Abstract
This study examines the impact of the anti-inflation stabilization policies on the behavior of inflation in Croatia in the early 1990s and through the subsequent post-stabilization period using fractional integration techniques. Indeed, the implementation of the stabilization program in October 1993 brought immediate deflation with a relative high degree of inflation stability in the post-stabilization period. With allowance for a structural break corresponding to the stabilization program in October 1993, the degree of persistence was substantially reduced with the fractional differencing parameter being positive but close to zero in the post-stabilization period.
This is a preview of subscription content, access via your institution.


Similar content being viewed by others
Notes
For the Fisher effect to hold the inflation rate should contain a unit root and be cointegrated with the nominal interest rate for the real interest rate to be I(0). See Nelson and Schwert (1977), Barsky (1987), Rose (1988), Chapman and Ogaki (1993), Wallace and Warner (1993), Evans and Lewis (1995), Crowder and Hoffman (1996), among others, for discussion of the Fisher effect. As noted by Garcia and Perron (1996), the nonstationarity of real interest rates is problematic for the pricing of options in the Black–Scholes model along with consumption capital asset pricing models as well.
As noted by Yellen and Akerloff (2006), to keep the unemployment rate below the natural rate requires an ever-increasing rate of inflation which implies the non-stationarity of inflation.
Note that stationarity and integration of order zero, I(0), are not the same concept. In the context of fractional integration or I(d) processes, covariance stationarity is satisfied as long as d is smaller than 0.5.
Studies by Culver and Papell (1997), Lee and Wu (2001), Osterholm (2004), Lee et al. (2007), Basher and Westerlund (2008), Cook (2009), Ho (2009), Romero-Avila and Usabiaga (2009), Narayan and Narayan (2010), and Tsong et al. (2012) utilize a variety of panel unit root tests. Henry and Shields (2004), Gregoriou and Kontonikas (2006; 2009), Nobay et al. (2010), and Zhou (2013) employ nonlinear unit root tests. Lee and Tsong (2009) and Tsong and Lee (2010) use bootstrap covariate stationarity tests while Lai (1997) and Cook (2005) employ modified Dickey-Fuller tests; Charemza et al. (2005) use a symmetric stable Paretian distribution with infinite variables in unit root tests; and Chang et al. (2013) utilize flexible Fourier stationarity tests. Hassler and Wolters (1995), Baillie et al. (1996), Baum et al. (1999), Bos et al. (1999), Lee (2005), Gadea and Mayoral (2006), and Meller and Nautz (2012) apply fractional integration techniques to examine the long memory and persistence behavior of inflation.
See Begg (1996), Burton and Fischer (1998), Brada and Kutan (1999), Kutan and Brada (1999), and Ross (2000) regarding the experience of several transition economies in addressing post-stabilization inflation. Due to price liberalization and disruption in trade linkages, all transition economies suffered high inflation and major recessions in the early 1990s. Following initial stabilization programs of the early 1990 s, most transition economies succeeded in lowering inflation but only to moderate levels. According to Roaf et al. (2014), in some cases, such as Romania and Bulgaria, initial attempts at stabilization were unsuccessful. During the early stages of transition, stabilization programs were largely based on nominal anchors, primarily the exchange rate, but in some cases the wage rate, relying on direct controls and quantitative restrictions to implement monetary policy. As transition economies stabilized by the end of the 1990s, many countries began to face a number of additional challenges. For instance, increased capital flows placed pressure on domestic demand making it difficult to maintain a low inflation rate. For those countries with more developed financial institutions, the pegging of nominal exchange rates was abandoned in favor of indirect methods of monetary control. Several transition economies (Poland, Hungary, the Czech Republic, and Slovakia) adopted inflation targeting as a result.
Much of the discussion regarding the anti-inflation stabilization program is drawn from Payne (2002).
See Egert and Lang (2006) on the effectiveness of foreign exchange intervention with respect to the Croatian economy.
In the years up to 2002, Deutche mark was the primary currency and afterwards the euro.
For an overview, see Scheiber and Stixt (2009).
For more on Maastricht criteria, see http://ec.europa.eu/economy_finance/euro/adoption/who_can_join/index_en.htm.
Broz (2010) investigates whether the introduction of the euro is justifiable in the case of Central an Eastern European countries with a special focus on Croatia. Moreover, new European Union members that entered after the euro was launched in 2002 are not eligible for an opt-out clause.
