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Emerging Markets Review 2 Ž2001. 263᎐279 Does the inflation rate affect the performance of the stock market? The case of Egypt Mohammed Omrana , John Pointonb,U a Arab Academy for Science and Technology and Maritime Transport, College of Management and Technology, Alexandria, Egypt b Uni¨ ersity of Plymouth Business School, Drake Circus, Plymouth, De¨ on PL4 8AA, UK Received 1 September 2000; received in revised form 10 April 2001; accepted 17 April 2001 Abstract The intention of this paper is to examine the impact of the inflation rate on the performance of the Egyptian stock market. Particular attention is paid to the effects of the rate of inflation on various stock market performance variables, in terms of market activity and market liquidity. From the co-integration analysis through error correction mechanisms ŽECM., significant long-run and short-run relationships between the variables are found, implying that the inflation rate has had an impact upon the Egyptian stock market performance generally. 䊚 2001 Elsevier Science B.V. All rights reserved. JEL classifications: C12; C22; E44; G10; N25; O11 Keywords: Inflation rate; Stock market; Egypt; Co-integration and error correction mechanism ŽECM. 1. Introduction Countries around the world have achieved significant reductions in the general rate of inflation. For emerging economies, controlling inflation has been a high priority, and there needs to be an evaluation of economic reform on emerging U Corresponding author. Tel.: q44-1752-232-865; fax: q44-1752-232-493. E-mail address: [email protected] ŽJ. Pointon.. 1566-0141r01r$ - see front matter 䊚 2001 Elsevier Science B.V. All rights reserved. PII: S 1 5 6 6 - 0 1 4 1 Ž 0 1 . 0 0 0 2 0 - 6 264 M. Omran, J. Pointon r Emerging Markets Re¨ iew 2 (2001) 263᎐279 stock markets. This paper focuses upon Egypt as an important example of a successful economic experiment within the Middle East region. Since inflation has tended to have a negative impact on stock market performance, such economic policies have benefited the stock markets. Many academic investigations into the impact of inflation have concentrated upon the effects on returns to investors. It should be mentioned that the market index in Egypt was established in late 1993. This means that to analyze statistically the impact on returns is not sensible for such a short period of time. However, other aspects of stock market performance, such as market activity and liquidity have been neglected. Yet, it is particularly important for policy-makers to look at market activity and liquidity, since these give indicators of the market’s attraction as a channel for investment and a source of finance for businesses When Egypt started its economic reform program by late 1990, the inflation rate had been targeted to be under control in order to create an attractive environment for investment. With regard to this program, Egypt has witnessed major and radical changes in its economic climate. The aim of this program was to increase the growth rate of the economy. This objective is not likely to be achieved without increasing the level of investment. In turn, this investment can be obtained through creating a strong stock exchange market that is capable of attracting local and foreign investment. In fact, it was vital for the Egyptian economy to depress the high inflation rate in the first stage of the economic reform program period. In turn, the government chose to restrict the demand for goods and services by putting the inflation rate under control in the short-term, since the other alternative, which represented an increase in the supply of goods and services, usually, needs a long time. In light of this, the Egyptian government introduced treasury bills in 1991 followed by treasury bonds Ž5᎐10 years. in 1995. In the meantime, the rates of interest liberalized and real interest rates became positive, and in turn, all these procedures helped in absorbing the level of liquidity. As a conclusion, the liquidity growth declined from over 27% in 1990r1991 to only 8.7% in 1997r1998 ŽCentral Bank of Egypt 1998.. On the other hand, the decline in the budget deficit, combined with a relatively stable exchange rate, assisted in decreasing the rate of inflation. This paper will focus upon examining the impact of the inflation rate on the stock market activity and liquidity in Egypt. In turn, we will consider previous empirical studies on inflation and stock prices and returns, the background literature, the hypotheses, and the data set and then move on to set out the methodology based on co-integration analysis. The results of the analysis will then follow, before the summary and conclusions. 