The assessment of potential output and the output gap holds significant im-portance for policymakers, as it serves as a cornerstone for maintaining macroeconomic stability encompassing aspects such as real GDP growth, price stability, and full employment. This study investigates various meth-odologies employed to estimate potential output and the output gap in Rwanda, utilizing seasonally adjusted quarterly data spanning from 2006Q1 to 2021Q4. Initially, we explore mechanical or statistical approaches includ-ing Hodrick-Prescott, linear time trend, Beveridge Nelson decomposition, and unobserved component model. Additionally, a multivariate approach, specifically the production function approach, is employed. Diagnostic eval-uations, such as assessing Granger causality between the output gap and in-flation, are conducted using Rwandan data from 2006 Q1 to 2021 Q4 to dis-cern potential linkages. The findings across different methodologies suggest that the output gap fluctuates within a range of ?6 to 6 during normal condi-tions; the primary implication underscores the necessity for fiscal and mon-etary policies to respond to positive and negative output gaps, respectively, thereby mitigating inflationary pressures and recessionary periods while fostering sustained economic growth. The study investigates the correlation between the output gap and inflation, revealing a robust causal relationship between the two factors in the Rwandan economy.
Cite this paper
Niyonsenga, J. C. and Richard, K. (2024). Output Gap and Inflation in Rwanda. Open Access Library Journal, 11, e2120. doi: http://dx.doi.org/10.4236/oalib.1112120.
Osman, M., Louis, R. and Balli, F. (2008) Which Output Gap Measure Matters for the Arab Gulf Cooperation Council Countries (AGCC): The Overall GDP Out-Put Gap or the Non-Oil Sector Output Gap?
Cerra, V. and Saxena, S. (2000) Alternative Methods of Estimating Potential Output and Output Gap: An Application to Sweden. SSRN Electronic Journal. https://doi.org/10.2139/ssrn.3923379
Ouliaris, S., Pagan, A. and Restrepo, J. (2016) Quantitative Macroeconomic Modeling with Structural Vector Autoregressions—An Reviews Implementation. IHS Global, 13.
Michaelides, P. and Milios, J. (2009) TFP Change, Output Gap and Inflation in the Russian Federation (1994-2006). Journal of Economics and Business, 61, 339-352. https://doi.org/10.1016/j.jeconbus.2008.10.001
Fedderke, J.W. (2018) Exploring Unbalanced Growth: Understanding the Sectoral Structure of the South African Economy. Economic Modelling, 72, 177-189. https://doi.org/10.1016/j.econmod.2018.01.012
Kuttner, K.N. (1994) Estimating Potential Output as a Latent Variable. Journal of Business & Economic Statistics, 12, 361-368. https://doi.org/10.1080/07350015.1994.10524551
Laxton, D. and Tetlow, R. (1992) A Simple Multivariate Filter for the Measurement of Potential Output, Volume 59. Bank of Canada Technical Report No. 59.
Galí, J., Gertler, M. and David López-Salido, J. (2005) Robustness of the Estimates of the Hybrid New Keynesian Phillips Curve. Journal of Monetary Economics, 52, 1107-1118. https://doi.org/10.1016/j.jmoneco.2005.08.005
Stock, J.H. and Watson, M.W. (1999) Chapter 1. Business Cycle Fluctuations in Us Macroeconomic Time Series. In: Handbook of Macroeconomics, Elsevier, 3-64. https://doi.org/10.1016/s1574-0048(99)01004-6
Staehr, K. (2004) Economic Transition in Estonia. Background, Reforms and Results. Contemporary Change in Estonia, Baltic and East European Studies, 4, 37-67.
Budova, J., Sulikova, V. and Sinicakova, M. (2023) When Inflation Again Matters: Do Domestic and Global Output Gaps Determine Inflation in the EU? Amfiteatru Economic, 25, 575. https://doi.org/10.24818/ea/2023/63/575
Panovska, I. and Ramamurthy, S. (2022) Decomposing the Output Gap with Inflation Learning. Journal of Economic Dynamics and Control, 136, Article ID: 104327. https://doi.org/10.1016/j.jedc.2022.104327
Valadkhani, A. (2014) Switching Impacts of the Output Gap on Inflation: Evidence from Canada, the UK and the US. International Review of Economics & Finance, 33, 270-285. https://doi.org/10.1016/j.iref.2014.06.001
Dupasquier, C., Guay, A. and St-Amant, P. (1997) A Comparison of Alternative Methodologies for Estimating Potential Output and the Output Gap. SSRN Electronic Journal. https://doi.org/10.2139/ssrn.48281
Gerlach, S. and Smets, F. (1999) Output Gaps and Monetary Policy in the EMU Area. European Economic Review, 43, 801-812. https://doi.org/10.1016/s0014-2921(98)00095-6
Hodrick, R.J. and Prescott, E.C. (1997) Postwar U.S. Business Cycles: An Empirical Investigation. Journal of Money, Credit and Banking, 29, 1-16. https://doi.org/10.2307/2953682
Harvey, A.C. and Jaeger, A. (1993) Detrending, Stylized Facts and the Business Cycle. Journal of Applied Econometrics, 8, 231-247. https://doi.org/10.1002/jae.3950080302
DeSerres, A., Guay, A. and St-Amant, P. (1995) Estimating and Projecting Potential Output Using Structural var Methodology: The Case of the Mexican Economy. Technical Report, Bank of Canada.
