X_ PS-249Sr POLICY RESEARCH WORKING PAPER 2455 The Effects on Growth Commodity export dependency confers ex post of Commodity Price shocks and ex ante Uncertainty and Shocks uncertainty upon producing countries. What reduces growth is not the prospect of Jan Dehn volatile world prices, but the actual realization of negative shocks. The World Bank Development Research Group Rural Development September 2000 Poi.icY RESEARCH WORKING PAPER 2455 Summary findings Dehn estimates the effects on growth of commodity price It defines the dependent variable to allow an shocks and uncertainty within an established empirical assessment of the longer-term implications of temporary growth model. Ex post shocks and ex ante uncertainty trade shocks. have been treated in the empirical literature as if they * It imposes no priors on h1ow commodity price were synonymous. But they are distinct concepts and it is movements affect growth, but compares and contrasts a both theoretically and empirically inappropriate to treat range of competing shock and uncertainty specifications. them as synonymous. Dehn resolves the disagreement about the long-run He slhows that the interaction between policy and aid effect of positive shocks on growth, finding that positive is robust to the inclusion of variables capturing shocks have no long-run impact on growth (that commodity price movements. More important, his windfalls from trade shocks do not translate into approach departs in three ways from earlier empirical sustainable increases in income). studies of the subject: He shows that negative shocks have large, highly * It deals with issues of endogeneity without incurring significant, and negative effects on growth, but that an excessive loss of efficiency. commodity price uncertainty does not affect growth. This paper-a product of Rural Development, Development Research Group-is part of a larger effort in the group to analyze the impact of commodity price risks on developing economies. Copies of the paper are available free from the World Bank, 1818 H Street NW, Washington, DC 20433. Please contact Panos Varangis, room MC3-535, telephone 202-47.3- 3852, fax 202-522-1151, email address pvarangisC@worldbank.org. Policy Research Working Papers are also posted on the Web at www.worldbank.org/research/workingpapers. The author may be contacted at jan.dehnC@ economics.oxford.ac.uk. September 2000. (62 pages) The Policy Research Wlorking P'aper Series dissentinates the findings of work in progress to enzconirage the exchange of ideas about development issues. As} objective of the series is to get the findings outt quickly, even if the presentations are less than ftully polished. The papers ca-ry the nanmes of the anthors and shouild be cited accordingly. The findings, interpretations, and conclusions expressed in this paper are entirely those of the authors. They do niot necessarily represenzt the vietw, of the World Bank, its Executive Directors, or the counirtries they represent. Produced by the Policy Research Dissemination Center The Effects on Growth of Commodity Price Unicertainty and Shocks By Jan Dehnt Centrefor the Study ojfAfrican Economies, University of Oxford Preliminary Draft Author's email address: jan.dehn@economics.ox.ac.uk 1 This paper is preliminary and is circulated for comment. The findings, interpretations, and conclusions expressed in this paper ar. entirely those of the author. They do not necessarily represent the view of the World Bank, its Executive Directors, or the countries they represent. Many thanks are extended to Panayotis N. Varangis, Christopher L. Gilbert, Richard Mash, Paul Collier, and Jan Willem Gunning for considerable help and support. Special thanks are also extended to David Dollar and Craig Burnside for the use of thrir data, and to the Danish Trust Fund of the World Bank for financial support. 1. Introduction It has long been believed that commodity price variability causes problems for primary-producing developing countries, both for the governments and for the producers themselves. For governnents, unforeseen variations in export prices can complicate budgetary planning and can jeopardize the attainment of debt targets. This is a particularly serious problem .or HIPCs, all of which are highly dependent on commodity exports. For exporters, price variability increases cash flow variability and reduces the collateral value of invrntories: Both factors work to increase borrowing costs. Finally, smallholder farmers, often with poor access to efficient savings instruments, cope with revenue variability through crop diversification with the consequence that they largely fDrego the potential benefits obtainable through specialization. For all of these reasons, we should expect vulnerability to commodity price variability to retard growth. There is less agreement about which particular manifestations of commodity price movements matter to developing countries. The literature is replete of references to volatility, variability, and uncertainty. Other studies have paid attention to trends and to discrete price shocks. The paper focus specifically on two manifestations of commodity price movements, namely discrete temporary ex post commodity price shocks and commodity price uncertainty. The latter can be thought of as the ex ante manifestation of commodity price unpredictability. The emphasis on these particular mnanifestations of commodity price movements is not accidental; the importance of large discrete price changes has been recognized in the 'Dutch Disease' literature for some time, while an older, larger amd more diverse literature has examined the effects of commodity price uncertainty in various contexts. This paper departs from earlier contributions in two regards. Firstly, the paper aims to be more specific about which attributes of commodity price movements matter to growth in developing countries, to measure their impact, and to document their robustness. Discrete shocks cand uncertainty about future prices have been treated in the empirical commodity price literature more or less as if they were synonymous. Studies of shocks have invariably ignored uncertainty about future prices a potential regressor, and similarly studies of commodity price uncertainty have not tested for the 3 effects of current period shocks. However, shocks and uncertainty are distinct concepts and it is therefore both theoretically and empirically inappropriate to treat them as synonymous. The paper therefore departs from Collier and Gunning (1999a), whose analysis is restricted to positive shock episodes, by examining the effects of both positive and negative shocks. Similarly, this paper tests for asymmetric effects of large price changes on growth and thus departs from the analyses of Deaton and Miller (1995) and Deaton (1999) who impose an assumption of symmetry between small and large price changes. Finally, by modeling ex post shocks and ex ante uncertainty jointly, it is possible to determine which of these manifestations of commodity price movements are most relevant to growth, and, in the event both are important, to avoid omitted variable bias. Secondly, the paper aims to obtain better estimates of the long term effects of exposure to shocks and uncertainty. Recently, the availability of reasonably long panel data sets covering a substantial group of developing countries has facilitated a more systematic evaluation of the determinants of relative growth rates in developing countries - see Temple (1999) for a survey. It is therefore a natural step forward to examine the importance of commodity shocks and uncertainty in the context of an established empirical panel growth model. By using epoch growth rates rather than annual growth rates and cyclical income changes, it is possible to obtain better estimates of long term effects of exposure to shocks and uncertainty. This increases the scope for resolving the debate between Deaton and Miller (1995) and Collier and Gunning (1999a) over the medium to long run implications of positive shocks for economic growth. The analysis shows that per capita growth rates are significantly reduced by large discrete negative commodity price shocks, while positive commodity price shocks and commodity price uncertainty do not exert an influence on economic growth. The magnitude of the effect of negative shocks on growth is very substantial, and appears to work independently of investment, which suggests that the adjustment is achieved through severe reductions in capacity utilization. Negative shocks also remain highly significant after controlling for government economic policy and institutional quality, which indicates that the result cannot be attributed exclusively to inappropriate policy responses on the part of governments. The results are robust to 4 changes in sample composition, changing the time series dimensions of the data, instrumenting for endogenous regressors, and across different estimation methods. The paper is structured a; follows. Section 2 briefly summarizes the panel growth literature and Section 3 discusses the relationships between uncertainty and growth, and shocks and growth, respectively. The empirical literature on shocks and uncertainty are also reviewed. Section 4 describes the structure of a new data set compiled to evaluate commodity price effects, and Sections 5 and 6 describe the distribution of discrete shocks and uncertainty in a sample of 113 developing countries, respectively. In Section 7, the analytical framework for an empirical examination of the effects of u-certainty and shocks on growth is presented. A canonical growth model framework is augmented to include measure of commodity price uncertainty and shocks. Secl ion 8 looks at methodological issues involved in the estimation of panel growth models. In Section 9, the results of the regression analysis and robustness tests are presented, and Section 10 concludes. 2. Panel growth models In his recent review of thie growth evidence, Temple (1999) underlines the current lack of consensus with regard to the specification of empirical growth models. Two broad canonical models have featured in the empirical growth literature. The models by Caselli, Esquivel and Lefort (1996), Islam (1995), Mankiw, Romer and Weil (1992), and Hoeffler (1999), all of which are closely based on theoretical growth models, define the first class. The other type of model, typified by Barro (1991) and subsequently widely replicated, places far more emphasis on the role of policy variables. These two approaches Exe not mutually exclusive. Consider the Mankiw, Romer and Weil (1992) augmented Solow model with convergence. The central empirical specification is gy, = a. + a, log(s,) +,Blog(n + t,7 - 6) - y log(y0) [1] 5 where s, denotes the total savings rate, which consists of aid, domestic savings, foreign savings, and other foreign flows. g,, is the rate of growth of per capita GDP, and y0 is the initial income per effective worker at some initial date. The latter is intended to capture the extent of deviations from the steady state, while n,tp, c denote the rates of population growth, technical progress and depreciation respectively, which are typically assumed to grow at exogenously determined constant rates and are thus subsumable into the intercept. In equations such as [1], it is popular to substitute out savings in terms of its determinants, an approach first proposed by Papanek (1972), and since widely adopted following the influential paper by Barro (1991). Using standard national income identities, savings may be expressed in terms of domestic investment (id,), and foreign investment (if ) as follows: s, - id, + if, -= i, [2] where ti, is the total investment rate. Equation [1] can then be rewritten as g,, = a, + a, log(ti,) - y log(y0) [3] which makes explicit the link from investment to growth. Subsequent studies may be grouped into three broad classes: a) Studies that replace savings by government and private investment rates without including policy variables of any kind (see for example Caselli, Esquivel and Lefort (1996), Islam (1995), Mankiw, Romer and Weil (1992), and Hoeffler (1999)). In these models, empirical specifications closely follow the underlying theory. b) Studies that focus on policy variables and exclude investment variables. Prominent papers in this tradition include Bumside and Dollar (1997), Hansen and Tarp (1999a), and Guillaumont and Chauvet (1999). The argument justifying substitution of policy variables for investment is that policy and external environment variables fully explain how investment influences growth. In other words, these variables may be thought of as incentive variables. 6 c) Studies that contain a mixture af investment and incentive variables (Hadjimichael et al. (1995), Barro (1991), and Lensink and Morrissey (1999)). The simultaneous inclusion of both investment arid incentive variables raises issues of interpretation. For example, when investment is included, the other variables in the model affect growth through the 'level of efficiency', whereas when investment is omitted the effect of other variables on growth is either via investment, via efficiency, or both. The implication is that in certain circumstances it may be insightful to estimate growth equations both with and without investment included as in Lensink and Morrissey (1999). Since our purpose is to investigate the impact of commodity price uncertainty and shocks on developing count-y performance, we adopt an established empirical model, which allows approxim ate comparisons of our results with those from previous studies. In particular, w. use the data set compiled by Burnside and Dollar (1997), and in the main we closely follow their intermediate approach - (b) in the above classification. A word on the measurernent of economic growth: Over a given period, a change in income partly reflects cyclical transitory income changes and partly reflects underlying permanent changes in income. From a theoretical point of view, economic growth refers to the latter only. In empirical analysis, however, growth rates are usually calculated without drawing a distinction between transitory and permanent income changes. Since growth rates calculated thus only make use of end point observations, they are potentially very sensitive to outliers caused by transitory cyclical movements in income. To minimize this bias, growth rates are usually calculated over longer periods, typically 5 to 10 years for panel estimation, and up to 20 or 30 years in cross-section studies. This paper follows other contributions to the empirical growth literature by not drawing a distinction between transitory and permanent changes income. The reasons are twofold: First, the number of annual observations on GDP in most developing countries is insufficient to enable an unambiguous decomposition of income into its permanent and transitory components. Secondly, to the extent that the adjustment to temporary shocks and uncertainty involves transitory changes in capacity utilization, it is useful to be able to capture such effects. We are obviously presented with an identification problem since we cannot determine whether the o !served income changes are transitory or permanent, 7 but if the transitory adjustment processes to shocks and uncertainty are lengthy the distinction may be largely irrelevant, particularly if policy makers have relatively short time horizons. 