2. Literature review The impact of inflation on the Egyptian stock market does not appear to have been the subject of prior study. However, Omran and Pointon Ž2000. examined the cost of capital in Egypt based on a sample of 109 companies, although their M. Omran, J. Pointon r Emerging Markets Re¨ iew 2 (2001) 263᎐279 265 investigation was a cross-sectional study, rather than a time series analysis. Also, their main focus was upon variations across industries. However, they observed that, based upon an international comparison of 41 countries, Egypt has a very high cost of equity exceeded only by Peru, Pakistan and Columbia. They note that Egypt is a fairly new emerging market, despite its very early beginnings, so there may be a high perceived risk, but that even the Treasury bill rate was high, approximately 9% in 1998. In turn, the treasury bill rate is likely to reflect to some extent the inflation rate, in that investors demand maintaining their purchasing power. The experience of a high cost of capital suggests that inflationary effects may have had an impact on the performance of the individual firms. It is therefore, of intrinsic importance to examine the impact of inflation on the stock market in Egypt. The results have relevance to other markets, such as the recent experience in Turkey. In theory, there is a case to support the view that since the rate of inflation means an increase in the general level of prices, and since common stocks can be considered as capital goods, then the stock prices should move with the general level of prices. So, when the general inflation rate increases, common stocks should also increase to compensate investors for the decrease in the value of money. In this framework, it is expected that there is a positive relationship between the inflation rate and stock prices. However, early empirical studies demonstrated a negative relationship between the inflation rate and stock returns Žsee, Lintner, 1975; Bodie, 1976; Jaffe and Mandelker, 1976; Nelson, 1976; Fama and Schwert, 1977.. In fact, the inverse relationship between a higher inflation rate and lower common stock prices according to Feldstein Ž1980a. results from basic features of US tax laws, particularly, historic cost depreciation and the taxation of nominal capital gains. This is also reinforced by others studies Žsee, e.g. Feldstein and Summers, 1979; Feldstein, 1980b, 1982; Summers, 1981a,b; Pindyck, 1984; Fama, 1981.. Dokko and Edelstein Ž1987. examined this relationship in the US market by using the Mundell Ž1963. wealth-effect hypothesis, and the Darby Ž1975. tax-effect hypothesis. The results of their study indicated that a negative relationship exists between the level of expected inflation and the expected real stock market returns. Chen et al. Ž1986. used monthly data for the period 1958᎐1984 to test the impact of the inflation rate on stock prices. In fact, they defined three variables related to the inflation rate: expected inflation; the change in expected inflation; and unanticipated inflation, and found a significantly negative relationship between the inflation variables and stock prices. Similarly, Chen and Jordan Ž1993. found the same result for the same variables. Benderly and Zwick Ž1985. and Titman and Warga Ž1989., however, suggested there exists a structural relationship between the inflation rate and stock returns arising from the real balance effect pertaining only to a period of adjustment rather than to a long-run equilibrium. In an Italian study, Bottazzil and Corradi Ž1991. investigated the variability of the risk premium in the stock market over the period 1978᎐1989 and found that the acceleration of the inflation rate is negatively related to stock prices. They added: 266 M. Omran, J. Pointon r Emerging Markets Re¨ iew 2 (2001) 263᎐279 ‘Since equities are claims against physical assets, whose returns are not affected by inflation, they should be considered as an ideal hedge against inflation’. ŽBottazzil and Corradi Ž1991., p. 338.. On the other hand, other empirical studies have examined this issue in the shortand long-term. For example, Boudoukh and Richardson Ž1993. used annual data on inflation, stock returns and short- and long-term interest rates over the period 1802᎐1990. Covering both the UK and US markets, the data were obtained from Siegel Ž1992. and Schwert Ž1990.. To look at the contemporaneous relationship between the inflation rate and the stock market, the study regressed 1-year stock returns on the 1-year inflation rate, and 5-year stock returns on the 5-year inflation rate. The results of this study revealed a negative relationship between the inflation rate and stock returns in the short-term, but in a long-horizon, this relationship tended to be positive. Again, Boudoukh et al. Ž1994. investigated the cross-sectional relationship between expected inflation and the industry sorted stock returns. Using monthly data for the period 1953᎐1990, sorting the firms into 22 industry sectors and using regression analysis, they found that the direction of relationship between expected inflation and the industry group is linked to cyclical movements in industry output and, specifically, stock returns of cyclical industries co-vary negatively with expected inflation, while the non-cyclical industries co-vary positively. They also found a negative relationship for short horizons and a positive relationship for long horizons. In fact, all the above empirical studies focused on the relationship between the inflation rate and stock returns and prices in the developed countries, especially the UK and the US. In turn, little is known about the impact of inflation rates on a broader menu of countries. In this framework, Asprem Ž1989. and Wasserfallen Ž1989. explored the relationship between macroeconomic variables, and stock prices and asset portfolios