The Australian National University Centre for Economic Policy Research DISCUSSION PAPER Why Has Wage Inequality Risen Most Where Wage Shares Have Fallen Least? Declan Trott DISCUSSION PAPER NO. 685 October 2013 Keywords: wage inequality, wage share, labour share, bottom 99% JEL codes: D33, E25, J31 ISSN: 1442-8636 ISBN: 978-1-921693-69-4 WHY HAS WAGE INEQUALITY RISEN MOST WHERE WAGE SHARES HAVE FALLEN LEAST? Declan Trott 1 Most developed countries have experienced rising wage inequality and falling wage shares, which are often blamed on the same forces – globalisation, technical change, and weakening labour market institutions. This paper shows, however, that wage inequality has risen the most in those countries where wage shares have fallen the least, and vice-versa. It is difficult to plausibly account for this pattern using a range of proxies for the above and other suggested explanations. Excluding the top 1% of incomes from the wage share makes little difference to the results. Keywords: wage inequality, wage share, labour share, bottom 99% JEL codes: D33, E25, J31 1 Department of Employment, 50 Marcus Clarke Street, Canberra, ACT 2601, Australia. Email: [email protected] Thanks for helpful comments especially to Paul Chen and Andrew Leigh; also Heather Anderson, Robert Breunig, Greg Connolly, Tanuja Doss, Steve Dowrick, Shane Evans, Dana Hanna, Andrew Leigh and Thomas Lemieux, and seminar participants at the Australian National University and the Australian Conference of Economists. The opinions expressed in this paper are solely the author’s and are not those of the Department of Employment or the Australian government. INTRODUCTION In the last few decades, wage inequality has risen considerably in many developed countries, particularly the United States. The causes of this rise have been the subject of much debate: international trade was initially the main suspect, followed by skill biased technical change. More recently, the role of labour market institutions has received attention, as has immigration. All of these interpretations still have their defenders and detractors – see Gordon and DewBecker (2008) for a survey, or Machin (2008) for a more international perspective. Over the same period, the share of labour compensation in gross domestic product, a.k.a. the wage share, has been falling in many countries, particularly in continental Europe. Interestingly, the most common explanations fall into the same categories as those proposed for increasing wage inequality: globalisation, technology, and institutions (e.g. Blanchard and Giavazzi 2003, Jaumotte and Tytell 2007). It would seem natural to analyse these two trends together rather than separately. After all, they are both outcomes of the same structural process: the interaction between labour supply, labour demand, and institutions that determines employment and wages. Moreover, exactly the same theories have been advanced to explain both trends. Yet they have rarely been considered jointly. Checchi and Garcia-Penalosa (2008, 2010) are an exception, integrating wage inequality and the wage share in their analysis of overall income inequality. They do not, however, make any comparison between the trends in wage inequality and wage shares across countries. Such a comparison is at the heart of this paper. In a sample of twelve OECD countries from 1975-2009, wage inequality has risen in most, and the wage share has fallen in all. Surprisingly, however, wage inequality has risen the most in precisely those countries where wage shares have fallen the least, while wage shares have fallen the most where inequality is stable or even falling. Individually, these differences have not gone unnoticed in the literature. While the 2 emphasis has been on rising wage inequality in the United States and falling wage shares in Europe, there has been some discussion of the dogs that did not bark – stable European wage inequality and the muted fall in the wage share in the US. Since these have been treated as separate subjects, however, their full significance has possibly not been appreciated. Hornstein et. al. (2005) mention the contrasting trends in the two variables, but only for the United States compared to continental Europe as a whole. It is shown here that the relationship holds for a larger sample which includes several continental countries individually, as well as other Englishspeaking and Asian economies. The most common explanations for rising wage inequality and falling wage shares, however, sit oddly with the inverse correlation between the strength of the two trends. Whether one blames the effects of globalisation, technological change, or weakening labour market institutions, it seems logical that, if both trends are being driven by the same forces, bigger rises in wage inequality should be correlated with bigger, not smaller, falls in the wage share. A more complex story involving additional variables, or perhaps interactions between shocks and institutions, seems to be required. To explore these possibilities, I estimate panel regressions with the wage share and wage inequality as dependent variables, using a range of proxies for globalisation, technical change and institutions, as well as education, capital accumulation and the output gap. The results should be seen as analogous to a growth accounting or inequality decomposition exercise, rather than an attempt to identify the exogenous ‘deep determinants’ of wage inequality and the wage share. These models, however, do not even provide a convincing proximate explanation of the puzzle. Finally, extending the work of Glyn (2009) for the United States, I calculate bottom 99% wage shares using data from the World Top Incomes Database. These give a better picture of what is happening to typical workers than wage shares inclusive of the top 1%, whose incomes have expanded dramatically in some countries. The adjustment does not, however, substantially 3 change the results: it increases the size of the falls in the wage share, but the relationship with changes in wage inequality (and its resistance to plausible accounting) remains unchanged. The paper is organised as follows. Section I documents the puzzle that the rest of the paper seeks to explain. Section II discusses popular explanations for rising wage inequality and falling wage shares. Section III describes the explanatory variables and estimation technique for the panel regressions. Section IV presents the results. Section V details the bottom 99% adjustment