3. Commodity price uncertainty, shocks, and growth The uncertainty variables which have received particular attention in the empirical growth literature include measures of political instability, business cycles, and inflation. A number of studies have found negative correlations between these variables and growth2. One way to think about how uncertainty affects growth is via factor accumulation, technical progress, and efficiency. Technical progress and factor accumulation shift out the production possibility frontier, while efficiency brings the economy from a point within the frontier to a point closer to the perimeter. The theoretical literature shows that the link between uncertainty and factor accumulation - investment - depends on the relationship between the expected marginal revenue product of capital and the uncertainty variable. When the profit function is convex, the link between investment and uncertainty is positive3. When investments are irreversible the positive link is not broken, but a range of inaction is created within which investment does not respond to the conventional net present value criterion - see Dixit and Pindyck (1994) and Abel and Eberly (1994). A negative relationship between investment and uncertainty requires either imperfect competition or decreasing returns to scale or both (see Caballero (1991)). Additionally, aggregate uncertainty may have effects, which are distinct from those of idiosyncratic uncertainty. Caballero and Pindyck (1996) show that aggregate uncertainty has asymmetric effects, because in good states there is free entry, while in bad states free exit is not possible if investments are irreversible. Hence, positive shocks do not raise profits, while negative shocks lower them, so the average payoff is decreased by uncertainty. The empirical literature shows a robust negative association between investment and certain sources of uncertainty. Serven (1998) estimates private 2 Bleaney and Greenaway (1993) and Aizenman and Marion (1993) find that policy instability lowers growth. Similarly, inflation has been shown to be negatively related to growth, although the correlation is not robust (Levine and Renelt (1990), Levine and Zervos (1993)). Gyimah-Brempong and Traynor (1999) find a significant negative correlation between growth and political instability. I Hartman (1972) abstracted from agent attitudes to risk.Zeira (1987) shows that when investors are risk averse the investment- uncertainty link becomes ambiguous even under the conditions specified by Hartman. 8 investment equations for a large number of developing countries and finds very robust evidence in favor of a negative link between real exchange rate uncertainty and investment4. Given the robust link between investment and growth (see Levine and Renelt (1990)), it seems reasonabl- to suppose that real exchange rate uncertainty will also have a strong negative effect on growth5. However, after controlling for real exchange rate uncertainty Serven finds that terms of trade uncertainty per se is not a significant determinant of investment. This suggests that to the extent that terms of trade uncertainty affects growth it must do so via routes other than investment, for example via efficiency and/or the rate of adoption of new technologies. The link between uncertainty and technical progress is less well understood and only rarely modeled empiric-ally. Ramey and Ramey (1995) cite a model by Fischer Black which predicts a positive link between growth and uncertainty on the grounds that agents can choose from a shelf with high risk/high return technologies and low risk/low return technologies. Uncertainty in this model facilitates growth by allowing agents to exploit differenit technologies as external conditions change. The empirical evidence in favor of a growth-commodity price uncertainty link is relatively weak. The classic study is MacBean (1966), who failed to support the hypothesis that export instability reduces growth in developing countries. Subsequent contributions include Erb and Sclhiavo-Campo (1969), Glezakos (1973), Knudsen and Parnes (1975), Yotopoulos and Nugent (1976), Lutz (1994), Guillaumont, Guillaumont Jeanneney and Brun (1999), and Guillaumont and Chauvet (1999). The latter study finds that a broad measure of instability (which includes the variability of terms of trade) remains significant with a negative coefficient in a growth regression which includes investment as a regressor. This supports the notion that uncertainty operates via efficiency or technical progress, but is it not possible on the basis of this study to determine if the result iE due to commodity price uncertainty or to some other component in the composite vulnerability index. There is some indication, however, 4 He examines the role of uncertainty of inflat on, the relative price of capital, real exchange rate, the terms of trade, and GDP growth on private investment. For each of these variables he develops seven different measures of uncertainty, and finds that each measure is negatively correlated with privw te investment. 5 Kormendi and Meguire (1985) andGrier and Tullock (1989) found output growth to be positively correlated with output fluctuations in large cross-sections of countries. They found that this relationship was unchanged when investment was introduced, the implication being that uncertainty may operate through technical progress, although the route may equally well be capacity utilization. Making the distinctioi between the predictable and unpredictable components of output volatility, Ramey and Ramey (1995) show the positive elationship between growth and volatility only holds for the variability of the unpredictable component; the correlation between the unpredictable component and growth is negative and strong enough, in fact, to dominate the total effect. They also argue that uncertainty exerts its negative impact on growth mainly technical progress or efficiency, not investment. 9 that commodity prices may not be culprit. Controlling for investment, Lutz (1994) compares the effects on growth of Net Barter Terms of Trade and Income Terms of Trade (ITT) instability measures. His two main findings are that there is no consistently significant and robust effect of NBTT volatility on growth, and secondly that ITT volatility affects growth (negatively) mainly via volume rather than price shocks. In other words, it may be that it is output rather than price volatility which drives the negative growth effects in the index of Guillaumont and Chauvet (1999). The theoretical literature linking growth and discrete temporary trade shocks is very limited. The Ramsey model by Collier and Gunning (1999a), which formalises the seminal work in Bevan, Collier and Gunning (1990), appears to be unique. The model shows that positive boom income is initially invested, and in the post-boom period the investment is reversed to enable a higher level of consumption. Investment is therefore the vehicle whereby consumption is smoothed. Consumption is permanently higher than before the boom after jumping up at the time of the shock and then declining monotonically towards its pre-shock level after the shock. The model shows that temporary trade shocks ought to increase the level of GDP with accompanying short to medium term growth effects. Rodrik (1998) proposes a linkage from temporary trade shocks to growth via a country's institutional capacity for managing conflicts. In his model, shocks give rise to conflicts over who should benefit from windfalls (in the event of positive shocks) and who should bear the cost of adjustment (negative shocks). In countries with strong institutions for conflict management, the dominant strategy is for competing interests to cooperate. On the other hand, when conflict management institutions are weak there are large potential returns to opportunistic behavior which makes fighting for the spoils of (or to avoid bearing the costs of adjustment to negative) shocks the optimal strategy irrespective of what other groups choose to do. In the presence of an intermediate range of institutional capacity, the outcome is determined by the degree of latent social conflicts in society. Empirical studies of the effects of discrete ex post shocks on growuth are almost as rare as their theoretical counterparts, possibly due to the arbitrariness involved in defining shock episodes. In the empirical part of his paper, Rodrik (1998) specifically considers a period in history when many developing countries experienced a decline in their terms of trade, defining his shocks as the standard deviation of (the log) 10 difference of terms of trade over the (1971-1980). It is not clear, however, if this variable reflects the downward tbend in prices at the time, the variability of prices, their uncertainty, or individual episodes of powerful negative price changes. It is therefore not possible to be entire'.y confident about what drives Rodrik's results. Easterly et al. (1993) find a strong positive correlation between changes in the terms of trade and economic growth in both the 1970s and 1980s, and they attribute as much variation in economic growth t6 terms of trade shocks as to economic policies. It is not clear, however, that th- dichotomy between terms of trade and policy is entirely valid. Collier and Gunning (1999a) point out that policy changes are often endogenous to shocks, such that the growth effect depends as much on the shock itself and the policies in place at the time as on the policy changes which are subsequently made in direct response to the shock. Collier and Gunning (1 999a) consider the effects on annual growth rates of 19 positive shock episodes over the period 1964-1991 for a sample of developing countries. Using a series of shock intercept dummies, investment-shock interaction dummies, and dummies which capture the post-shock period, they measure the effect on growth during as well as after the shock. Their main finding is that despite init al high savings rates windfalls do not translate into sustainable increases in income; initial positive effects are more than reversed in the post-shock period. They attribut. the reversal to a combination of low quality public investment projects and disincentives for private agents to lock into their savings decisions on account of policy decisions taken prior to and during the shock itself. In contrast, Deaton and Miller (1995) who examine the effects of commodity price movements on growth using a VAR approach find a positive coefficient between growth in commodity prices and growth in income. There is therefore disagreement over the long run growth imrlications of temporary commodity price shocks. A consensus reading of these stud'ies suggests that positive shocks tend to boost growth in the short run, but that any long run effects may depend on the policy response, the economy's flexibility, institutions for conflict resolution, and the importance of commodities in the country's terms of trade. Meanwhile, the effects of negative shocks are not well-documented. Likewise, none of the papers test whether large and small shocks and negative and positive shocks have asymmetrical effects on growth. 11 4. Constructing a suitable commodity price index With a few exceptions (notably Deaton and Miller (1995)), studies of the effects of commodity price movements in developing countries have been undertaken using either prices of individual commodities, terms of trade indices, or indices of aggregate commodity price movements (not country specific). Neither of these approaches are, however, satisfactory for the following reasons: First, only a few oil producing countries are specialized to the point of exporting only a single commodity, so for the majority of developing countries the full ramifications of specializing in commodities cannot be determined with reference to the movements in the price series of just a single commodity. Secondly, while individual commodity prices typically capture the movements of too few commodities, broad terms of trade indices arguably capture too much information, including various non-commodity and non-export price influences; their inclusion present a problem mainly because it is not possible with confidence to determine if the results are due to commodity prices per se. Until recently, it might have been seen as overkill to construct commodity prices indices for individual countries, because the prices of even unrelated commodities were seen to display 'excess comovement', which implied that there was little to gain over using broad aggregates of commodity prices (Pindyck and Rotemberg (1990)). However, recent work by Cashin, McDermott and Scott (1999) suggests that much of the comovement in unrelated commodity prices can be accounted for mainly by extreme outliers and structural breaks, which have powerful influences on the correlation based measures of comovement used by Pindyck and Rotemberg (1990). Using a concordance measure, which is insensitive to outliers, Cashin, McDermott and Scott (1999) find that unrelated commodities do not display comovement as hitherto thought. This has a clear implication for the choice of index used to evaluate the effects of commodity price movement in developing countries: Broad aggregate indices are likely to behave very differently from individual country indices, especially if the country is specialized in a narrow range of commodities The structure of the index used here is identical to the geometrically weighted index used by Deaton and Miller (1995), namely 12 DM =7Pjw [4] where W is a weighting item and P, is the dollar international commodity price for the commodity i . Dollar prices measure cif border prices. Historicalfob prices, which give a preferable measure of the value of a commodity to the exporting country are not generally available. The weighting item, W, is the value of commodity i in the total value of all commodities, n, or the constant base period j W 5 ;. [5] n Since WT is country specific, each country's aggregate commodity price index is unique. As an average of the prices of the commodities exported by each country, the index is primarily suited to the study of macroeconomic rather than sectoral effects. A geometrical weighting scheme is 'aseful for two reasons. After taking logs a geometric index provides the rate of change of prices in first differences, which is a useful property. Also, geometrically weighted indices avoid the numeraire problem which affects deflated arithmetically weighted indices. The appendix describes the data sources and country coverage of the indices. 5. The distribution of temporary commodity price shocks The temporary trade shock model by Collier and Pattillo (2000) is not restricted to discrete shocks of a particular magnitude. Nevertheless, most empirical studies of temporary trade shock 3 have focussed specifically on events associated with large price changes (see for exarnple the collection of case studies in Collier, Gunning and Associates (1999)). There is therefore a slightly odd dichotomy between the theoretical treatment of shocks, which makes no distinction between large and small shocks, and the empirical analysis of shocks, which does make this distinction. Larger disturbances obviously give rise to larger absolute annuity values, larger absolute changes in consumption, and larger absolute quantities of savings. There is therefore some intuitive appeal in focusing on large price changes to the 13 extent that larger effects are more likely to show up in the data. Additionally, there may be theoretical reasons for paying particular attention to large price changes. Deaton (1991) for example has argued that large negative shocks can give rise to consumption collapses when consumers are characterized by a combination of impatience and precautionary savings, particularly in the presence of liquidity constraints. This is because large negative shocks are the one manifestation of the stochastic process against which buffer stocks cannot give adequate protection. Secondly, agents may not treat windfall and other sources of income as fully fungible in terms of consumption (Thaler (1990)). Hatsopoulos, Krugman and Poterba (1989), Summers and Carroll (1987), and Ishikawa and Ueda (1984) show that marginal propensities to consume out of different types of wealth differ considerably. There is also evidence that agents assign different consumption propensities according to the magnitude of windfalls (Holcomb and Nelson (1989), Horowitz (1988), Benzion, Rapoport and Yagil (1989) and Thaler (1981)). Landsberger (1966) is an early result in the same vein based on a study of Israeli recipients of German restitution payments after World War II. Thirdly, large and highly visible shocks may trigger discrete government interventions, because they signal new untapped taxation possibilities. Schuknecht (1997) has argued, for example, that many governments respond to commodity shocks by digging deeply into the pool of rents created by increases in the price of commodities in the 1970s. Schuknecht (1996) shows that higher revenues from windfall taxation are associated with higher fiscal deficits, higher current expenditure, lower shares of health and education expenditures and lower growth. While there may therefore be good reasons to examine the specific effects of large shocks, there are practical problems involved in finding a suitable definition of 'large'. The theoretical arguments presented above offer only limited guidance about a suitable cut off point due to the general unobservability of the relevant conditioning variables. The second best solution is to locate shocks using a purely statistical definition, which is consistently applied to each country's commodity price index. The steps are the following: First, each country's aggregate commodity price series is made stationary by first differencing the series, which removes the any permanent innovations6. Secondly, the remaining 'predictable' elements are removed by 6 It is assumed that the commodity price series are l(l) rather than trend stationary. In practice, determining whether a series is a stochastic trend process or a deterministic trend process is difficult. See Leon and Soto (1 995). 