Beregninger til Arbejdsmarkedsrapport 2013.
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1 Beregninger til Arbejdsmarkedsrapport Changing Employment with a constant Budget. October 2013 Indledning The following three experiments are performed. All of them aim to increase effective full time employment by ten thousand workers. This quantity is the product of four factors: population size, labor force participation rates, individual labor supply quantities (they are age dependent among other factors), and regulatory standard full employment working hours. The first experiment moves people out of cash assistance (Kontant Hjælp) and into full time employment. This is an exogenous shift of population across subgroups and increases the total labor force. This increase in the labor force is almost entirely absorbed by employment. The second experiment moves people out of unemployment (Dagpenge) and into full time employment. Here the labor force is unchanged and unemployment falls as employment increases. The third experiment increases working hours for all employed population. This calibrates the number of hours per day a full time employed worker is expected to work. The labor force remains unchanged. Employment rises marginally. 1 This last experiment has one particular characteristic. Unlike the other two experiments it freezes wage indexation at the baseline level as changing hours affects wage indexation. Without this additional twist employment would fall marginally. The different experiments have different assumptions regarding the productivity of entrants into employment. New full time workers coming from cash assistance have a different productivity than those already employed, and different from new workers coming from unemployment. This difference in productivity is assumed to be permanent. All three experiments have the following in common: they all target the same increase in the number of final effective employment, they all keep the primary government budget fixed at the baseline scenario, they all compensate for a fixed baseline budget with an increase in the effective earned income tax credit rate (Beskæftigelsesfradrag), and they all phase in linearly the changes from an initial period in 2014 up to a final state six years later in Because of the existence of small variations in the impact on the labor force across time and across experiments, we set all experiments such that the average labor force impact over the last 100 years of the sample yields exactly In all cases wages are responsible for the bulk of the adjustment in order for the market to clear. There is some endogenous variation in the number of employed and unemployed people, but it is of small magnitude.
2 Side 2 af 13 Makroøkonomisk virkning 2 In what follows we detail differences between the experiment scenarios and the baseline scenario. Details of the baseline run can be obtained in a related report. 3 All three experiments have similar qualitative macroeconomic impact. Output and consumption increase, and, since we hold the government s primary budget fixed at the baseline path, government debt as a fraction of GDP falls. These effects amount to an increase of around 0.2% of GDP in the strongest of cases which is that of increasing hours worked. Investment also shows a predictable effect. The percentage increase in investment is greater in the medium than in the long run since the initial increase in the labor force raises the marginal product of capital which triggers investment. As the level of capital increases the marginal product falls and the incentive to continue investing falls too, approaching a slightly higher long run value that accommodates depreciation on a higher capital stock. The following graphs show percentage changes 4 relative to the baseline for all four variables: Regarding the external balance, the current account and net foreign asset position deteriorate. Given that income increases imports increase, but given that wages fall (see below) exports become slightly more competitive and increase also. The net effect is therefore moderate. Around 2050 this amounts to around one percent deterioration in the current account and two percent deterioration in the net foreign asset position. At that point in 2 The appendix contains tables with further detail on both macroeconomic and public finance variables. 3 Beregninger til Arbejdsmarkedsrapport Balanceregel for den offentlige saldo x(counterfactual/baseline-one)
3 Side 3 af 13 time the projected baseline net foreign asset position is negative at around 30 percent of GDP. The following graphs show absolute differences (counterfactual minus baseline) in Net Foreign Assets and in the Current Account: 5 In terms of the labor market, we increase effective labor supply in all experiments. The right hand side figure below shows percentage changes in wages relative to the baseline. Wages fall initially and then stabilize as capital accumulates. Since the increase in the labor supply is small in aggregate terms, the effect on the endogenous unemployment rate is also small. However, we can count the change in the number of unemployed people relative to the baseline. As shown in the graph below in counterfactual 1 (moving people out of cash assistance) the long run number of unemployed people falls by around 200, while in counterfactual 3 (increasing hours worked) this number falls by around Absolute differences change sign, so they are easier to interpret than percentage changes. 6 In counterfactual 2 we target directly the number of unemployed which falls by around This is not visible in the figure because the magnitudes are too different relative to counterfactuals 1 and 3. In counterfactual 3, if we do not freeze wage indexation unemployment increases by around 80 workers.
