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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">aiae</journal-id>
<journal-title-group>
<journal-title>Anales del Instituto de Actuarios Españoles</journal-title>
<abbrev-journal-title abbrev-type="publisher">An. Inst. Actuar. Esp.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="ppub">0534-3232</issn>
<issn pub-type="epub">2531-2308</issn>
<publisher>
<publisher-name>Instituto de Actuarios Españoles</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.26360/2026_05</article-id>
<article-categories>
<subj-group subj-group-type="heading"><subject>Research article</subject></subj-group>
</article-categories>
<title-group>
<article-title>Occupational pension plans and individual retirement saving: complementary or substitute? Evidence from Spain</article-title>
<trans-title-group xml:lang="es"><trans-title>Planes de pensiones ocupacionales y ahorro individual para la jubilación: ¿complementarios o sustitutivos? Evidencia para España</trans-title></trans-title-group>
</title-group>
<contrib-group>
<contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5184-9106</contrib-id><name><surname>Claramunt Bielsa</surname><given-names>M. Mercè</given-names></name><xref ref-type="aff" rid="aff1"/><email>mmclaramunt@ub.edu</email></contrib>
<contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9214-4751</contrib-id><name><surname>Costa Cor</surname><given-names>Teresa</given-names></name><xref ref-type="aff" rid="aff1"/><email>tcosta@ub.edu</email></contrib>
<contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2246-3247</contrib-id><name><surname>Mármol Jiménez</surname><given-names>Maite</given-names></name><xref ref-type="aff" rid="aff1"/><xref ref-type="corresp" rid="cor1"/><email>mmarmol@ub.edu</email></contrib>
<contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3084-1957</contrib-id><name><surname>Varea Soler</surname><given-names>Xavier</given-names></name><xref ref-type="aff" rid="aff1"/><email>xvarea@ub.edu</email></contrib>
</contrib-group>
<aff id="aff1"><institution-wrap><institution content-type="orgname">Observatorio de los Sistemas Europeos de Previsión Social Complementaria. Departament de Matemàtica Econòmica, Financera i Actuarial, Universitat de Barcelona</institution></institution-wrap>, <addr-line content-type="city">Barcelona</addr-line>, <country country="ES">Spain</country></aff>
<author-notes><corresp id="cor1">Corresponding author: <email>mmarmol@ub.edu</email></corresp></author-notes>
<pub-date publication-format="electronic" date-type="pub"><year>2026</year></pub-date>
<volume>32</volume>
<fpage>83</fpage>
<lpage>105</lpage>
<history>
<date date-type="received"><day>10</day><month>04</month><year>2026</year></date>
<date date-type="accepted"><day>19</day><month>06</month><year>2026</year></date>
</history>
<permissions>
<copyright-year>2026</copyright-year>
<copyright-holder>Instituto de Actuarios Españoles</copyright-holder>
<license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by-nc-nd/4.0/">
<license-p>This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).</license-p>
</license>
</permissions>
<self-uri xlink:href="https://doi.org/10.26360/2026_05"/>
<abstract xml:lang="en"><p>The evolution of pension systems across Europe is influenced by the intricate dynamics among three pillars: public pensions, occupational pensions, and individual retirement savings. This paper examines the connection between the second and third pension pillars in Spain, utilising data from the Spanish Survey of Household Finances 2020. The study employs logit and cluster analysis to explore how the promotion of occupational pension schemes influences the uptake of individual private pension plans, with a particular focus on the reference person within households. Overall, the analysis emphasises the complementary nature of the individual and occupational pension pillars in Spain.</p></abstract>
<trans-abstract xml:lang="es"><p>La evolución de los sistemas de pensiones en Europa está condicionada por la compleja interacción entre tres pilares: las pensiones públicas, las pensiones ocupacionales y el ahorro individual para la jubilación. Este artículo analiza la relación entre el segundo y el tercer pilar del sistema de pensiones en España, utilizando datos de la Encuesta Financiera de las Familias de 2020. Para ello, se aplican modelos logit y técnicas de análisis cluster con el fin de examinar cómo la promoción de los planes de pensiones ocupacionales influye en la contratación de planes individuales privados, prestando especial atención a la persona de referencia del hogar. En conjunto, los resultados ponen de relieve el carácter complementario de los pilares ocupacional e individual en el contexto español.</p></trans-abstract>
<kwd-group xml:lang="en"><kwd>Spanish Survey of Household Finances</kwd><kwd>household savings</kwd><kwd>individual private pension plans</kwd><kwd>occupational pension plans</kwd><kwd>logit</kwd><kwd>cluster</kwd></kwd-group>
<kwd-group xml:lang="es"><kwd>Encuesta Financiera de las Familias</kwd><kwd>ahorro de los hogares</kwd><kwd>planes de pensiones privados individuales</kwd><kwd>planes de pensiones ocupacionales</kwd><kwd>modelo logit</kwd><kwd>clusters</kwd></kwd-group>
</article-meta>
</front>
<body>
<sec id="s1"><label>1</label>
  <title>INTRODUCTION</title>
  <p>Pension systems were developed in Europe from the second half of
  the 19th century and the beginning of the 20th century. In most
  Continental European countries, the so-called Bismarck model was
  adopted, conceived as a mandatory protection system financed through
  contributions from both the employee and the employer (Fenge &amp; Von
  Weizsäcker, 2010). In Northern Europe and the Anglo-Saxon countries,
  the so-called Beveridge model was developed, based on the universal
  recognition of a vital minimum financed from general budgets (Cigno,
  2008; Ebbinghaus, 2021).</p>
  <p>In 1977, the Institute of Social Security of the Catholic
  University of Louvain organised the &quot;September Colloquiums&quot;
  which concluded with the determination of what has become known as the
  &quot;Louvain Code.&quot; This code outlined the architecture of the
  European social security model, consisting of three pillars: the first
  pillar constituted by public social security, the second by
  supplementary social security for employment and the third by
  individual instruments. Implementation across European countries has
  not been uniform, with significant differences in both the replacement
  rate and the relevance of each of the three pillars (Montanari
  <italic>et al.</italic>, 2008).</p>
  <p>A significant challenge facing developed societies, particularly
  European ones, is the ageing of their populations, due to declining
  birth rates and a sustained increase in life expectancy. This
  demographic shift impacts pensions (Rey-Ares <italic>et al.</italic>,
  2018) and the labour market (Gurvich &amp; Ivanova, 2018).</p>
  <p>Given the foreseeable difficulty in financing public pensions,
  countries have actively pursued reform policies, at varying speeds and
  extents. This has primarily involved parametric reforms that make the
  existing pay-as-you-go system less generous and the establishment of a
  funded contribution system to complement or partially replaces the
  pay-as-you-go system, enhancing the replacement rate of future
  retirees (Arcanjo, 2019; Bonenkamp <italic>et al.</italic>, 2017;
  Börsch-Supan <italic>et al.</italic>, 2005)</p>
  <p>Spain is currently at a pivotal moment in the reform of its pension
  system, covering all three pillars. Legislative developments align
  with some recommendations of the latest report on the evaluation and
  reform of the Toledo Pact (Congreso de los Diputados, 2020). The
  reform of the second pillar, through the recently approved Law 12/2022
  regulating the promotion of occupational pension plans (Spain, 2022),
  aims to foster the development of supplementary social provision at
  company level. As the second pillar is voluntary, the success of this
  initiative depends on the success of the social dialogue and the
  transfer of its results to sectoral collective bargaining
  agreements.</p>
  <p>Amidst a consistent increase in overall public pension expenditure
  (Harper, 2014), and parametric reforms of the first pillar aiming to
  reduce the initial pension amount (for the Spanish case see
  Díaz-Saavedra, 2020), promoting occupational pension plans could serve
  as an alternative for families to save in the long term, supplementing
  Social Security public pension in retirement (Mussio &amp; Garabato,
  2009). The extended scope of this initiative may increase the
  population's awareness of retirement savings products. Since not all
  companies promote occupational pension schemes, many workers will not
  have the option of joining this second pillar instrument, instead they
  will have to rely on individual private pension plans as retirement
  savings alternatives. However, in contrast to other countries such as
  the Netherlands, Switzerland and the United Kingdom, individual
  private pension plans are underdeveloped in Spain (OECD, 2023).</p>
  <p>The debate on the complementary or substitutable nature of the
  second and third pillars is ongoing, both in the specialised
  literature (Higgins, 1985; Schoeplein, 1970) and at the social and
  political level. In Spain, the current reform, encouraging the
  promotion of occupational pension schemes and establishing a common
  legislation for occupational and individual pension schemes, may be
  detrimental to the development of the third pillar (Schoeplein, 1970).