in European countries. They found a negative relationship between the inflation rate and stock prices. Also, Najand and Rahman Ž1991. argued that the volatility of inflation increases the volatility of stocks, thus in turn causing a higher required rate of return on stocks, which means a fall in stock prices. Erb et al. Ž1995. examined the interaction between the inflation rate and both the time-series and cross-section of expected stock returns in 41 developed and emerging equity markets. The result of this study confirmed the negative time-series relationship between realized inflation and realized asset returns when examined country-bycountry. The study found that the negative relationship is maintained when longer horizon returns are examined, otherwise, when this study investigated the relationship between long-term inflation and long-horizon asset returns, it did not find a positive relationship between both variables. Hence, this suggested that international equity returns fail to serve as an inflation hedge, even if the equities are held over long horizons. Furthermore, on a country-by-country basis, equity returns do not serve as an inflation hedge. Other studies, however, have indicated that the relationship between the inflation rate and international stock returns tend to be M. Omran, J. Pointon r Emerging Markets Re¨ iew 2 (2001) 263᎐279 267 positive in the long horizons ŽBoudoukh and Richardson, 1993; Boudoukh et al., 1994.. However, from most of the empirical studies shown above, it can be concluded that, contrary to economic theory and common sense, a significant negative relationship between the rate of inflation and stock returns is found. It is important to observe that these empirical studies have concentrated mainly on stock prices and returns as indicators of stock market performance. However, it can be argued that the changes in the inflation rate may also affect other aspects of stock market performance, such as market activity and market liquidity, in turn this paper will examine these neglected aspects. 3. Hypotheses Five main stock market activity variables have been identified, namely, the value of trade, the volume of trade, the number of transactions, the number of traded companies and the value of new issues Žincluding capital increases .. Additionally, the total value traded to market capitalization and the volume of shares traded to the volume of shares listed have been identified as referring to market liquidity. This leads to two main hypotheses that can be formally stated. 䢇 䢇 H1: the market activity increases as the inflation rate decreases. The above hypothesis includes several sub-hypotheses as follows: ` H1r1: the value of trade increases as the inflation rate decreases. ` H1r2: the volume of trade increases as the inflation rate decreases. ` H1r3: the number of transactions increases as the inflation rate decreases. ` H1r4: the number of traded companies increases as the inflation rate decreases. ` H1r5: the value of new issues Žincluding capital increases . increases as the inflation rate decreases. H2: the market liquidity increases as the inflation rate decreases. The above hypothesis can, in turn, be divided into sub-hypotheses as follows: ` H2r1: the total value traded to market capitalization increases as the inflation rate decreases. ` H2r2: the volume of shares traded to the volume of shares listed increases as the inflation rate decreases. 4. Data set The data of this paper cover the period from 1980r1981 to 1997r1998, which incorporates time periods prior to and after the introduction of the economic reform program. The Central Bank of Egypt, the Egyptian Cabinet Information 268 M. Omran, J. Pointon r Emerging Markets Re¨ iew 2 (2001) 263᎐279 and Decision Support Center and the International Monetary Fund have been consulted as the sources for the inflation data series. Egypt’s Capital Market Authority and the Central Bank of Egypt were the source of these data. Because of limitations in the availability of data, annual figures are used in the analysis. This means that an important caveat to the results is that a longer period of study, or more frequent observations, may perhaps have provided different implications. However, the importance here is to investigate broad inflationary effects upon market performance in terms of activity and liquidity. Nevertheless, although these are arguably crucial to the smooth functioning of the stock markets, the results need to be considered within the context of the data set. 5. Methodology: co-integration analysis In the analysis of time series data, both long-run and short-run relationships often co-exist. The dynamics of both long- and short-run effects can be modeled by introducing error correction mechanisms ŽECMs. to enable a simultaneous evaluation of both processes ŽBanerjee et al., 1986; Engle and Granger, 1987.. But first, there should be a test for the order of integration ŽDickey and Fuller, 1979.. The basic approach is to run a simple linear model of values at time t regressed against values of the same variable at time t y 1. This is clearly an autoregression, since the variable is regressed upon its previous value. In the regression, if the coefficient of the variable at time t y 1 is less than 1, then the variable at time