Source for the data is Croatian Bureau of Statistics.
We also examined inflation in the post-stabilization period using the ADF, Phillips-Perron, and KPSS unit root and stationarity tests with an intercept and trend in which the ADF and Phillips-Perron unit root tests reject the null hypothesis of a unit root with test statistics of −77.27 and −64.94, respectively, each statistically significant at the 1 percent level. The KPSS stationarity test fails to reject the null hypothesis of stationarity with a test statistic of 0.112.
References
Abadir KM, Distaso W, Giraitis L (2007) Nonstationarity-extended local whittle estimation. J Econom 141:1353–1384
Anusic Z, Rohatinski Z, Sonje V (1995) A road to low inflation: Croatia 1993/1994. Government of the Republic of Croatia, Zagreb
Arize AC (2011) Are inflation rates really nonstationary? New evidence from nonlinear STAR framework and African data. Int J Econ Finance 3:97–108
Arize AC, Malindretos J, Nam K (2005) Inflation and structural changes in 50 developing countries. Atl Econ J 33:461–471
Babic A (1998) Stopping hyperinflation in Croatia, 1993–1994. Zagreb J Econ 2:71–114
Baillie RT, Chung C-F, Tieslau MA (1996) Analysing inflation by the fractionally integrated ARFIMA-GARCH model. J Appl Econ 11:23–40
Ball L (1993) The dynamics of high inflation, NBER working paper 4578
Barkoulas JT, Baum CF, Chakraborty A (2001) Waves and persistence in merger and acquisition activity. Econ Lett 70:237–243
Barsky RB (1987) The Fisher hypothesis and the forecastability and persistence of inflation. J Monet Econ 19:3–24
Basher SA, Westerlund J (2008) Is there really a unit root in the inflation rate? More evidence from panel data models. Appl Econ Lett 15:161–164
Batini N (2006) Euro area inflation persistence. Empir Econ 31:977–1002
Baum CF, Barkoulas JT, Caglayan M (1999) Persistence in international inflation rates. South Econ J 65:900–913
Beechey M, Osterhom P (2009) Time-varying inflation persistence in the Euro area. Econ Model 26:532–535
Begg DKH (1996) Monetary policy in Central and Eastern Europe: lessons after a half decade of transition. IMF Working Paper WP/96/108. Washington, DC: International Monetary Fund
Ben Nasr A, Ajmi AN, Gupta R (2014) Modeling the volatility of the Dow Jones Islamic market world index using a fractionally integrated time varying GARCH (FITVGARCH) model. Appl Financ Econ 24:993–1004
Bloomfield P (1973) An exponential model in the spectrum of a scalar time series. Biometrika 60:217–226
Bos CS, Frances PH, Ooms M (1999) Long memory and level shifts: re-analyzing inflation rates. Empir Econ 24:427–449
Brada JC, Kutan AM (1999) The persistence of moderate inflation in the Czech Republic. Post-Sov Geogr Econ 40:121–134
Broz T (2010) Introduction of the Euro in CEE countries—is it economically justifiable? The Croatian case. Post-Communist Econ 22:427–447
Burton D, Fischer S (1998) Ending moderate inflations. In: Cottarelli C, Szapary G (eds) Moderate inflation: the experience of transition economies. International Monetary Fund and the National Bank of Hungary, Washington, DC
Calvo G (1983) Staggered prices in a utility-maximizing framework. J Monet Econ 112:383–398
Caporale T, Paxton J (2011) From debt crisis to tequila crisis: inflation stationarity through Mexico’s turbulent decades. Appl Econ Lett 18:1609–1612
Caporale T, Paxton J (2013) Inflation stationarity during Latin American inflation: insights from unit root and structural break analysis. Appl Econ 45:2001–2010
Chang T, Ranjbar O, Tang DP (2013) Revisiting the mean reversion of inflation rates for 22 OECD countries. Econ Model 30:245–252
Chapman R, Ogaki M (1993) Cotrending and the stationarity of the real interest rate. Econ Lett 42:133–138
Charemza WW, Hristova D, Burridge P (2005) Is inflation stationary? Appl Econ 37:901–903
Cheung YW (1993) Tests for fractional integration: a monte carlo investigation. J Time Ser Anal 14:331–345
Clarida R, Gali J, Gertler M (1999) The science of monetary policy: a new Keynesian perspective. J Econ Literat 37:1661–1707