  However, according to Gómez-García &amp; Villanueva (2022), this
  effect is positive, suggesting that the development of occupational
  pension schemes would also stimulate the development of individual
  pension schemes. Nevertheless, a comprehensive debate has emerged
  within the financial-insurance sector on this issue.</p>
  <p>This paper analyses, quantifies and determines the relationship
  between the second and third pillars using data from the Spanish
  Survey of Household Finances 2020 (Banco de España, 2022b). The
  primary objective is to examine whether the development of the second
  pillar influences the development of the third pillar. This analysis
  is conducted at both the household and individual levels, focusing on
  the reference person. Additionally, we explore whether the economic
  profile of households has any effect on this relationship between the
  second and third pillars, utilizing the employment status variable of
  the reference person and several household-related variables.</p>
  <p>One of the key findings of this paper underscores the importance of
  distinguishing the household member participating in the occupational
  pension plan when evaluating the impact of the second pillar on the
  third pillar through the reference person. If the reference person is
  the participant, the effect is negligible. However, if it is another
  household member, there is a 10.1% increase in the likelihood that the
  reference person possesses a third pillar instrument. In households
  with substantial real assets and anticipating lower future income
  (evidenced by high disposable income, low indebtedness, and the
  reference person nearing retirement), this percentage escalates to
  46%.</p>
  <p>When confronted with the question of whether the second and third
  pillars in Spain are complementary or substitutes, our study allows us
  to conclude that, at a global level, these two pillars complement each
  other. Policies aimed at promoting the development of the occupational
  pillar also have a positive influence on the number of contracts for
  instruments of the pillar focused on individual savings.</p>
  <p>This paper makes a valuable contribution to both the scientific and
  social debates. It delves deeply into the relationship between savings
  in third and second pillar instruments in the specific case of Spain,
  providing objective data for reflection on the application of measures
  for the development of supplementary social provision.</p>
  <p>This paper is organised as follows. In the next section, we review
  previously published papers dealing with the factors that influence
  household savings decisions, with special emphasis on those related to
  retirement. In the third section we define the sources of information
  and discuss the statistical methodology used (logit and cluster
  analysis). In the fourth section we establish three logit models,
  where the dependent variable is whether the reference person is a
  member of an individual private pension plan and/or has a voluntary
  retirement insurance, these are used to test the hypotheses. We divide
  the general population into 3 homogeneous clusters based on economic
  variables. Following that, we present the empirical results,
  distinguishing between those applied to the general population and
  those resulting in each of the clusters. Finally, the paper concludes
  with a discussion of the results and a summary of the main
  findings.</p>
</sec>
<sec id="s2"><label>2</label>
  <title>BACKGROUND AND HYPOTHESES</title>
  <p>Household savings decisions are influenced by two types of factors:
  those linked to the global economic situation (macroeconomic and
  political factors), and on the other hand, those arising from the
  household’s internal structure. The latter includes factors related to
  each of the members of the household (age, gender, marital status,
  education, occupational sector, employment status, among others) and
  factors considering the family unit as a whole (level of risk
  aversion, real income and assets, debts or the number of household
  members). Households' savings behaviour is determined by
  interpretation and prioritisation of these factors.</p>
  <p>Macroeconomic factors play an important role in household saving
  decisions. Saving is influenced by a complex interaction of
  macroeconomic variables, encompassing economic growth, inflation,
  consumer confidence, interest rates and wealth effects. The impact of
  economic growth on saving remains a debated topic, with studies
  suggesting higher household savings due to higher incomes,
  precautionary motives, and favorable interest rates, decrease in
  savings due to higher spending on public services or potential
  economic imbalances if savings are excessively high. For an in-depth
  discussion, refer to Staal (2023) or Aizenman <italic>et al.</italic>
  (2019). Inflation, influenced by its present value and future
  performance expectations, can alter household savings behaviour
  (Howard, 1978).</p>
  <p>Political factors can also significantly affect economic agents'
  decisions, directly impacting household saving behaviour through
  changes in taxation, social security (Bloom <italic>et al.</italic>,
  2007; Callen &amp; Thimann, 1997 or Niculescu-Aron &amp; Mihăescu,
  2012) , retirement benefits and savings incentives. Political
  stability and effective governance contribute to economic stability,
  influencing household savings. Political decisions, including those
  promoted by governments, can influence long-term targeted savings
  instruments, such as IRAs in the US (Holden &amp; Schrass, 2021),
  German Rürup-Rente or Riester-Rente (Metzger, 2017) or Spanish
  simplified employment plans. Changes in eligibility requirements,
  contribution limits or the structure of these programmes may influence
  the retirement saving behaviour of households.</p>
  <p>Even within the same macroeconomic scenario and policy context,
  household savings decisions vary due to future income expectations.
  The life-cycle model, initially emphasising preparing for old age, has
  been extended to include various saving motives, such as precautionary
  saving (Ando &amp; Modigliani, 1963; Carroll, 1997; Friedman, 1957 or
  Gourinchas &amp; Parker, 2002) housing-related motives (Hayashi
  <italic>et al.</italic>, 1988) and inheritance (Hurd, 1987).
  Life-cycle theory allows for the analysis of retirement savings
  decisions by providing a model in which individuals anticipate their
  financial needs over their lifetime, considering factors such as
  employment status, occupational sector, disposable income, assets
  fungibility (Fall <italic>et al.</italic>, 2001 or Han <italic>et
  al.</italic>, 2009), age, in particular, the time remaining until
  retirement (Kaplan <italic>et al.</italic>, 2014). Ekerdt (2009),
  revealing that the closer to retirement, the more motivated workers
  were to plan their pension savings. Life-cycle theory helps to explain
  how people plan for a stable standard of living throughout their lives
  and make informed savings, consumption and investment decisions.</p>
  <p>Retirement savings decisions are also influenced by family
  structure as defined by marital status, number of members (Tamborini
  &amp; Purcell, 2016), the gender of family members (Lee <italic>et
  al.</italic>, 2018) and level of education (van Rooij <italic>et
  al.</italic>, 2011), as well as other subjective factors such as
  perceived health status (Ricketts <italic>et al.</italic>, 2013) and
  the degree of risk aversion (Hariharan <italic>et al.</italic>, 2000;
  Hilgert <italic>et al.</italic>, 2003). Marital stability correlates
  with higher savings, while divorce and widowhood are associated with
  lower financial well-being (Szinovacz &amp; Deviney, 2000; Wilmoth
  &amp; Koso, 2002). Other studies have shown similarities and
  differences in retirement preparedness between men and women in their
  30s and 50s (Hassan &amp; Lawrence, 2007a, 2007b). Education is
  another key factor affecting the likelihood of having a savings plan
  and the ability to make informed financial decisions. According to
  Cupák <italic>et al.</italic> (2019) retirement savings in
  supplementary pension plans are positively associated with financial
  literacy after controlling for a set of relevant socio-economic
  variables. For Barth <italic>et al.</italic> (2020) financial literacy
  and education acquired in the workplace (pension plans developed at
  the company level), can positively impact retirement planning and
  saving behaviour. Research suggests that less risk-averse individuals
  tend to lean towards savings mechanisms with a high-risk component
  (Jacobs-Lawson &amp; Hershey, 2005), influencing retirement savings
  decisions (Sunden &amp; Surette, 1998).</p>
  <p>In the literature focusing on the Spanish case, Domínguez &amp;
  Turner (2022) analyse the evolution of supplementary pension systems
  in the period 1994 to 2019. Díaz-Giménez &amp; Díaz-Saavedra (2017)
  study the effects of two previous pension reforms. Antón <italic>et
  al.</italic>(2014) examines the impact of tax relief on retirement
  savings instruments, while Moreno-Herrero <italic>et
  al.</italic>(2017) explores the variables that influence the uptake of
  private pension plans.</p>
  <p>To the best of our knowledge, the relationship between savings in
  third pillar instruments and second pillar instruments has not
  undergone comprehensive scrutiny either in general or in the specific
  case of Spain, from both theoretical and empirical perspectives. Our
  research specifically investigates this relationship between the
  second and third pillars using EFF2020. We study the connection
  between the second and third pillars within Spanish households where
  the reference person is between 18 and 65 years of age.</p>
  <p>The study utilizes EFF2020 to create two databases: DB1, households
  with at least two members where the reference person and at least one
  other individual are between 18 and 65 years old, and DB2, households
  excluded from DB1 where the reference person is between 18 and 65
  years old. Two main research hypotheses guide our study:</p>
  <p>(H1) The development of the second pillar has an influence on the
  development of the third pillar, taking into account only the fact of
  having the product.</p>
  <p>(H2) Concerning the reference person, being a member of an
  occupational pension plan has an influence on being a member of an
  individual private pension plan and/or having a voluntary retirement
  insurance.</p>
  <p>To test these two hypotheses in the two databases, we propose three
  models, the fundamental characteristics of which are defined in the
  Table 2.</p>
  <p>In addition, we study whether the economic profile of households
  has any effect on the relationship between the second and third
  pillar, determining the validity hypotheses H1 and H2 on the economic
  profile group in which the test is conducted.</p>
</sec>
<sec id="s3"><label>3</label>
  <title>DATA SOURCE AND METHODOLOGY</title>