t is said to be integrated of order zero. The test is known as a unit root test. The predicted value of the variable at time t, according to the product of the actual value at time t y 1 and the autoregressive coefficient, is likely to differ from its actual value. These error terms through time may be related, i.e. there may be an autocorrelation in the error process. To help overcome this Dickey and Fuller Ž1981. use a multiple regression, instead of a simple regression, containing extra components to represent changes in earlier values of the variable for selected lags. These lags should be relatively small in order to save some degrees of freedom. The corresponding tests are known as augmented Dickey᎐Fuller ŽADF. unit root tests. If the underlying variable is not integrated of order zero then a new model is set up that is based upon the same procedure, except that the change in the value of the variable from time t y 1 to time t is regressed against the change in the variable from t y 2 to t y 1. This is known as first differencing. If the autoregressive coefficient is less than 1, then the variable is integrated of order 1. The same process is repeated, if necessary, to test for higher orders of integration. In this way if the raw data are not stationary, then they are first differenced, or second differenced until stationarity is achieved. In this paper, the ADF unit root tests were performed to determine the order of integration for both the inflation rate and the chosen stock market performance variables using the Personal Computer Generalized Instrumental Variables Estimators ŽPCGIVE. Version 8.0 ŽDoornik and Hendry, 1994.. Table 1 reveals the results of the augmented Dickey-Fuller unit root tests for the order of integration. M. Omran, J. Pointon r Emerging Markets Re¨ iew 2 (2001) 263᎐279 269 Integrations of order zero were not found, and so the variables had to have a higher order of integration. On first-differencing, it was found that they were each integrated of order one. The capital market variables were first log-transformed to help linearize the data. For the number of traded companies and the value of new issues Žincluding capital increases . a lag of 1 year was used in the multiple regressions. The ADF statistic, for the number of transactions was significant at the 5% level. The remaining variables were significant at the 1% level. As to the inflation rate, the raw data were used without a log transformation. Again, the order of integration was one, with an ADF statistic significant at the 1% level. The next step was to determine whether the variables, that were integrated of the same order, exhibited a co-integrating relationship. This means that they cannot drift too far apart through time ŽDickey et al., 1991.. For example, the inflation rate was found to have the same order of integration as the log-value of each stock market variable. Thus, simple regressions can be performed. For example, the logarithm of the value of trade at time t is regressed against the rate of inflation at time t. From this regression the residuals are saved. This means that differences between each actual observed logarithm of the value of trade and the respective estimated logarithm of the value of trade Žfrom the regression. are saved as a vector. The changes in the residuals between adjacent points in time are defined as the error correction mechanism ŽECM.. These changes are tested to determine their Table 1 Augmented Dickey᎐Fuller unit root tests for stock market variables and the inflation rate Selected variable Transformation of variable Order of integration Selected lags ADF statistic Value of trade Volume of trade Number of transactions Number of traded companies Value of new issues Žincluding capital increases . Total value traded to market capitalization Volume of shares traded to volume of shares listed Inflation rate Log Log Log One One One Zero Zero Zero y2.306UU y2.89UUU y2.12UU Log One One y3.176UUU Log One One y2.967UUU Log One Zero y3.89UUU Log One Zero y2.80UUU None One Zero y3.285UUU UU denotes critical at 5%, UUU denotes critical at 1%. 270 M. Omran, J. Pointon r Emerging Markets Re¨ iew 2 (2001) 263᎐279 order of integration using the same procedure as earlier ŽCharemza and Deadman, 1992.. If the ECM is integrated of order zero, then the variables are co-integrated ŽEngle and Granger, 1991.. Conversely, the Granger Representation Theorem points out that co-integrated variables must have an error correction representation ŽEngle and Granger, 1987.. But changes in the dependent variable can also reflect disequilibria between the dependent and independent variables ŽDolado et al., 1990.. Therefore, given a stationary residual in the long-run static equation, the next stage is to regress the difference in, say, the change in the value of trade from t y 1 to t against: the change in the value of trade from t y 2 to t y 1, and similarly for earlier lags; as well as the difference in the inflation rate from t y 1 to t, and similarly for earlier lags; and also the error correction mechanism at time t y 1 Žsee, for example, Thomas, 1997.. The result is a first-differenced autoregressive distributed lag model with an error correction mechanism. A simplification search is carried out in a systematic manner involving