4 Side 4 af 13 Finally, in terms of the tax adjustment made to keep the primary budget constant while the labor force is increased, we show the changes in the effective income tax credit rate, and the respective tax base and revenue. All three figures below report absolute differences between the counterfactual and the baseline. Tax credit rates are able to increase and apply to an increased tax base, so their total (negative) revenue increases as the increase in the labor force allows other taxes to endogenously finance the government budget. Main Differences across the three scenarios Since qualitatively there is little to separate the three experiments, it is interesting to examine their quantitative differences. They are largely due to the assumptions regarding the productivity of newcomers into the labor market. The first experiment moves people out of cash assistance (Kontant hjælp) and into full time employment. This is an increase in the labor force. It is assumed that these workers enter the labor force with a productivity of 60% of the ones already employed. This experiment has the smallest impact on output and other macroeconomic variables. Surprisingly, given the increase in the labor force and the decrease in wages, it induces a small decrease in the number of unemployed people (200 workers). The second experiment results in a reduction in the number of unemployed of about 9 thousand in 2020, and about 12 thousand in the very long run. Apart from this its impact is relatively close to experiment one. It is assumed that the unemployed who are moved into work do so with a productivity level of 0.72 times the productivity of previously employed
5 Side 5 af 13 workers. This assumption underlies the slightly higher increase in output relative to experiment one. The third experiment increases hours worked per person. It is the experiment with the largest impact on macroeconomic variables (except for unemployment). This is due to the fact that all workers that increase hours have a productivity factor of 1. It is worth adding that if in experiments 1 and 2 we had set the productivity factor equal to 1, we would have obtained stronger effects on output than those of experiment 3. The reason is that experiments 1 and 2 carry the additional benefit of eliminating expenditure on cash assistance and unemployment benefits which then are rebated via the increase in tax credit. The impact on unemployment in experiments 1 and 3 is small because the unemployment rate in DREAM is semi-endogenous. The labor market in DREAM works in the following way: there is a labor supply function derived from individual preferences which depends on the real wage, and a labor demand function from firms which depends also on the real wage, and finally there is a reduced form relationship between unemployment and real wages which includes a number of factors such as the replacement ratio. 7 This relationship is a simplification of theoretical structural relationships such as union bargaining models and search models, and determines the equilibrium unemployment rate. 8 The (small) endogenous variations in unemployment result from the fact that in all experiments the replacement ratio, which is the incentive into and out of employment, varies relative to the baseline. 9 The following figure shows the percentage difference in this variable relative to the baseline. In counterfactual 3 (increase in hours worked) this variable falls the least. 10 The right hand side picture shows percentage differences in average working hours relative to the baseline. Experiment 3 is omitted as there average working hours increase by a factor of about 0.003, which is an order of magnitude higher than in experiments 1 and 2 (it would appear in the graph as positive 0.3). 7 Note that the unemployment rate is always defined as one minus labor demand over labor supply. 8 In the second counterfactual experiment we change a level parameter in this relationship, thereby changing the equilibrium unemployment rate. 9 The replacement ratio variable contains a large number of endogenous and exogenous components. 10 If we do not freeze wage indexation this variable actually increases, generating a slight increase in the number of unemployed.
