This section calculates the net contributions to public finances made over the course of a lifetime. In other words, we calculate how much an individual from a specific population group can be expected to contribute to public funds on average in each year of that person’s life spent in Denmark. By studying the fiscal impact in this way, we control for the different sizes of the population groups, and for the fact that the net annual contribution varies over the course of a lifetime.
The calculation is based on people born in 2013, henceforth referred to as ‘the 2013 cohort’. Tracking a cohort and calculating its average net contributions over the course of a lifetime has the advantage that the calculation does not depend on the age composition and size of the population at a given point in time. This facilitates comparison across population groups.
Below, we first construct the 2013 cohort. Then, we assign age-dependent public revenues and expenditures to each population group, and finally, by taking into account the number of years of residence in Denmark, the average present-value net contribution can be computed for each population group. The contribution is measured in Euro per person-year; one person living in Denmark for 10 years thus counts as 10 person-years.
The 2013 cohort
Figure 1 depicts a projection of the population belonging to the 2013 cohort. The bold line shows the total number of people in the cohort. The black line indicates the number of natives, while the grey and dotted lines show the numbers of first-generation and second-generation immigrants from non-Western countries, respectively. Western immigrants and second-generation immigrants are included in the total number but are not shown separately in the figure.
At age zero, the cohort consists of approximately 60,000 people, of whom the majority (53,000) are natives. The cohort includes nearly 6000 second-generation immigrants, primarily of non-Western origin. The total number of cohort members will rise between the ages of 20 and 30, reaching a high point of almost 70,000. This is due to net immigration of those who were born abroad in the year of 2013. Of the 10,000 immigrants, around half will stem from non-Western countries; however, the proportion of non-Western immigrants will increase to around 65% as the cohort ages, because it is expected that a large proportion of the Western immigrants will leave the country again.
Total contributions to public finances by population groups
In order to calculate the net contribution of a specific population group, public sector revenues and expenditures are distributed between the various population groups as discussed previously. In general terms, the income from taxable individuals comes from the adult population, while expenditures are spread across all age groups.
Figure 2 provides a more detailed picture of how the expenditures are distributed. Total projected expenditures over a lifetime for the 2013 cohort are broken down into expenditure types. The figure shows that for pre-school-age children, expenditures related to individual care make up the largest proportion of public spending. These expenditures primarily concern day care. From school age onwards—not surprisingly—costs regarding education dominate, right through until the age of 20, after which educational costs gradually decline. After this, the cost of transfer incomes gradually becomes more significant, and at the same time, individual health expenses begin to rise, though from a fairly low level. The cost of transfer incomes becomes the dominant expenditure item right through until the age of around 80, after which health expenditure gradually takes over as the major cost as the cohort becomes older and more in need of care. Total costs will peak around the age of 85, after which they decrease as the cohort dies out.
Total net contributions of the entire 2013 cohort are shown in Fig. 3. The net contributions are divided into public revenues and expenditure over the lifetime of an individual. The dotted line in Fig. 3 shows total expenses over a lifetime and, thus, corresponds to the sum of expenses at each age shown in Fig. 2. Over the course of a lifetime, total expenses of the 2013 cohort will remain at a relatively constant level of around EUR 1.3 billion per year (in 2013 values) until around age 50, where after the expenditures will begin to rise, as stated above, peaking at around age 85.
The grey line in Fig. 3 shows total public revenue, deriving in particular from taxes deducted at source (taxes on wages, transfer incomes and pensions) and from indirect taxes. Individuals under the age of 17 are assumed not to receive taxable income, hence not contributing to the public sector revenue. From the age of 17 and onwards, personal income is generated, and thus, transfers from households to the public sector will occur. Tax revenues from the 2013 cohort will rise rapidly over the period up until around age 45, when employment and consequently incomes will peak. After this, public revenue declines gradually as retirement age approaches. The increase in public revenue predicted at around age 80 is due to taxes on old-age pension payments.
The black line shows the overall net contribution and, thus, represents the difference between public sector revenue and expenditure. Since there is no public revenue before the age of 17, net contributions track public expenditure up until this point. From then onwards, tax revenue, and thus net contributions, rise—and from age 20 onwards, the net contribution will be positive. The increasing revenues and subsequently increasing net contributions will peak at around age 45 and thereafter will begin to fall, as a consequence of declining tax revenues and because expenditures increase as individuals grow older. The net contribution will become negative once more at around the age of 75.
