM: A New International Macroeconomic Model, by Tamim Bayoumi, with assistance from Douglas Laxton, Hamid Faruqee, Benjamin Hunt, Philippe Karam, Jaewoo Lee, Alessandro Rebucci, and Ivan Tchakarov. 2004.
238. Stabilization and Reforms in Latin America: A Macroeconomic Perspective on the Experience Since the Early 1990s, by Anoop Singh, Agnès Belaisch, Charles Collyns, Paula De Masi, Reva Krieger, Guy Meredith, and Robert Rennhack. 2005.
237. Sovereign Debt Structure for Crisis Prevention, by Eduardo Borensztein, Marcos Chamon, Olivier Jeanne, Paolo Mauro, and Jeromin Zettelmeyer. 2004.
236. Lessons from the Crisis in Argentina, by Christina Daseking, Atish R. Ghosh, Alun Thomas, and Timothy Lane. 2004.
235. A New Look at Exchange Rate Volatility and Trade Flows, by Peter B. Clark, Natalia Tamirisa, and Shang-Jin Wei, with Azim Sadikov and Li Zeng. 2004.
234. Adopting the Euro in Central Europe: Challenges of the Next Step in European Integration, by Susan M. Schadler, Paulo F. Drummond, Louis Kuijs, Zuzana Murgasova, and Rachel N. van Elkan. 2004.
233. Germany’s Three-Pillar Banking System: Cross-Country Perspectives in Europe, by Allan Brunner, Jörg Decressin, Daniel Hardy, and Beata Kudela. 2004.
232. China’s Growth and Integration into the World Economy: Prospects and Challenges, edited by Eswar Prasad. 2004.
231. Chile: Policies and Institutions Underpinning Stability and Growth, by Eliot Kalter, Steven Phillips, Marco A. Espinosa-Vega, Rodolfo Luzio, Mauricio Villafuerte, and Manmohan Singh. 2004.
230. Financial Stability in Dollarized Countries, by Anne-Marie Gulde, David Hoelscher, Alain Ize, David Marston, and Gianni De Nicoló. 2004.
229. Evolution and Performance of Exchange Rate Regimes, by Kenneth S. Rogoff, Aasim M. Husain, Ashoka Mody, Robin Brooks, and Nienke Oomes. 2004.
228. Capital Markets and Financial Intermediation in The Baltics, by Alfred Schipke, Christian Beddies, Susan M. George, and Niamh Sheridan. 2004.
227. U.S. Fiscal Policies and Priorities for Long-Run Sustainability, edited by Martin Mühleisen and Christopher Towe 2004.
226. Hong Kong SAR: Meeting the Challenges of Integration with the Mainland, edited by Eswar Prasad, with contributions from Jorge Chan-Lau, Dora Iakova, William Lee, Hong Liang, Ida Liu, Papa N’Diaye, and Tao Wang. 2004.
225. Rules-Based Fiscal Policy in France, Germany, Italy, and Spain, by Teresa Dában, Enrica Detragiache, Gabriel di Bella, Gian Maria Milesi-Ferretti, and Steven Symansky. 2003.
224. Managing Systemic Banking Crises, by a staff team led by David S. Hoelscher and Marc Quintyn. 2003.
223. Monetary Union Among Member Countries of the Gulf Cooperation Council, by a staff team led by Ugo Fasano. 2003.
222. Informal Funds Transfer Systems: An Analysis of the Informal Hawala System, by Mohammed El Qorchi, Samuel Munzele Maimbo, and John F. Wilson. 2003.
221. Deflation: Determinants, Risks, and Policy Options, by Manmohan S. Kumar. 2003.
220. Effects of Financial Globalization on Developing Countries: Some Empirical Evidence, by Eswar S. Prasad, Kenneth Rogoff, Shang-Jin Wei, and Ayhan Kose. 2003.
219. Economic Policy in a Highly Dollarized Economy: The Case of Cambodia, by Mario de Zamaroczy and Sopanha Sa. 2003.
218. Fiscal Vulnerability and Financial Crises in Emerging Market Economies, by Richard Hemming, Michael Kell, and Axel Schimmelpfennig. 2003.
217. Managing Financial Crises: Recent Experience and Lessons for Latin America, edited by Charles Collyns and G. Russell Kincaid. 2003.
216. Is the PRGF Living Up to Expectations?—An Assessment of Program Design, by Sanjeev Gupta, Mark Plant, Benedict Clements, Thomas Dorsey, Emanuele Baldacci, Gabriela Inchauste, Shamsuddin Tareq, and Nita Thacker. 2002.
215. Improving Large Taxpayers’ Compliance: A Review of Country Experience, by Katherine Baer. 2002.
214. Advanced Country Experiences with Capital Account Liberalization, by Age Bakker and Bryan Chapple. 2002.
213. The Baltic Countries: Medium-Term Fiscal Issues Related to EU and NATO Accession, by Johannes Mueller, Christian Beddies, Robert Burgess, Vitali Kramarenko, and Joannes Mongardini. 2002.
212. Financial Soundness Indicators: Analytical Aspects and Country Practices, by V. Sundararajan, Charles Enoch, Armida San José, Paul Hilbers, Russell Krueger, Marina Moretti, and Graham Slack. 2002.
211. Capital Account Liberalization and Financial Sector Stability, by a staff team led by Shogo Ishii and Karl Habermeier. 2002.
210. IMF-Supported Programs in Capital Account Crises, by Atish Ghosh, Timothy Lane, Marianne Schulze-Ghattas, Aleš Bulíř, Javier Hamann, and Alex Mourmouras. 2002.
209. Methodology for Current Account and Exchange Rate Assessments, by Peter Isard, Hamid Faruqee, G. Russell Kincaid, and Martin Fetherston. 2001.
208. Yemen in the 1990s: From Unification to Economic Reform, by Klaus Enders, Sherwyn Williams, Nada Choueiri, Yuri Sobolev, and Jan Walliser. 2001.
207. Malaysia: From Crisis to Recovery, by Kanitta Meesook, Il Houng Lee, Olin Liu, Yougesh Khatri, Natalia Tamirisa, Michael Moore, and Mark H. Krysl. 2001.
206. The Dominican Republic: Stabilization, Structural Reform, and Economic Growth, by a staff team led by Philip Young comprising Alessandro Giustiniani, Werner C. Keller, and Randa E. Sab and others. 2001.
205. Stabilization and Savings Funds for Nonrenewable Resources, by Jeffrey Davis, Rolando Ossowski, James Daniel, and Steven Barnett. 2001.
Note: For information on the titles and availability of Occasional Papers not listed, please consult the IMF’s Publications Catalog or contact IMF Publication Services.