The African Financial Review July-August 2014 | Page 37

E(εi,t) = 0 E(εi,t εi,s )=σ2E si t=s etE(εi,t εi,s)=0 si t ≠ s Implying E(εi,t ε’i) = σ2EIT where IT denotes the identity matrix (Ti,Ti) E(εi,t εj,s) = 0 whatever j ≠ s and whatever (t,s) Findings and discussion of hypotheses: H0 : E(μi/Xi) = 0 ( the random effects estimators are non-biased)
 H1 : E(μi/Xi) ≠ 0 (the random effects estimators are biased).
 μi denotes the individual stochastic component. The P-values associated to the x2(6) statistic within our estimations is about 0.0000 [x2(6) = 51.96] so we conclude that the fixed effect estimator is more consistent to our model. Our model is therefore written as follows:
 INFit = αi + β1 (DEM)it + β2 (POLSTAB)it + β3 (MONgrowth)it + β4 (LnRES)it + β5 (Growth)it + β6 (Trade)it + εit (2) Where αi is the unknown intercept for each entity. αi = α + μi and α refers to the fixed component. We assume that residuals εit are independent, identically distributed (iid) and fulfils the following conditions, whatever i C [1, N] and t C [1, Ti]: The estimation method that we followed is to apply OLS (Least Square Dummy Variables) to our model, in which we have introduced a dummy variable for each country. The objective is to estimate our fixed effects model after correcting the (t) of Student from heteroscedasticty using the White method. This method provides the same values for the parameters estimated by OLS, the difference lies in the estimated standard deviations. Correcting errors from heteroscedasticity provides robust estimators. The estimations results for 124 countries and for the period 19962012 are found overleaf (Table 1) The Fisher-test [F(6,1744) = 8.34] indicates that our explanatory variables are jointly significant at 1% level and the R-Squared value indicates that they explain 30% of the amount of variance of inflation. The signs in the coefficients indicate that greater growth of money and quasi- money, and greater trade openness is associated to more inflation. However, greater growth of GDP, of total reserves and further efforts in insuring democracy and political stability reduce inflation. The positive sign of the estimated coefficient relative to (MONgrowth) variable was expected. The increase of money supply decreases the value of the economy’s medium of exchange, namely money and quasi-money, and, then, produces a rise in price levels. The results indicate that the variable (LnRES) is not statistically significant. But we can explain its negative correlation with the dependent variable by the fact that reserves accumulation produces a currency appreciation which leads to prices decrease. As for the positive relationship between trade openness and inflation, it can be explained by the phenomenon of imported inflation. But this variable hasn’t either a significant effect on inflation. The estimated coefficient of the variable (Growth) gets also the expected sign. As the GDP of given economy grows especially through productivity increase, price should decrease. The results also suggest that political stability is negatively correlated with inflation and this institutional variable is statistically significant at the 5% level. A stable political environment improves the degree of protection of property rights and social cohesion, which has a positive effect on macroeconomic performance. Against by, an unstable political environment improves the rent seeking behaviour, promotes corruption and arbitrary decisions and reduces the state control on the informal sector, which develops the black market and produces price increases. The result that we are mostly interested in concerns the impact of democracy, proxied by the Kaufmann et al. (2012) democracy index. Democracy is statistically significant at the 1% level and is negatively correlated with inflation. This result confirms the above theoretical comments. Democracy, when it is correctly conceptualized, by integrating participation, contestation The African Financial Review | 37