Hodrick, R.J. (2020) An Exploration of Trend-Cycle Decomposition Methodologies in Simulated Data. Technical Report, National Bureau of Economic Research.
Kaiser, R. and Maravall, A. (1999) Estimation of the Business Cycle: A Modified Hodrick-Prescott Filter. Spanish Economic Review, 1, 175-206. https://doi.org/10.1007/s101080050008
Mise, E., Kim, T. and Newbold, P. (2005) On Suboptimality of the Hodrick-Prescott Filter at Time Series Endpoints. Journal of Macroeconomics, 27, 53-67. https://doi.org/10.1016/j.jmacro.2003.09.003
Nelson, C.R. and Plosser, C.R. (1982) Trends and Random Walks in Macroeconmic Time Series: Some Evidence and Implications. Journal of Monetary Economics, 10, 139-162. https://doi.org/10.1016/0304-3932(82)90012-5
Beveridge, S. and Nelson, C.R. (1981) A New Approach to Decomposition of Economic Time Series into Permanent and Transitory Components with Particular Attention to Measurement of the ‘business Cycle’. Journal of Monetary Economics, 7, 151-174. https://doi.org/10.1016/0304-3932(81)90040-4
Harvey, A.C. and Koopman, S.J. (1992) Diagnostic Checking of Unobserved-Components Time Series Models. Journal of Business & Economic Statistics, 10, 377-389. https://doi.org/10.1080/07350015.1992.10509913
Planas, C. and Rossi, A. (2004) Can Inflation Data Improve the Real‐Time Reliability of Output Gap Estimates? Journal of Applied Econometrics, 19, 121-133. https://doi.org/10.1002/jae.726
Durbin, J. and Koopman, S.J. (2012). Time Series Analysis by State Space Methods. Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199641178.001.0001
Arnold, R.W. (2009) The Challenges of Estimating Potential Output in Real Time. Federal Reserve Bank of St. Louis Review, 91, 271-290. https://doi.org/10.20955/r.91.271-290
Barkema, J., Gudmundsson, T. and Mrkaic, M. (2020) What Do We Talk about When We Talk about Output Gaps? SSRN Electronic Journal. https://doi.org/10.2139/ssrn.3758093
Debelle, G. and Vickery, J. (1998) Is the Phillips Curve a Curve? Some Evidence and Implications for Australia. Economic Record, 74, 384-398. https://doi.org/10.1111/j.1475-4932.1998.tb01933.x
Clark, T.E. and McCracken, M.W. (2006) The Predictive Content of the Output Gap for Inflation: Resolving In-Sample and Out-of-Sample Evidence. Journal of Money, Credit, and Banking, 38, 1127-1148. https://doi.org/10.1353/mcb.2006.0068
Aastveit, K.A. and Trovik, T. (2014) Estimating the Output Gap in Real Time: A Factor Model Approach. The Quarterly Review of Economics and Finance, 54, 180-193. https://doi.org/10.1016/j.qref.2013.09.003
Rummel, O. (2015) Estimating the Output Gap for Kenya: A Practical Guide to Some Statespace and Kalman Filter Trend-Cycle Decompositions. Centre for Central Banking Studies, Bank of England.
Furlanetto, F., Gelain, P. and Taheri Sanjani, M. (2021) Output Gap, Monetary Policy Trade-Offs, and Financial Frictions. Review of Economic Dynamics, 41, 52-70. https://doi.org/10.1016/j.red.2020.07.004
Cotis, J.-P., Elmeskov, J. and Mourougane, A. (2004) Estimates of Potential Output: Benefits and Pitfalls from a Policy Perspective. In: Reichlin, L., Ed., Euro Area Business Cycle: Stylized Facts and Measurement Issues, Centre for Economic Policy Research, 35-60.
De Brouwer, G., et al. (1998) Methods of Estimating the Output Gap|RDP 9809: Esti-mating Output Gaps. Reserve Bank of Australia Research Discussion Papers.