  <p>In this study, EFF2020 has been used as a source of data.</p>
  <sec id="s3_1"><label>3.1</label>
    <title>The Spanish Survey of Household Finances</title>
    <p>The EFF2020 is the primary source of our analysis, which contains
    financial information about Spanish families. For data processing,
    we have utilised Files dataimp1.xls, dataimp2.xls, dataimp3.xls,
    dataimp4.xls, and dataimp5.xls. These files handle missing data from
    the survey corresponding to unanswered questions or “I don’t know”
    responses. The multiple imputation technique was applied, resulting
    in the five datasets included in these files. In our statistical
    analyses, we opted to incorporate imputed values, allowing for the
    use of complete data methods.</p>
    <p>The variable <italic>fancine3</italic> includes the weights
    assigned to households in the sample. This variable aims to balance
    the probability of the selected household in the sample, considering
    oversampling and geographic stratification and addresses missing
    responses. The total number of households in the fourth quarter of
    2020 (18,821,645) can be estimated by summing the weights included
    in this variable. It is imperative to factor in these weights when
    deriving totals, means, and population participation from EFF2020
    data. Nonetheless, there is some controversy regarding the
    appropriate application of statistical weighting techniques, such as
    in regression or cluster analysis (Cameron &amp; Trivedi, 2005;
    Deaton, 1997).</p>
    <p>In our first database, DB1, we only include surveys from
    households with two or more members where the reference person and
    at least one other member are between 18 and 65 years old. In our
    second database, DB2, we exclude included in DB1, and then we
    selected households where only the reference person is between 18
    and 65 years of old.</p>
    <p>The number of surveys and households taking into account the
    facine3 weight in DB1 and DB2 are shown in Table
    <italic>1</italic>.</p>
    <p>.</p>
    <table-wrap id="t1"><label>Table 1</label><caption><p>Number of surveys and households</p></caption>
      <table>
        <colgroup>
          <col width="45%" />
          <col width="27%" />
          <col width="27%" />
        </colgroup>
        <thead>
          <tr>
            <th></th>
            <th colspan="2"><bold>Global</bold></th>
          </tr>
        </thead>
        <tbody>
          <tr>
            <td></td>
            <td><bold>DB1</bold></td>
            <td><bold>DB2</bold></td>
          </tr>
          <tr>
            <td>Number of surveys</td>
            <td>3,213</td>
            <td>1,025</td>
          </tr>
          <tr>
            <td>Number of households</td>
            <td>10,205,214</td>
            <td>3,674,103</td>
          </tr>
        </tbody>
      </table>
    </table-wrap>
    <p>Descriptive statistics of the databases used can be found in
    Table 8, Table 9 and Table 10.</p>
  </sec>
  <sec id="s3_2"><label>3.2</label>
    <title>Methodology</title>
    <p>This paper employs two statistical methodologies to achieve its
    objectives. First, logit analysis (Hosmer <italic>et al.</italic>,
    2013; Long, 1997) is applied to analyse the relationship between the
    dichotomous variable <italic>reference person is a member of an
    individual private pension plan and/or has a voluntary retirement
    insurance</italic> and a series of independent or explanatory
    variables, which change according to the model. Second, homogeneous
    groups based on economic variables are identified using k-means
    cluster analysis. This method involves partitioning the set of
    observations into clusters, where each observation is assigned to
    the cluster with the closest mean value (Hennig <italic>et
    al.</italic>, 2015). Given that the EFF2020 dataset comprises five
    imputed datasets, we have employed a modified methodology to address
    this circumstance, drawing inspiration from the work of Basagaña
    <italic>et al.</italic> (2013). The construction of these clusters
    utilised the R package miclust (Basagaña &amp; Barrera-Gómez, 2021),
    specifically employing the miclust function tailored for k-means
    cluster analysis on data with multiple imputations, as seen in the
    case of EFF2020. This function integrates optional procedures for
    selecting the number of clusters and assessing variable
    significance, while also presenting the uncertainty introduced by
    imputations in the results.</p>
  </sec>
</sec>
<sec id="s4"><label>4</label>
  <title>MODEL</title>
  <p>In order to test the first hypotheses, we propose 3 logit models
  whose basic characteristics are shown in Table 2.</p>
  <table-wrap id="t2"><label>Table 2</label><caption><p>Basic characteristics of the logit models</p></caption>
    <table>
      <colgroup>
        <col width="8%" />
        <col width="13%" />
        <col width="8%" />
        <col width="40%" />
        <col width="32%" />
      </colgroup>
      <thead>
        <tr>
          <th></th>
          <th></th>
          <th colspan="3"><bold>Logit model</bold></th>
        </tr>
      </thead>
      <tbody>
        <tr>
          <td><bold>DDBB</bold></td>
          <td><bold>Hypothesis</bold></td>
          <td><bold>Model</bold></td>
          <td><bold>Dependent variable</bold></td>
          <td><bold>Variables whose significance is used to test each
          hypothesis</bold></td>
        </tr>
        <tr>
          <td rowspan="2">DB1</td>
          <td>H1</td>
          <td>A</td>
          <td>Reference person is a member of an individual private
          pension plan and/or has a voluntary retirement insurance</td>
          <td>One or more household members are members of an
          occupational pension plan</td>
        </tr>
        <tr>
          <td>H2</td>
          <td>B</td>
          <td>Reference person is a member of an individual private
          pension plan and/or has a voluntary retirement insurance</td>
          <td>Reference person is a member of an occupational pension
          plan</td>
        </tr>
        <tr>
          <td>DB2</td>
          <td>H1=H2</td>
          <td>C</td>
          <td>Reference person is a member of an individual private
          pension plan and/or has a voluntary retirement insurance</td>
          <td>Reference person is a member of an occupational pension
          plan</td>
        </tr>
      </tbody>
    </table>
  </table-wrap>
  <p>In the three models, the dependent variable is that the reference
  person is a member of an individual private pension plan and/or has a
  voluntary retirement insurance (henceforth referred to as
  &quot;individual private pension plan&quot; or &quot;third pillar
  products&quot;). The independent variables are classified into three
  groups. The first group includes a series of dichotomous variables,
  one of which is essential for testing the desired hypothesis. The
  other two groups encompass control variables, which in principle are
  also expected to influence the dependent variable, related to either
  the reference person (second group) or the household (third group).
  Table 7 details the explanatory variables included in the three models
  and Table 8 to 10 present descriptive statistics.</p>
  <p>Table 4 illustrates the percentage of households with a reference
  person being a member of an individual private pension plan. The data
  reveals that 22.78% (20.83%) of households in DB1(DB2) possessed an
  individual private pension plan. This indicates that among the
  10,205,214 (3,674,103) households, only 2,325,270 (765,395) had at
  least an individual private pension plan or a voluntary retirement
  insurance.</p>
  <p>In DB1 and DB2, health and age exhibit similar effects, where
  better the health and increase age positively impacting the
  percentage. As expected, the percentage is zero for ages 18-24. The
  analysis of educational levels indicates that having an education
  level lower than high school negatively affects the percentage, as
  observed with singles and the unemployed. The occupational sector
  demonstrates significant discriminatory power, where the percentage of
  managers is three times higher than that of unskilled workers (skilled
  craftsmen and skilled workers in manufacturing, construction and
  mining) in DB1 (DB2). Gender also plays a discriminatory role, with
  26% of men having an individual private pension plan compared to 19%
  of women in DB1, while in DB2 the percentages are reversed (17% of men
  and 24% of women). Among the household-related variables, in DB1 and
  DB2, the only one that clearly has a discriminatory effect on the
  percentage of households whose reference person is a member of an
  individual private pension plan is risk aversion, where risk-averse
  households have a 10 point difference compared to risky households.
  The evolution of the household's future income significantly
  distinguishes between those expecting lower future incomes and those
  who do not, with the number of household members only having a
  discriminative effect in DB2 for households with four members or more
  due to their composition.</p>
  <p>The economic clusters are constructed based on per capita income of
  the household, ratio of expenditure to total household income, ratio
  of debt to income, ratio of debt payments to income, risk aversion,
  evolution of future household income, real assets of the household and
  employment situation of the reference person. The justification of the
  variables chosen for the construction of the clusters is based on
  previous works referred to in the literature review section (see for
  example Fall <italic>et al.</italic>, 2001; Han <italic>et
  al.</italic>, 2009; Hilgert <italic>et al.</italic>, 2003 or Staal,
  2023). We initially obtained four clusters, but one was discarded due
  to its small size (only three families). The analysis continues with
  three clusters. The number of surveys and the number of households
  they represent is detailed in Table 3. The two variables that actually
  determine the configuration of the clusters are real assets and
  evolution of future household
  income<xref ref-type="fn" rid="fn1">1</xref>. The importance of the
  latter variable is also shown in Table 12, where 99% of households in
  Cluster 1 expect lower future incomes, 99% of households in Cluster 2
  expect to maintain their income level, and the same percentage of
  households in Cluster 3 anticipate higher future income. Real assets
  are also important to the definition of the clusters, with mean (and
  median) values higher in Cluster 1 than in Cluster 2, and higher in
  Cluster 2 than in Cluster 3.</p>
  <p>Descriptive statistics for the rest of variables in each cluster
  can be found in Table 11, Table 12 and Table 13. Among these
  variables, age and the ratios of total expenditure, debt and debt
  payments to income indicate that households in Cluster 3 have much
  higher ratios to income compared to the other two clusters and also