to the wage share and its consequences. Section VI concludes. I. THE PUZZLE Wage inequality has risen most where the wage share has fallen least. To ensure the robustness of this key result, two different measures of wage inequality and three of the wage share are used. For wage inequality, the ratio between the 9th and 1st deciles of full-time earnings, for all persons and for men only, is taken from the OECD. For the wage share, one series is also from the OECD, and two alternatives (market price and factor cost) from AMECO. (A more detailed description of these and all subsequent variables is given in the Appendix.) Selecting only those countries for which both variables are available prior to the 1990s gives an unbalanced panel covering twelve countries from 1975-2009. The endpoint is chosen to match the availability of additional variables used later in the paper. The evolution of wage inequality over this period is shown in Figure 1. It is rising or stable over time in most countries, although France shows a perceptible decline. (South) Korea exhibits a striking U-shaped pattern, and is suspiciously uniform in the first decade. The both sexes and men only series track each other fairly closely, with the men showing, if anything, a slightly greater rise in inequality. <Figure 1 about here> The three measures of the wage share are shown in Figure 2. All display similar declines 4 over time in all countries. New Zealand has an unusually low, and Korea an unusually high, wage share. The level of the AMECO market price share is lower, as expected (see Appendix). <Figure 2 about here> The focus of this paper is on how the trends in these two variables have related to each other over time. I therefore calculate the change in the three-year centred moving averages of both from 1981-2004 and 1987-2007. These time periods were chosen as having the maximum number of available countries out of all periods of at least two decades, for which the three-year averages do not overlap. Table 1 shows the correlations between these changes for each pair of wage inequality and wage share measures, which are all positive – for all combinations of variables and time periods, wage inequality has risen most in those countries where wage shares have fallen least – and mostly highly significant. The significance levels are even more surprising on reflection, since even the null of zero correlation that is being rejected would be odd if rising wage inequality and falling wage shares were being driven by the same forces. Furthermore, use of a one- rather than two-sided alternative would halve the p-values again. The correlations are higher for the 1981-2004 period than for 1987-2007. Among other gaps, all correlations using the AMECO wage share exclude Korea, and 1981-2004 Italy and New Zealand, because of missing data. <Table 1 about here> As a final check, I calculate OLS time trends for the OECD wage share and all persons decile ratio for each country for 1980-2008. The correlation between the wage share and inequality coefficients is 0.80, based on 12 observations. Figure 3 illustrates the pattern for the 1981-2004 time period, all persons decile ratio, and OECD wage share, which are used in the rest of the analysis. 1981-2004 is longer than 19872007, closer in its results to that of the time trends, and allows greater availability of the other data used in the regressions. Since the correlation between changes in wage shares and inequality 5 is higher in the earlier period, it is also more of a challenge to explain. The decile ratio for all persons is preferred to that for men, and the OECD wage share to the AMECO versions, both for their greater availability and the desirability of using a common data source. <Figure 3 about here> Visually, the pattern described in Table 1 is clearly evident. Where wage inequality has risen the most, in Denmark, the United Kingdom, and the United States, the wage share has fallen the least, by only a few percentage points. By contrast, wage inequality has actually fallen in Finland, France, Japan, and Korea, which have experienced much larger, often double-digit falls in the wage share. While there is clearly a general trend towards falling wage shares and rising wage inequality, the variation between countries is much more striking than these overall trends. One may speak roughly, as do Hornstein et. al. (2005), of a contrast between the US and continental Europe, but the pattern is wider. Not only do the additional English-speaking and Asia-Pacific economies fit, but there is almost as much variation within Europe as there is in the whole sample. Why is this surprising, and potentially important? If rising wage inequality and falling wage shares were being driven by the same forces, such as a common shock from globalisation or technological change, and these forces were similar in their impact across countries, one would expect all countries to have a similar experience: Figure 3 should be a single dot, or tight ball. If the same forces were at work, but operating with different strengths or timing across countries – some countries may be more or less open to the world economy, adopt new technology at a different pace, or have different institutions – Figure 3 should slope in the opposite direction, with large rises in wage inequality correlated with larger falls in the wage share. Even if the trends were driven by totally independent forces, or if the data was of such low quality as to be meaningless, one would expect merely a lack of any discernible pattern. The result may imply either that the causes of declining wage shares and rising inequality are distinct 6 and negatively correlated, or that given shocks have very different effects in different countries. II. STORIES A variety of explanations have been advanced for rising wage inequality and falling wage shares. While the wage inequality literature is vast, its main themes are fairly few. The following discussion relies on the surveys of Gordon and Dew-Becker (2008) and Machin (2008). Since the wage share literature is smaller, relevant papers are cited individually. Globalisation incorporates capital mobility, international trade, and immigration, since the logic is similar in all cases – they tend to help the relatively abundant factor(s) in an economy, and hurt the relatively scarce factor. This may be through factor mobility directly changing relative factor supplies, or through trade replicating these effects as in the HeckscherOhlin theorem. As Jaumotte and Tytell (2007:5) put it: ‘. . . the effective global labor supply quadrupled between 1980 and 2005 . . . Advanced economies can access this increased pool of global labor both through imports of goods and services and through immigration.’ In the case of a developed country, capital is abundant relative to labour, and skilled labour relative to unskilled. Therefore, it is argued, globalisation will reduce the wage share and increase wage inequality. Making these assertions simultaneously would logically require consideration of at least a three-factor production function, but this is rarely done explicitly. Another caveat is that factor mobility would not necessarily lead to a change in the wage share, as opposed to wage rates, depending on the elasticity of substitution between capital and labour. These complications are explored below in the discussion of capital accumulation. Technology has often been cited as a driver for wage inequality – skill biased technical change has raised the demand for skilled workers relative to unskilled, while the supply has not kept up. Hence, wages for skilled workers have increased relative to those for unskilled workers. It is also possible that technological change affects the wage share, although the effect is 7 theoretically indeterminate, depending on whether capital or labour is being augmented/saved, and, again, the relevant elasticities of substitution. Bentolia and St Paul (2003) and Guscina (2006) both argue that technical change has been biased in favour of capital in the relevant time period. Institutions, like globalisation, is something of a catch-all term. With respect to the labour market, it usually refers to various laws and regulations (e.g. concerning minimum wages, unions, employment protection, and unemployment benefits), as well as social norms regarding fair pay levels. In general, these institutions are considered to alter the relative power of different parties within some kind of implicit or explicit bargaining framework. A stronger bargaining position for either party leads almost tautologically to higher income. Strong institutions are generally considered to favour lower paid workers, so that their weakening is seen as a cause of rising wage inequality. Similar arguments have been advanced for labour as a whole vs. capital, so that weaker institutions would lower the wage share (e.g. Blanchard and Giavazzi 2003, and Bental and Demougin 2006). Education is almost universally cited as a factor affecting wage inequality. If an increase in the demand for skilled labour tends to increase wage inequality, an increase in the supply of skilled labour should logically reduce it. Daudey and Decreause (2006) argue that higher levels of education will also increase the labour share by making workers more mobile. While education levels are almost universally rising, it is suggested that it is ‘losing the race’ with the other factors mentioned above, hence contributing by omission to higher wage inequality (and possibly lower shares). These explanations have simple, appealing theoretical arguments behind them, and are given plausibility by the general direction of change in the world economy. Yet it is precisely because they can explain both rising wage inequality and falling wage shares that they seem unpromising as reasons why the strength of the two trends is inversely correlated across 8 countries. If we are interested in explaining this correlation, we must look elsewhere, or argue that these forces are not uniform in their effects. For example, shocks from globalisation or technical change may affect countries differently depending on their institutions. We now turn to several alternative possibilities. Product market competition may be an important factor. If firms have monopoly power, they can increase their profits by restricting output (and thus employment and wage income) relative to the competitive level. Conversely, more competitive product markets should increase the wage share, although the effect is less clear if monopoly rents are shared with unions (Ripatti and Vilmunen 2001). The effect on wage inequality is less obvious, but Lindsey (2009) argues that more competitive product markets may undermine institutions such as unions that support wage compression. Capital accumulation could affect the wage share depending on the elasticity of substitution between labour and capital. A value of one for this elasticity (as in a Cobb-Douglas production function) implies constant factor shares, irrespective of the capital-labour ratio. If the value is below one, the wage share rises with the capital-labour ratio; above one, and it falls. This conclusion is, however, conditional on accumulation being exogenous with respect to technical progress. If it is instead a response to labour augmenting technical progress, factor shares will remain constant whatever the elasticity of substitution (Arpaia, Perez and Pichelmann 2009). Andersen, Klau and Yndggard (1999), Chirinko (2008), and Checchi and Garcia-Penelosa (2010) all argue that the literature supports an elasticity of less than one, although Bentolia and Saint-Paul (2003) present a range of estimates on either side. Regarding wage inequality, capital and skilled labour are generally considered to be complements (Hamermesh 1993), so that capital accumulation should increase the relative demand for, and hence the wages of, skilled labour, all else being equal. A combination of these two mechanisms – an elasticity of substitution between capital 9 and labour of less than one, and capital skill complementarity – might seem to imply that capital accumulation can increase both wage inequality and the wage share, thus providing a partial solution to our puzzle (although we would still require some other reason why wage shares are generally falling). However, insights from a two-factor setting do not always transfer smoothly when three factors are considered. For example, a popular way of modelling capital-skill complementarity is to aggregate capital K and skilled labour S, and then combine this aggregate with unskilled labour U i.e. Y gU , f K , S , where f and g are CES functions (Krusell et. al. 2000). This function displays capital-skill complementarity as long as the elasticity of substitution between K and S in f is less than the elasticity of substitution between U and f K , S in g. Unfortunately, the effect of capital accumulation on the wage share in this setting is ambiguous (Arpaia, Perez and