the gradual elimination of apparently unimportant lagged variables. To reduce the general model, a two-tailed t-test with a 10% level of significance will be used to eliminate non-significant variables until no further reductions are feasible. Strictly, general-to-specific models will be reduced using the criteria shown above, up to the point where the right-hand side of the EC model contains at least one differenced independent variable Žfor the inflation rate. and the lagged ECM, which represents the basic form of the EC model. For each bivariate relationship, once the final version from EC models have been specified, various diagnostic tests are run in order to test for the power of the models Žsee Appendix A.. 6. Results and analysis 6.1. Modeling the impact of the inflation rate upon market acti¨ ity through error correction models The ADF unit root tests indicated that the inflation rate and all market activity variables have the same order of integration, that is, these variables are integrated of order 1. In turn, static long-run regressions have been performed using ordinary least squares ŽOLS. to test for co-integration relationships between the variables. The outputs of this analysis are given in Table 2, which summarizes the results of this test. The results from ADF unit root tests upon the residuals, from each bivariate static long-run equation given in Table 2, indicated clearly that the residuals from the five static long-run equations are integrated of order zero, suggesting that the variables in each bivariate relationship are co-integrated, that is, there is a long-run relationship between these variables. Additionally, the long-run relationships between these market activity variables and the inflation rate are negative. However, since ADF unit root tests have a low power, EC models can support or refute the co-integration relationship between the variables explaining both long- and M. Omran, J. Pointon r Emerging Markets Re¨ iew 2 (2001) 263᎐279 271 Table 2 Static long-run models for the impact of the inflation rate upon market activity variables Variables y1,t y2,t y3,t y4,t y5,t Constant Inflation Constant Inflation Constant Inflation Constant Inflation Constant Inflation Coefficient S.E. t-Prob. 9.8830 y23.747 5.7633 y17.842 13.968 y25.161 6.3300 y7.3525 10.395 y20.228 0.74919 3.7568 0.44887 2.2508 0.70823 3.5514 0.33344 1.6720 0.45794 2.2963 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0004 0.0000 0.0000 F-Prob. R2 0.0000 0.7140 0.0000 0.797 0.0000 0.7583 0.0004 0.547 0.0000 0.829 Notes: y 1 s value of trade; y 2 s volume of trade; y 3 s number of transactions; y4 s number of traded companies; y5 s value of new issues Žincluding capital increases .. short-run relationships simultaneously. With regard again to the data series, they indicated that there is a slow response of most stock market performance variables to the changes in the inflation rate, in turn both dependent and independent variables will be lagged up to 3 years in the EC models. Clearly, this may give more information about the best model, which can represent the best relationship between the variables. So, the chosen model has been decided, taking into consideration the probability of the F statistic, the number of insignificant variables in the equation, mainly, ECM and the independent variable, the R 2 and also the degrees of freedom. The EC models, in turn, will explain both the long- and short-run relationship simultaneously, as the ECM coefficients are expected to capture the adjustments of differenced-dependent and independent variables towards long-run equilibrium, whereas the coefficients on differenced-dependent and independent variables are expected to capture the short-run dynamics of the model. The results from the EC models can be seen in Table 3. As shown in Table 3, the selected inflation rate models, which treat market activity as a dependent variable, contain significant ECMs without exception. The ECMs were significant at the 1% level for the first four variables: the value of trade; the volume of trade; the number of transactions; and the number of traded companies. The ECMs were significant at the 5% level for the value of new issues Žincluding capital increases .. The inflation rate model of the relationship with the value of trade contains a significant ECM without a lag for the differenced inflation rate and a lag of 1 and 3 for the differenced autoregressive variable. With regard to the sign of the coefficients of the independent variable from the static long-run equation given in Table 3, it was found to be negative, suggesting that there is a negative long-run relationship between the variables. In the meantime, the differenced inflation rate without a lag was significant at the 10% level, suggesting a short-run relationship between the variables. In addition, the differenced value of trade with a lag of 1 M. Omran, J. Pointon r Emerging Markets Re¨ iew 2 (2001) 263᎐279 272 and 3 years was significant at the 5 and the 10% level, respectively, implying that the value of trade may be affected in the short run by its previous performance. Since the ECM indicated a significant effect as well as the differenced independent variable, the hypothesis, which stated that the value of trade increases as the