  feature a younger reference person (only 18.72% are over 55 years old,
  in contrast to Clusters 1 and 2 with percentages of 43.47% and 36.29%
  respectively).</p>
<p>.</p>
<table-wrap id="t3"><label>Table 3</label><caption><p>Number of surveys and households.Source: own elaboration based on Banco de España (2022b).</p></caption>
    <table>
      <colgroup>
        <col width="18%" />
        <col width="15%" />
        <col width="11%" />
        <col width="13%" />
        <col width="13%" />
        <col width="2%" />
        <col width="11%" />
        <col width="2%" />
        <col width="16%" />
      </colgroup>
      <thead>
        <tr>
          <th></th>
          <th colspan="2"><bold>Cluster 1</bold></th>
          <th colspan="3"><bold>Cluster 2</bold></th>
          <th colspan="3"><bold>Cluster 3</bold></th>
        </tr>
      </thead>
      <tbody>
        <tr>
          <td></td>
          <td><bold>DB1</bold></td>
          <td><bold>DB2</bold></td>
          <td><bold>DB1</bold></td>
          <td colspan="2"><bold>DB2</bold></td>
          <td colspan="2"><bold>DB1</bold></td>
          <td><bold>DB2</bold></td>
        </tr>
        <tr>
          <td>Number of surveys</td>
          <td>457</td>
          <td>144</td>
          <td>1,653</td>
          <td>517</td>
          <td colspan="2">1,099</td>
          <td colspan="2">364</td>
        </tr>
        <tr>
          <td>Number of households</td>
          <td>1,249,307</td>
          <td>431,978</td>
          <td>4,964,143</td>
          <td>1,799,238</td>
          <td colspan="2">3,990,151</td>
          <td colspan="2">1,442,887</td>
        </tr>
      </tbody>
    </table>
  </table-wrap>
<p>The percentage of households whose reference person is a member of
  an individual private pension plan in the different clusters is
  included in Table 4. In general, it is observed that this percentage
  is lower in Cluster 3, for all variables and databases. This is
  reasonable given that the reference person of Cluster 3 households is
  younger and these households have less income and less disposable
  income.</p>
  <table-wrap id="t4"><label>Table 4</label><caption><p>Percentage of households whose reference person is a member of an individual private pension plan and/or has subscribed to a voluntary retirement insurance according to different variables. Source: own elaboration based on Banco de España (2022b). These percentages have been calculated taking into account the fancine weights.</p></caption>
    <table>
      <colgroup>
        <col width="36%" />
        <col width="8%" />
        <col width="8%" />
        <col width="8%" />
        <col width="8%" />
        <col width="8%" />
        <col width="8%" />
        <col width="8%" />
        <col width="8%" />
        <col width="0%" />
      </colgroup>
      <thead>
        <tr>
          <th></th>
          <th colspan="2"><bold>Global</bold></th>
          <th colspan="2"><bold>Cluster 1</bold></th>
          <th colspan="2"><bold>Cluster 2</bold></th>
          <th colspan="3"><bold>Cluster 3</bold></th>
        </tr>
      </thead>
      <tbody>
        <tr>
          <td></td>
          <td><bold>DB1</bold></td>
          <td><bold>DB2</bold></td>
          <td><bold>DB1</bold></td>
          <td><bold>DB2</bold></td>
          <td><bold>DB1</bold></td>
          <td><bold>DB2</bold></td>
          <td><bold>DB1</bold></td>
          <td><bold>DB2</bold></td>
          <td></td>
        </tr>
        <tr>
          <td>Total number of households</td>
          <td>22.78</td>
          <td>20.83</td>
          <td>25.83</td>
          <td>24.87</td>
          <td>26.00</td>
          <td>23.83</td>
          <td>17.84</td>
          <td>15.88</td>
          <td></td>
        </tr>
        <tr>
          <td colspan="9">Variables related to the reference person</td>
          <td></td>
        </tr>
        <tr>
          <td>Educational level (less than high school)</td>
          <td>18.09</td>
          <td>17.08</td>
          <td>17.18</td>
          <td>22.71</td>
          <td>19.53</td>
          <td>19.63</td>
          <td>16.62</td>
          <td>12.86</td>
          <td></td>
        </tr>
        <tr>
          <td>Educational level (high school)</td>
          <td>25.82</td>
          <td>27.63</td>
          <td>37.88</td>
          <td>32.63</td>
          <td>30.02</td>
          <td>31.36</td>
          <td>17.25</td>
          <td>21.33</td>
          <td></td>
        </tr>
        <tr>
          <td>Educational level (university)</td>
          <td>29.07</td>
          <td>23.02</td>
          <td>32.69</td>
          <td>25.46</td>
          <td>34.64</td>
          <td>24.81</td>
          <td>20.73</td>
          <td>18.94</td>
          <td></td>
        </tr>
        <tr>
          <td>Employment status (employed)</td>
          <td>24.58</td>
          <td>26.27</td>
          <td>27.71</td>
          <td>31.43</td>
          <td>28.24</td>
          <td>29.51</td>
          <td>18.85</td>
          <td>19.26</td>
          <td></td>
        </tr>
        <tr>
          <td>Employment status (self-employed)</td>
          <td>34.54</td>
          <td>26.15</td>
          <td>21.98</td>
          <td>18.35</td>
          <td>45.57</td>
          <td>38.86</td>
          <td>29.07</td>
          <td>20.78</td>
          <td></td>
        </tr>
        <tr>
          <td>Employment status (unemployed)</td>
          <td>9.51</td>
          <td>10.53</td>
          <td>18.11</td>
          <td>13.93</td>
          <td>7.04</td>
          <td>9.25</td>
          <td>9.88</td>
          <td>10.96</td>
          <td></td>
        </tr>
        <tr>
          <td>Employment status (retired)</td>
          <td>31.09</td>
          <td>19.24</td>
          <td>39.99</td>
          <td>24.19</td>
          <td>32.38</td>
          <td>20.21</td>
          <td>19.49</td>
          <td>14.50</td>
          <td></td>
        </tr>
        <tr>
          <td>Occupational sector (OS1)</td>
          <td>34.69</td>
          <td>26.97</td>
          <td>35.29</td>
          <td>21.03</td>
          <td>42.42</td>
          <td>37.07</td>
          <td>23.98</td>
          <td>21.56</td>
          <td></td>
        </tr>
        <tr>
          <td>Occupational sector (OS2)</td>
          <td>29.17</td>
          <td>20.24</td>
          <td>27.70</td>
          <td>29.30</td>
          <td>39.32</td>
          <td>16.38</td>
          <td>17.24</td>
          <td>23.01</td>
          <td></td>
        </tr>
        <tr>
          <td>Occupational sector (OS3)</td>
          <td>23.19</td>
          <td>21.00</td>
          <td>23.18</td>
          <td>25.10</td>
          <td>33.28</td>
          <td>20.61</td>
          <td>18.33</td>
          <td>16.76</td>
          <td></td>
        </tr>
        <tr>
          <td>Occupational sector (OS4)</td>
          <td>24.52</td>
          <td>20.99</td>
          <td>29.04</td>
          <td>15.34</td>
          <td>26.10</td>
          <td>25.68</td>
          <td>20.78</td>
          <td>14.48</td>
          <td></td>
        </tr>
        <tr>
          <td>Occupational sector (OS5)</td>
          <td>15.05</td>
          <td>21.82</td>
          <td>16.29</td>
          <td>59.68</td>
          <td>17.39</td>
          <td>26.96</td>
          <td>12.32</td>
          <td>11.19</td>
          <td></td>
        </tr>
        <tr>
          <td>Occupational sector (OS6)</td>
          <td>18.59</td>
          <td>17.46</td>
          <td>0</td>
          <td>23.09</td>
          <td>13.93</td>
          <td>20.99</td>
          <td>29.74</td>
          <td>10.79</td>
          <td></td>
        </tr>
        <tr>
          <td>Occupational sector (OS7)</td>
          <td>19.15</td>
          <td>9.02</td>
          <td>23.96</td>
          <td>0</td>
          <td>21.83</td>
          <td>8.29</td>
          <td>14.91</td>
          <td>12.34</td>
          <td></td>
        </tr>
        <tr>
          <td>Occupational sector (OS8)</td>
          <td>22.29</td>
          <td>23.88</td>
          <td>40.99</td>
          <td>38.19</td>
          <td>20.52</td>
          <td>16.44</td>
          <td>19.71</td>
          <td>34.18</td>
          <td></td>
        </tr>
        <tr>
          <td>Occupational sector (OS9)</td>
          <td>11.12</td>
          <td>19.95</td>
          <td>7.21</td>
          <td>22.82</td>
          <td>11.59</td>
          <td>27.18</td>
          <td>11.71</td>
          <td>11.65</td>
          <td></td>
        </tr>
        <tr>
          <td>Occupational sector (OS10)</td>
          <td>32.91</td>
          <td>15.30</td>
          <td>56.02</td>
          <td>-</td>
          <td>16.22</td>
          <td>16.30</td>
          <td>34.81</td>
          <td>14.07</td>
          <td></td>
        </tr>
        <tr>
          <td>Occupational sector (OS11)</td>
          <td>21.36</td>
          <td>9.43</td>
          <td>0</td>
          <td>0</td>
          <td>15.40</td>
          <td>9.52</td>
          <td>49.67</td>
          <td>100.00</td>
          <td></td>
        </tr>
        <tr>
          <td>18 ≤ Age &lt;25</td>
          <td>0</td>
          <td>0</td>
          <td>0</td>
          <td>0</td>
          <td>0</td>
          <td>0</td>
          <td>0</td>
          <td>0</td>
          <td></td>
        </tr>
        <tr>
          <td>25 ≤ Age &lt;35</td>
          <td>4.73</td>
          <td>6.78</td>
          <td>11.50</td>
          <td>0</td>
          <td>5.28</td>
          <td>0</td>
          <td>3.84</td>
          <td>12.48</td>
          <td></td>
        </tr>
        <tr>
          <td>35 ≤ Age &lt;45</td>
          <td>17.61</td>
          <td>9.56</td>
          <td>25.99</td>
          <td>4.06</td>
          <td>16.34</td>
          <td>11.04</td>
          <td>16.96</td>
          <td>8.94</td>
          <td></td>
        </tr>
        <tr>
          <td>45 ≤ Age &lt;55</td>
          <td>26.89</td>
          <td>25.67</td>
          <td>22.90</td>
          <td>21.71</td>
          <td>32.12</td>
          <td>31.49</td>
          <td>21.20</td>
          <td>21.19</td>
          <td></td>
        </tr>
        <tr>
          <td>55 ≤ Age ≤65</td>
          <td>29.78</td>
          <td>27.41</td>
          <td>29.86</td>
          <td>32.67</td>
          <td>31.00</td>
          <td>29.47</td>
          <td>26.80</td>
          <td>18.63</td>
          <td></td>
        </tr>
        <tr>
          <td>Gender (male)</td>
          <td>25.56</td>
          <td>17.49</td>
          <td>34.32</td>
          <td>17.36</td>
          <td>29.50</td>
          <td>20.38</td>
          <td>19.00</td>
          <td>14.00</td>
          <td></td>
        </tr>
        <tr>
          <td>Gender (female)</td>
          <td>19.36</td>
          <td>24.41</td>
          <td>16.56</td>
          <td>34.11</td>
          <td>22.24</td>
          <td>27.39</td>
          <td>16.05</td>
          <td>17.90</td>
          <td></td>
        </tr>
        <tr>
          <td>Health (good)</td>
          <td>24.56</td>