Pichelmann 2009). By contrast, the more conventional approach of aggregating skilled and unskilled labour i.e. Y gK , f S ,U makes the labour share simple to compute, but eliminates capital-skill complementarity. A more complex interaction between capital accumulation and institutions is presented by Hornstein et. al. (2005), who incorporate vintage capital in a search model, and show that the effects of an increase in the rate of capital-embodied technical progress depend on the level of regulation of the labour market. Qualitatively, they find that the more regulated ‘European’ economy should experience a lower wage share, higher unemployment and lower wage inequality relative to the less regulated ‘US’ economy. Quantitatively, their simulations generate a large fraction of the observed divergence in the labour share and unemployment, but not in wage inequality. Although not capable of accounting for the puzzle, it is an interesting example of the possible interactions between shocks and institutions mentioned above. Top incomes are a potential complicating factor. The wage share can include some very high incomes that might more properly be classed separately from the income of the mass of 10 workers. We may broadly say that the UK and US have seen greater rises in wage inequality and smaller falls in the wage share when compared with most of Europe and Japan. It is well known that these are also the countries where the trend towards increasing CEO pay has been the strongest (Gabaix and Landier 2008). More generally, many refer to a distinct Anglo-Saxon form of capitalism, with features such as a reliance on financial markets over banking, more dispersed shareholding (Morck 2009), and more lawyers (Karabel 2010 Fig. 11). Perhaps, in marginal product terms, there should have been a shift from labour to capital everywhere, but in Englishspeaking countries a large portion has been siphoned off by rent-seeking executives, financiers, and lawyers. Alternatively, the earnings of ‘superstars’ should have been rising everywhere at the expense of the average worker, but have been repressed in Europe and Japan by some combination of social norms, regulation, higher taxes, and smaller native language labour markets, so the benefits have flowed to the owners of capital instead. III. DATA AND METHODS Explanatory variables were selected based on a mix of theoretical considerations, empirical support from previous studies, and data availability. More details, and descriptive statistics, are given in the Appendix. Because of data availability and quality issues, Korea was not included in the regressions. The preferred measure of globalisation is the constant price trade share of GDP, from the Penn World Table. It is commonly used in the literature e.g. by Guscina (2006) and Bassanini and Manfredi (2012). While there has been criticism of the use of this variable in growth regressions, it seems more reasonable in this context, since reverse causation from wage shares or inequality to trade seems less likely than from growth, and the use of country fixed effects and logarithms controls for the tendency of smaller economies to have larger trade shares. Price rather than quantity-based measures may also be used, as in Jaumotte and Tytell (2007) and Ellis 11 and Smith (2010). I follow the latter in using the BIS real exchange rate index as an alternative to the trade share. Finally, the sum of foreign assets and liabilities (as a share of GDP) is used as an indicator of financial or capital market globalisation, following the ILO (2013). Immigration was not included, since its effects should be captured by the capital-output ratio and education measures. Institutions are proxied by a range of variables: union density, bargaining coverage, and wage coordination from the ICTWSS database, and the unemployment benefit replacement rate, from Van Vliet and Caminda (2012). As argued by Booth (1995:5) and Checchi and Visser (2009), bargaining coverage gives a better indication of the strength of the institutional wage floor than the more commonly used union density. In France, for example, collectively bargained wages and conditions cover a large and rising majority of the workforce despite low and falling union membership. As well as being included in levels, the institutional variables are also interacted with a time trend, to capture the possibility that a common shock might affect countries differently depending on their institutions. Minimum wages were not used, since Denmark, Finland, Sweden, and the UK lacked a national minimum wage for most or all of our period. Education is measured by the average years of education and the share with some tertiary education in the prime working age population, from Barro and Lee (2010). The International Institute for Applied Systems Analysis (IIASA) provides an alternative source for the latter variable. Technology and capital accumulation are proxied by total or multifactor productivity (TFP and MFP, from AMECO and the OECD respectively) and the capital-output ratio (K/Y, from the OECD), following Bentolia and Saint-Paul (2003) and Bassanini and Manfredi (2012). (Theoretically, we are really interested in factor-specific technical change, but this is difficult to calculate and not widely available. See e.g. Ripatti and Vilmunen 2001.) 12 The OECD’s output gap is also included, since it is generally believed that the wage share is anticyclical. Some measure of product market competition would seem desirable, but product market regulation was found to be insignificant by Jaumotte and Tytell (2007) and Ellis and Smith (2010). As for other measures, Przybyla and Roma (2005) conclude unhelpfully that ‘amongst the proxies used mark-up, measured as the inverse of the labour income share, performs best.’ Also not included is any variable for the sectoral makeup of each economy. Azmat, Manning and van Reenen (2011) argue that privatization has reduced the wage share within network industries, and speculate that the shift out of manufacturing may be important. Empirically, however, Lawless and Whelan (2007), Glyn (2009), and Bassanini and Manfredi (2012) all find that the fall in the wage share is largely a within sector phenomenon. Finally, the contribution of top incomes is controlled for by the calculation of bottom 99% wage shares, following the work of Glyn (2009) for the United States. Data from the World Top Incomes Database are used to calculate the earnings of the top 1%, which are subtracted from the total economy wage share. Estimation In estimating regression models for wage inequality and the wage share, the interest is not simply in the significance and size of individual coefficients (particularly as the models are probably overfitted – e.g. the capital-output ratio may well be affected by other variables), but in whether the whole set of variables can explain why wage inequality has risen most in those countries where wage shares have fallen least. The starting point for our accounting is a model with year and country fixed effects (FE) as the only explanatory variables. This captures the differences between countries that do not 13 change over time, and changes over time which affect all countries equally, making it a natural baseline when trying to explain differences between countries that do change over time. The correlation between the residuals from the wage share and wage inequality regressions is a simple indication of whether there is an unexplained relationship between the two variables. Given the results in Section I, one would expect a strongly positive correlation in the FE only model. The hope is that the addition of explanatory variables will reduce this correlation. I also calculate an R2-like measure of the models’ ability to explain the long-run changes illustrated in Figure 3. Any observed value y it of wage inequality or the wage share for country i and year t may be expressed as the sum of a model prediction ŷ it and residual û it . Omitting time subscripts, the change from any year to any other in country i is therefore y i yˆ i uˆ i . The fraction of (between-country) variance in the (within-country) changes explained by the model is (1) ' R2 ' 1 Var uˆ i Varyi . This is zero for the FE only model, since the predicted change is simply the change in the year fixed effect, which does not vary across countries. The seemingly unrelated regression (SUR) estimator is used, with year and country. SUR is convenient for computing residual correlation, and more sophisticated methods were not considered to offer either a plausible identification strategy or any advantage for the more modest accounting objectives of this paper. Bassanini and Manfredi (2012), for example, use a range of dynamic and GMM estimators, but put most emphasis on their static FE estimates. The fixed effects not only control for time trends and unobserved heterogeneity, but also provide useful diagnostic information. One would hope that inclusion of additional explanatory variables would shrink the year and country FE (relative to the FE only baseline), as some of the differences across time and between countries were explained. 14 IV. RESULTS Column 1 of Table 2 shows the baseline model with year and country FE as the only explanatory variables. The correlation between the residuals from the wage inequality and wage share equations is positive and highly significant, indicating that, after the fixed effects are removed, wage inequality tends to be high when wage shares are high. <Table 2 about here> The remaining columns of Table 2 show the estimation results from a range of models using four different proxies for labour market institutions. Table 3 shows the results using alternative proxies for globalisation, technical change, and education. Columns 5 and 6 reestimate the models from columns 1 and 2 of Table 2 on the smaller data set for which the OECD MFP measure is available. They also show that using the changes from 1987-2007 rather than 1981-2004 lowers the ‘R2’s, but does not change the overall pattern of results. Some results seem promising: the residual correlations are much lowered from the FE only model, often to statistical insignificance, and the ‘R2’s are fairly high, especially for wage inequality. <Table 3 about here> Consideration of individual regression coefficients, however, belies this promise. We are particularly interested in variables which are significant in one equation but not the other, or are significant in both with the same sign, as only these can help explain why wage inequality has risen the most where wage shares have fallen the least. While there are several such variables – technology, education, and the institutional measures, as well as the capital-output ratio – many are not plausible as causal mechanisms. One would not wish to argue, for example, that increasing educational attainment would reduce the wage share, that doubling TFP or the capitaloutput ratio would diminish the 9/1 decile ratio by one, or that going from zero to complete bargaining coverage in 1980 would have increased the decile ratio by nearly 0.6. The signs of the 15 estimated coefficients do not change when different proxies for institutions, globalisation, technology, and education are used. Even their sizes (where comparable) are not wildly different, indicating what may be termed genuine spurious correlations and not just artefacts of particular data sources. Examination of the fixed effects reinforces this scepticism. In the FE only model, the year FE rise steadily for wage inequality and fall steadily for the wage share, in line with the overall trends in these variables (the 2007 values are shown in Tables 2 and 3). In all models with additional explanatory variables, however, the increase in the wage inequality year FE is much larger than in column 1 – around 1, rather than 0.4, in 2007 – and they actually rise rather than fall for the wage share – positive, sometimes double-digit values in 2007 rather than -8. In other words, the non-FE explanatory variables predict a counterfactual overall fall in wage inequality and rise in the wage share over the sample period! The country FE (not shown) are not generally reduced in size by the inclusion of the explanatory variables either. Table 5 shows some illustrative examples of specification searching, starting from the preferred model in column 2 of Table 2 and dropping the variables with the most egregiously implausible coefficients. The results are not encouraging. By column 2, the ‘R2’ for the wage share has been halved. Even the remaining explanatory power depends on dismissing the negative correlation of the capital-output ratio with wage inequality as contrary to capital-skill complementarity and hence spurious, but accepting the negative correlation with the wage share as a genuine causal mechanism (via a capital-labour substitution elasticity of greater than unity, or embodied labour-saving technical progress). When the ratio is removed from the wage share regression in column 3, the ‘R2’ goes to zero. The wage inequality equation stands up better, but cannot explain the puzzle on its own. Other specifications not shown here, such as a ‘kitchen sink’ model with multiple institutional and globalisation proxies, and a ‘plausibly exogenous’ model including only education and institutions, were equally unrewarding. 