14 regressing the differenced series oni its own lag, and a second lag in levels as well as a linear time trend. This error correction specification [6] is the most efficient way to model an integrated process, and it removes both the levels and differences information, which may inform the data. Ayi, = aO + ait + /Ayi,,1 + AYi±,-2 + £j,; [6] The residuals from [6], ei,, are normalized by subtracting the mean and dividing by the standard deviation, and finally an extreme but essentially arbitrary cut off point can be applied to the stationary normalized residuals. The base case cut off point used here puts 2.5% of the observations into each tail region. A total of 179 positive and 99 negative shocks were found in this data, constituting 4.06% and 2.25% of the total number of observations, respectively. The disproportionate number of posilive shocks is consistent with the predictions of the competitive storage model propcsed by Deaton and Laroque (1992). Figure 3 and 4 show the distribution of positive and negative shocks over the period 1957 to 1997 for 10 different cut off points in the xange of 1%-10%. It is evident from these figures that shocks do not appear to be distributed randomly across time. The incidence of shocks is low prior to the 1970s, and then suddenly increases dramatically with close to 1/3 of all countries in the sample experiencing positive shocks across several years, notably in the 1970s. The inciclence of positive shocks then declines, but remains higher than in the period prior to the 1970s. This pattern is consistent with the findings of Love (1989) who cLlculates estimates of mean variability of commodity prices in 65 developing countries over the two periods 1960-1971 and 1972-1984. Love finds that instability inareased in the latter period using three different deterministic trend specifications (linear, exponential, and moving average). It is also evident that the incidence of negative shocks increased in the 1970s, although the numbers of shocks are always smaller than those for positive shocks. Negative shocks are particularly prevalent in the 1980s and 1990s. It is not the objective of this paper to explain the uneven temporal distribution of shocks. It is important, however, to establish that the high concurrence of shocks in some years is not attributable tc some specific factors such as oil price movements, or 15 the choice of deflator. Consider first the role of oil. A total of 59 countries experienced shocks in either 1973 or 1974 (the oil shock year), which is more than twice the number of countries in the sample, which exports oil (23 countries). The negative shock in 1986 could also be construed as a product of the collapse in oil prices, but again a large number of non-oil exporting countries saw shocks in that year. The fact that the 1979 shock is exclusive to oil producers also suggest that the price changes for other commodities in 1974 and 1986 were not indirectly due to oil either. Clearly, oil is not the whole story. All indices are deflated by the same deflator; the MUV index. It is therefore possible that the similarities in the distribution of shocks across different countries are due to specific outliers in the common deflator. Closer inspection of the deflator, however, reveals that its volatility is much smaller than the volatility of commodity prices, usually by a factor between 2 and 5 depending on the time period and choice countries. The differences are significant at the 1% level. Even in the critical year of 1986, where the MUV index has an upwards kink which could potentially account for the high incidence of negative shocks in the commodity price indices, the price change in the deflator is a mere 11.3% compared to 49.5% for the 40 country's whose aggregate indices experienced negative shocks in that year. Indeed, the average magnitude of price changes in each of the 10 commodities, which saw outliers was 51.6% in that year7. It therefore seems fairly certain that the high incidence of shocks in particular years reflects instability in many commodities rather than oil shocks or deflator shocks. 6. Commodity price uncertainty in developing countries Uncertainty can be measured in many different ways, and there is no consensus on what constitutes the 'correct' method of measurement. The lack of consensus suggests that there is merit in considering more than one measure, and we therefore consider three broad alternative approaches to measuring uncertainty. The naYve approach involves treating all price movements as indicative of uncertainty by calculating the standard deviation each country's aggregate commodity price index. This is unsatisfactory on a number of counts. Most importantly, it does 'The standard deviations were small at 3.1% for the country shocks and 5.0% for the commodity shocks. 16 not control for the predictable cornponents aiid trends in the price evolution process, and is therefore likely to overstate uncertainty. Both Ramey and Ramey (1995) and Serven (1998) have shown and argued that this distinction is important. The second approach distinguishes between predictable and unpredictable components of the price series, bat remains time invariant. The measure is based on the principle proposed by Ramey ,md Ramey (1995) that the 'predictable' components of the price series can be modeled using a selection of explanatory variables. The variance of the residuals can then be thought of as uncertainty. However, in contrast to Ramey and Ramey (1995), we do not regress commodity prices on a series of explarnatory variables, but adopt instead a time series approach, whereby the first difference of real commodity prices (in logs) is regressed on its first lag, the second lag in levels (making the regression akin to an error correction specification) plus a quadratic trend, and quarterly durmmies: Ay, = -a + at + a2t' + AAyi ,-, t Ayiy-2 +y1D, + -,; t = 1..., T; [71 The three quarterly dummies, D,, take the value of 1 for the second, third, and fourth quarters, respectively, zero otherxise. The constant captures the base period intercept. This approach treats as predictable the parameters on the trend, quarterly dummies, and lagged differences and level:, of the dependent variable, which can be justified by thinking of past values and tre ads as being accumulated as knowledge by agents, wherefore uncertainty estimates must purge these known priors. Cashin, Liang and McDermott (1999) argue that uncertainty worsened during the 1970s. If this is so, it is clearly not appropriate to impose an assumption of homoskedasticity upon the variance of the residuals. The third approach to measuring uncertainty therefore distinguishes not only between predictable and unpredictable components of prices, but also allows the variance of the unpredictable element to be time varying. Time varying conditional variances can be estimated by applying a Generalized Autoregressive Coniditional Heteroskedasticity (GARCH) model to each country's aggregate commodity price index (Bollerslev (1986)). We use a univariate GARCH(1,1) specification sim,ar to that adopted by Serven (1998) which we apply uniformly across countries. We therefore estimate, for each country, 17 Ay,t = aO + -at +a2t2 +/4Ayj,, + AYi,,-2 + )7ID, + j,,; t=l..., T; [8] 0,2 =,,io +7',gr- +),i2,__ where o;2 denotes the variance of £, conditional upon information up to period. The fitted values of (7i, are the measure of uncertainty of y,,. Quarterly dummies, D1, were included to remove possible detenninistic seasonal influences on the conditional variance. Each quarterly dummy takes a value of 1 for a particular quarter, zero otherwise, and the final quarter is catered for by the constant term. Large shocks may dominate both the time invariant and time varying uncertainty measures, but it is possible that agents view such large shocks as sufficiently infrequent and atypical to effectively discount them when they form estimates about future price uncertainty. Versions of the Ramey and Ramey and GARCH uncertainty measures were therefore also constructed which 'dummy out' particular events. The six uncertainty measures are summarized in Table 1. Table 2 shows average uncertainty for different groups of countries over different periods of time for each uncertainty measure. The columns labeled 'I' to 'VI' correspond to the six uncertainty measures in Table 1. The first line in Table 2 shows the average commodity price uncertainty for the full 113 countries sample. Evidently, these highly aggregated statistics do not differ a great deal between the Ramey and Ramey and GARCH based measures, which both record a standard deviation in the range of 0.6-0.8. In contrast, the standard deviation measure, which does not remove 'predictable' elements from the price series, is several times larger than either of the measures, which do remove predictable elements. This underlines the point made by both Ramey and Ramey (1995) and Serven (1998) that the distinction between uncertainty and variability is an important one; the large discrepancy between uncertainty measures which do and do not control for predictable elements suggests that much of the movement in the price series reflects 'predictable' changes such as autoregressive paramneters and trends, and failure to account for these components leads to considerable overstatements of actual uncertainty. 18 The second block of statistics in Table 2 shows average uncertainty by broad regional grouping calculated over the full sample period (1957-1997). According to the uncertainty measures, which do not control for shocks ('I', 'IV' and 'VI') the region, which faces by far the most commodity price uncertainty is the Middle East and North Africa. Among the reinaining regional groups, there is little difference in commodity price uncertainty. This includes Sub-Saharan African countries, which do not appear to experience more uncertainty on average than other developing countries. To the extent that the commodity share of total exports is greater for African countries, the same level of uncertainty will of course have greater effects, ceteris paribus. When controlling for shocks, the difference in uncertainty between Middle Eastern and North African countiies on the one hand and other regional groups on the other diminishes considerably for the GARCH measures ('II', 'III'). The Ramey and Ramey measure ('V') does not ciange, however, which is probably because the trend break allowed for in this measure is a poor control for the first oil shock. The third block of data in Table 2 splits the sample by time period in accordance with oil price movements (1958-1972; 1973-1985; 1986-1997). On all measures, uncertainty is higher in the 1973-1985 and 1986-1997 periods than in the period from 1957-1972. On most measures, the increase in uncertainty is as much as 100%. There is no consistent evidence that uncertainty falls in the 1986-1997 period relative to the 1973-1985 period. Indeed, depending on the measure used, uncertainty is in some cases higher in the 1986-1997 period than in the 1973-1985 period. It would therefore appear that uncertainty rose in the 1970s and has not subsequently declined. Moreover, since this increase is also evident in the measures, which specifically control for outliers the rise in uncertainty cannot be attributed exclusively to a few extreme outliers. The final eight blocks of data in Table 2 show uncertainty for each regional group, by time period. Except for South Africa, uncertainty increased in all regions after 1973 and increased further in East Asia and the Caribbean after 1986. In Sub- Saharan Africa, South Asia, and the Pacific economies uncertainty fell slightly after 1986, while in the Middle East. and North Africa and in Latin America the outcome depends on the specific uncertainty measure used. Producers of different types of commodities may be prone to uncertainty for different reasons, and their experience of uncertainty may therefore be different. For 19 example, agricultural commodities are widely regarded as more prone to weather shocks, while non-food products by virtue of not being consumer goods may be more prone to business cycles. Oil is often best treated on its own. On these grounds, it is insightful to split the sample into agricultural food producers, agricultural non-food producers, non-agricultural non-oil producers, and oil producers. Countries are labeled as exporters of a particular type of commodity if their exports of that particular type of commodity constitute 50% or more of total commodity exports. If no single commodity type accounts for 50% of exports the country was labeled a 'mixed' exporter. Table 3 shows average uncertainty by producer type. It is evident that oil producers face by far the most uncertain prices on most measures. The exception is the GARCH measure ('III'), which controls for all shocks, although the other measures which partly control for shocks ('II', 'III', and 'V') also indicate that uncertainty is considerably reduced by controlling for outliers.' The implication is that the bulk of uncertainty in these countries is accounted for mainly by discrete shocks. Meanwhile, there is very little to separate uncertainty measures for the remaining three producer types, although it is noticeable that mixed producers appear to have equivalent or lower uncertainty than all other non-oil producers in the 1973-1985 and 1986-1997 periods according to those measures, which do not control for shocks ('I,' 'IV' and 'VI'). Over the full sample period, the uncertainty faced by mixed producers is equal to or lower than uncertainty in all other regions. Finally, uncertainty tends to be higher during the 1973-1985 period than in the preceding period, and in many cases remains at this higher level into the 1986-1997 period. Hence, regardless of whether we disaggregate by region or by commodity producer type there appears to have been a sustained increase in uncertainty since the early 1970s. 7. The empirical growth model This section describes the approach which will be used evaluate if and how the uneven distribution of discrete shocks and the increase in uncertainty since the 1970s have impacted growth rates in developing countries. The approach involves augmenting a canonical empirical growth equation with suitably defined variables. Our approach departs from recent work by Guillaumont and Chauvet (1999) in two 'Since the oil producers are primarily from the Middle East and North Africa, this explains why this group of countries faced the 20 important regards. First, an established empirical growth model is used as the canonical basis for the empirical analysis. Since the choice of explanatory variables in the Burnside and Dollar (1997) growth model encapsulates what are regarded as the key empirical determinants of growth in the literature, the use of this model enables more direct comparison of our results with other papers in the growth literature. Secondly, the uncertainty and shocks variables are different from the vulnerability index used by Guillaumont and Chauvet (1999) which is a composite index which picks up not only terms of trade shocks, but also the effects of ecological shocks on agricultural output, changes in the trend in terms of trade, and the economy's structural exposure to these types of shocks. In contrast, the measure used here is based entirely on commodity prices. In estimating a full growth model, the present analysis also goes considerably further than Deaton (1999), who only considers the simple correlation between comrm[odity prices and growth. The canonical specification has the following arguments: g,G = f (YO, X) [9] where the matrices {Y0, X} respectively denote initial conditions, and canonical regressors. Two time invarying variables capture initial conditions, namely the institutional quality index constructed by Knack and Keefer (1995), which measures the security of property rights and efficiency of the government bureaucracy, and the ethnolinguistic fractionalization index which has been shown to be an important determinant of growth by Easterly and Levine (1997). The time varying variables include the log of real GDP in the beginning of each growth epoch, which is included to capture convergence effects, and the ratio of money supply (M2) to GDP, which proxies for development of the financial system (King and Levine (1993)). The latter is lagged one period to avoid endogeneity problems. To capture political instability effects, a variable, which measures assassinations is included, and this variable is also interacted with the ethnic fractionalization index. Finally. Sub-Saharan Africa and East Asia dummy variables greater uncertainty in Table 2. 