          <td>22.22</td>
          <td>27.02</td>
          <td>26.20</td>
          <td>29.65</td>
          <td>24.98</td>
          <td>17.98</td>
          <td>17.41</td>
          <td></td>
        </tr>
        <tr>
          <td>Health (acceptable)</td>
          <td>18.47</td>
          <td>18.76</td>
          <td>24.86</td>
          <td>27.61</td>
          <td>16.58</td>
          <td>21.88</td>
          <td>17.88</td>
          <td>12.93</td>
          <td></td>
        </tr>
        <tr>
          <td>Health (bad)</td>
          <td>8.60</td>
          <td>10.16</td>
          <td>15.34</td>
          <td>7.47</td>
          <td>6.08</td>
          <td>13.49</td>
          <td>11.37</td>
          <td>8.23</td>
          <td></td>
        </tr>
        <tr>
          <td>Marital status (single)</td>
          <td>10.85</td>
          <td>17.97</td>
          <td>19.36</td>
          <td>19.87</td>
          <td>13.57</td>
          <td>20.69</td>
          <td>7.64</td>
          <td>14.67</td>
          <td></td>
        </tr>
        <tr>
          <td>Marital status (married)</td>
          <td>25.42</td>
          <td>28.70</td>
          <td>27.93</td>
          <td>65.46</td>
          <td>28.04</td>
          <td>25.78</td>
          <td>20.88</td>
          <td>7.17</td>
          <td></td>
        </tr>
        <tr>
          <td>Marital status (divorced)</td>
          <td>26.45</td>
          <td>24.42</td>
          <td>22.71</td>
          <td>23.31</td>
          <td>30.17</td>
          <td>28.76</td>
          <td>23.08</td>
          <td>19.55</td>
          <td></td>
        </tr>
        <tr>
          <td>Marital status (widow/widower)</td>
          <td>23.54</td>
          <td>27.29</td>
          <td>9.84</td>
          <td>31.56</td>
          <td>28.54</td>
          <td>27.77</td>
          <td>21.17</td>
          <td>17.41</td>
          <td></td>
        </tr>
        <tr>
          <td colspan="9">Variables related to the household</td>
          <td></td>
        </tr>
        <tr>
          <td>Risk aversion (the household does not like to take
          risks)</td>
          <td>29.63</td>
          <td>28.02</td>
          <td>40.90</td>
          <td>41.80</td>
          <td>37.27</td>
          <td>29.02</td>
          <td>18.83</td>
          <td>23.30</td>
          <td></td>
        </tr>
        <tr>
          <td>Risk aversion (at-risk household)</td>
          <td>20.85</td>
          <td>19.03</td>
          <td>21.41</td>
          <td>21.45</td>
          <td>23.23</td>
          <td>22.48</td>
          <td>17.51</td>
          <td>14.00</td>
          <td></td>
        </tr>
        <tr>
          <td>Evolution of the household's future income (higher)</td>
          <td>18.01</td>
          <td>16.04</td>
          <td>27.07</td>
          <td>-</td>
          <td>24.92</td>
          <td>28.48</td>
          <td>17.99</td>
          <td>15.95</td>
          <td></td>
        </tr>
        <tr>
          <td>Evolution of the household's future income (equal)</td>
          <td>25.86</td>
          <td>23.79</td>
          <td>21.74</td>
          <td>-</td>
          <td>26.01</td>
          <td>23.84</td>
          <td>5.15</td>
          <td>8.69</td>
          <td></td>
        </tr>
        <tr>
          <td>Evolution of the household's future income (lower)</td>
          <td>25.55</td>
          <td>24.51</td>
          <td>25.84</td>
          <td>24.87</td>
          <td>0.11</td>
          <td>0</td>
          <td>7.94</td>
          <td>0</td>
          <td></td>
        </tr>
        <tr>
          <td>Number of household members (number=1)</td>
          <td>-</td>
          <td>20.89</td>
          <td>-</td>
          <td>24.81</td>
          <td>-</td>
          <td>23.64</td>
          <td>-</td>
          <td>16.19</td>
          <td></td>
        </tr>
        <tr>
          <td>Number of household members (number=2)</td>
          <td>21.19</td>
          <td>21.63</td>
          <td>27.43</td>
          <td>25.71</td>
          <td>26.56</td>
          <td>26.91</td>
          <td>12.80</td>
          <td>14.22</td>
          <td></td>
        </tr>
        <tr>
          <td>Number of household members (number=3)</td>
          <td>23.42</td>
          <td>21.18</td>
          <td>25.82</td>
          <td>27.20</td>
          <td>24.75</td>
          <td>20.41</td>
          <td>20.91</td>
          <td>20.45</td>
          <td></td>
        </tr>
        <tr>
          <td>Number of household members (number=4)</td>
          <td>24.71</td>
          <td>7.70</td>
          <td>25.29</td>
          <td>0</td>
          <td>28.73</td>
          <td>11.24</td>
          <td>19.19</td>
          <td>7.15</td>
          <td></td>
        </tr>
        <tr>
          <td>Number of household members (number≥5)</td>
          <td>19.76</td>
          <td>0</td>
          <td>21.21</td>
          <td>0</td>
          <td>20.19</td>
          <td>0</td>
          <td>18.94</td>
          <td>0</td>
          <td></td>
        </tr>
      </tbody>
    </table>
  </table-wrap>
</sec>
<sec id="s5"><label>5</label>
  <title>EMPIRICAL RESULTS</title>
  <p>In this section, we first present the main results of the three
  logit models defined in Table 2, followed by the results of the logit
  models applied to the different economic groups.</p>
  <sec id="s5_1"><label>5.1</label>
    <title>Global</title>
    <p>In Table 5, we present the odds
    ratio<xref ref-type="fn" rid="fn2">2</xref> and the significance
    levels of variables in models A, B and C.</p>
    <p>In Model A it is observed that the presence of an occupational
    pension plan for any household member, whether the reference person
    or any other member, does not influence whether the reference person
    has an individual private pension plan. This might suggest that the
    development of the second pillar does not impact the development of
    the third pillar. However, this would be misleading, if we consider
    separately whether the member of the occupational plan is the
    reference person or another household member (Model B) we see that
    the fact that it is a member other than the reference person who has
    the occupational plan actually increases the probability that the
    reference person has a third pillar instrument by 10.1%. The
    reference person having an occupational pension plan does not
    influence the likelihood of also having a third pillar product. This
    aligns with two key characteristics of pension plans in Spain.
    Firstly, occupational pension plans are the result of collective
    bargaining, meaning participation depends on the decision of third
    parties to set up the plan. Therefore, if the reference person does
    not work in a company with an occupational pension scheme, the only
    way for them to obtain supplementary social provision is through
    third pillar products. Secondly, Spanish legislation imposes a joint
    maximum limit for contributions to any type of pension
    plan<xref ref-type="fn" rid="fn3">3</xref> (excluding voluntary
    insurance, a minority product). If another household member has the
    occupational plan, the 10% increase in the probability that the
    reference person has an individual plan may be attributed to an
    enhancement of the household’s financial literacy induced by the
    occupational pension plan. Fornero &amp; Monticone (2011) found,
    with Italian data, that financial literacy has a positive impact on
    the probability of having a pension plan and Kalmi &amp; Ruuskanen
    (2018) also found a positive relationship between retirement
    planning and an extended measure of financial literacy.</p>
    <p>Model C is based on DB2 where only the reference person in the
    household can have an individual private pension plan echoes the
    results of Model A. In this scenario, the fact that the reference
    person has an occupational plan does not influence whether they also
    has a third pillar instrument.</p>
    <p>Having tested the hypotheses of the models, we now examine the
    significance of the variables related to the household and to the
    reference person included in the logit analysis, along with their
    impact on the dependent variable. In models A and B with practically
    identical results, we refer only to the percentage increase/decrease
    in the probability that the reference person has a third pillar
    instrument in Model A.</p>
    <p>Among the significant variables, being a university graduate and
    working in occupational sectors 3, 4, 6, 7 and 9 have the greatest
    substantial impact, albeit with varying effects. A university
    education increases the probability by 15%, while working in sectors
    3, 4, 6, 7 increases the probability by 15%, 20%, 24% and 18%
    respectively. Conversely, working in sector 9 decreases the
    probability by 18%. As anticipated, a higher the ratio of debt
    payments to income and total expenditure to total income both reduce
    the likelihood of having an individual private pension plan. The
    remaining significant variables exhibit negative effects, with
    reductions of 8% for being female, 10% for expecting lower future
    income, between 3% and 10% for households with four or more members,
    and 3% for being single. Employment status, age, health status, risk
    aversion and real assets coefficients show no significance.</p>
    <p>The significance and the effect of the variables related to the
    household and the reference person that have been included in the
    logit analysis are highly sensitive to the composition of the
    household in terms of number of members and their ages. In Model C,
    which analyses households in which there is either only one member
    (between 18 and 65 years old) or among all members only the
    reference person is between 18 and 65 years old, the sex of the
    reference person loses significance, while the level of education
    remains significant (although it now discriminates significantly in
    favour of high school) and marital status continues to be
    significant (being widow/widowed or divorced decreases the
    probability by 28% and 16%, respectively).</p>
    <table-wrap id="t5"><label>Table 5</label><caption><p>Logit models for reference person. DB1 y DB2. Odds ratios and significance . Source: own elaboration.</p></caption>
      <table>
        <colgroup>
          <col width="53%" />
          <col width="21%" />
          <col width="14%" />
          <col width="12%" />
        </colgroup>
        <thead>
          <tr>
            <th></th>
            <th>Model A<break/>DB1 H2</th>
            <th>Model B<break/>DB1 H1</th>
            <th>Model C<break/>DB2 H1=H2</th>
          </tr>
        </thead>
        <tbody>
          <tr>
            <td>Reference person is a member of an occupational pension
            plan</td>
            <td></td>
            <td>0.6483</td>
            <td>0.5937</td>
          </tr>
          <tr>
            <td>Another household member is a member of an occupational