inflation rate decreases, cannot be rejected, implying a negative long- and short-run relationship between the variables. With regard to the inflation rate model of the relationship with the volume of trade, the results showed that this model contains a significant ECM with a lagged differenced inflation rate of 1 and 3 years and a lagged differenced autoregressive variable of 1 year, that is confirming the co-integration relationship found in the previous analysis. The lagged differenced-dependent variable for 1 year was significant at the 10% level, suggesting that the value of trade may be affected in the short-run by its performance in the previous year. In addition, the coefficient of the Table 3 Specific error correction models for the impact of the inflation rate upon market activity variables Dependent variable Ždifferenced. Autoregressive variables Ždifferenced. Independent variables Ždifferenced. or constant Error-correction mechanism R2 Ž F-prob.. Value of trade Ž t . Value of trade Ž t y 1.UU Inflation Ž t .U ConstantUUU ECM Ž t y 1.UUU 66% Ž3%. Value of trade Ž t y 3.U Volume of trade Ž t . Volume of trade Ž t y 1.U Inflation Ž t y 1. Inflation Ž t y 3.U ConstantUUU ECM Ž t y 1.UUU 57% Ž7.5%. Number of trans. Ž t . Number of trans.Ž t y 2.U Inflation Ž t y 1.U Inflation Ž t y 3.UU ECM Ž t y 1.UUU 74% Ž3%. Number of trans. Žt y 3. ConstantUUU Number of traded cos. Ž t . Number of traded cos. Ž t y 1.UUU Inflation Ž t . ConstantUUU ECM Ž t y 1.UUU 82% Ž0.0%. Value of new issues Ž t . Value of new issues Žt y 2.U Inflation Ž t .U ConstantUUU ECM Ž t y 1.UU 80% Ž0.0%. Value of new issues Ž t y 3.UU U denotes 10% level of significance; UU denotes 5% level; and UUU denotes 1% level. M. Omran, J. Pointon r Emerging Markets Re¨ iew 2 (2001) 263᎐279 273 differenced inflation rate lagged for 3 years was significant at the 10% level suggesting a short-run relationship between the variables. Since the inflation rate showed a negative coefficient in the long-run static regression, the hypothesis, which stated that the volume of trade increases as the inflation rate decreases, cannot be rejected, that is, there is a negative long-run and short-run relationship between the variables. Concerning the number of transactions, the results showed that this model contains a significant ECM with a lagged differenced inflation rate of 1 and 3 years, and a lagged autoregressive-dependent variable of 2 and 3 years. The coefficient of the differenced autoregressive variable lagged for 2 years was significant at the 10% level suggesting that there is a short-run relationship between the number of transactions and the performance in the previous years. In the meantime, the coefficients of the differenced inflation rate with a lag of 1 and 3 years were significant at the 10 and 5% level, respectively, suggesting a short-run relationship between the variables. Since the inflation rate showed a negative coefficient in the long-run static regression, the hypothesis, which stated that the number of transactions increases as the inflation rate decreases, cannot be rejected, implying a negative long- and short-run relationship between the variables. The inflation rate model of the relationship with the number of traded companies contains a significant ECM with a lag of 1 year for the differenced autoregressive variable and a lag of zero for the differenced inflation rate. However, the model indicated that the autoregressive variable lagged for 1 year was significant at the 1% level, which means that the number of traded companies may be affected in the short-run by its performance in the previous year. In the meantime, the coefficient of the differenced inflation rate without a lag indicated an insignificant effect, that is, there is no short-run relationship with the number of traded companies. Since the coefficient from the static long-run equation showed a negative sign, in this case, the hypothesis, which stated that the number of traded companies increases as the inflation rate decreases, cannot be rejected, indicating a negative long-run relationship between the variables. Lastly, the inflation rate model, which incorporates the value of new issues Žincluding capital increases . indicated a significant ECM with a lag of 2 and 3 for the differenced autoregressive variable and without a lag for the differenced inflation rate. However, the model indicated that the differenced autoregressive variable lagged for 2 and 3 years was significant at the 10 and 5% level, respectively, which means that the value of new issues Žincluding capital increases . may be affected in the short-run by its performance in the previous years. In the meantime, the coefficient of the differenced inflation rate without a lag was significant at the 10% level, implying a short-run relationship between the variables. In addition, the coefficient from the static long-run equation indicated a negative sign, which means that the relationship between the variables is negative. In turn, the hypothesis, which stated that value of new issues Žincluding capital increases . increases as the inflation rate decreases, cannot be rejected, indicating a negative long- and short-run relationship between the variables. 