6 Side 6 af 13 Appendix: Tables Tabel 1.1 Effect on Main macro variables BNP Privat forbrug Offentligt forbrug Individuelt offentligt forbrug Kollektivt offentligt forbrug Netto eksport Eksport Import Investeringer Beskæftigelse, 1000 pers Private sektorer Offentlige sektor Arbejdsløshed, procent Offentlige budget overskud, pct. af BNP Offentlige primære budget overskud Offentlige netto rente udgifter Counterfactual 1 (moving people out of kontant hjælp) Kilde: Egne beregninger
7 Side 7 af 13 Tabel 2.1: Effects on public finances* Index, baseline = Offentlige indtægter Direkte skatter Kildeskatter Selskabsskatter Andre direkte skatter Indirekte skatter Moms Punktafgifter Ejendomsskatter Andre indirekte skatter Anden indkomst Offentlige udgifter Offentlige kollektive forbrug Offentligt individuelt forbrug Sundhedsudgifter Udgifter til uddannelse Socialomsorg Andet individuelt forbrug Offentlige indkomstoverførsle Folkepension Efterløn Førtidspension Dagpenge Kontanthjælp Barlselsdagpenge SU Andre indkomst overførsler Offentlige investeringer Andre udgifter Counterfactual 1 (moving people out of Kontant Hjælp) * Relative change, share of GDP, mark et prices, growth corrected. Kilde: Egne beregninger
8 Side 8 af 13 Tabel 1.2 Effect on Main macro variables BNP Privat forbrug Offentligt forbrug Individuelt offentligt forbrug Kollektivt offentligt forbrug Netto eksport Eksport Import Investeringer Beskæftigelse, 1000 pers Private sektorer Offentlige sektor Arbejdsløshed, procent Offentlige budget overskud, pct. af BNP Offentlige primære budget overskud Offentlige netto rente udgifter Counterfactual 2 (moving people out of Unemployment) Kilde: Egne beregninger
9 Side 9 af 13 Table 2.2: Effects on public finances* Index, baseline = Offentlige indtægter Direkte skatter Kildeskatter Selskabsskatter Andre direkte skatter Indirekte skatter Moms Punktafgifter Ejendomsskatter Andre indirekte skatter Anden indkomst Offentlige udgifter Offentlige kollektive forbrug Offentligt individuelt forbrug Sundhedsudgifter Udgifter til uddannelse Socialomsorg Andet individuelt forbrug Offentlige indkomstoverførsler Folkepension Efterløn Førtidspension Dagpenge Kontanthjælp Barlselsdagpenge SU Andre indkomst overførsler Offentlige investeringer Andre udgifter Counterfactual 2 (moving people out of Unemployment) * Relative change, share of GDP, mark et prices, growth corrected. Kilde: Egne beregninger
10 Side 10 af 13 Tabel 1.3 Effect on Main macro variables BNP Privat forbrug Offentligt forbrug Individuelt offentligt forbrug Kollektivt offentligt forbrug Netto eksport Eksport Import Investeringer Beskæftigelse Private sektorer Offentlige sektor Arbejdsløshed, procent Offentlige budget overskud, pct. af BNP Offentlige primære budget overskud Offentlige netto rente udgifter Counterfactual 3: Increasing Working Hours (keeping indexation fixed at the baseline path) Fixed prices, growth included. Kilde: Egne beregninger
11 Side 11 af 13 Table 2.3: Effects on public finances* Index, baseline = Offentlige indtægter Direkte skatter Kildeskatter Selskabsskatter Andre direkte skatter Indirekte skatter Moms Punktafgifter Ejendomsskatter Andre indirekte skatter Anden indkomst Offentlige udgifter Offentlige kollektive forbrug Offentligt individuelt forbrug Sundhedsudgifter Udgifter til uddannelse Socialomsorg Andet individuelt forbrug Offentlige indkomstoverførsler Folkepension Efterløn Førtidspension Dagpenge Kontanthjælp Barlselsdagpenge SU Andre indkomst overførsler Offentlige investeringer Andre udgifter Counterfactual 3: Increasing Working Hours (keeping indexation fixed at the baseline path) Relative change, share of GDP, mark et prices. Kilde: Egne beregninger
12 Side 12 af 13 Effective Earned Income tax credit Tabel 3 Tax Changes Direct Tax Rates (percent) per cent Baseline -1.12% -2.20% -2.23% -2.23% -2.23% Experiment % -2.53% -2.53% -2.53% -2.52% Experiment % -2.56% -2.55% -2.55% -2.54% Experiment % -2.20% -2.49% -2.48% -2.48% Kilde: Egne beregninger Additional Graphs
13 Side 13 af 13 Additional Graphs, DA experiment 3. November 20, 2013 This graph was produced in response to a subsequent question from the client. Here we show results for experiment 3 both when we fix wage indexation so that it is kept at the baseline path, and when we do not do it. This is the resulting replacement ratio percentage difference to the baseline. The curve with frozen indexation is labelled count3.2 and compares with the one with indexation effects labelled count3.1.
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