21 are included to capture the sharply contrasting growth performances of these two regions. Instead of using a range of policy indicators, the policy incentive regime is modeled using the policy index produced by Burnside and Dollar (1997). This index is constructed as a product of the coefficients of the relevant policy variables in a growth regression and the means of these variables. Their specification is: Policy=1.28 + 6.85 Budget surplus -1.40 Inflation +2.16 Openness where the constant is scaled to ensure that the mean of the policy index and the dependent variable are identical. This index has been criticized on the grounds that it does not capture what constitutes 'good policies' (Lensink and White (2000)). However, the particular choice of variables for inclusion in a policy index is always bound to be controversial. A strong argument for using the Burnside and Dollar (1997) policy variable is its very impressive explanatory power in regressions. The key objective is to explore whether and how commodity prices affect growth. Various different manifestations of commodity price movements may potentially affect growth, and it is important not to prejudice the analysis by excluding any of these a priori. We therefore consider a full range of specifications. First, we use the log of real commodity prices in levels as a potential regressor, because commodity prices in levels may matter to growth. A levels measure may also be important if, say, the effects of shocks and uncertainty are conditional upon the level of commodity prices. Secondly, the first difference of (log) commodity prices can be thought of as a base case variable, because this variable encompasses the large price changes which form the basis for the shock variable. In particular, the first difference of log commodity prices can be seen as a variable, which imposes an assumption of symmetry between positive and negative price movements, and between large and small price changes. Thirdly, interaction terms are introduced to enable distinctions to be made between large and small commodity price changes, and between positive and negative price changes. Large price changes - shocks - are identified in accordance with the methodology described in Section 6.5. Finally, the full range of commodity price uncertainty measures described in Section 6.6 are tested for their explanatory power in the growth regression. 22 A shocks is modelled as year-specific dummy, which presents a problem in the context of estimating a growth panel whose epoch time dimension spans more than one year. The shock variable theiefore has to be redefined to suit the panel context. The new shock variable takes a value of unity if a shock occurs in the epoch as opposed to a particular year, zero otherwise. Clearly, the length of the epoch used in the growth regression is of considerable importance. For example, if growth rates are calculated over the full 1970-1993 sample period, the shock variables will become near meaningless, because most countries experienced at least one positive or negative shock during this time, wherefore the shock variable would be indistinguishable from the constant. In the Bumside and Dollar (1997) growth panel, however, this is not a problem, since the growth epochs are only 4 years long. 8. Estimation issues Estimation of a panel growth equation with policy variables introduces at least two potential estimation issues, namely country specific effects and endogeneity. This section briefly discusses each in tam. A number of methods exist for coping with unobserved country specific effects in static panels. When country specific effects are present, they will give rise to omitted variable bias (OVB) in a pooled OLS regression. One way to avoid OVB is to include a set of n-i country specific intercept dummy variables (LSDV model). However, given that the sample consists of a mere 275 observations in the preferred specification, the inclusion of 55 additional parameters puts a serious drain on degrees of freedom. An alternative way to deal with the problem is to use the Fixed Effects (Within Groups) estimator, which sweeps out any country specific effects by subtracting the mean from each variable, although this also means that the variables which capture initial conditions; in the equation drop out along with the country specific effects. Here, we shall estimate pooled OLS and FE(WG) models and perform Hausman tests across the specifications to check if there are gains in moving from the former to the latter. We shall also use a Hausman test to determine if country specific effects are best modeled as random or fixed. 23 Issues of endogeneity are potentially very important - see Bumside and Dollar (1997), Guillaumont and Chauvet (1999), and especially Hansen and Tarp (1999b). Both the policy variable and the investment variable (when included) are likely to be determined by growth itself. For example, supply shocks such as droughts cause incomes, and therefore growth, to fall. If the fall in income causes policy to worsen, the result is that policy is positively correlated with the error term, and the coefficient will be biased. Deaton and Miller (1995) and Collier and Gunning (1999a) estimate the effects of various commodity price manifestations on GDP and annual growth rates, respectively. They both include investment as a regressor, but they are at near opposite extremes in terms of their treatment of endogeneity issues. In the spirit of Sims (1980), the VAR of Deaton and Miller treats all variables symmetrically by not imposing any prior assumptions of endogeneity and exogeneity (except commodity prices which are treated as exogenous). In contrast, Collier and Gunning (1999a) treat growth as endogenous and investment rates as exogenous. The possible endogeneity of investment to growth is therefore not taken into account. Arguably, neither of these approaches are ideal. The VAR analysis produces inefficient estimates and is not well suited for estimating long run effects, and ignoring endogeneity can hardly be recommended either. Alternative approaches involve simultaneous equation estimation, or instrumental variable estimation (IV). Simultaneous equation methods typically involve the introduction of other explanatory variables for purposes of identification, which themselves may be endogenous, which in turn means that more equations and more variables are needed, and so on. The methodology favored here is therefore the instrumental variable method, which strikes a balance by correcting for the potential bias in the Collier- Gunning paper dealing with the potential endogeneity problem, while avoiding the inefficiency of VAR estimation. IV techniques require that instruments be found which are correlated with the endogenous variable, but uncorrelated with the error term. A full range of external instruments is provided in the Burnside Dollar data. As an alternative to the conventional instrumental variable estimation approach to dealing with endogeneity, however, we also carry out the Systems GMM analysis proposed by Blundell and 24 Bond (1998), which uses internally generated instruments to instrument for both policy and, as part of our robustness analysis, for investment. The sample consists of 56 countries over the period 1970/1973 to 1990/93. The data is an unbalanced panel with a maximum of six growth observations per country. 9. Results In this section, we present a progression of results leading towards a preferred model specification. Several regressions are reported in order to illustrate what does not work. This is of some interest, because one of the objectives is to establish which among the competing manifestations of commodity price variability actually affect growth. We then test the robustne:,s of the preferred model specification to changes in sample size, estimation methods, time series dimension, and equation specification. In regression 1 of Table 4, we report the canonical growth specification, which is identical in all respects to the canonical model reported in Burnside and Dollar (1997). The most important determinants of growth in the canonical model are policy and institutional quality. Ethnolinguistic fractionalization interacted with assassinations is also significant as is the Sub-Saharan Africa dummy. In regressions 2, 3, and 4 we augment the canDnical model with the log of commodity prices in levels and differences, and the positive and negative shock dummies, respectively. These regressions are carried out to give a basic flavor of how commodity prices affect growth, if at all. It is evident from regressions 2 and 3 that there is no simple strong statistical relationship either between the log of the real commodity price in levels or its difference (which is also the annual growth rate since the levels variable upon which it is based is in logs). In regression 4, we enter the positive and negative shock dummies, which, it is recalled, indicate episodes of 'large' changes in (log) commodity prices. In contrast to the simple levels and differences specifications, the negative shock dummy enters the growth regression with a significant negative coefficient. The positive shock dummy is not significant. This provides a first indication that there may be asymmetrical effects in terms of how commodity price changes affect growth. However, since both the positive and negative shock dummy impose an untested restriction that smaller commodity price changes do not matter to growth, it is not clear if the significance of the negative shock dummy indicates that 25 large negative commodity price changes have asymmetric effects from smaller price changes, or whether all negative commodity price changes would have this effect on growth. In order to determine if positive and negative price changes have different effects on growth and whether the effects are sensitive to the magnitude of the price changes, we ran a new set of regressions shown in Table 5. Regression 1 in Table 5 splits the first difference of the log of real commodity prices into positive and negative changes, thus no longer imposing the assumption of symmetry for positive and negative price changes. It is clear that negative price changes have a significant negative effect on growth rates, while again positive price changes do not appear to matter. In terms of growth, positive and negative price changes therefore have very different effects. The remaining question is now whether the significant coefficient on the negative price changes variable is driven by large shocks or small commodity price changes, or indeed by both. This question can be answered by introducing an interaction term between the negative shocks dummy and the negative changes in commodity prices (regression 2). The interaction term between the shock dummy and the change in commodity prices enables large and small price changes to be distinguished in terms of their effects on growth. It is very clear from this regression that it is large negative price changes, which matter rather than negative price changes per se. We also tested whether the coefficients on these variables were equal in magnitude, but opposite in sign, which would imply that the coefficient on the shock interaction term is zero. This was firmly rejected at the 99% confidence level (F(1, 258)=12.34)). Meanwhile, when a similar decomposition was carried out for positive shocks, it was not possible to reject the null hypothesis that the coefficient on the positive shock interaction term was identical but of opposite sign to the positive changes in prices base variable (F(1,256)=0.06)). This means that large and small positive shocks do not have different effects on growth, indeed, they do not appear to have any effects at all. Finally, a test was carried out to verify that positive price changes on the one hand and the disaggregated negative price changes on the other are statistically distinct in their effect on growth. This was validated at the 5% significance level (F(1,257)=4.08). On the basis of these tests, it is therefore possible to conclude that statistically speaking commodity prices have highly asymmetrical 26 effects on growth in terms of both magnitude and direction. In particular, only negative changes appear to matter to growth, and within this subset only large negative changes appear to matter, Shocks are 'large' price changes, and they can, by virtue of the stochastic process, which determines their incidence, occur at any point in time. They can for example occur at a time when the level of commodity prices is historically low, or indeed when commodity prices are already high. It might be hypothesized that a large negative shock is more growth reducing when it occurs at a time when commodity prices are already low. This does not appear to be the case, however. In regression 3, we interact the negative shock interaction term with the log of real commodity prices, but this variable is insignificant. The implication is that negative shocks exert their negative influence on growth regardless of whether they occur when epoch commodity prices are on average high or low. It should be borne in mind, however, that this test is likely to be weak because of the use of epoch averages of the levels variable. For example, the shock may have occurred during a particular year, when the level of commodity prices was indeed low by historical standards, which accounts for the large effect on growth, but the epoch average of the level variable is a poor estimator of the price level in the critical year. In regression 4, we include both negative changes in prices, negative changes interacted with the negative shock dummy, and the negative shock dummy itself to capture any intercept effects. It is evident from this regression that the intercept dummy and the negative price vhanges are not significant after controlling for the interaction between the negative shock dummy and large price changes. This suggests that the effect is confined to the interaction term. Thus, in regression 5, we present our preferred model, where the insignificant positive price changes, the small negative price changes, and the intercep: shock dummies have been dropped. The negative shocks interaction term is signifi=ant at the 99% confidence level, and exercises a very considerable negative effect on growth. To illustrate the magnitude of this effect, consider the first row of numbers in Table 6. Given the estimated beta coefficient of - 62.463 from the preferred regression, the mean of the change in commodity prices during shocks of 0.025, and