As described in Section 2, revenues and expenditures can be assigned to the various population groups. The result of this procedure is shown in Fig. 4, which depicts the net contributions of natives, non-Western immigrants and second-generation immigrants. The total age-dependent net contribution of natives belonging to the 2013 cohort is indicated by a black line, which corresponds very closely to the total net contributions shown in Fig. 3. This is hardly surprising given that natives constitute the majority of the population, as indicated in Fig. 1.
The non-Western first-generation and second-generation immigrants constitute small population groups; their total net contributions (which are also on a much smaller scale) can be read using the right-hand scale in the figure. It should be noted that it is only between the ages 20 and 50 that first-generation immigrants are projected to make a positive net contribution to public finances, while the contributions from natives and second-generation non-Western immigrants are expected to be positive between the ages of 20 and 75. In particular, this is the outcome of the fact that non-Western immigrants are expected to have significantly lower rates of employment and earnings, resulting in lower tax revenues and higher transfer incomes compared to the other population groups.
Calculating the present value of net contributions by origin
From the total net contributions of the 2013 cohort, the average net contributions per person-year can be calculated for each population group. This measures the extent to which an average individual from the group in question will contribute (positively or negatively) to the public finances in each year during his or her lifetime in Denmark. In practice, this calculation is made by discounting backwards the annual net contributions of the 2013 cohort to the year 2013,Footnote 16 and then dividing the amount by the number of person-years.
The number of person-years is calculated as the sum of lifetime years of the members of the 2013 cohort. By the age of 80, a native who has lived his or her entire life in Denmark is thus counted as contributing 80 person-years, whereas an 80-year-old immigrant who arrived in Denmark at the age of 20 only contributes 60 person-years to the total number of person-years of the cohort. The predicted total number of person-years of the entire 2013 cohort is 5,857,711. Since the present value of the total net contributions of the 2013 cohort is calculated as being EUR −3.7 billion, the average net contribution per person-year is EUR −637 for each cohort member. In other words, a member of the 2013 cohort will on average benefit to the tune of EUR 637 per year from public funds throughout his or her lifetime while residing in Denmark.
As mentioned in the introduction, the annual deficit on Denmark’s primary budget balance is ‘only’ EUR 0.09 billion per year. The reason that the negative contribution of the 2013 cohort is not expected to give rise to great concern is that a sustainable fiscal policy does not require that total revenues should cover all spending for all future generations. This in turn is due to that fact that at the time the members of the 2013 cohort were born, there was an existing population, who had already had many of their expenses paid for—day care, schooling, etc.—and who can therefore be expected to constitute a net surplus for the public purse in the future.
Table 5 shows the net contributions per person-year, distributed by origin. As mentioned previously, the average person in the 2013 cohort will benefit from public spending, with net contributions of EUR −637 per year. The natives generate a net surplus of EUR −695, which is about 50% of the amount generated by second-generation non-Western immigrants at EUR −1070. Only for immigrants of Western origin the figures are positive, at EUR 2546 and EUR 47 for first-generation and second-generation immigrants, respectively, compared to EUR −2238 and EUR −1070 for first and second non-Western immigrants.Footnote 17 The contribution is higher for first-generation than for second-generation Western immigrants partly because many first-generation immigrants arrive after school age, and consequently, their day care and their schooling are not paid for by the Danish Exchequer. To a large extent, non-Western immigrants will also have spent their school years outside Denmark. However, their relationship to the labour market is expected to be much weaker than that of the other population groups, resulting in a large net negative contribution, even though they arrive late on average and do have a relatively high propensity to re-emigrate. The first-generation immigrants from Western countries have the highest propensity to re-emigrate though, which results in a reduction in expenses related to old age and thus contributes significantly to their sizable net contribution.