            pension plan</td>
            <td></td>
            <td>1.1014*</td>
            <td></td>
          </tr>
          <tr>
            <td>One or more household members are members of an
            occupational pension plan</td>
            <td>0.7377</td>
            <td></td>
            <td></td>
          </tr>
          <tr>
            <td>Another household member is a member of an individual
            pension plan and/or has subscribed to a voluntary retirement
            insurance</td>
            <td>7.0620</td>
            <td>7.153</td>
            <td></td>
          </tr>
          <tr>
            <td colspan="4">Variables related to the reference
            person</td>
          </tr>
          <tr>
            <td>Educational level (high school)</td>
            <td>1.3628</td>
            <td>1.3612</td>
            <td>1.2514***</td>
          </tr>
          <tr>
            <td>Educational level (university)</td>
            <td>1.1566***</td>
            <td>1.1518***</td>
            <td>1.1008</td>
          </tr>
          <tr>
            <td>Employment status (self-employed)</td>
            <td>1.3285</td>
            <td>1.3019</td>
            <td>1.4830</td>
          </tr>
          <tr>
            <td>Employment status (unemployed)</td>
            <td>0.5656</td>
            <td>0.5556</td>
            <td>0.7022</td>
          </tr>
          <tr>
            <td>Employment status (retired)</td>
            <td>0.6316</td>
            <td>0.6280</td>
            <td>0.5214</td>
          </tr>
          <tr>
            <td>Occupational sector (OS1)</td>
            <td>1.4673</td>
            <td>1.4868</td>
            <td>0.6951***</td>
          </tr>
          <tr>
            <td>Occupational sector (OS2)</td>
            <td>1.2871</td>
            <td>1.3030</td>
            <td>0.5891</td>
          </tr>
          <tr>
            <td>Occupational sector (OS3)</td>
            <td>1.1562*</td>
            <td>1.1739**</td>
            <td>0.6781</td>
          </tr>
          <tr>
            <td>Occupational sector (OS4)</td>
            <td>1.2076***</td>
            <td>1.2126***</td>
            <td>0.6458</td>
          </tr>
          <tr>
            <td>Occupational sector (OS6)</td>
            <td>1.2475*</td>
            <td>1.2682*</td>
            <td>0.9591*</td>
          </tr>
          <tr>
            <td>Occupational sector (OS7)</td>
            <td>1.1887**</td>
            <td>1.1948**</td>
            <td>0.6077</td>
          </tr>
          <tr>
            <td>Occupational sector (OS8)</td>
            <td>0.9972*</td>
            <td>1.0048*</td>
            <td>1.1279*</td>
          </tr>
          <tr>
            <td>Occupational sector (OS9)</td>
            <td>0.8158***</td>
            <td>0.8187**</td>
            <td>0.7091***</td>
          </tr>
          <tr>
            <td>Occupational sector (OS10)</td>
            <td>2.3494</td>
            <td>2.3268</td>
            <td>1.9470</td>
          </tr>
          <tr>
            <td>Occupational sector (OS11)</td>
            <td>2.1470</td>
            <td>2.1890</td>
            <td>0.1772</td>
          </tr>
          <tr>
            <td>18 ≤ Age &lt;25</td>
            <td>0.0000*</td>
            <td>0.0000*</td>
            <td>0.0000*</td>
          </tr>
          <tr>
            <td>25 ≤ Age &lt;35</td>
            <td>0.2432</td>
            <td>0.2459</td>
            <td>0.1168</td>
          </tr>
          <tr>
            <td>35 ≤ Age &lt;45</td>
            <td>0.6754</td>
            <td>0.6770</td>
            <td>0.1930</td>
          </tr>
          <tr>
            <td>45 ≤ Age &lt;55</td>
            <td></td>
            <td></td>
            <td>0.7235</td>
          </tr>
          <tr>
            <td>55 ≤ Age ≤65</td>
            <td>1.1940</td>
            <td>1.1987</td>
            <td></td>
          </tr>
          <tr>
            <td>Gender (female)</td>
            <td>0.9229**</td>
            <td>0.9204**</td>
            <td>1.8227</td>
          </tr>
          <tr>
            <td>Health (acceptable)</td>
            <td>0.7965</td>
            <td>0.7927</td>
            <td>0.7868</td>
          </tr>
          <tr>
            <td>Health (bad)</td>
            <td>0.4532</td>
            <td>0.4556</td>
            <td>0.4993</td>
          </tr>
          <tr>
            <td>Marital status (single)</td>
            <td>0.9669*</td>
            <td>0.9592*</td>
            <td></td>
          </tr>
          <tr>
            <td>Marital status (married)</td>
            <td></td>
            <td></td>
            <td>0.6332</td>
          </tr>
          <tr>
            <td>Marital status (divorced)</td>
            <td>1.7513</td>
            <td>1.7754</td>
            <td>0.8410***</td>
          </tr>
          <tr>
            <td>Marital status (widow/widower)</td>
            <td>1.7244</td>
            <td>1.7404</td>
            <td>0.7176***</td>
          </tr>
          <tr>
            <td colspan="4">Variables related to the household</td>
          </tr>
          <tr>
            <td>Ratio of expenditure to total income</td>
            <td>0.9433*</td>
            <td>0.9453*</td>
            <td>1.0767</td>
          </tr>
          <tr>
            <td>Risk aversion (at-risk household)</td>
            <td>0.7288</td>
            <td>0.7282</td>
            <td>0.4663</td>
          </tr>
          <tr>
            <td>Real assets</td>
            <td>1.0511</td>
            <td>1.0514</td>
            <td>1.0100*</td>
          </tr>
          <tr>
            <td>Evolution of the household's future income (higher)</td>
            <td>0.8112</td>
            <td>0.8107</td>
            <td>0.7756</td>
          </tr>
          <tr>
            <td>Evolution of the household's future income (lower)</td>
            <td>0.8980**</td>
            <td>0.9000**</td>
            <td>0.8453*</td>
          </tr>
          <tr>
            <td>Ratio of debt to income</td>
            <td>1.0044*</td>
            <td>1.0040*</td>
            <td>1.0233</td>
          </tr>
          <tr>
            <td>Ratio of debt payments to income</td>
            <td>0.7120***</td>
            <td>0.7160***</td>
            <td>1.0327*</td>
          </tr>
          <tr>
            <td>Number of household members (number=2)</td>
            <td>0.7589</td>
            <td>0.7609</td>
            <td>1.1488*</td>
          </tr>
          <tr>
            <td>Number of household members (number=3)</td>
            <td></td>
            <td></td>
            <td>2.3038</td>
          </tr>
          <tr>
            <td>Number of household members (number=4)</td>
            <td>0.8944***</td>
            <td>0.8918***</td>
            <td>1.6631*</td>
          </tr>
          <tr>
            <td>Number of household members (number≥5)</td>
            <td>0.9697*</td>
            <td>0.9721*</td>
            <td>0.0000*</td>
          </tr>
          <tr>
            <td>Per capita income</td>
            <td>1.4240</td>
            <td>1.4816</td>
            <td>2.0547</td>
          </tr>
        </tbody>
      </table>
    </table-wrap>
    <p><italic>Dependent variable: = 1 if the reference person of the
    household is a member of an individual private pension plan and/or
    has a voluntary retirement insurance; 0 = otherwise.</italic></p>
    <p><italic>The reference category for the dummy variables in DB1
    with two or more categories was a three-member household that does
    not like to take risks and expects to maintain its income level in
    the future and whose reference person had less than secondary
    education, was a married man, in good health, employed, working in
    the occupational sector OS5 and aged between 45 and 54.</italic></p>
    <p><italic>The reference category for the dummy variables in DB2
    with two or more categories was a one-member household that does not
    like to take risks and expects to maintain its income level in the
    future and whose reference person had less than secondary education,
    was a single man, in good health, employed, working in the
    occupational sector OS5 and aged between 55 and 65.</italic></p>
    <p><italic>***, ** and * represent statistical significance at the
    1%, 5% and 10% levels, respectively, of t-statistics.</italic></p>
  </sec>
  <sec id="s5_2"><label>5.2</label>
    <title>By Economic Group</title>
    <p>The findings from Table 6 highlight the significant impact of the
    economic profile of households on the relationship between the
    second and third pillars. The response to the contrast of hypotheses
    varies depending on the economic profile group in which the test is
    performed.</p>
    <p>In the global scenario, the presence of an occupational pension
    plan for any household member, whether the reference person or
    anyone else, does not influence the fact that the reference person
    has an individual private pension plan (see Table 5). This remains
    the case for households in Cluster 1. However, in the other two
    clusters, it does influence, and negatively so, reducing the
    probability that the reference person has a third pillar product by
    11.42% and 0.69% in Clusters 3 and 4, respectively. That is, except
    in households with high real assets, lower expected future income,
    high disposable income, and the reference person nearing retirement
    (Cluster 1), the second pillar acts as a substitute for the third
    pillar. This substitution effect is minimal for households with low
    real assets, higher expected future income, low disposable income
    and the reference person far from retirement (Cluster 3). The
    potential differentiator behind this substitution effect is the
    youth of the reference person in Cluster 3 households, making it
    challenging for them to obtain an occupational plan.</p>
    <p>When considering whether it is the reference person or another
    member of the household who has the occupational plan, it is
    observed that the reference person having an occupational plan
    negatively affects their possession of an individual plan, only in
    households in Cluster 2. This implies that, in this cluster, a
    significant portion of households has a reference person who,
    despite the characteristics of the Spanish labour market, has an
    occupational plan, but lacks a third pillar. If we analyse the
    influence of another household member with an occupational pension
    plan, we observe that, except in Cluster 3, the positive influence
    is maintained, albeit with varying magnitudes. In households with
    high real assets, lower expected future income, high disposable
    income, low indebtedness, and the reference person nearing
    retirement (Cluster 1), the probability of the reference person
    having a third pillar product increases by 46%, if another household
    member has an occupational plan.</p>
    <p>Focusing on DB2, which exclusively includes households where only