the mean of the dependent variable of 1.17, the elasticity of growth with respect to changes in price can easily be evaluated conditional upon a large shock having occurred. At the mean, the growth elasticity is -1.345. Evaluated at 27 two standard deviations above the mean, the growth elasticity is -2.876, while evaluated at one standard deviation below the mean the growth elasticity is -0.580. Elasticities were also calculated for negative commodity price changes more generally and for negative commodities price changes net of shocks (respectively the 2nd and 3rd rows in Table 6). Although these elasticities are also substantial, they are smaller than for shocks, which is supportive of asymmetric effects from large shocks. Moreover, it should be remembered that the coefficients upon which they are based are statistically indistinguishable from zero. Two conclusions can be drawn from these results. Firstly, negative shocks-are important due to their large growth elasticities. Secondly, the fact that the elasticity is very different depending on whether it is evaluated at, above, or below the mean shows that, conditional upon a shock having occurred, the bigger the shock the more severe its effect. Indeed, elasticities of this magnitude are supportive of the hypothesis proposed by Rodrik (1998) that negative shocks can cause growth collapses, although we are not at liberty on the basis of the information presented so far to evaluate if, as Rodrik suggests, the mechanism whereby these collapses occur is via poor conflict resolution. However, it is clear from the regressions that negative shocks remain highly significant even when the canonical model includes ethnolinguistic fractionalization and institutional quality variables. This is interesting, because in his growth regressions, Rodrik (1998) finds that negative shocks cease to have a significant effect on growth when these variables are introduced. Rodrik interprets the sudden insignificance of the shock variable upon the introduction of the institutional variables as indicative of the importance of social structures of conflict resolution in ensuring that shocks have beneficial effects on growth. Our results suggest a different interpretation of Rodrik's results, namely that changes in terms of trade, and their standard deviation may be poor instruments for large negative shocks, which are therefore not robust to the inclusion of other standard growth regressors. Thus, while social conditions may still matter in the way that Rodrik suggests negative shocks can clearly precipitate growth collapses even after controlling for social conditions. A natural next step is to evaluate the robustness of these findings along several different dimensions. First, we examine the impact of changing the sample of countries. Table 7 reports OLS estimates of the preferred model for four different sample specifications. Regression I excludes the five observations identified as 28 outliers by Burnside and Dollar (I 997). It is clear from the results that while these countries may be outliers in terms of how aid have affected their growth rates, their inclusion clearly does not alter the shock coefficient in the shock augmented growth equation. A more serious concern is ihe role of oil shocks, although typically one thinks of positive shocks in this context, However, oil prices dropped dramatically in the 1980s and it is important to checkc whether the results are not simply driven by the decline in the price of oil. Regression 2 therefore excludes oil producers defined as countries for which oil constitutes 50% or more of total commodity exports. While magnitude of the coefficient is reduced somewhat by their exclusion, negative shocks are still highly significant when oil producers are omitted from the sample. This is a strong indicator that the shock results are not driven by oil shocks alone. Another interesting question is whether negative shocks affect the poorest countries in the world, because the welfare implications of a fall in growth rates are arguably more serious in the poorest countries, where people live closer to absolute destitution. Regression 3 therefore additionally omits countries whose income per capita in 1970 was above US$1900 in constant 1985 US Dollars. This reduces the sample to 60% of the original sanple size, wherefore the efficiency of the estimates declines considerably. The coefficient on negative shocks is nevertheless still significant at the 10% level, and c f the same order of magnitude as for the full sample. Finally, we ran the preferred model on a sample consisting of just Sub-Saharan African countries (regression 4). This reduced the sample to just 84 observations, and predictably the t statistic on the negative shock term is now only 1.52 (corresponding to a p value of 13%). Again, however, the magnitude of the coefficient is close to the previous estimates. Taking into account the small sample size, it would seem that the effect of negative shocks on growth is quite robust to changes in sample composition, and particularly relevant in the poorest developing countries. A second dimension of robustness testing concerns the method of estimation, In estimating our preferred specification using a pooled OLS estimator, we have implicitly assumed that pooling across countries is valid so long as we include Sub- Saharan African and East Asi,an dummies. However, it is possible that the bias introduced by not allowing for ir,dividual country specific effects is sufficiently strong to give grounds for concern. The other concern is endogeneity. The pooled OLS 29 model treats all right hand side variables as exogenous, although the policy variable in particular may well be endogenous. If this is the case, the result is that coefficients in the preferred specification are both biased and inconsistent. Table 8 reports a number of regressions, which use different estimation methods to control for country specific effects and endogeneity. Country specific effects may be modeled as random or fixed effects. Regression I reports the preferred model estimated using a random effects model. It is worth noticing that the coefficient on the negative shock variable is entirely stable in the face of this change in estimation methodology, although the random effects model is not the preferred estimator. This is evident from the Chi- squared test statistic of 5.71 which fails to reject null of the Hausman test of no systematic difference in coefficients in this model and a fixed effects within group estimator (FE(WG)). Hence, there are efficiency gains to considering an estimator, which allows for fixed country specific effects. One way to do this is to is to transform the variable by subtracting their means. This sweeps out the country specific effects, but also the time invariant variables, which capture initial conditions. Regression 2 reports the FE(WG) estimates and shows that the negative shock variable is robust to the transformation and remains significant at the 5% level. The country specific effects are not jointly significant according to the F test (F(55,208)=1.25), but this does not mean that individual coefficients are not different from zero, and hence potentially a source of bias. What is important is whether such biases are sufficiently important to produce systematic differences in the coefficients between a model, which accounts for them, and one that does not. The effect on the beta coefficients can be determined by applying a Hausman test to a FE(WG) model against the OLS alternative. The test is unable to reject the null that the beta coefficients for the FE(WG) are indistinguishable from the OLS model (Chi-squared test of 10.50). We therefore take this to suggest that the OLS model is not strongly biased by the omission of country specific effects for each individual country. Regression 3 reports an estimate of the preferred model using Two Stage Least Squares (TSLS) instrumenting for policy. Burnside and Dollar (1997) argue that the policy variable can be regarded as exogenous, which is extremely convenient given the difficulties in finding good instruments for policy. However, we elected to take the endogeneity issue more seriously. First, we constructed a set of instruments composed 30 variously of initial income and log of population and their squares in combination with the Sachs-Warner openness index. The argument for using the Sachs-Warner openness index as an instrument fox policy despite the fact that this variable is actually part of the policy index itself is the following: Unlike the budget deficit and inflation, which make up the other compoilents of the policy index, the openness variable captures discrete trade policy changes, and therefore does not adjust continuously to income shocks. Regression 3 shows that these instruments predictably perform well, because policy remains highly signiificant. Conditional upon the Sachs-Warner index being genuinely exogenous, the result appears to vindicate the assumption maintained in Burnside and Dollar (1997) that the policy variable is indeed exogenous, since there are no notable differences in the size and significance of coefficient on the negative shock variable compared to the OLS estimate. The other coefficients are also statistically unchanged by instrumentation as indicated by the Hausman test, which is unable to reject the model treating all variables as exogenous in favor of the TSLS model (Chi-squared test statistic is 0.00). However, the close similarity between the OLS and TSLS model may simply reflect that the correlation coefficient between the instrument, the Sachs-Warner index, and the instrumented policy variable is high (0.78). The key question is whether the Sachs-Warner index should be treated as exogenous. This is a valid question since the index is partly a function of the black market premium, which is arguably endogencus. More fundamentally, Collier and Gunning (1999a) argue that discrete trade policy measures may to all intents and purposes be endogenous to shocks, which therefore puts a further question mark over the validity of treating the Sachs-Warner index as exogenouls, even if we ignore the issue of the black market premium. In order to deal with this potential endogeneity problem, we therefore re- estimated the preferred model using the SYS-GMM estimator of Blundell and Bond (1998). By jointly estimating bcth levels and differenced equations, the SYS-GMM estimator solves the problem of the Nickell bias through an Anderson-Hsiao differencing transformation, while simultaneously finding an efficient solution to the endogeneity problem by using internally generated lagged instruments which exploit all available moment restrictions. In addition to the policy variable, which we treat as endogenous, we also allow for both initial income and the financial development 31 variable to be pre-determined'. The SYS-GMM estimator requires a minimum of 5 observations per country, which reduces the sample size from 275 to 234 observations and from 56 to 40 countries. The results are reported in regression 4 and shows that the policy index is still significant. More importantly, the negative shock variable remains significant (5% level). The coefficients on both the policy index and the shock variable are smaller, which perhaps indicates that there is some bias due to endogeneity in the OLS regressions. The Sargan test for the SYS-GMM estimates does not reject that the instruments are optimal for this regression, although there is some evidence of first order serial correlation. The third and fourth dimensions of robustness, which we examine pertain to the stability of the coefficients over time, and the sensitivity of the coefficients to the inclusion of investment in the growth equation. Regarding stability of coefficients over time, two issues are of importance: First, are the coefficients the same in the first half of the sample period as in the second half? Given that the panel covers the period from 1970-1993, a split in the middle (corresponding to 1981/1982) may be telling because the 1970s was a period of unusually many positive shocks, while the 1980s saw mostly negative shocks. Both periods also saw marked changes in uncertainty. In addition, in the second period many developing countries found themselves unable to borrow on intemational capital markets due to the debt crisis. It is therefore possible that negative shocks are not a general problem, but one that is specifically attributable to events, which occurred in the 1982-1993 period. The first two regressions in Table 9 report estimates of the preferred model for observations up to and including 1981 (growth epochs 1970-73, 1974-77, 1978-81) and the remaining growth epochs (1982- 85, 1986-89, and 1990-1993), respectively. These regressions show that the coefficient on negative shocks for the latter half of the sample is indeed greater than that the coefficient in the earlier period as one would expect, but negative shocks also have a considerable and significant effect on growth in the 1970s, which saw predominantly positive shocks. In other words, the growth implications of negative shocks are clearly neither a decade specific phenomenon, nor a specific ramification of the debt crisis. 9 Pre-determined variables are variables, whose current values are correlated with past shocks, but not with current and future errors. Valid instruments for pre-determined variables include regressors lagged one period or more. Endogenous variables are variables, whose current values are correlated with past and current errors, but not with future errors. Valid instruments for endogenous variables are regressors lagged two periods or more. In the same vein, exogenous variables are variables which are uncorrelated with any past, current or future errors, and these variables act as their own instruments. 