16 V. BOTTOM 99% WAGE SHARES Can the removal of top earnings from the wage share alter this picture? Two different estimates of the labour component of the top 1% income share are used. Measure A uses World Top Income Database data on ‘Top 1% income composition-Wages, salaries and pensions’. This method probably understates the desired adjustment by missing self-employment income. Method B assumes that the capital-labour split within the top 1% is the same as that for the whole economy, which probably overstates the adjustment. In both cases, the bottom 99% wage share is calculated by subtracting the resulting number from the wage share. I.e. share99 _A share wsp.top1 , share99 _B share( 1 top1 ) (2) where share99_A and _B are measures A and B of the bottom 99% wage share, share is the OECD total economy wage share, top1 is the top 1% income share, and wsp is the wages, salaries and pensions composition. For example, if the wage share is 60% of GDP, the top 1% income share is 10%, and 60% of this is attributed to labour via wsp or share, then the bottom 99% wage share is 54%. The method is not strictly identical to that of Glyn (2009), since it subtracts the wage incomes of the top 1% of income earners rather than the top 1% of wage earners. <Figure 4 about here> Figure 4 shows the two measures of the bottom 99% wage share along with the unadjusted OECD wage share. The adjustment clearly makes a bigger difference in some countries than others, and produces a noticeably bigger fall than the unadjusted OECD measure in the UK and US. As expected, measure B usually produces a lower wage share, especially in Italy. <Figure 5 about here> Figure 5 recreates Figure 3 with the changes in the bottom 99% wage share (measure A) superimposed. While the bottom 99% wage shares have generally fallen more over time, the 17 differences between countries, and the correlation between larger rises in wage inequality and smaller falls in the wage share, are little reduced. The last point is confirmed in Table 5 for both time periods and measures of the bottom 99% wage share. <Table 5 about here> Table 6 shows the results of using measure A of the bottom 99% wage share in the FE only and preferred models from Table 2. While the residual correlations and ‘R2’ for the wage share are slightly lowered, the broad outline of the results remain unchanged. Only the FE only and coverage specifications are shown, but the results for the other models (and using measure B of the 99% wage share) are similar. Although only six observations are lost by using the bottom 99% wage share, models using the total wage share are also estimated on the smaller sample for comparison. Again, this does not significantly change the results. <Table 6 about here> VI. CONCLUSION We have examined the evolution of wage inequality and wage shares since 1975 for a sample of twelve OECD countries. There is a trend towards higher wage inequality in most countries, and lower wage shares in all. Considering these trends jointly rather than individually, however, brings out an underappreciated point. They are inversely related at a country level: wage inequality has risen most in those countries where wage shares have fallen least, and vice-versa. This finding is robust to different measures of wage inequality and wage shares, and different time periods of two decades and more. It is surprising, since the same forces, such as globalisation, technology, and institutions, are often blamed for both rising wage inequality and falling wage shares. A wide range of variables representing these forces and others proves unable to give a convincing explanation within a panel regression framework. Removing the incomes of the top 1% from the wage share does not improve the situation. 18 If the relationship between changes in wage inequality and changes in wage shares is still a mystery, this paper has hopefully succeeded in the more modest aim of highlighting the existence of this previously ignored puzzle, and the challenge it poses to popular explanations of rising wage inequality and falling wage shares. Given that they have received so much attention as individual phenomena (the x co-ordinate of the US data point in Figure 3 must have inspired dozens if not hundreds of papers), the fact that the two trends have such a strong and counterintuitive relationship should excite considerable curiosity. The puzzle may reflect shocks that have not yet been identified, interactions between shocks and institutions that cause a common shock to have different effects in different countries, or simply the need for better data. Product market competition, particularly, seems potentially important, and it would seem desirable to have a better proxy for it than the wage share itself. The effects of endogenous technological change, possibly over a longer period than that of our data set, also invite further consideration. Wage shares in many countries were rising before 1975 (when, unfortunately, wage inequality data is much less available), and theories of endogenous technological change might explain the later falls in terms of induced labour-saving invention, although a preliminary investigation showed little correlation between the size of the initial rises and subsequent falls. 19 REFERENCES Andersen, P., Klau, M. and Yndgaard, E. (1999). ‘Higher Profits and Lower Factor Prices: Is Capital Allocation Optimal?’ Bank for International Settlements Working Paper No. 65. Arpaia, A., Perez, E. and Pichelmann, K. (2009). ‘Understanding Labour Share Dynamics in Europe’, MPRA Paper No. 15649. 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(2009). ‘Inequality and the Labor Market: Unions’, in Oxford Handbook of Economic Inequality, eds. Wiemer Salverda, Brian Nolan and Timothy Smeeding. New York: Oxford University Press. 