274 M. Omran, J. Pointon r Emerging Markets Re¨ iew 2 (2001) 263᎐279 In conclusion, the results indicated that the inflation rate has a significant impact on the market activity in Egypt as all the five variables indicated a significant negative long-run relationship. As well, the inflation rate seems to have a significant short-run relationship with all market activity variables except for the number of traded companies. In all cases, the overall fit of the selected inflation rate models of market activity was good with R 2 ranging from 0.57 to 0.82. Therefore, the hypothesis, which stated that the market activity increases as the inflation rate decreases, cannot be rejected, implying a negative relationship between the variables. 6.2. Modeling the impact of the inflation rate upon market liquidity through error correction models Since the results from the ADF unit root tests indicated that the inflation rate and the market liquidity variables were shown to be integrated of the same order, that is, these variables are integrated of order 1, static long-run regressions were performed using ordinary least squares ŽOLS.. The outputs of this analysis are given in Table 4, which summarizes the results of this test. The residuals from the static long-run equations as described in Table 4 were integrated of order zero, suggesting that the variables in each bivariate relationship are co-integrated, that is, there is a long-run relationship between these variables, which is negative as identified in the regressions. However, EC models can represent the co-integration relationship between the variables explaining both a long- and short-run relationship simultaneously. Table 5 shows the final model for each lag. The inflation rate models, which targeted market liquidity as the dependent variable, contain significant ECMs at the 1% level. The inflation rate model of the relationship with the total value traded to market capitalization confirmed a co-integration relationship between the variables as the ECM was significant with a lag of 1 for the differenced autoregressive variable and a lag of 3 for the differenced inflation rate. However, the coefficient of the Table 4 Static long-run models for the impact of the inflation rate upon market liquidity variables Coefficient S.E. t-Prob. F-Prob. R2 Constant Inflation y1.4716 y7.7040 0.36802 1.8454 0.0010 0.0007 0.0007 0.52 Constant Inflation y1.6273 y8.8736 0.20597 1.0328 0.0000 0.0000 0.0000 0.822 Variables y6,t y7,t Notes: y6 s total value traded to market capitalization; and y 7 s volume of shares traded to volume of shares listed. M. Omran, J. Pointon r Emerging Markets Re¨ iew 2 (2001) 263᎐279 275 Table 5 Specific error correction models for the impact of the inflation rate upon market liquidity variables Dependent variable Ždifferenced. Autoregressive variables Ždifferenced. Independent variables Ždifferenced. Error correction mechanism R2 Ž F-prob.. Total value traded to market cap. Ž t . Total value traded to market cap. Ž t y 1.UU Inflation Ž t y 3.UU ConstantUUU ECM Ž t y 1.UUU 60% Ž2%. Volume of shares traded to volume listed Ž t . Volume of shares traded to volume listed Ž t y 1.UUU Inflation Ž t y 1.UU Inflation Ž t y 3.UU ConstantUU ECM Ž t y 1.UUU 83% Ž0.0%. UU denotes 5% level of significance; UUU denotes 1% level of significance. differenced autoregressive variable lagged for 1 year was significant at the 5% level suggesting that the total value traded to market capitalization can be affected by its previous performance in the short-run. In the meantime, the coefficient of the differenced inflation rate lagged for 3 years were significant as well at the 5% level. Hence, there is a short-run relationship between the variables. As the coefficient of the independent variable from the static long-run equation has a negative sign, then there is a negative relationship between the variables. In turn, the hypothesis, which stated that the total value traded to market capitalization increases as the inflation rate decreases, cannot be rejected, indicating a long- and short-run relationship between the variables. The inflation rate model of the volume of shares traded to the volume of shares listed showed a significant ECM with a lag of 1 year for the differenced autoregressive variable and a lag of 1 and 3 years for the differenced inflation rate. However, the coefficient of the differenced autoregressive variable lagged 1 year was significant at the 1% level, suggesting that the volume of shares traded to the volume of shares listed can be affected by previous performance in the short-run. In the meantime, the coefficients of the differenced inflation rate lagged for 1 and 3 years were significant as well at the 5% level. Hence, there is a short-run relationship between the variables. With regard to the sign of the coefficient of the independent variable from the static long-run equation, it is found to be negative, suggesting a negative relationship between the variables. In turn, it can be concluded that the hypothesis, which stated that the volume of shares traded to the volume of shares listed increases as the inflation rate decreases, cannot be rejected, indicating a long- and short-run relationship between the variables. It is noticeable that the value of R 2 was 0.60 and 0.83% for the inflation rate models of the total value traded to market capitalization and the volume of shares traded to the volume of shares listed, respectively, reflecting a good fit for both 276 M. Omran, J. Pointon r Emerging Markets Re¨ iew 2 (2001) 263᎐279 models. Since the two variables, which represent market liquidity were cointegrated with the inflation rate, the hypothesis, which stated that the market liquidity increases as the inflation rate decreases, cannot be rejected, indicating a negative long-run relationship between the variables. 