Cook S (2005) Rank-based unit root testing in the presence of structural change under the null: simulation results and an application to U.S. inflation. Appl Econ 37:607–617
Cook S (2009) A re-examination of the stationarity of inflation. J Appl Econom 24:1047–1053
Crowder WJ, Hoffman DL (1996) The long-run relationship between nominal interest rates and inflation: the Fisher equation revisited. J Money Credit Bank 28:102–118
Cuestas JC, Harrison B (2010) Inflation persistence and nonlinearities in Central and Eastern European countries. Econ Lett 106:81–83
Culver SE, Papell DH (1997) Is there a unit root in the inflation rate? Evidence from sequential break and panel data models. J Appl Econom 12:435–444
Dahlhaus R (1989) Efficient parameter estimation for self-similar process. Ann Stat 17:1749–1766
Diebold FX, Inoue A (2001) Long memory and regime switching. J Econom 105:131–159
Egert B, Lang M (2006) Foreign exchange interventions in a small emerging market: the case of Croatia. Econ Change Restruct 39:35–62
Engle RF, Smith AD (1999) Stochastic permanent breaks. Rev Econ Stat 81:553–574
Evans MD, Lewis KK (1995) Do expected shifts in inflation affect estimates of the long-run fisher relation? J Finance 50:225–253
Gadea MD, Mayoral L (2006) The persistence of inflation in OECD countries: a fractionally integrated approach. Int J Centr Bank 2:51–104
Garcia R, Perron P (1996) An analysis of the real interest rate under regime shifts. Rev Econ Stat 78:111–125
Gil-Alana LA (2005) Unit and fractional roots in the presence of abrupt changes with an application to the Brazilian inflation rate. Empir Econ 30:193–207
Gil-Alana LA (2008) Fractional integration and structural breaks at unknown periods of time. J Time Ser Anal 29:163–185
Giraitis L, Kokoszka P, Leipus R (2001) Testing for long memory in the presence of a general trend. J Appl Probabil 38:1033–1054
Granger CWJ, Hyung N (2004) Occasional structural breaks and long memory with an application to the S&P 500 absolute stock return. J Empir Finance 11:399–421
Gregoriou A, Kontonikas A (2006) Inflation targeting and the stationarity of inflation: new results from an ESTAR unit root test. Bull Econ Res 58:309–322
Gregoriou A, Kontonikas A (2009) Modeling the behavior of inflation deviations from the target. Econ Model 26:90–95
Hassler U, Wolters J (1995) Long memory in inflation rates: international evidence. J Bus Econ Stat 13:37–45
Henry OT, Shields K (2004) Is there a unit root in inflation? J Macroecon 26:481–500
Ho T (2009) The inflation rates may accelerate after all: panel evidence from 19 OECD countries. Empir Econ 36:55–64
Kisswani KM, Nusair SA (2014) Nonlinear convergence in Asian interest and inflation rates: evidence from Asian countries. Econ Change Restruct 47:155–186
Kraft E (2003) Monetary policy under dollarisation: the case of Croatia. Comp Econ Stud 45:256–277
Kutan AM, Brada JC (1999) The end of moderate inflation in three transition economies? Working paper (No. 99-003A), Federal Reserve Bank of St. Louis
Lai KS (1997) On the disparate evidence on trend stationarity in inflation rates: a reappraisal. Appl Econ Lett 4:305–309
Lee J (2005) Estimating memory parameter in the U.S. inflation rate. Econ Lett 87:207–210
Lee C-F, Tsong C-C (2009) Bootstrapping covariate stationarity tests for inflation rates. Econ Model 26:1443–1448
Lee H-Y, Wu J-L (2001) Mean reversion of inflation rates: evidence from 13 OECD countries. J Macroecon 23:477–487
Lee C-C, Chang C-P, Lee J-D (2007) Mean reversion of inflation rates in 19 OECD countries: evidence from panel LM unit root tests with structural breaks. Econ Bull 3:1–15
Lobato IN, Savin NE (1998) Real and spurious long memory properties of stock market data. J Bus Econ Stat 16:261–268
Majsterek M, Welfe A (2012) Price-wage nexus and the role of a tax system. Econ Change Restruct 45:121–133
Martin C, Milas C (2004) Modelling monetary policy: inflation targets in practice. Economia 71:209–221
Meller B, Nautz D (2012) Inflation persistence in the euro area before and after the European Monetary Union. Econ Model 29:1170–1176