32 Another interesting endeavor is to change the epoch length. Arguably, four years is a very short epoch length, which means that growth rates may be more reflective of business cycles than of actual underlying long-term growth rates. There is therefore merit in changing the epoch length. But in the context of measuring the effects of discrete shocks identified by dummy variables, there is clearly a limit to how far the epoch length can be extended. As mentioned earlier, the original shock variable is a year specific variable, but in the growth regression where the time dimension is the epoch instead of the year, the shock variable must necessarily be redefined to take the value of unity if a shock occurs within the epoch rather than within a particular year. It follows that as the epoch length is expanded, the likelihood of encountering a shock increases. Hence, in the extreme cases of an infinite number of observations, there will be no time variation in the shock variable at all. While we should therefore not estimate the model on growth rates calculated over the full sample period, shocks are arguably sufficiently rare to enable an enlargement of the epoch length from four to eight years. In this framework, the shock variable is the redefined to take the value of unitv if a shock occurs within an eight-year epoch rather than the default four-year perioc.. Regression 3 reports the results of running the regression on eight year rather than four year epochs. The shock coefficient is large, negative and highly significant. This is strong evidence that the effect of shocks on growth is not purely a cyclical eff;>ct. An interesting question is obviously how negative shocks manage to depress growth rates. A possible route is via investment, which is known to be robust determinant of growth (Levine and Renelt (1990)). So far we have assumed that investment is fully determined ty policies, which allows us to simply estimate the reduced form empirical growth eqjuation. The validity of this approach is supported by regression 1 in Table 10, which is simply the canonical regression to which we have added the ratio of private investrment to GDP as a regressor. The investment data are from Serven (1998). Due to the obvious endogeneity of investment rates and the possible endogeneity of policy, we have estimated the investment augmented growth equations in Table 10 using SYS-GMM. Regression I shows that investment is insignificant when the growth equation includes the policy variable. In regression 2, the policy variable is dropped, and the investment equation is now significant at the 10% level. This is not a major improvement over regression 1, but it does suggest that 33 policy has some influence over investment as has been supposed so far. More importantly, negative shocks remain highly significant regardless of whether or not policy and/or investment are included in the regression. This suggests that the main route whereby negative shocks affect growth is neither via a worsening of the policy environment nor via a dramatic reduction in investment. The remaining avenue of adjustment is via 'efficiency"'. In this view, output is adjusted downwards in the face of shocks through a reduction in the utilization of existing capacity. Finally, in regressions 3 and 4, we examine if the relationship between policy and aid established by Burnside and Dollar (1997) is robust to the inclusion of the negative shock tenn. Burnside and Dollar show that aid has a positive impact on growth in developing countries with good fiscal, monetary, and trade policies, but has little effect in the presence of poor policies. In regression 3, we estimate the preferred model using the full sample of 275 observations, and we find that aid interacted with policy and aid squared interacted with policy are both significant as found by Burnside and Dollar. The significance of the interaction term is, however, attributed by the authors to 5 outliers, wherefore we also ran the negative shock augmented growth model without these five outliers. The result reported in regression 4 is identical to what Burnside and Dollar find, namely that the aid policy variable is still significant, while the interaction term is now no longer significant. Hence, Bumside and Dollar's results are not reversed by the inclusion of negative shocks into their growth model. This paper aims to evaluate the effects on growth of commodity price uncertainty as well as commodity price shocks, and the preferred specification reported so far is notable for the absence of uncertainty variables among the regressors. This is simply because uncertainty was never found to be significant in the growth equation regression. To illustrate this, in Table 11 we report 4 growth regressions, which include different measures of commodity price uncertainty. In regression 1, we measure uncertainty using epoch averages of the conditional variance of commodity prices correcting for the oil shock in the early 1970s. This measure, which was the best performing arnong the competing specifications, is insignificant. Similar measures, which variously did and did not 'dummy' out the effects of various shocks produced similar effects. In regression 2, we replace the GARCH measure by Ignoring technical progress. 34 a simple standard deviation of commodity prices variable, which can be thought of as a measure of commodity price variability rather than uncertainty. This variable is also insignificant. Finally, in regressions 3 and 4 we estimate uncertainty augmented growth equations on different sub-samples of the data by splitting the sample into pre- 1982 and post-1981 samples, respectively. This is done in order to evaluate if pooling across the highly unstable 1970s and periods of less instability is the reason for the insignificance of the uncertainty tlerm. In both regressions, however, uncertainty is consistently insignificant as a determinant of growth, while the negative shock variable in all cases remains highly significant. In total, we experimented with nine different uncertainty measures", with and without the negative shock variable, but none of these experiments produced robust and significant coefficients in the growth equation. 10. Conclusion The key contributions to the empirical temporary trade shocks literature have been made by Deaton and Miller (1995) who estimate a VAR extended to include commodity prices in levels, and Collier and Gunning (1999a) who regress annual growth rates of GDP on investment, positive shocks, and various lags and interaction terms within a pooled OLS model. Deaton and Miller (1995) find that international commodity prices strongly affect :)utput, mostly via investment. Collier and Gunning (1999a) likewise find that output initially responds very strongly to shocks, but they reach the conclusion that the long run overall effect of shocks on growth is negative. They argue here and elsewhere (Collier and Gunning (1996)) that adverse policy decisions are to blame. Our approach has been to estimate the effects on growth of commodity price shocks and uncertainty within arn established empirical growth model. This confers certain advantages in that our iesults are more easily compared to other growth models, including the influential model of Burnside and Dollar (1997). We have thus been able to show that the interaction between policy and aid is robust to the inclusion of variables capturing commodity price movements. More importantly, however, our approach has made three importent methodological departures from the contributions The six measures described in Table I plus corditional standard deviation versions of each of the GARCH measures. 35 by Deaton and Miller (1995) and Collier and Gunning (1999a). Firstly, we have attempted to deal with issues of endogeneity without incurring an excessive loss of efficiency. Our methodology therefore strikes a balance between these two papers by correcting for the potential bias in the Collier-Gunning paper by employing a methodology, which takes explicit account of endogeneity issues, while also maximizing efficiency by not estimating fully unrestricted equations. Secondly, we have defined our dependent variable to better enable an assessment of the longer-term implications of temporary trade shocks. While we do not claim to be able to discriminate between cyclical and long run growth rate effects, the present analysis does go further towards this goal by using four and eight year epoch growth rates as the dependent variable, since epoch averages are more likely to erase purely cyclical effects. Thirdly, we have not imposed any priors on how commodity price movements affect growth. Instead, we have compared and contrasted a range of competing shock and uncertainty specifications, which include but are not confined to the variables used in other contributions. Thus, we both allow for the possibility of non-linearity in the effect of commodity prices on growth, and for asymmetrical effects of positive and negative shocks on growth. By testing for the best performing among competing specifications, we have arguably been able to obtain more efficient and less biased estimates of the effects of shocks. A key contribution of this paper is to offer a resolution to the disagreement over the long run effect of positive shocks on growth. We find that positive shocks have no long run impact on growth. This result confirms that windfalls from trade shocks do not translate into sustainable increases in income as suggested by Collier and Gunning (1999a). The result is also supportive of Deaton and Miller (1995) who find evidence of positive effect on income in the short run, but no evidence of negative effects. The result, however, overturns the finding of Collier and Gunning that the long run effect of positive shocks in negative. Why might positive commodity shocks not translate systematically into higher growth rates? Collier and Gunning (1996) attribute this to five key policy errors on the part of governments. First, they sometimes fail to save windfalls. Secondly, even when they save early on they then fail to lock into the savings decision, proceeding to spend the windfall rapidly. Thirdly, windfall spending typically results in large 36 expenditures on capital projects undertaken while the boom is still in progress. Since domestic prices are high at such timnes, the efficiency of public investment projects is reduced. Fourthly, windfall is often channeled into low return projects for political rather than economic reasons. Finally, governments often end up with widened fiscal deficits after the end of the shock iSchuknecht (1996)), which must be financed by extracting taxes from the private sector after the boom ends. The second key contribution is to show that negative shocks have large, highly significant and negative effects cn growth as suggested by Rodrik (1998). An interesting difference from Rodrik's work is that Rodrik's shock variable loses significance when indicators of latent social conflict are introduced. In contrast, our negative shock variable remains highly significant at the introduction of such indicators (institutional quality, etlmolinguistic fractionalization and assassinations). The implication of this is clear: With greater attention paid to how shocks are modeled, it can be shown that negative shocks precipitate growth collapses regardless of whether a country is socially divided or has weak institutions. Hence, institutions may not matter as much as RodrLk's results suggest. Indeed, the insignificance of Rodrik's shock variable may have more to do with not distinguishing between large and small shocks than with the inclusion of social conflict variables into his regression. The negative shock effect is also robust to the inclusion of investment in the growth regression. This indicates that economies adjust to negative shocks by lowering capacity utilization rather than by disinvesting. This interpretation is consistent with the observation that investment decisions in developing countries are irreversible (Collier and Gunning (1 999b)). By modeling shocks and uncertainty simultaneously, it is possible to determine whether growth is affected by ex post shocks, ex ante uncertainty, or indeed by both these manifestations of commodity price movements. To the extent that both matter, of course, this approach al so avoids omitted variable bias. The third key result, however, is that commodity price uncertainty does not affect growth. This finding holds for various different specifications of the uncertainty variable and across different sample periods. Commodity price uncertainty remains insignificant regardless of whether we include or exclude ex post shocks in the regression 37 specification. This is a surprising result, because uncertainty is often put forward as an important determinant of investment, and therefore growth. Our results are highly robust. In particular, we have showed that negative shocks affect growth across different samples of countries, across different growth epochs, and across different lengths of growth epochs. The results also hold when we consider different specifications of the growth model, and when we include additional regressors, such as aid and uncertainty. Our preferred model is robust to the inclusion of country and time dummies and to estimation using TSLS and SYS-GMM methods, which take full account of endogeneity. 38 Table 1: Uncertainty and Variatility Measures No. Nature of Description Predictable Shocks 'dummied uncertainty element in out'of residuals variable process and conditional variance i Tine varying Garch conditional standard deviation of one LDV, T, TA2, QD uncertainty step ahead forecast errc r 11 Time varying Garch conditional stand,ard deviation of one LDV, T, TA2, QD First oil shock only uncertainty step ahead forecast errc r dymmying out first (1973Q3-1974Q2) oil shock IlIl Time varying Garch conditional stand 3rd deviation of one LDV, T, TA2, QD All 2.5% positive and uncertainty step ahead forecast errcr dummying out all negative shocks shocks IV Time invariant Ramey & Ramey unconditional standard LDV, T, TA2, QD uncertainty deviation V Time invariant Ramey & Ramey unconditional standard LDV, T, QD Trend break and uncertainty deviation intercept break in 1973Q3 VI Time invariant Simple unconditional standard deviation variability (Note: WDV', 'T TA2', and 'QD' denote laggeci dependent variable, linear time trend, trend squared, and quarterly dummies) 39 Table 2: Commodity Price Uncertainty, By Region Reon (Group numbw) pod n I II I V v VI A#113counhtis 1957-1997 113 0.08 (003) 0.07 (002) 0.06 (o02) 0.08 (o03) 0.08 (o03) 0.30 (013) Sulb-ShManAfica 1957-1997 44 0.08 (oo3) 0.07 (o.o2) 0.06 (o02) 0.08 (003) 0.08 (o02) 0.27 (01f) MkEid Cut and NorthAftta 1957-1997 16 0.12 (oo4) 0.08 (002) 0.06 (001) 0.11 (004) 0.11 (o03) 0.45 (o i) L.in Amfka 1957-1997 17 0.07 (002) 0.07 (o02) 0.06 (foo) 0.07 (002) 0.07 (.0o2) 0.27 (009g) SouthAsi. 1957-1997 5 0.07 (0.02) 0.07 (002) 0.07 (003) 0.07 (oo2) 0.07 (coo2) 0.35 (ois) East Asia 1957-1997 11 0.08 (o03) 0.07 (003) 0.07 (o03) 0.08 (0a3) 0.08 (o03) 0.26 (oo0) fic 1957-1997 5 0.07 (o0) 0.07 (002) 0.07 (o02) 0.07 (o02) 0.07 (002) 0.29 (o01) COanbban 1957-1997 14 0.08 (004) 0.08 (o03) 0.07 (0o0) 0.09 (003) 0.08 (o03) 0.25 (014) SouOhAbtca 1957-1997 1 0.03 0.03 0.03 0.03 0.03 0.15 ALL 1957-1972 113 0.07 (004) 0.05 (002) 0.05 (002) 0.05 (002) 0.05 (002) 0.10 (005) 4LL 1973-1995 113 0.09 (O03) 0.08 (002) 0.07 (o00) 0.10 (004) 0.10 (004) 0.24 (o01) AL.. 1986-1997 113 0.09 (004) 0.09 (004) 0.08 (o03) 0.09 (o00) 0.09 (o04) 0.15 (007) Sub-SahahanAfnca 1957-1972 44 0.06 (003) 0.05 (o02) 0.05 (002) 0.05 (002) 0.05 (002) 0.11 (00) Sub-SaharanAfnca 1973-1985 44 0.09 (003) 0.08 (O02) 0.07 (o02) 0.10 (004) 0.09 (o03) 0.22 (o00) Sub-SaharanAfria 1986-1997 44 0.08 (003) 0.08 (0,0) 0.07 (o03) 0.08 (003) 0.08 (003) 0.16 (o09) M East and NorthAftne 1957-1972 16 0.12 (004) 0.05 (0o02 0.04 (00o) 0.04 (o01) 0.03 (o00) 0.06 (002) 94A/d East and North Aft/ca 1973-1995 16 0.13 (0o4) 0.09 (003) 0.05 (001) 0.16 (oo5) 0.15 (0o5) 0.37 (o12) Mtdde Est and North Aftca 1986-1997 16 0.12 (004) 0.12 (o00) 0.09 (o03) 0.12 (oo4) 0.11 (o04) 0.13 (0V2) Lfain Anwma 1957-1972 17 0.06 (003) 0.05 (002) 0.05 (o02) 0.04 (002) 0.04 (o02) 0.09 (o09) Latin Amnanca 1973-1985 17 0.0 (00o2) 0.07 (0 02) 0.06 (001i) 0.D9 (00o3) 0.08 (00o3) 0.20 (009p) LaIn Amnca 1986-1997 17 0.08 (003) 0.08 (o03) 0.07 (0o0 0.08 (o03) 0.08 (o03) 0.13 (005) South Asia 1957-1972 5 0.06 (003) 0.06 (o03) 0.06 (o03) 0.06 (003) 0.06 (o03) 0.12 (oo0) Sou/hAsie 1973-1985 5 0.08 (002) 0.08 (oa2) 0.08 (o00) 0.08 (002) 0.08 (o03) 0.27 (o01) SouthAsa 0 1986-1997 5 0.08 (0o2) 0.07 (o03) 0.08 (oa3) 0.07 (002) 0.07 (oa2) 0.15 (007) Esst Asia 1957-1972 11 0.06 (002) 0.06 (O02) 0.06 (002) 0.05 (002) 0.05 (002) 0.13 (007) East Aab 1973-1985 11 0.08 (0o3) 0.07 (003) 0.07 (003) 0.09 (003) 0.08 (oo3) 0.21 (007) East Asfa 1986-1997 11 0.09 (005) 0.09 (005) 0.08 (o00) 0.09 (000) 0.09 (o00) 0.15 (o 10) PcfDcM 1957-1972 5 0.06 (O02) 0.06 (o02) 0.06 (o02) 0.05 (o0o) 0.05 (00t) 0.12 (0.05) Pacifc 1973-1985 5 0.08 (002) 0.08 (002) 0.08 ()02) 0.09 (002) 0.09 (o00) 0.24 (00o) Pacfi7c 1986-1997 5 0.07 (003) 0.07 (003) 0.07 (o03) 0.07 (003) 0.07 (003) 0.15 (0O0) Canbbean 1957-1972 14 0.06 (o04) 0.05 (003) 0.05 (003) 0.05 (003) 0.05 (003) 0.11 (006) Cainbben 1973-1985 14 0.09 (o0o) 0.08 (o02) 0.07 (002) 0.10 (0o4) 0.10 (oo4) 0.20 (011) Caribbean 1986-1997 14 0.10 (005) 0.10 (oo5) 0.09 (004) 0.10 (OO5) 0.10 (004) 0.16 (007) Sou/hA.9lca 1957-1972 1 0.03 0.02 0.02 0.02 0.02 0.03 SouLdAfFka 1973-1985 1 0.04 0.04 0.03 0.04 0.04 0.08 South Afca 1986-1997 1 0.03 0.03 0 .03 0.03 0.03 0.07 (Note: Figures in BOLD are averages, while smallerfigures in italic are standard deviations across group members) Key: I-Average conditional standard deviation (GARCH base case) TI-Average conditional standard deviation (GARCH controlling for 1973/74 shock) III-Average conditional standard deviation (GARCH controlling for all shocks) IV-Unconditional standard deviation (Ramey and Ramey) V-Unconditional standard deviation (Ramey and Ramey w. 1973Q3 break) VI-Simple unconditional standard deviation 40 Table 3: Commodity Price Uncertainty, By Commodity Type Commodity type rime period n I tl 111 IV V VI Al 113 countries 1957-1997 113 0.08 (0.3) 0.07 (002) 0.06 (002) 0.08 (003) 0.08 (o03) 0.30 (0.13) Agricultural food stuffs 1957-1997 52 0.07 (oo2) 0.07 (0.02) 0.07 (0o2) 0.08 (0.2) 0.08 (0.2) 0.25 (ote) Agriculturalnon-foods 1957-1997 18 0.06 (0.)2) 0.06 (0.02) 0.06 (o02) 0.07 (0o.2) 0.07 (002) 0.24 (0oo) Non-agro