Table 5 Average net contributions per person-year of the 2013 cohort, in 2013 values (EUR)
The net contribution of natives is also in between the contribution of the two second-generation population groups, but these three groups are much more alike as expected, because they are all born in Denmark. They draw on public services about the same, but the second-generation non-Western group does not perform as well as natives on the labour market, they are poorly educated compared to natives, and although the educational gap is diminishing (mainly due to the women), they continue to lag behind. The second-generation Western immigrants perform almost as well as the natives on the labour market; their employment rate is lower but they are better educated and earn more. It is also an important contributing factor that some second-generation Western immigrants spend years during childhood and adolescence abroad. This is also the case for second-generation non-Western immigrants, but to a lesser extent.
Many young (Western) migrants are in Denmark to study just as Danes are going abroad to study saving the Danish taxpayers money. Viewing this as a kind of an exchange, one could argue that the number of Danes studying abroad should be subtracted from the number of foreign students in Denmark and instead added to the number of natives. However, the Danish students studying in a non-Western country amounts to only 0.5% of the non-Western (first generation) immigrant population in Denmark, and thus, our result concerning the non-Western population would only be affected very marginally. With respect to Danes studying in a Western country, it is more of an issue. In fact, Danes studying in Western countries amount to 4% of the Western (first generation) immigrant population living in Denmark. Thus, the result for native and Western immigrants would be somehow affected, making Western immigrants an even better deal for Denmark by making the net deficit of natives even bigger relatively to Western immigrants.
The influence of refugees
When Denmark accepts refugees, it is primarily for humanitarian reasons and a desire to live up to its obligations under the relevant international conventions rather than an attempt to overcome a demographic challenge. When discussing whether future labour shortages can be resolved through immigration, it is therefore relevant to distinguish between refugees and other immigrants.
In general, refugees residing in Denmark exhibit a lower rate of labour force participation than other non-Western immigrants. This is partly due to the traumatic events experienced by some refugees, which result in temporary or permanent health damage. It is, to some extent, also due to the fact that refugees during the last couple of decades have come from the very poorest of the non-Western countries and therefore often have little education and work experience.
In order to calculate the average net contributions among non-refugees, an adjustment has been made whereby the labour market participation rate of refugees is adjusted to the typical historical level for non-Western immigrants who are not refugees. The adjustment is illustrated in Fig. 5, where the age-dependent labour force participation rate is depicted for all non-Western immigrants in 2012. As shown, changing the refugee labour force participation rate leads to a significant rise in the participation rate of non-Western immigrants above the age of 30. For non-Western immigrants under the age of 30, the adjustment results in a fall in the participation rate, since a large fraction of non-Western immigrants in this age group are students; their participation rate is inferior to that of refugees. The overall change in non-Western labour market participation resulting from the change in refugee participation is implemented in the DREAM model. Consequently, the net contribution of the non-Western immigrants can be calculated from the adjusted long-term forecast. Overall, the adjustment for refugees results in a rise in the labour force participation rate and, subsequently, an improvement in the average net contribution of non-Western immigrants as shown in Table 6. The table shows that the average net contribution per person-year for non-Western immigrants in the 2013 cohort would rise from EUR −2238 to EUR −1738 if we control for refugees in the manner described above; that is, a 22% smaller deficit.Footnote 18 The contribution would remain significantly lower than that of natives (EUR −695) and especially than that of Western immigrants (EUR 2546).
Table 6 Average net contributions per person-year of the 2013 cohort, in 2013 values (EUR)
The calculation also illustrates that there is considerable potential for improvement through better integration, given that these—admittedly not trivial—changes regarding labour market participation generate a significant improvement in the net contribution if refugees had a participation rate similar to that of other non-Western immigrants. Such improvements are challenged by the fact that the lower participation rate of refugees compared to other non-Western immigrants reflects a variety of differences between the two groups. During the recent couple of decades, refugees have primarily arrived form very poor countries; they are less educated and have many more health issues compared to other non-Western immigrants.
Both the non-Western and the Western groups are very heterogeneous and their subgroups fare very differently on average. Although the best integrated non-Western immigrant group still has an employment rate significantly below the natives’ of 79% in 2014 (e.g. immigrants from Thailand with an employment rate of 62%), it is more than double the size of the employment rate of the poorest integrated group (e.g. immigrants from Somalia, with an employment rate of 28%). However, the DREAM macro-model framework cannot handle such heterogeneity, and therefore, we only consider the refugee, non-refugee issue here in addition to the Western, non-Western one.