    the reference person is aged between 18 and 65, we find that the
    behaviour concerning second and third pillar savings is very
    different according to the economic condition of the household. The
    probability that the reference person has a third pillar product
    increases by 91% (14%) if they have an occupational pension plan in
    Cluster 1 (Cluster 3).</p>
    <table-wrap id="t6"><label>Table 6</label><caption><p>Logit models for reference person in the different clusters.</p></caption>
      <table>
        <colgroup>
          <col width="28%" />
          <col width="8%" />
          <col width="8%" />
          <col width="8%" />
          <col width="8%" />
          <col width="8%" />
          <col width="8%" />
          <col width="8%" />
          <col width="8%" />
          <col width="8%" />
        </colgroup>
        <thead>
          <tr>
            <th></th>
            <th colspan="3"><bold>Cluster 1</bold></th>
            <th colspan="3"><bold>Cluster 2</bold></th>
            <th colspan="3"><bold>Cluster 3</bold></th>
          </tr>
        </thead>
        <tbody>
          <tr>
            <td></td>
            <td><bold>Model A</bold><break/><bold>DB1 H2</bold></td>
            <td><bold>Model B</bold><break/><bold>DB1 H1</bold></td>
            <td><bold>Model C</bold><break/><bold>DB2 H1=H2</bold></td>
            <td><bold>Model A</bold><break/><bold>DB1 H2</bold></td>
            <td><bold>Model B</bold><break/><bold>DB1 H1</bold></td>
            <td><bold>Model C</bold><break/><bold>DB2 H1=H2</bold></td>
            <td><bold>Model A</bold><break/><bold>DB1 H2</bold></td>
            <td><bold>Model B</bold><break/><bold>DB1 H1</bold></td>
            <td><bold>Model C</bold><break/><bold>DB2 H1=H2</bold></td>
          </tr>
          <tr>
            <td>Reference person is a member of an occupational pension
            plan</td>
            <td></td>
            <td>0.3103</td>
            <td>1.9121***</td>
            <td></td>
            <td>0.9462*</td>
            <td>0.5383</td>
            <td></td>
            <td>0.4542</td>
            <td>1.1441*</td>
          </tr>
          <tr>
            <td>Another household member is a member of an occupational
            pension plan</td>
            <td></td>
            <td>1.4608*</td>
            <td></td>
            <td></td>
            <td>1.0612*</td>
            <td></td>
            <td></td>
            <td>2.4149</td>
            <td></td>
          </tr>
          <tr>
            <td>One or more household members are members of an
            occupational pension plan</td>
            <td>0.6207</td>
            <td></td>
            <td></td>
            <td>0.8858*</td>
            <td></td>
            <td></td>
            <td>0.9931*</td>
            <td></td>
            <td></td>
          </tr>
          <tr>
            <td>Another household member is a member of an individual
            pension plan and/or has subscribed to a voluntary retirement
            insurance</td>
            <td>7.5455</td>
            <td>8.0576</td>
            <td></td>
            <td>7.9795</td>
            <td>8.0218</td>
            <td></td>
            <td>10.2944</td>
            <td>10.5055</td>
            <td></td>
          </tr>
          <tr>
            <td colspan="10">Variables related to the reference
            person</td>
          </tr>
          <tr>
            <td>Educational level (high school)</td>
            <td>1.7449</td>
            <td>1.8398</td>
            <td>1.1761*</td>
            <td>1.4795</td>
            <td>1.4716</td>
            <td>1.7353</td>
            <td>1.4009</td>
            <td>1.3747</td>
            <td>1.3646**</td>
          </tr>
          <tr>
            <td>Educational level (university)</td>
            <td>1.9717</td>
            <td>2.1251</td>
            <td>1.2732*</td>
            <td>1.3838</td>
            <td>1.3684</td>
            <td>1.8058</td>
            <td>1.7049</td>
            <td>1.7196</td>
            <td>1.4270**</td>
          </tr>
          <tr>
            <td>Occupational sector (OS1)</td>
            <td></td>
            <td></td>
            <td></td>
            <td></td>
            <td></td>
            <td>2.3616</td>
            <td>2.1898</td>
            <td>2.0978</td>
            <td>1.7536***</td>
          </tr>
          <tr>
            <td>Occupational sector (OS2)</td>
            <td>0.6343</td>
            <td>0.6164</td>
            <td>1.5403*</td>
            <td>0.7521</td>
            <td>0.7497</td>
            <td>0.9061*</td>
            <td>1.3263*</td>
            <td>1.3011*</td>
            <td>1.5431*</td>
          </tr>
          <tr>
            <td>Occupational sector (OS3)</td>
            <td>0.5496</td>
            <td>0.5570</td>
            <td>0.3960***</td>
            <td>0.5390</td>
            <td>0.5342</td>
            <td>1.3423**</td>
            <td>1.4516***</td>
            <td>1.4989***</td>
            <td>0.9971*</td>
          </tr>
          <tr>
            <td>Occupational sector (OS4)</td>
            <td>0.5356</td>
            <td>0.5736</td>
            <td>0.3946***</td>
            <td>0.5074</td>
            <td>0.5038</td>
            <td></td>
            <td>1.3468**</td>
            <td>1.3724**</td>
            <td>1.0629*</td>
          </tr>
          <tr>
            <td>Occupational sector (OS5)</td>
            <td>0.3582</td>
            <td>0.3626</td>
            <td>1.8519**</td>
            <td>0.3529</td>
            <td>0.3514</td>
            <td>1.2283*</td>
            <td></td>
            <td></td>
            <td></td>
          </tr>
          <tr>
            <td>Occupational sector (OS6)</td>
            <td>0.0000*</td>
            <td>0.0000*</td>
            <td>3.6137**</td>
            <td>0.6791*</td>
            <td>0.6840*</td>
            <td>0.8726*</td>
            <td>3.1890</td>
            <td>3.1139</td>
            <td>0.9893*</td>
          </tr>
          <tr>
            <td>Occupational sector (OS7)</td>
            <td>0.3534</td>
            <td>0.3648</td>
            <td>0.0000*</td>
            <td>0.3845</td>
            <td>0.3853</td>
            <td>0.9454*</td>
            <td>1.4018**</td>
            <td>1.3979**</td>
            <td>0.8338*</td>
          </tr>
          <tr>
            <td>Occupational sector (OS8)</td>
            <td>0.6795**</td>
            <td>0.7209*</td>
            <td>0.8320*</td>
            <td>0.3282</td>
            <td>0.3297</td>
            <td>1.2627*</td>
            <td>1.2126*</td>
            <td>1.1842*</td>
            <td>2.4484</td>
          </tr>
          <tr>
            <td>Occupational sector (OS9)</td>
            <td>0.3112</td>
            <td>0.3181</td>
            <td>0.2688</td>
            <td>0.1850</td>
            <td>0.1853</td>
            <td>0.9540*</td>
            <td>1.0441*</td>
            <td>1.0478*</td>
            <td>0.6932*</td>
          </tr>
          <tr>
            <td>Occupational sector (OS10)</td>
            <td>1.8304*</td>
            <td>1.5883*</td>
            <td>-</td>
            <td>0.2866</td>
            <td>0.2879</td>
            <td>1.3251*</td>
            <td>5.7654</td>
            <td>5.4856</td>
            <td>13.5562</td>
          </tr>
          <tr>
            <td>Occupational sector (OS11)</td>
            <td>0.0000*</td>
            <td>0.0000*</td>
            <td>0.0000*</td>
            <td>0.5685**</td>
            <td>0.5730*</td>
            <td>0.1591</td>
            <td>4.3411</td>
            <td>4.4128</td>
            <td>-</td>
          </tr>
          <tr>
            <td>18 ≤ Age &lt;55</td>
            <td>0.0000*</td>
            <td>0.0000*</td>
            <td>0.1829*</td>
            <td>0.0000*</td>
            <td>0.0000*</td>
            <td>0.0000*</td>
            <td>0.0000*</td>
            <td>0.0000*</td>
            <td>0.0000*</td>
          </tr>
          <tr>
            <td>25 ≤ Age &lt;35</td>
            <td>0.0812</td>
            <td>0.0769</td>
            <td>0.0000*</td>
            <td>0.1427</td>
            <td>0.1428</td>
            <td>0.0000*</td>
            <td>0.3685</td>
            <td>0.3842</td>
            <td>0.2972</td>
          </tr>
          <tr>
            <td>35 ≤ Age &lt;45</td>
            <td>0.9494*</td>
            <td>0.9572*</td>
            <td>0.0632</td>
            <td>0.6041</td>
            <td>0.6045</td>
            <td>0.3029</td>
            <td></td>
            <td></td>
            <td>0.2993</td>
          </tr>
          <tr>
            <td>45 ≤ Age &lt;55</td>
            <td>0.8226*</td>
            <td>0.7995**</td>
            <td>0.8833*</td>
            <td></td>
            <td></td>
            <td>0.9005</td>
            <td>0.9922*</td>
            <td>0.9720*</td>
            <td></td>
          </tr>
          <tr>
            <td>55 ≤ Age ≤65</td>
            <td></td>
            <td></td>
            <td></td>
            <td>1.2276</td>
            <td>1.2275</td>
            <td></td>
            <td>0.6146</td>
            <td>0.6206</td>
            <td>1.2579*</td>
          </tr>
          <tr>
            <td>Gender (female)</td>
            <td>0.6891</td>
            <td>0.6735</td>
            <td>1.6137***</td>
            <td>0.8025</td>
            <td>0.8058</td>
            <td>1.6404</td>
            <td>0.8641**</td>
            <td>0.8558</td>
            <td>1.3902***</td>
          </tr>
          <tr>
            <td>Health (acceptable)</td>
            <td>0.6924</td>
            <td>0.6709</td>
            <td>0.7770*</td>
            <td>0.6098</td>
            <td>0.6090</td>
            <td>0..7122</td>
            <td>0.9482*</td>
            <td>0.9260*</td>
            <td>0.6130</td>
          </tr>
          <tr>
            <td>Health (bad)</td>
            <td>0.8630*</td>
            <td>0.8537*</td>
            <td>0.1212</td>
            <td>0.2330</td>
            <td>0.2327</td>
            <td>0.3052</td>
            <td>0.2984</td>
            <td>0.2955</td>
            <td>0.5767**</td>
          </tr>
          <tr>
            <td>Marital status (single)</td>
            <td>0.6854*</td>
            <td>0.6254**</td>
            <td></td>
            <td>1.3699</td>
            <td>1.3731</td>
            <td></td>
            <td>0.8300*</td>
            <td>0.7937**</td>
            <td></td>
          </tr>
          <tr>
            <td>Marital status (married)</td>
            <td></td>
            <td></td>
            <td>2.1611***</td>
            <td></td>
            <td></td>
            <td>0.3524</td>
            <td></td>
            <td></td>
            <td>1.0200*</td>
          </tr>
          <tr>
            <td>Marital status (divorced)</td>
            <td>1.0477*</td>
            <td>1.0742*</td>
            <td>1.3312*</td>
            <td>2.0549</td>
            <td>2.0646</td>
            <td>0.8048***</td>
            <td>1.7995</td>
            <td>1.8189</td>
            <td>0.9306*</td>
          </tr>