non-oil 1957-1997 17 0.07 (0.,2) 0.06 (0.02) 0.06 (o02) 0.07 (o2) 0.07 (a02) 0.23 (0o.) Oil 1957-1997 23 0.13 (0.33) 0.09 (0.02) 0.06 (0o.) 0.12 (002) 0.12 (002) 0.60 (.o) Mixed 1957-1997 3 0.06 (e. n) 0.05 (0.o0) 0.05 (o0o) 0.06 (o o1) 0.06 (o01) 0.24 (o 03) Agricultural food stuffs 1957-1972 52 0.06 (0.22) 0.06 (0o2) 0.06 (o.o2) 0.05 (0a2) 0.06 (0o2) 0.11 (005) Agricultural food stuffs 1973-19f5 52 0.08 (0o.2) 0.08 (0.02) 0.07 (0o2) 0.09 (0.2) 0.09 (0o2) 0.20 (oo0) Agriculturat food stuffs 1986-1997 52 0.08 (0o.4) 0.08 (0o4) 0.08 (004) 0.08 (0.04) 0.08 (004) 0.17 (0.08) Agriculturalnon-foods 1957-1972 18 0.05 (002) 0.05 (0o2) 0.06 (0o2) 0.04 (002) 0.04 (0o2) 0.09 (0.05) Agricultural non-foods 1973-1985 18 0.07 (002) 0.07 (0.2) 0.07 (0o.2) 0.08 (0.02) 0.07 (o.2) 0.19 (0.08) Agriculturae non-foods 1986-1997 18 0.08 (C 02) 0.08 (0.02) 0.07 (0o2) 0.08 (0o2) 0.08 (002) 0.16 (oos) Non-agro non-oil 1957-1972 17 0.06 (1.03) 0.05 (0o3) 0.05 (0o3) 0.05 (0o3) 0.05 (o.03) 0.15 (o08) Non-agro non-oil 1973-1985 17 0.07 (1.02) 0.07 (0.02) 0.07 (0.2 0.08 (0o3) 0.08 (0o3) 0.20 (0.o Non-agro non-oil 1986-1997 17 0.07 (1102) 0.07 (0.02) 0.06 (002) 0.07 (0o2) 0.07 (0o2) 0.14 (009) oil 1957-1972 23 0.12 (11.0) 0.06 (002) 0.04 (000o) 0.04 (0.00) 0.03 (o000) 0.06 (0.00) Oil 1973-1985 23 0.14 ().30) 0.09 (002) 0.06 (0o0) 0.17 (003) 0.17 (003) 0.40 (0.09) Oil 1986-1997 23 0.14 (.02) 0.13 (0.4) 0.10 (o02) 0.13 (o02) 0.13 (0o.) 0.12 (o02) Mixed 1957-1972 3 0.05 (2.01) 0.04 (0.03) 0.04 (0oo) 0.04 (0o1) 0.04 (0o0) 0.09 (ao3) Mixed 1973-1985 3 0.06 (oo0) 0.05 (0o.) 0.06 (o0)) 0.07 (0o.) 0.07 (0.03) 0.16 (0.031 Mixed 1986-1997 3 0.05 6 o 00) 0.06 (0o01) 0.04 (0oo0) 0.05 (0.o0) 0.06 (too0) 0.11 (o04) (Note. Figures in BOLD are averages, while smalerfigures in italic are standard deviations across group members) Key: I-Average conditional standard deviation (GARCH base case) lI-Average conditional standard deviation (GARCH controlling for 1973/74 shock) III-Average conditional standard (leviation (GARCH controlling for all shocks) IV-Unconditional standard deviation (Ramey and Ramey) V-Unconditional standard deviati n (Ramey and Ramey w. 1973Q3 break) VI-Simple unconditional standarcl deviation 41 Table 4 Growth regression results Dependent variable: Growth of real per capita GDP White heteroskedasticRty consistent standard errors in (liacs) (", ', ~and denote significance at 1%, 5%, and 10% respectively) No. 1 2 3 4 Pooled OLS with 1st Pooled OLS Pooled OLS Pooled OLS difference of with positive Canonkal with commodity commodity and negative Model model prices in levels prices shock dummies initial Income (inlY) -0.65 -0.67 -0.70 -0.58 (0.53) (052) (0.52) (0.53) Ethnollnguistic fractlonallsatlon (ethnt) -0.58 -0.60 -0.58 -0.59 (0.74) (0,73) (0 74) (0.74) Assassinations (ASSAS) -0.44 -0.42 -0.40 -0.41 (o 27) (0.27) (0-27) (0.27) Ethnollnguistic fractlonallsatlon x Assasinations (ethnas) 0.81 * 0.78 * 0.74 0.73 (0.45) (0.45) (0.45) (0.46) Institutional quality (ICRGE) 0.64 * 0.64 ^ 0.65 ' 0.59 * (0.1s) (0.18) (0.17) (0.16) M21GDP (M21) 0.01 0.01 0.01 0.01 (001) (0.01) (0.01) (0.01) Sub-SaharanAfrlcadummy(SSA) -1.53 -1.51 -1.58 ** -1.47 ** (0.73) (0.72) (0.71) (0 74) EastAsian dummy (EASIA) 0.89 0.90 0.90 0.78 (0.55) (005) (0-55) (0.54) Policy (policy) 1.00 ( 1.00 '* 0.97 1.03 (0.15) (0.14) (015) (o15) Log(Commodity prices) (Idmav) -0.56 (0,60) lst Difference of Log(Commodity prices) (didmav) 13.03 (10o66) Large positive shock dummy (pos) 0.55 (o 51) Large negative shock dummy (neg) -1.04 (0.49) Epoch dummy (ed3) -0.01 0.13 -0.02 -0.07 (0.59) (060) (o 59) (0 60) Epoch dummy (ed4) -1.35 -1.19 -1.24 -1.32 (085) (0.62) (0.67) (0.65) Epoch dummy (ed6) ,3.37 -3.23 -3.20 -3.26 (059) (059) (0.63) (0.60) Epoch dummy (e*d) -1.96 -1.96 -1.71 -1.37 (0.53) (0.53) (o 56) (056) Epoch dummy (od?) -2.31 -2.39 .. -2.07 -2.04 (0-62) (0o63) (o 66) (0 64) Constant 3.76 3.94 4.07 3.30 (3.80) (3.75) (3.72) (3.82) No. countries 56 56 56 56 No. observations 275 275 275 275 F(regresslon) 18.29 17.27 17.49 16.24 R squared 0.39 0.39 0.40 0.40 42 Table 5 Growth regression results Dependent varables Growth of real per capita GOP Wnit heteroskedastcity consistent standard errors in (0.,.) ( , , and denote significance at 1%, 5%, and 10% respectwely) No. 1 2 3 4 5 Pooled OLS Pooled OLS w. with negative Pooled OLS w. positive, smati Regression 2 price changes, positive and negative prke with level negative shock Pooled OLS negative price changes,and interaction dummy, and preferred Model changes shocks terms interaction tenm specIircation Initlal Income liniY) -0.63 -0.41 -0.38 -0.42 -0.44 (050) (052) (052) (054) (0.54 Ethnolinrgultic tractionallsatlon (ethnf) -0.51 -0.28 -0.31 -0.27 -0.30 (0.74) (0.73) (0.74) (0 74) (0.73) Asassinatlons (ASSAS) -0.37 -0.38 -0.39 -0.38 -0.37 (0.27) (0.27) (027) (027) (0.27) Ethnolinguistic iractlonalisatlon x Assasinations (ethnaa) 0.69 0.62 0.63 0.62 0.62 (0.44) (0.47) (0.47) (0 47) (0.47) Institutional quality (ICRGE) 0.64 0.59 0.58 0.59 0.59 (0.17) (0.17) (017) (0.1') (0.1 ) M2IGDP (Mz2) 0.01 0.02 0.02 0.02 0.02 (0 .1) (0 01) (0 01) (001) (0.01) Sub.aharan Afrca dummy (SSA) -1.54 -1.42 -1.42 -1.42 -1.44 (0 71) (0.70) (0. 70) (0 72) (0.72) East Asian dummy (EASIA) 0.84 0.77 0.78 0.80 0.78 (0 50) (0.55) (o 00) (0.0) (004) Policy(policy) 0.98 1.02 1.02 1.02 1.02 (o 15) (0.15) (0.15) (0.15) (015) Negative commodity price changes jdldmN) -30.44 2.72 -3.58 6.39 114.34) (17.62) (24.94) (17 00) Positive commodity price changes (didmP) -4.99 -3.51 -3.38 (22.95) (22 74) (22.60) Neg. shockicom. price change Interacton (negdidmN) -65.90 -72.15 -76.17 -62.46 (21 40) (2950) (3070) (1705) Neg. price changellevel Interaction (negDNldm) 19 35 (f5.96) Shock/Neg. price changentevel Interaction (negDNtdm) 55.75 (6 57) Negative shock dummy (nag) 0.33 (069) Epoch dummy (ed3) 0.30 0.27 0.24 0.20 0.24 ( 59) (o 58) (o 59) (0.61) (o 59) Epoch dummy (ed4) -1.19 -1.30 -1.38 -1.32 -1 28 (0.66) (0.66) (0.67) (O 67) (0.66) Epoch dummy (edS) -3.26 -3.43 -3.43 -3.43 -3.39 (063) (0 63) (063) (0e60) (0.09) Epochdummy(ed6) -1.60 -1.42 -1.31 -1.51 -1.40 (0 54) (0e53) (O 54) (056) (0 5) Epoch dummy (ed7) -2.09 -2.39 -2.30 -2.43 -2.33 (0.66) (0 66) ()072) (0.69) (0.61) Constant 3.70 2.08 1.86 2.02 2.24 (3 64 (3.74 (3 75) (3 69) (3085) No. countries 56 56 56 56 56 No. observatlons 275 275 275 275 275 F(regresslon) 16.64 16.26 t14.3 1552 17 82 R squared 0.40 0.41 0.42 0.41 0.41 43 Table 6 Growth elasticities of negative shocks Coeffcient and _ _ Mean of variables standard deviation Elasticity evaluated at: Negative changes in commodity Sigma Mean - Mean + Mean + Obs Growth prices Beta (Seta) Mean I'sigma I sigma 2sigme Shock changes 31 1.173 0.025 -62.463 0.014 -1.345 -0.580 -2.111 -2.876 Allchanges 171 1.173 0.014 -62.463 0.012 -0.763 -0.134 -1.393 -2.022 Non-shock changes 140 1.173 0.012 -62.463 0.010 -0.634 -0.119 -1.150 -1.665 44 Table 7 Growth regression results Dependent variable: Growth of real per capita GDP White heteroskedasticity consistent standard errors in (iics). ('-', '', and '' denote significance at 1%, 5%, and 10°k respectively) No. 1 2 3 4 Pooled OLS Pooled OLS preferred preferred Pooled OLS specification specification preferred (omitting oil Pooled OLS (omitting 5 specification producers and preferred Bumside Dollar (omitting oil middle income specification Model outliers) producers) countries) (SSA only) Initial Income (iniY) -0.46 -0.58 -0.31 0.50 (054) (048) (O87) (1.40) Ethnolinguistic fractionalisation (ethnf) -0.30 -0.52 -0.97 2.11 (0.74) (0.76) (0.91) (1.96) Assassinations (ASSAS) -0.37 -0.44 -0.76 9.86 (O 27) (0.29) (O 52) (7.59) Ethnolinguistic fractionalisation x Assasinations (e,:hnas) 0.62 0.82 * 1.19 -16.34 (0.47) (0 48) (O 93) (12283) Institutional quality (ICRGE) 0.62 0.84 0.96 0.62 (0.16) (0.17) (0.21) (0.43) M21GDP (M21) 0.01 0.02 0.03 0.04 (0.01) (0.01) (0.02) (0.05) Sub-Saharan Africa dummy (SSA) -1.40 -2.01 -2.04 * (0 73) (0.40) (0.71) East Asian dummy (EASIA) 0.74 0.03 -0.18 (0 56) (O 59) (O 71) Policy (policy) 1.03 ** 1.06 1.12 1.06 (O 16) (O 15) (0.21) (043) Neg. shocklcom. price change interacton (negdldniN) -65.75 -53.04 -40.72 -64.44 (1716) (17 31) (24 40) (42.37) Epoch dummy (ed3) 0.27 0.15 0.46 -0.27 (O 59) (O 55) (O 67) (1 55) Epoch dummy (ed4) -1.26 -0.70 -0.54 -2.36 (0.65) (0.64) (0.81) (1.69) Epoch dummy (ed5) -3.36 -3.00 -2.26 -4.07 (0.59) (0.62) (0.79) (1.30) Epoch dummy (ed6) -1.20 -1.05 -1.00 -1.95 (O 52) (0.52) (O 65) (1.28) Epoch dummy (ed7) -2.28 -2.40 -2.70 -4.49 (0.63) (0.92) (0.79) (1.45) Constant 2.34 2.03 -0.58 -7.25 (3.89) (351) (619) (9.32) No. countrles 56 47 35 21 No. observations 275 230 166 84 F(regression) 16.76 16.41 12.43 2.78 R squared 0.41 0.47 0.48 0.26 45 Table 8 Growth regression results Dependent variable: Growth of real per capita GDP Wvihte heteroskedasticity consistent standard errors in (italics) ('-" '-,and "denote significance at 1%, 5%, and 10% respectively) No. 1 2 3 4 Pooled OLS Pooled OLS w. preferred positive, small specification negative price TSLS SYS-GMM (Random effects changes, and (instrumenting (instrumenting Model model) shocks for policy) forpolicy) Initial income (InlY) -0.45 -2.36 ** -0.44 -3.99 * (0r37) (I 04) (054) (1.50) Ethnolingulstic fractionalisation (ethnt) -0.30 -0.30 -2.33 (0.81) (0. 73) (1.50) Assassinations (ASSAS) -0.38 -0.61 -0.37 -0.40 (0e30) (0e38) (0.28) (0.28) EthnollnguistlcfractionalisationxAssasinations(ethnas) 0.63 1.10 0.63 0.80 (0.62) (0-78) (0.47) (0.44) Institutional quality (ICRGE) 0.60 * 0.59 1.32 ^ (0 18) (018) (0.49) M2iGDP (M21) 0.02 0.01 0.02 0.01 (0.02) (0 03) (0.01) (0.02) Sub-Saharan Africa dummy (SSA) -1.45 "s -1.43 -3.86 (0863) (0 73) (1. 68) EastAsian dtmmy (EASIA) 0.78 0.73 1.14 (0.89) (0.61) (1.00) Policy (policy) 1.01 0.85 1.05 *c 0.73 (017) (021) (0.22) (0 32) Neg. shocklcom. price change interacton (negdidmN) -62.26 -54.51 -62.59 -37.14 (2027) (21.24) (17 14) (18.92) Epoch dummy (ed3) 0.24 0.44 0.25 0.52 (0.61) (0 62) (0.59) (0 55) Epoch dummy (ed4) -1.28 -1.01 -1.28 -0.77 (081) (0.85) (0.85) (075) Epoch dummy (ed5) -3.39 -3.12 -3.38 -3.08 (0.62) (0.67) (0.59) (0.70) Epoch dummy (ed6) -1.40 ** -1.31 -1.40 -1.41 (0 86) (0 72) (0.52) (0.63) Epoch dummy (ed7) -2.34 -1.98 -2.36 -1.68 * (a068) (0.78) (0 65) (0a77) Constant 2.29 19.01 ** 2.21 27.45 * (2.69) (7 62) (3.88) (10.03) No. countries 56 56 56 40 No. observations 275 275 275 194 F/Wald Chi2 178.39 16.26 15.53 113.03 R squared (overall) 0.41 0.11 0.41 R squared (within) 0.26 0.30 R squared (between) 0.56 0.01 Hausman(RE vs.FE) 5.71 F test for country specific effects 1.25 Hausman(FE vs. OLS) 10.50 Hausman(TSLS vs. OLS) 0.00 F test for time dummies 31.75 Test for 1st order serial correlation -2.41 Test for 2nd order serial correlation 1.16 Sargan test for Instrument optimality 39.59 First and greater Instruments for policy SACW-iniY lags of OY First and greater SACW'iniY'2 lags of M21 Second and greater lags of SACW-LPOP policy 46 Table 9 Growth regression results Dependent variable: Growth of real per capita GDP White heteroskedasticity consistent standard erro s in (ta/ics) ( and denote significance at 1%, 5%, and 10% respectively) No. 1 2 3 Pooled OLS Pooled OLS preferred preferred Pooled OLS specification specification with 8 year Model (1970-1981) (1982-1993) epochs Initial income (iniY) -0.46 -0.33 -0.10 (0.88) (0 62) (0 68) Ethnolinguistic fractionalisation (ethnf) -0.27 -0.20 -0.02 (1 11) (1. 01) (O 88) Assassinations (ASSAS) -0.88 0.10 -0.22 (0.59) (0.22) (0.30) Ethnolinguisticfractlonalisation xAssasinatlons (ethnas) 1.51 -0.09 0.15 (O 93) (0 63) (0 57) Institutional quality (ICRGE) 0.69 0.50 ** 0.47 ** (0.26) (0.24) (020) M2/GDP (M21) 0.00 0.02 0.02 (0.03) (0.02) (0.01) Sub-Saharan Africa dummy (SSA) -1.66 -1.23 -1.10 (1 19) (0 78) (0.82) East Asian dummy (EASIA) 0.06 1.69 0.65 (0 84) (0.86) (0.62) Policy (policy) 0.93 ** 1.00 1.12 (0.40) (0 16) (0.17) Neg. shock/com. price change interacton (negdldmN) -52.25 * -82.30 -95.75 (22. 95) (25 83) (28 44) Epoch dummy (ed3) 0.29 (0.60) Epoch dummy (ed4) -1.19 * (0 67) Epoch dummy (ed5) Epoch dummy (ed6) 2.15 (0 61) Epoch dummy (ed7) 0.90 (0.63) Constant 2.55 -1.96 0.08 (6.26) (4 54) (4.68) 8 year epoch dummy (v81) -2.56 * (o 05) 8 year epoch dummy (v82) -1.93 (0.49) No. countries 50 52 56 No. observations 136 139 149 F 7.56 13.75 16.80 R squared (overall) 0.28 0.50 0.46 47 Table 10 Growth regression results Dependent variable: Growth of real per capita GDP White heteroskedasticity consistent standard errors in (itasics) and denote significance at 1%, 5%, and 10% respectively) No. 1 2 3 4 SYS-GMM Pooled OL.S Pooled OLS preferred with aid and with aid and SYS-GMM specification policy policy preferred with Investment interaction interaction specfrication and without terms (full terms (without Model with investment policy sample) outliers) Initial income (IniY) -4.20 -4.32 -0.39 -0.44 (1.20) ((.23) (0.59) (0.59) Ethnolingulstic fractionallsation (ethnf) -2.15 -2.15 -0.18 -0.19 (155) (1.71) (0 75) (0e74) Assassinations (ASSAS) -0.33 -0.27 -0.37 -0.37 (0.25) (023) (0.27) (027) EthnolingulstUc tractionatlsatlon x Assasinations (ethnas) 0.71 ^ 057 0.61 0.60 (0.39) (0.38) (0.48) (0.49) Institutionalquality (ICRGE) 1.17 1.31 0.62 .. 0.64 (0.36) (0.37) (0.17) (0.19) M2VGOP (M21) 0.00 0.00 0.02 0.01 (0.02) (0.03) (001) (001) Sub-Saharan Africa dummy (SSA) -3.63 -3.82 -1.67 ^^ -1.67 (1.20) (124) (0.77) (0.79) EastAsian dummy (EASIA) 0.13 1.11 1.03 ^ 1.13 (1.18) (1.16) (0.59) (0.59) Policy (policy) 0.66 0.84 ^^ 0.77 ^ (0.29) (0 20) (0.20) Neg. shocfitcom. price change lnteracton (negdidmN) -37.14 -36.09 -61.94 -62.10 (17.12) (18.05) (17.14) (17.10) tnvestmentVGDP (IlY) 0.14 0.15 (009) (009) AidlGDP (EDA) 0.03 -0.06 (0.13) (0e19) AidlGDP x Policy (edapolA) 0.18 0.17 ^^ (0.10) (007) (AldtGDP)^2 x Policy (eda2polA) -0.02 (096) (0 70) (0.01) Epoch dummy (ed3) 0.25 0.13 0.23 0.24 (0.53) (0055) (0 59) (0e59) Epoch dummy (ed4) -0.93 -1.00 -1.32 * -1.31 ^- (0.69) (6 67) (0 66) (0 66) Epoch dummy (ed5) -2.95 -3.24 -3.47 -3.45 (0.66) (0.70) (0,60) (0 90) Epochdummy(ed6) -1.13 ^ -1.11 -1.46 ^^ -1.39 (0.64) (074) (0.53) (0.02) Epoch dummy (ed7) -1.46 * -0.92 -2.37 -2.27 (0.79) (0.96) (0.65) (0.95) Constant 28.04 28.98 1.68 2.21 (7.60) (7.79) (4.28) (4.29) No. countries 40 40 56 56 No. observations 234 234 275 270 R squared 0.42 0.42 Wald Chi2tF 157.35 114.11 . 16.59 16.50 Wald test for time dummies 29.32 35.56 Test for 1st order serial correlation -2.90 -2.71 Test for 2nd order serial correlatlon 1.02 0.65 Sargan test for instrument optimallty 40.84 40.79 First and First and greater lags greater lags Instruments of iniY of iniY First and First and greater lags greater lags of M21 of M21 48 Table 11 Growth regression results Dependent variable: Growth of real per capita GDP White heteroskedasticity consistent standard errors in (iteIcs) (, m,and denote significance at 1%, 5%, and 10% respectively) No. 1 2 3 4 Pooled OLS Pooled OLS Pooled OLS Pooled OLS preferred preferred preferred preferred speclflcation w. specification w. specification w. specification w. GARCH GARCH GARCH commodity uncertainty uncertainty Model uncertainty price variability (1970-1981) (1982-1993) Initial Income (iniY) -0.48 -0.45 -0.46 -0.46 (0r55) (0 53) (0.88) (0865) Ethnollngulstic fractionalsation (ethnf) -0.31 -0.33 -0.27 -0.26 (0.73) (0.74) (1.11) (1.02) Assassinations (ASSAS) -0.37 -0.36 -0.88 0.10 (0.28) (0r28) (0 59) (0.23) Ethnolingulsct fractionalisataon x Assasinations (eti nas) 0.62 0.60 1.51 -0.06 (0.47) (0.47) (0.93) (0.63) Institutional quality (ICRGE) 0.61 ... 0.58 ... 0.69 ... 