Mikosch T, Starica C (2004) Nonstationarities in financial time series, long range dependence and the IGARCH model. Rev Econ Stat 86:378–390
Narayan PK, Narayan S (2010) Is there a unit root in the inflation rate? new evidence from panel data models with multiple structural breaks. Appl Econ 42:1661–1670
Nelson CR, Plosser CI (1982) Trends and random walks in macroeconomic time series: some evidence and implications. J Monet Econ 10:139–162
Nelson CR, Schwert GW (1977) Short-term interest rates as predictors of inflation: on testing the hypothesis that the real interest of inflation is constant. Am Econ Rev 67:478–486
Nobay B, Paya I, Peel DA (2010) Inflation dynamics in the U.S.: global but not local mean reversion. J Money Credit Bank 42:135–150
O’Reilly G, Whelan K (2005) Has Euro-area inflation persistence changed over time? Rev Econ Stat 87:709–720
Orphanides A, Wieland U (2000) Inflation zone targeting. Europ Econ Rev 44:1351–1387
Osterholm P (2004) Killing four unit root birds in the US economy with three panel unit root test stones. Appl Econ Lett 11:213–216
Payne JE (2002) Inflationary dynamics of a transition economy: the Croatian experience. J Policy Model 24:219–230
Perron P (1989) The great crash, the oil price shock, and the unit root hypothesis. Econometrica 57:1361–1401
Roaf J, Atoyan R, Joshi B, Krogulski K (2014) 25 years of transition post-communist Europe and the IMF. Regional Economic Issues Report, International Monetary Fund, Washington, DC
Robinson PM (1994) Efficient tests of nonstationary hypotheses. J Am Stat Assoc 89:1420–1437
Robinson PM (1995) Gaussian semi-parametric estimation of long range dependence. Ann Stat 23:1630–1661
Rodriguez G (2004) An empirical note about additive outliers and nonstationarity in Latin American inflation series. Empir Econ 29:361–372
Romero-Avila D, Usabiaga C (2009) The hypothesis of a unit root in OECD inflation revisited. J Econ Bus 61:153–161
Rose A (1988) Is the real interest rate stable? J Finance 43:1095–1112
Ross KL (2000) Post-stabilization inflation dynamics in Slovenia. Appl Econ 32:135–150
Scheiber T, Stix H (2009) Euroization in Central, Eastern and Southeastern Europe—new evidence on its extent and some evidence on its causes, working paper, No, 159, Vienna: Austrian National Bank
Sonje V, Nestic D (1994) Stopping high inflation in an ex-socialist country: the case of Croatia, 1993–1994. Croatian Economic Survey, pp 19–59
Taylor JB (1979) Estimation and control of a macroeconomic model with rational expectations. Econometrica 47:1267–1268
Taylor JB (1985) What would nominal GNP targeting do to the business cycle? Carnegie-Rochester Conference Series on Public Policy 22:61–84
Tsong C-C, Lee C-F (2010) Testing for stationarity of inflation rates with covariates. South African J Econ 78:344–362
Tsong C-C, Lee C-F, Lee C-C (2012) A revisit to the stationarity of OECD inflation: evidence from panel unit root tests and the covariate point optimal test. Jpn Econ Rev 63:380–396
Wallace MS, Warner JT (1993) The Fisher effect and the term structure of interest rates: tests of cointegration. Rev Econ Stat pp 320–324
Yellen JL, Akerloff GA (2006) Stabilization policy: a reconsideration. Econ Inq 44:1–22
Yoon G (2003) The time series behavior of Brazilian inflation rates: new evidence from unit root tests with good size and power. Appl Econ Lett 10:627–631
Zhang C, Clovis J (2009) Modeling U.S. inflation dynamics: persistence and monetary policy regimes. Empir Econ 36:455–477
Zhang C, Clovis J (2010) China inflation dynamics: persistence and policy regimes. J Policy Model 32:373–388
Zhou S (2013) Nonlinearity and stationarity of inflation rates: evidence from Euro-zone countries. Appl Econ 45:849–856
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gil-Alana, L.A., Mervar, A. & Payne, J.E. The stationarity of inflation in Croatia: anti-inflation stabilization program and the change in persistence. Econ Change Restruct 50, 45–58 (2017). https://doi.org/10.1007/s10644-016-9181-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10644-016-9181-2