23 APPENDIX Data sources 9/1 decile ratio for all persons and for men only, downloaded 10 September 2013 from stats.oecd.org/ (Labour: Earnings: Decile Ratios of Gross Earnings). Some one and two year gaps were filled using linear interpolation. Wage shares OECD ‘Total economy’ downloaded 10 September 2013 from stats.oecd.org/ (Labour: Labour Costs: Unit Labour Costs: Annual Indicators: Labour Income Share Ratios); AMECO ‘Market prices’ and ‘Factor cost’ downloaded 10 September 2013 from ec.europa.eu/economy_finance/ameco/user/serie/SelectSerie.cfm Table 7.6: Adjusted wage share. Both include nonwage compensation, and are adjusted for self-employment on the assumption that the self-employed have the same average wage as employees. Since GDP at market prices equals GDP at factor cost plus taxes less subsidies on products, the wage share at market prices has a larger denominator (i.e. is smaller) than the wage share at factor cost. Trade share of GDP at constant 2005 prices, downloaded 9 October 2012 from pwt.econ.upenn.edu/php_site/pwt_index.php. Real exchange rate (2005=1), downloaded 8 November 2012 from www.bis.org/statistics/eer/. Converted from monthly to annual using Stata’s ‘collapse’ command. Foreign assets and liabilities as a share of GDP, downloaded 24 June 2013 from http://www.imf.org/external/pubs/ft/wp/2006/data/update/wp0669.zip. Capital-output ratio and total factor productivity, downloaded 12 September 2013 from ec.europa.eu/economy_finance/ameco/user/serie/SelectSerie.cfm (Table 8.1: Net capital stock at constant prices: total economy; Table 8.2: Factor productivity: total economy). Multi-factor productivity downloaded 23 May 2013 from http://stats.oecd.org/ (Productivity: Multi-factor Productivity). Growth rates converted to levels with 1984=100. 24 Union density, bargaining coverage, and wage coordination from the Institutional Characteristics of Trade Unions, Wage Setting, State Intervention and Social Pacts Database Version 4, downloaded 12 September 2013 from www.uva-aias.net/208 (variables UD, AdjCov and WCoord). AdjCov required extensive linear interpolation. Unemployment benefit replacement rates from Van Vliet & Caminada (2012), downloaded 24 May 2012 from www.law.leidenuniv.nl/org/fisceco/economie/hervormingsz/datasetreplacementrates.html. The ‘Net Unemployment Replacement Rate for an Average Production Worker’ was averaged across single persons and one earner couples with two children. Some one year gaps were filled with linear interpolation. Average years of education and share with some tertiary education for the population aged 25-64 (both sexes) calculated from the Barro and Lee (2010) dataset, downloaded 6 February 2012 from www.barrolee.com/data/dataexp.htm. The alternative IIASA data for the latter variable (ages 20-64) downloaded 28 May 2013 from http://www.iiasa.ac.at/Research/POP/Edu07FP/proportion%20by%20education%20age%20sex %201970_2050%2015Mar2010.zip. Linear interpolation was used to generate annual series from the quinquennial data. Output gap, downloaded 9 October 2012 from stats.oecd.org/ (OECD Economic Projections: OECD Economic Outlook: OECD Economic Outlook No. 81 to 90: Economic Outlook No 90: December 2011). Top 1% income shares, downloaded 9 October 2012 from the World Top Incomes Database g-mond.parisschoolofeconomics.eu/topincomes/. Data for Finland and the UK were spliced to match the ‘tax data’ and ‘adults’ definitions using the ratio where they overlapped/met. Where ‘Top 1% income composition-Wages, salaries and pensions’ is not available, the composition from another similar country is used to calculate share99_A: the US for the UK, 25 Australia for New Zealand, and an average of France, Italy and the Netherlands for Denmark, Finland, and Sweden. Descriptive statistics are given in Table A.1. They include some observations generated by linear interpolation, as described above. Some variables have been multipled or divided by 100 for consistency, or to give handier regression coefficients. For the explanatory variables (all variables other than the decile ratios and wage share), only those observations actually used in the regressions are included. TABLE A.1 DESCRIPTIVE STATISTICS Variable 9/1 earnings decile ratio (all persons) 9/1 earnings decile ratio (men) Wage share (OECD total economy) Wage share (AMECO @ market prices) Wage share (AMECO @ factor cost) Bottom 99% wage share A Bottom 99% wage share B Trade share Real exchange rate Foreign assets & liabilities/GDP Total factor productivity Multi-factor productivity Capital-output ratio Union bargaining coverage Coordination of wage bargaining Unemployment benefit replacement rate Union density Average years of education Some tertiary (Barro & Lee) Some tertiary (IIASA) Output gap Observations 382 363 419 393 393 374 374 337 337 325 337 265 337 337 337 337 337 337 337 337 337 26 Mean 3.02 3.01 69.0 61.1 68.6 63.6 62.6 45.4 1.03 1.98 86.7 115.1 2.79 0.64 2.92 0.59 0.40 10.41 0.24 0.21 -0.20 Std. dev. 0.73 0.70 8.0 5.8 5.8 7.8 7.1 24.1 0.16 1.64 11.0 12.5 0.31 0.28 1.45 0.16 0.24 1.68 0.13 0.07 2.14 Min. 1.88 1.95 45.8 44.1 50.1 39.8 41.0 10.4 0.64 0.21 57.8 96.5 2.19 0.13 1.00 0.09 0.08 5.83 0.06 0.07 -8.39 Max. 4.98 5.14 93.7 75.8 84.7 79.6 76.7 131.3 1.64 9.33 105.6 165.2 3.63 0.95 5.00 0.92 0.87 13.45 0.57 0.41 7.33 TABLES AND FIGURES TABLE 1 CORRELATIONS BETWEEN CHANGES IN WAGE INEQUALITY AND WAGE SHARES Change from: Wage share: OECD, total economy AMECO, market prices AMECO, factor cost 1981-2004 9/1 decile ratio: All persons Men 0.87*** 0.83*** (n=10) (n=8) 0.80*** 0.84** (n=9) (n=7) 0.87*** 0.88*** (n=9) (n=7) 1987-2007 9/1 decile ratio: All persons 0.69** (n=11) 0.58* (n=10) 0.50 (n=10) Notes Changes in 3-year centred moving averages. Number of observations (countries) in brackets below the Pearson correlation coefficient. ***/**/* indicate significance at 1/5/10% level. 27 Men 0.64** (n=10) 0.65* (n=9) 0.47 (n=9) TABLE 2 SUR: ALTERNATIVE MEASURES OF LABOUR MARKET INSTITUTIONS Dependent variable: ln(Trade share) (1) FE only d91 Share ln(TFP) Union coverage Union coverage.time (2) Coverage d91 Share -0.037 -9.08 (0.29) (3.86) -1.49 -22.0 (7.76) (6.19) 0.589 8.46 (5.53) (4.33) -0.023 -0.291 (8.67) (5.99) Coordination of wage bargaining (3) Coordination d91 Share 0.264 -4.33 (2.29) (2.12) -0.473 -9.18 (2.17) (2.33) 0.040 (3.40) -0.0025 (5.09) Coordination.time (4) Benefits d91 Share 0.254 -4.25 (2.11) (1.94) -1.12 -16.8 (5.75) (4.75) 0.305 (1.76) -0.030 (3.35) Unemployment benefit replacement rate Unemployment benefit.time -0.407 (5.56) -0.005 (0.84) -3.83 (2.89) -0.006 (0.06) Union density Union density.time Average years of education ln(K/Y) Output gap 2007 year FE 0.36 -8.4 (5.06) (8.32) 0.48 (p=0.00) 0 0 -0.189 -1.66 (11.0) (5.21) -1.56 -26.3 (9.42) (8.63) 0.004 -0.285 (1.18) (4.29) 1.56 13.1 (10.3) (4.67) 0.02 (p=0.72) 0.82 0.65 (5) Density d91 Share 0.16 -6.98 (1.35) (3.26) -0.830 -15.1 (3.89) (4.01) -0.228 -2.01 (7.65) (15.3) -0.468 -12.7 (3.05) (4.58) 0.011 -0.207 (2.87) (3.12) 0.93 3.73 (8.30) (1.85) 0.11 (p=0.05) 0.68 0.56 -0.208 -1.79 (12.1) (5.72) -0.697 -15.3 (4.82) (5.82) 0.013 -0.174 (3.62) (2.61) 0.80 3.11 (6.55) (1.41) 0.11 (p=0.04) 0.72 0.53 0.643 12.9 (3.84) (4.37) -0.015 -0.190 (4.35) (3.24) -0.251 -2.50 (16.3) (9.19) -0.918 -18.8 (6.10) (7.08) 0.010 -0.194 (2.54) (2.84) 1.17 9.4 (8.48) (3.90) 0.10 (p=0.06) 0.71 0.52 Residual correlation Changes, ‘R2’ Notes All regressions on 337 observations from 11 countries (excluding Korea) spanning 1975-2009, and include country and year FE. Z-statistics for regression coefficients in brackets. ***/**/* markers of significance omitted due to implausibility of coefficients (see text). 