7. Summary and conclusions An examination has been made of short- and long-run relationships between the inflation rate and the performance of the Egyptian stock market, in terms of market activity and liquidity. It needs to be pointed out that fairly complex econometric techniques have been applied to a very restricted data set. As such it would be advisable to place only a qualitative interpretation on the results, rather than to place confidence in, e.g. the size of the coefficients or the number of lags. With this in mind, the results indicated that there is a negative relationship between inflation and market activity and liquidity. The results revealed an expected behavior for the stock market response to the decrease in the inflation rate, and the results regarding overall performance seem to be consistent with the literature review, which stated that there is an inverse relationship between the inflation rate and both stock returns and prices. However, it needs to be pointed out that the focus of this study is on market activity and liquidity, not returns and prices. In fact, the news about the level of inflation can depress or encourage the stock markets. In the case of Egypt, the inflation rate decreased sharply after the introduction of the economic reform program due to tight fiscal and monetary policy. The decrease in the inflation rate may give a good sign to investors to invest in the stock market, as it means that there will be an expansion in the business sector, in turn, the returns of companies will increase. In the meantime, with a decrease in the inflation rate, it is expected that interest rates will decrease as well, and this will encourage investors to establish new firms and to find the required finance with less cost. As a conclusion, all stock market variables benefited significantly from the changes in the inflation rate. From this analysis shown above, it can be concluded that the inflation rate, clearly, has had an impact upon stock market performance in terms of market activity and market liquidity. In fact, this relationship was negative and in the longand short-run for all market activity and market liquidity variables except for the number of traded companies, in which case this relationship was in the long-run only. Acknowledgements The authors would like to acknowledge helpful comments from Nick Wiseman, Paul Bishop, Jon Tucker, the editor and the anonymous referee. M. Omran, J. Pointon r Emerging Markets Re¨ iew 2 (2001) 263᎐279 277 Appendix A. Diagnostic tests for the chosen EC model D.V. Right-hand side variables Coefficient P-Value Diagnostic tests ⌬ y1,t ConsUUU ⌬ y1,ty1UU ⌬ y1,ty3U ⌬ x1,tU ECM-1UUU 0.87297 0.57236 0.42636 y11.003 y0.50837 0.0010 0.0466 0.0835 0.0534 0.0071 AR s 0.08303 w0.7806x ARCH s 0.02520 w0.8783x Normality s 0.26568 w0.8756x RESET s 0.10933 w0.7494x ⌬ y2,t ConsUUU ⌬ y2,ty1U ⌬ x1,ty1 ⌬ x1,ty3U ECM-1UUU 0.57825 y0.51337 y8.8720 y10.085 y0.64436 0.0023 0.0595 0.1310 0.0475 0.0219 AR s 1.3328 w0.2816x ARCH s 0.17179 w0.6909x Normality s 2.9563 w0.2281x RESET s 1.7369 w0.2240x ⌬ y3,t ConsUUU ⌬ y3,ty2U ⌬ y3,ty3 ⌬ x1,ty1U ⌬ x1,ty3UU ECM-1UUU 0.35656 0.54023 0.50614 y12.179 y15.877 y0.65750 0.1134 0.0648 0.1165 0.0937 0.0350 0.0044 AR s 0.27569 w0.6158x ARCH s 0.066711 w0.8048x Normality s 1.2548 w0.5340x RESET s 2.4268 w0.1632x ⌬ y4,t ConsUUU ⌬ y4,ty1UUU 0.29625 0.70230 0.0000 0.0005 AR s 0.005367 w0.9451x ARCH s 3.697e y 05 w0.9953x ⌬ x1,t ECM y 1UUU y1.1663 y0.30157 0.3016 0.0001 Normality s 0.2843 w0.8675x RESET s 0.37992 w0.5710x ⌬ y5,t ConsUUU ⌬ y5,ty2U ⌬ y5,ty3UU U ⌬ x1,t ECM-1UU 0.37160 0.39786 0.50150 y3.3942 y0.19476 0.0037 0.0526 0.0197 0.0899 0.0387 AR s 0.90351 w0.3697x ARCH s 1.4088 w0.2740x Normality s 0.067784 w0.9676x RESET s 3.1565 w0.1152x ⌬ y6,t ConsUUU ⌬ y6,ty1UU ⌬ x1,ty3UU ECM y 1UUU 0.41978 0.72641 y8.2057 y0.86499 0.0063 0.0166 0.0683 0.0043 AR s 0.89262 w0.3694x ARCH s 0.0015377w0.9681x Normality s 0.10688 w0.9480x RESET s 0.51822 w0.4899x ⌬ y7,t Cons ⌬ y7,ty1UUU ⌬ x1,ty1UU ⌬ x1,ty3UU ECM-1UUU 0.29473 1.2692 y1.2692 y8.2434 1.4250 0.0052 0.0003 0.0219 0.0180 0.0041 AR s 1.1809 w0.3088x ARCH s 1.2869 w0.2940x Normality s 0.43934 w0.8028x RESET s 0.54136 w0.4829x UU Notes: U denotes 10% level of significance; UU denotes 5% level of significance; UUU denotes 1% level of significance; D.V., Dependent Variable; AR, Autocorrelation; ARCH, Autoregressive Conditional Heteroscedasticity; and RESET, model mis-specification. y 1 s value of trade; y 2 s volume of trade; y 3 s number of transactions; y4 s number of traded companies; y5 s value of new issues Žincluding capital increases .; y6 s total value traded to market capitalization; y 7 s volume of shares traded to volume of shares listed; and x 1 s inflation rate. 278 M. 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