0.55 * (018) (018) (0.26) (0.24) M2/GDP (M21) 0.02 0.02 0.00 0.02 (0.01) (0.01) (003) (002) Sub-Saharan Africa dummy (SSA) -1.48 ^ -1.39 * -1.67 -1.41 * (0.74) (0.72) (1.20) (0 78) East Asian dummy (EASIA) 0.82 0.76 0.06 1.76 * (0.54) (0 54) (0.64) (0.86) Policy (policy) 1.01 - 1.02 0.93 0.99 (0.15) (0.14) (040) (018) Neg. shocidcom. price change interacton (negdldmNtI) -65.03 -60.46 -52.30 ** -94.00 (16S5) (17.34) (2299) (24.40) GARCH conditlonal variance (gar7O) 11 .34 0.72 28.62 (19.39) (27.04) (25.35) Commodity price variability (std) -2.70 (3.55) Epoch dummy (ed3) 0.20 0.43 0.28 (0.61) (0.67) (0.63) Epoch dummy (ed4) -1.33 -1.18 * -1.19 * (0.66) (0.84) (0.68) Epoch dummy (edS) -3.40 -3.40 (0.59) (0.59) Epoch dummy (ed6) -1.44 -1.33 ** 2.12 '* (0.53) (0.53) (0.62) Epoch dummy (ad?) -2.39 -2.33 0.80 (0.62) (0.61) (0.64) constant 2.45 2.63 2.55 -1.19 (392) (3.89) (6.30) (4.76) No. countriea 56 56 50 52 No. obServations 275 275 136 139 F(regression) 17.27 16.51 6,93 14.05 R squared 0.41 0.41 0.28 0.50 49 Appendix: Data Sources and Coverage Shocks were identified using an annual index, while uncertainty was estimated using quarterly indices. Both indices have identical composition, use similar weights, and therefore differ only in terms of their frequency. It was necessary to use high frequency quarterly data to obtain convergence for the GARCH models used to estimate uncertainty, while discrete shocks are arguably better thought of as annual events. The indices are have constant 1990 base year weights, wherefore they do not cope well with shifts in the structure of trade. In particular, the indices do not capture resource discoveries and other quantity shocks after the base period. Nor do they capture temporary volume shocks except for those, which occur in the base year itself. However, since the purpose is to capture price rather than quantity movements, it is desirable to hold volumes constant. This also avoids possible endogeneity problems arising in the event of a volume response to price changes. Nevertheless, indices will understate income effects of a given price change. The data set covers 113 countries of which 44 are Sub-Saharan African countries, 16 are from the Middle East and North Africa, 19 are from Latin America, 7 are from South Asia, 9 are from East Asia, 5 from the Pacific, and 12 are from the Caribbean. The final country is South Africa. Table Al provides basic descriptive statistics on each country's structure of trade and regional affiliation. Each individual country's commodity price index is constructed using international commodity price indices for 57 commodities. Table A2 lists the commodities used. Price data are mainly from International Financial Statistics (IFS). The single exception is the price of cocoa used for African countries, which is from International Cocoa and Coffee Organization (ICCO), because the Ghanaian Cocoa series in IFS is not credible, and has major gaps. A few important commodities have not been included in the index due to lack of adequate data. These include notably prices of natural gas and uranium ore. The indices for countries whose exports are dominated by one or both of these commodities, such as Niger, which is a major uranium producer, should therefore be interpreted with caution. 50 The complete quarterly data set covers the period from 1957Q1 to 1997Q4, producing a total of 18,532 observations'2. Unfortunately, it was not possible to obtain IFS data starting in 1957Q1 for al. commodities, but since identical sample length is an important consideration when rmeasuring uncertainty, it was decided to generate the missing observations. This was do ne using a combination of methods. For series with missing values at the start of the series for which other highly correlated series were available, the missing values were generated using a partial adjustment regression equation: ln(X') = A + A ln(X'-1 ) + A ln( l) +e, [Al] where X, is the series with the missing early values and Y, is a highly correlated series with a full set of observations. The regression was run on overlapping observations, and then used to 'backcast' the missing observations. This method was applied to 'fill' the initial gap oF 12 observations in the Palm Kernels and African Cocoa series where the IFS series began only in 1960Q1. The close correlates were IFS Palm Oil prices and Brazilian Cocoa prices, respectively. For the following series with missing early values where no obvious correlates were available, the early gaps were filled using annual data as far as possible: Hardwood (1958Q1-1969Q4), Lead (1957Q1-1963Q4), Manganese (1957Q1-1959Q4), Rubber (1957Q1-1961Q4), Silver (1957Q1-1967Q4), Sorghum (1957Q1-1966Q4) and Sugar to US ports (1957Q1- 1962Q4). Finally, for the following few commodities there were no annual observations to indicate the movements of the quarterly series, wherefore the real price was held constant at the value of the first available observation: Coal (1957Q1- 1966Q2), Superphosphates (195 7Q1-1962Q4), and Tobacco (1957Q1-1967Q4). The nominal Gold price was held constant over the period of its missing observations (1957-1962q4). A few commodities had a occasional missing observations in mid- sample. These included Colombian coffee (1994ql-q4), Manganese (1963q2-1964q4; 1967q3-1968q4), Palm Kernels (1967q2-1967q4), Shrimps (1995q2), and Silver (1970q3). These gaps are all veiy short and were filled by linear interpolation. 12113 countries times 164 observations per country. 51 The biases introduced by filling early gaps in the data using annual data and holding real prices constant are unlikely to be very large for the following reasons. First, the GARCH based uncertainty measure allows the uncertainty to vary with time, so biases early on in the index have less of an effect in subsequent periods. Secondly, the problem of missing data mainly affects observations in the very early part of the indices, which is generally outside the sample range used in the core regressions. Finally, the number of affected observations are only 332 out of a total sample of 9348 observations'3, thus affecting only 3.46% of the observations. The annual data used to locate discrete shocks also covers the period 1957- 1997. Data availability was better than for the quarterly series. However, for a few commodities there were missing observations in first part of the series. These included Coal (1957-1966), Hardwood (1957), Superphosphates (1957-62), and Tobacco (1957-1967). The missing values for these commodities were generated by holding real prices constant at the value of the first available observation. Gold prices were unavailable for the period 1957-1962, and its nominal price was therefore held constant for this period. Finally, Palm kernel prices for 1957-1959 were generated as annual averages of the quarterly observations obtained by the regression with Palm Oil described above. The data on export values used in constructing the weighting item are exports (fob) in current US$ in 1990. It was not possible to obtain quarterly weights so annual 1990 weights were also used for the base year in the quarterly indices; this also avoids biases arising from any seasonal effects affecting output. The weights data are variously from UNCTAD's Commodity Yearbook 1994 and the UN's International Trade Statistics Yearbook (1993 and 1994). In some cases, the weights differed considerably across different sources for no obvious reason. In such cases, the most reasonable figure was chosen with reference to total exports data from alternative sources such as individual countries own national accounts statistics. In a few cases, it was not possible to obtain weights for the year 1990. In those cases a different base year was used for the weights. Effort was made to select a new base year as close to 1990 as possible. The cases with different base year weights are: 1994 (Aluminum, St. Vincent and Grenadines), 1984 (Beef, Haiti), 1994 (Jute, Rice and Hardwood, Myanmar); 1989 (Sugar, Dominica). For South Africa, weights used were those of the 1 57 commodities times 164 observations per commodity. 52 Southern African Customs Union (SACU) because data on individual member countries were unavailable. Given the different availability of price and weight data across commodities, there is a trade off between including additional commodities in each country's index and losing observations in the i:ime series dimension. For this reason, the final specification of the index for mo ,t countries does not include a complete set of the exported commodities. In deciding whether to drop or retain a commodity, the cost in terms of lost observations from including an additional commodity was balanced somewhat informally against the possible gain in terms of a more representative index. To ensure consistency and to minimize distortion to the final index, commodities were only dropped if they constituted less than 10% of the commodity exports of the country question, and if the number of available observations for the variable was lower than the nurnber of observations on all the other commodities included in the index (i.e. the commodity constituted a data constraint). Only one exception was made to this rule. Woodpulp was dropped from the index, because data was only available from 1983QI onwards. But Uruguay and South Africa produce this commodity in moderate an.ounts (5 and 10% of sampled commodity exports, respectively). So while the omission of this commodity is unlikely to affect most indices it may have a minor impact on the indices for these two countries. The quarterly and annua. indices for each the countries were deflated by the same deflator; namely the unit ralue index (1990=100) of industrial country exports from the International FinancicI Statistics. This index ('MUV') has been used as a deflator of commodity prices in other recent work, e.g. Cashin, Liang and McDermott (1999). 53 Table Al: Country Characteristics id country Region Producer 1990 Value of 1990 Value 19901ndexed 1990 Total type Indexed of Total Commodities Exports as a Commodities Exports as a Share of Share of GDP (US$m) (US$m) Total Exports 1 Algeria 2 4 2,309 14,425 0.16 0.23 2 Angola 1 4 2,800 1,493 1.87 0.39 3 Argentina 3 1 3,733 14,643 0.25 0.10 4 Bahamas, The 7 4 1,525 1,664 0.92 0.61 5 Bahrain 2 4 2,939 4,888 0.60 1.22 6 Bangladesh 4 2 617 1,882 0.33 0.08 7 Barbados 7 1 32 840 0.04 0.49 8 Belize 7 1 53 257 0.20 0.64 9 Benin 1 2 99 402 0.25 0.22 10 Bhutan 4 1 1 92 0.01 0.32 11 Bolivia 3 3 450 978 0.46 0.22 12 Botswana 1 1 116 1,895 0.06 0.56 13 Brazil 3 1 8,844 34,339 0.26 0.07 14 Burkina Faso 1 2 95 352 0.27 0.13 15 Burundi 1 1 68 89 0.76 0.08 16 Cameroon 1 5 1,011 2,275 0.44 0.20 17 Cape Verde 1 1 2 56 0.03 0.18 18 CAR 1 1 54 220 0.25 0.15 19 Chad 1 2 91 234 0.39 0.19 20 Chile 3 3 4,256 10,470 0.41 0.34 21 Colombia 3 1 3,806 8,283 0.46 0.21 22 Congo 1 4 1,103 1,433 0.77 0.51 23 Costa Rica 3 1 682 1,975 0.35 0.35 24 Coted'lvoire 1 1 1,667 3,421 0.49 0.32 25 Djibouti 1 1 2 249 0.01 0.55 26 Dominica 7 1 32 70 0.45 0.46 27 Dominican Republic 7 3 571 2,301 0.25 0.34 28 Ecuador 3 4 2,345 3,499 0.67 0.33 29 Egypt 2 4 956 8,647 0.11 0.20 30 El Salvador 3 1 213 892 0.24 0.19 31 Ethiopia 1 1 212 535 0.40 0.08 32 Fiji 6 1 216 879 0.25 0.64 33 Gabon 1 4 2,462 2,740 0.90 0.46 34 Gambia 1 1 13 201 0.07 0.69 35 Ghana 1 5 1,041 993 1.05 0.17 36 Grenada 7 1 8 110 0.07 0.49 37 Guatemala 3 1 651 1,509 0.43 0.20 38 Guinea 1 1 12 870 0.01 0.31 39 Guinea-Bissau 1 2 2 26 0.09 0.11 40 Guyana 3 1 224 249 0.90 0.63 41 Haiti 7 1 21 477 0.04 0.16 42 Honduras 3 1 427 1,108 0.39 0.36 43 India 4 1 3,158 23,026 0.14 0.08 44 Indonesia 5 4 11,515 29,912 0.38 0.26 45 Iran 2 4 17,036 26,476 0.64 0.22 46 Iraq 2 4 8,881 NA NA 0.27 47 Jamaica 7 3 851 2,207 0.39 0.52 48 Jordan 2 3 215 2,489 0.09 0.62 49 Kenya 1 1 377 2,234 0.17 0.26 54 50 Korea, Republic of 5 1 781 75,544 0.01 0.30 51 Kuwait 2 4 2,607 8,281 0.31 0.45 52 Lao P.D.R 5 1 12 98 0.12 0.11 53 Lesotho 1 2 7 89 0.08 0.14 54 Liberia 1 2 288 464 0.62 0.43 55 Madagascar 1 1 111 489 0.23 0.16 56 Malawi 1 2 382 447 0.85 0.24 57 Malaysia 5 4 8,548 32,664 0.26 0.76 58 Mali 1 2 218 415 0.52 0.17 59 Mauritania 1 3 232 473 0.49 0.46 60 Mauritius 1 1 358 1,724 0.21 0.65 61 Mexico 3 4 10,460 48,866 0.21 0.19 62 Mongolia 5 3 321 436 0.74 0.21 63 Morocco 2 3 1,179 6,849 0.17 0.27 64 Mozambique 1 1 61 230 0.26 0.16 65 Myanmar 4 2 218 NA NA 0,03 66 Namibia 1 3 202 1,217 0.17 0.49 67 Nepal 4 2 6 382 0.02 0.11 68 Nicaragua 3 1 279 253 1.10 0.25 69 Niger 1 2 5 420 0.01 0.17 70 Nigeria 1 4 12,754 12,366 1.03 0.43 71 Oman 2 4 4,768 5,555 0.86 0.53 72 Pakistan 4 2 873 5,918 0.15 0.15 73 Panama 3 1 200 4,611 0.04 0.87 74 Papua New Guinea 5 3 1,164 1,309 0.89 0.41 75 Paraguay 3 1 808 1,750 0.46 0.33 76 Peru 3 3 1,549 3,937 0.39 0.12 77 Philippines 5 1 1,326 12,198 0.11 0.28 78 Qatar 2 4 2,872 NA NA 0.52 79 Reunion 1 1 142 NA NA 0.05 80 Rwanda 1 1 121 145 0.83 0.06 81 Saudi Arabia 2 4 34,168 48,366 0.71 0.46 82 Senegal 1 1 252 1,512 0.17 0.27 83 Seychelles 1 2 0 256 0.00 0.68 84 Sierra Leone 1 3 41 215 0.19 0.24 85 Singapore 5 5 2,278 73,999 0.03 1.98 86 Solomon Islands 6 2 40 99 0.40 0.47 87 Somalia 1 1 43 90 0.48 0.10 88 South Africa 8 3 3,155 27,327 0.12 0.26 89 Sri Lanka 4 1 601 2,424 0.25 0.30 90 St. Kitts and Nevis 7 1 9 75 0.12 0.59 91 St. Lucia 7 1 78 288 0.27 0.72 92 St. Vincent 7 1 48 128 0.38 0.66 93 Sudan 1 2 253 653 0.39 0.07 94 Suriname 3 3 427 420 1.02 0.43 95 Swaziland 1 1 187 690 0.27 0.83 96 Syrian Arab Republic 2 4 1,690 3,413 0.50 0.28 97 Tanzania 1 1 200 555 0.36 0.13 98 Thailand 5 1 2,828 29,130 0.10 0.34 99 Togo 1 3 225 545 0.41 0.33 100 Tonga 6 1 0 36 0.01 0.32 101 Trinidad &Tobago 7 4 858 2,214 0.39 0.44 102 Tunisia 2 4 738 5,353 0.14 0.44 103 Turkey 2 2 891 20,016 0.04 0.13 55 104 Uganda 1 1 167 312 0.53 0.07 105 United Arab Emirates 2 4 13,403 22,331 0.60 0.66 106 Uruguay 3 1 656 2,185 0.30 0.26 107 Vanuatu 6 1 11 71 0.15 0.46 108 Venezuela 3 4 10,371 19,168 0.54 0.39 109 Western Samoa 6 1 5 45 0.10 0.31 110 Yemen, Republic of 2 1 40 689 0.06 0.15 111 Zaire 1 3 949 2,758 0.34 0.30 112 Zambia 1 3 1,167 1,180 0.99 0.36 113 Zimbabwe 1 2 830 2,174 0.38 0.32 TOTAL 217,253 714,155 (Note: Regions: I-Sub-Saharan Africa; 2-Middle East and North Africa; 3-Latin America; 4-South Asia; 5-East Asia; 6-Pacific; 7-Caribbean; 8-South Africa. Type: I-Agricultural food stuffs; 2-Agricultural non-foods; 3-Non-Agricultural non-oil commodities; 4-Oil; 5-Mixed; 'NA': not available). 56 Table A2: Commodities Used in Country Indices ID IFS Name IFS Code 1990 Value of World 1990 Share in Exports (US$m) World Commodity Exports 1 ALUMINUM 15676DRDZF ... 4,514 0.021 2 BANANAS 24876U.DZF ... 1,993 0.009 3 BEEF 19376KBDZF ... 1,360 0.006 4 COAL 19374VRDZF ... 1,489 0.007 5 COCOA (Brazil) 22374R.DZF ... 992 0.005 6 COCOA (ICCO) OBCS 1,617 0.007 7 COCONUT OIL (Philippines) 56676AI.ZF ... 361 0.002 8 COCONUT OIL New York 56676AIDZF ... 163 0.001 9 COFFEE BRAZIL 22376EBDZF ... 1,283 0.006 10 COFFEE COLOMBIA 23376E.DZF ... 1,473 0.007 11 COFFEE OTHER MILDS 38676EBDZF ... 2,539 0.012 12 COFFEE UGANDA 79976ECDZF... 1,357 0.006 13 COPPER UK 11276C.DZF ... 8,889 0.041 14 COPRA PHILIPP 56676AGDZF ... 68 0.000 15 COTTON 11176F.DZFM40 3,626 0.017 16 FISHMEAL 29376Z.DZF ... 768 0.004 17 GOLD 11276KRDZF ... 617 0.003 18 GROUNDNUT OIL 69476BIDZF ... 222 0.001 19 GROUNDNUTS 69476BHDZF ... 172 0.001 20 HARDWOOD 54876RMDZF ... 1,850 0.009 21 HIDES 11176P.DZF ... 603 0.003 22 IRON ORE 22376GADZF ... 4,164 0.019 23 JUTE 51376X.DZF ... 743 0.003 24 LAMB 19676PFDZF ... 32 0.000 25 LEAD 11176V.DZF ... 272 0.001 26 LINSEED OIL 00176NIDZF ... 96 0.000 27 MAIZE 11176J.DZFM17 744 0.003 28 MANGANESE 53476W.DZF ... 717 0.003 29 NEWSPRINT 17272UL.ZF ... 143 0.001 30 NICKEL 15676PTDZF ... 939 0.004 31 OIL 00176AADZF ... 143,187 0.659 32 PALM KERNELS 54876DFDZF ... 0 0.000 33 PALM OIL 54876DGDZF ... 1,994 0.009 34 PHOSPHATE ROCK 68676AWDZF ... 902 0.004 35 RICE 57874N .ZF... 866 0.004 36 RICE THAILAND (BANGKOK) 57876N.DZFM81 923 0.004 37 RUBBER 11176L.DZF... 2,007 0.009 38 RUBBER MALAYSIA 54876L.DZF... 1,122 0.005 39 SHRIMP 11176BLDZF... 4,643 0.021 40 SILVER 11176Y.DZF... 715 0.003 41 SISAL 63976MLDZF... 54 0.000 42 SORGHUM 11176TRDZF... 24 0.000 43 SOYBEAN MEAL 11176JJDZF... 1,626 0.007 44 SOYBEAN OIL 11176JIDZF... 1,073 0.005 45 SOYBEANS 11176JFDZF... 1,932 0.009 46 SUGAR 223741.DZF... 1,861 0.009 47 SUGAR EEC IMPORT 112761.DZF... 1,406 0.006 48 SUPERPHOSPHATE 11176ASDZF... 498 0.002 49 TEA (Sri Lanka) 52474S .ZF... 493 0.002 57 50 TEA AVERAGE AUCTION 11276S.DZF ... 1,262 0.006 51 TIN (Bolivia) 21874Q.DZF ... 84 0.000 52 TIN ALL ORIGINS 11276Q.DZF ... 2,566 0.012 53 TOBACCO 11176M.DZF ... 1,050 0.005 54 UREA 17076URDZF ... 445 0.002 55 WHEAT 11176D.DZF ... 1,259 0.006 56 WOOL 11276HDDZF ... 720 0.003 57 ZINC 11276T.DZF... 733 0.003 TOTAL 217,253 1.000 (Note: 'QBCS' stands for Quaterly Bulletin of Cocoa Statistics) 58 References 1. 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