1980 base year for FE and time interactions. Changes for ‘R2’ measured from 1981-2004 (3-year centred moving averages). ‘R2’ defined in equation (1). 28 TABLE 3 SUR: ALTERNATIVE MEASURES OF GLOBALISATION, EDUCATION AND TECHNOLOGY (1) Real exchange rate d91 Share (2) Financial globalisation d91 Share ln(Trade share) ln(Real exchange rate) ln(Foreign Assets + Liabilities / GDP) ln(TFP) 0.040 (0.74) -1.50 (8.00) (3) Some tertiary (Barro & Lee) d91 Share 0.19 -6.73 (1.35) (2.77) (4) Some tertiary (IIASA) d91 Share 0.255 -8.16 (2.07) (3.31) -1.51 (7.06) -0.559 (2.71) (5) FE only d91 Share (6) TFP (AMECO) d91 -0.229 (1.84) Share -5.32 (1.95) -1.60 (6.55) -29.7 (5.54) Union coverage.time Average years of education Some tertiary (Barro & Lee) Some tertiary (IIASA) ln(K/Y) Output gap 2007 year FE 0.567 (6.28) -0.022 (8.60) -0.189 (11.0) d91 -0.18 (1.50) Share -4.65 (1.72) -1.27 (8.68) 0.626 (6.50) -0.015 (5.27) -0.196 (12.2) -20.8 (6.28) 5.36 (2.45) -0.20 (3.11) -1.69 (4.64) 6.24 (6.56) -21.5 (6.46) 0.131 (3.28) -1.73 (8.75) -4.91 (6.88) -9.95 (2.80) -21.6 (5.90) -22.3 (5.38) ln(MFP) Union coverage (7) MFP (OECD) 3.57 (2.22) -0.172 (3.75) -1.61 (5.27) -1.56 -24.7 (10.2) (9.09) 0.004 -0.290 (1.15) (4.56) 1.53 4.5 (17.2) (2.86) 0.01 (p=0.87) 0.82 0.54 0.538 (5.84) -0.026 (8.83) -0.180 (10.2) 5.27 (3.20) -0.092 (1.74) -1.79 (5.67) -1.70 -14.4 (10.7) (5.07) 0.004 -0.206 (1.18) (3.17) 1.39 9.4 (14.3) (5.40) 0.10 (p=0.06) 0.80 0.73 0.787 (5.83) -0.046 (12.9) 11.1 (4.81) -0.525 (8.54) -1.95 (6.56) -20.6 (4.07) -2.23 -32.1 (13.4) (11.3) -0.006 -0.380 (1.53) (5.69) 1.67 14.6 (9.63) (4.94) 0.09 (p=0.10) 0.77 0.73 -0.087 (0.55) -0.030 (12.3) 5.11 (2.49) -0.362 (7.48) -5.25 -10.9 (12.8) (1.33) -0.876 -29.8 (4.82) (8.19) -0.003 -0.348 (0.87) (5.14) 1.46 11.3 (10.1) (3.91) 0.14 (p=0.01) 0.91 0.67 0.692 (6.57) -0.013 (4.27) -0.221 (13.5) 0.31 -5.2 (5.68) (6.00) 0.31 (p=0.00) 0 0 6.93 (3.01) -0.174 (2.68) -2.07 (5.79) -1.52 -22.0 (7.70) (5.07) 0.003 -0.236 (0.95) (3.26) 1.41 12.5 (4.62) (11,4) -0.17 (p=0.01) 0.89 0.44 -1.05 -12.2 (7.84) (3.99) 0.003 -0.227 (1.07) (3.19) 1.28 9.5 (12.1) (3.96) -0.24 (p=0.00) 0.92 0.58 Residual correlation Changes, ‘R2’ Notes As for Table 2, except column 2 is on 325 observations (1975-2007), and columns 4-6 are on 265 observations (1984-2009), use 1984 as the base year, and measure changes from 1987-2007. 29 TABLE 4 SUR: PARSIMONIOUS SPECIFICATIONS (1) Dependent variable: ln(Trade share) ln(TFP) Union coverage Average years of education ln(K/Y) Output gap 2007 year FE Residual correlation Changes, ‘R2’ Notes As for Table 2. d91 0.432 (3.16) (2) Share -2.6 (1.04) -15.6 (4.12) -5.54 (3.97) d91 0.498 (3.74) -0.120 (1.29) -0.224 (11.9) -0.16 -20.6 (2.57) (7.66) 0.011 -0.238 (2.79) (3.32) 0.45 -2.7 (3.56) (1.09) 0.13 (p=0.02) 0.64 0.42 (3) Share -7.31 (3.26) -20.7 (5.58) d91 0.484 (3.65) Share -1.92 (0.78) 0.6 (0.19) -0.07 (0.80)) -0.245 (13.7) -0.07 (0.82) -0.23 (13.0) -24.2 (9.44) 0.015 -0.219 (4.06) (3.00) 0.46 2.6 (3.62) (1.17)) 0.09 (p=0.10) 0.64 0.34 0.015 -0.03 (4.16) (0.42) 0.43 -7.1 (3.46) (3.20) 0.19 (p=0.00) 0.65 -0.03 TABLE 5 CORRELATIONS BETWEEN CHANGES IN WAGE INEQUALITY AND BOTTOM 99% WAGE SHARES Change from: Wage share: OECD total economy Bottom 99%, measure A Bottom 99%, measure B 1981-2004 9/1 decile ratio: All persons Men 0.86*** 0.86*** (n=8) (n=7) 0.75** 0.78** (n=8) (n=7) 0.67* 0.72* (n=8) (n=7) Notes As for Table 1. Measures A and B defined in equation (2). 1 1987-2007 9/1 decile ratio: All persons Men 0.69*** 0.79** (n=10) (n=9) 0.67** 0.74** (n=10) (n=9) 0.59* 0.66** (n=10) (n=9) TABLE 6 SUR: BOTTOM 99% WAGE SHARES Dependent variable: ln(Trade share) d91 (1) FE only Share99 ln(TFP) Union coverage Union coverage.time Average years of education ln(K/Y) Output gap 2007 year FE 0.36 -10.5 (4.99) (10.7) 0.33 (p=0.00) 0 0 (2) Coverage d91 Share99 -0.035 -15.6 (0.27) (6.50) -1.47 -23.7 (7.48) (6.44) 0.575 9.37 (5.34) (4.64) -0.023 -0.179 (8.63) (3.57) -0.187 -1.74 (10.6) (5.28) -1.54 -24.2 (9.24) (7.72) 0.0042 -0.246 (1.14) (3.59) 1.6 14.9 (10.1) (5.15) -0.06 (p=0.29) 0.82 0.60 Residual correlation Changes, ‘R2’ Notes As for Table 2, except all regressions on 331 observations. ‘Share99’ is the bottom 99% wage share, measure A. 2 Australia Denmark Finland France Italy Japan Korea NZ Netherlands Sweden UK US 5.0 4.0 3.0 9/1 decile ratio 2.0 5.0 4.0 3.0 2.0 5.0 4.0 3.0 2.0 1975 1985 1995 2005 1975 1985 1995 2005 All persons 1975 1985 1995 2005 Men FIGURE 1. Wage inequality, 1975-2009. 3 1975 1985 1995 2005 Australia Denmark Finland France Italy Japan Korea NZ Netherlands Sweden UK US 100 80 60 Wage share (% of GDP) 40 100 80 60 40 100 80 60 40 1975 1985 1995 OECD 2005 1975 1985 1995 2005 1975 1985 1995 AMECO market prices FIGURE 2. Wage shares, 1975-2009. 4 2005 1975 1985 1995 2005 AMECO factor cost 0 Change in wage share (% points) UK US Denmark -5 Netherlands Sweden Finland Australia -10 Japan France -15 Korea -.5 0 .5 Change in 9/1 decile ratio FIGURE 3. Changes in wage inequality and wage shares, 1981-2004. Note. Changes are in 3-year centred moving averages. 5 1 Australia Denmark Finland France Italy Japan NZ Netherlands 80 70 60 50 Wage share (% of GDP) 40 80 70 60 50 40 1975 Sweden UK 1985 1995 2005 US 80 70 60 50 40 1975 1985 1995 2005 OECD 1975 1985 1995 2005 1975 1985 Bottom 99% Measure A 1995 2005 Bottom 99% Measure B FIGURE 4. Bottom 99% wage shares, 1975-2008. 6 Change in wage share (% points) 0 Total Bottom 99% Denmark UK -5 US Sweden -10 Australia Finland France Japan -15 -.5 0 .5 Change in 9/1 decile ratio FIGURE 5. Changes in wage inequality and bottom 99% wage shares, 1981-2004. Note: Changes are in 3-year centred moving averages. 7 1
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