          <tr>
            <td>Marital status (widow/widower)</td>
            <td>1.6718*</td>
            <td>1.6391*</td>
            <td>0.5550*</td>
            <td>2.1202</td>
            <td>2.1250</td>
            <td>0.6686***</td>
            <td>1.3168*</td>
            <td>1.3406*</td>
            <td>1.0459*</td>
          </tr>
          <tr>
            <td colspan="10">Variables related to the household</td>
          </tr>
          <tr>
            <td>Number of household members (number=1)</td>
            <td>-</td>
            <td>-</td>
            <td></td>
            <td>-</td>
            <td>-</td>
            <td></td>
            <td>-</td>
            <td>-</td>
            <td></td>
          </tr>
          <tr>
            <td>Number of household members (number=2)</td>
            <td>1.0461*</td>
            <td>1.1032*</td>
            <td>0.7830*</td>
            <td>0.8402***</td>
            <td>0.8425***</td>
            <td>1.1339*</td>
            <td>0.5349</td>
            <td>0.5246</td>
            <td>0.7662**</td>
          </tr>
          <tr>
            <td>Number of household members (number=3)</td>
            <td></td>
            <td></td>
            <td>1.7814*</td>
            <td>0.9468*</td>
            <td>0.9477*</td>
            <td>1.1729*</td>
            <td></td>
            <td></td>
            <td>1.6005***</td>
          </tr>
          <tr>
            <td>Number of household members (number=4)</td>
            <td>0.6397</td>
            <td>0.6008</td>
            <td>0.0000*</td>
            <td></td>
            <td></td>
            <td>1.7758*</td>
            <td>0.9655*</td>
            <td>0.9774*</td>
            <td>0.6621*</td>
          </tr>
          <tr>
            <td>Number of household members (number≥5)</td>
            <td>0.8899*</td>
            <td>0.8277*</td>
            <td>0.0000*</td>
            <td>0.9110*</td>
            <td>0.9170*</td>
            <td>0.0000*</td>
            <td>1.0006*</td>
            <td>1.0013*</td>
            <td>0.0000*</td>
          </tr>
        </tbody>
      </table>
    </table-wrap>
      <p><italic>Source: own elaboration. Dependent variable: = 1 if the
      reference person of the household is a member of an individual
      private pension plan and/or has a voluntary retirement insurance;
      0 = otherwise. The reference category for the dummy variables with
      two or more categories is indicated with an empty cell. The dash
      indicates that there is no value.</italic></p>
      <p>***, ** and * represent statistical significance at the 1%, 5%
      and 10% levels, respectively, of t-statistics.</p>
</sec>
</sec>
<sec id="s6"><label>6</label>
  <title>CONCLUSIONS</title>
  <p>The data reveal that approximately one in five households in Spain
  has an individual private pension plan. This ratio drops to one in six
  when focusing only on those households with low real assets, higher
  expected future income, characterised by low disposable income, and
  whose reference person is far from retirement.</p>
  <p>Our study emphasizes the importance of distinguishing the household
  member participating in the occupational pension plan when assessing
  the influence, through the reference person, of the second pillar on
  the third pillar. If the reference person is the participant, the
  effect is nil; however, if it is another household member, the
  probability that the reference person has a third pillar instrument
  increases by 10.1%. This percentage rises to 46% in households with
  high real assets, lower expected future income, high disposable
  income, low indebtedness, and a reference person nearing retirement).
  These results, though not entirely comparable due to different
  surveys, models, and variables, contradict those presented by
  Moreno-Herrero <italic>et al.</italic> (2017), who worked at the
  household level without distinguishing the participant in the pension
  plan.</p>
  <p>The results of this study show that the significance and effect of
  the variables related to the household and the reference person
  included in the logit analysis are highly sensitive to the household
  composition in terms of number of members and their ages. In
  households with two or more members aged between 18 and 65, the
  probability of the reference person having an individual private
  pension plan is unaffected by employment status, age, health status,
  risk aversion and real household assets. However, educational level
  and occupational sector have a significant impact, with a university
  education increasing the probability by 15%, while being single
  reduces the probability by 3%. In households where the only person
  aged between 18 and 65 is the reference person, gender is no longer
  significant, and educational level now heavily favours high school).
  Marital status (being widowed or divorced) decreases the probability
  by 28% and 16%, respectively.</p>
  <p>Some results regarding the relationship between household economic
  characteristics and the existence of a substitute or complementary
  effect between the second and third pillars lack sufficient
  explanation. The data aims to determine if there are mandatory
  occupational pension plans within the productive sector where the
  individual in question is employed. The EFF2020 provides information
  on the occupational sector, which doesn't align with the National
  Classification of Economic Activities 2009 (Spain, 2007). The latter
  is closely linked to the established structures of social dialogue in
  Spain (Boj <italic>et al.</italic>, 2022).</p>
  <p>The personal socio-demographic variables used in this paper focus
  on the reference person, who is the one who answered the survey and
  that normally coincides with the person handling household economic
  matters (Banco de España, 2022a), making comparisons with other papers
  challenging (e.g. Moreno-Herrero <italic>et al.</italic>, 2017). The
  Bank of Spain defines the head of household as the reference person
  designated by the household for the purposes of answering the survey
  if he is male, or the partner of the reference person, if the
  reference person is female, providing the partner resides in the
  household (Banco de España, 2022b). The problems arising from this
  anachronistic definition of the head of household will be analysed in
  subsequent papers.</p>
  <p>The relationship between contributions to second and third pillar
  instruments will be explored when EFF data for the 2023, the year
  after the latest regulatory changes (Spain, 2020, 2022) becomes
  available.</p>
  <p>The results highlight gender disparities in individual private
  pension plans, showing that women who live with other adults aged
  18-65 have fewer plans than their male counterparts, while women who
  do not live with other adults aged 18-65 have more plans. Table 5 and
  Table 6 confirm these influences on the likelihood of having an
  individual private pension plan. On the other hand, it appears from
  the data that marital status and age also have an influence on the
  likelihood of having an individual private pension plan. Further
  analysis is needed to understand the cross-over effect between gender,
  marital status and age, shedding light on saving patterns in third
  pillar products with homogeneous groups.</p>
  <p>In resolving the dilemma of whether the second and third pillars in
  Spain are complementary or substitutes, this study concludes that,
  globally, these two pillars complement each other. Policies promoting
  occupational pillar development positively influence contracts for
  individual savings instruments. These findings provide objective data
  that can help the social partners, the social welfare industry and
  legislators to contemplate measures for the advancement of
  complementary social welfare.</p>
</sec>
</body>
<back>
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</ref-list>
<fn-group>
  <fn id="fn1">
    <label>1</label><p>The centroid of cluster 1 (2;3) expects to have
    less (equal; lower) future income and has real assets of 735,540€
    (630,000€; 412,723€).</p>
  </fn>
  <fn id="fn2">
    <label>2</label><p>An odds ratio greater than one indicates that an
    explanatory variable increases the probability of owning an
    individual private pension plan and/or voluntary retirement
    insurance. Conversely, an odds ratio between 0 and 1 decreases the
    probability.</p>
  </fn>
  <fn id="fn3">
    <label>3</label><p>This joint ceiling amounts to €8,000 in 2020. As
    of 2021 (Spain, 2020) important changes were initiated in the
    regulation of the limits on contributions to social welfare
    instruments, which were intended to encourage the development of the
    second pillar.</p>
  </fn>
</fn-group>
<app-group>
<app id="app1">
<title>Appendix</title>
<table-wrap id="t7"><label>Table 7</label><caption><p>Details on explanatory variables. Source: own elaboration based on Banco de España (2022b).</p></caption>
    <table>
      <colgroup>
        <col width="28%" />
        <col width="72%" />
      </colgroup>
      <thead>
        <tr>
          <th colspan="2">Variables related to the reference person</th>
        </tr>
      </thead>
      <tbody>
        <tr>
          <td>Educational level</td>
          <td>Less than high school =1</td>
        </tr>
        <tr>
          <td></td>
          <td>High school=1</td>
        </tr>
        <tr>
          <td></td>
          <td>University=1</td>
        </tr>
        <tr>
          <td>Employment status</td>
          <td>Employed=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Self-employed=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Retired=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Unemployed or other inactive type =1</td>
        </tr>
        <tr>
          <td>Occupational sector (OS)</td>
          <td>Management of companies and public administrations
          (OS=1)=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Scientific and intellectual technicians and professionals
          (OS=2)=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Technicians and support professionals (OS=3)=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Administrative type Jobs (OS=4)=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Catering, personal services, protection and shop assistant
          workers (OS=5)=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Skilled workers in agriculture and fishing (OS=6)=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Skilled craftsmen and skilled workers in manufacturing,
          construction and mining, except plant and machinery operators
          (OS=7)=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Stationary plant and machinery operators and fitters
          (OS=8)=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Unskilled workers (OS=9)=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Armed Forces (OS=10)=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Not recorded (OS=11)=1</td>
        </tr>
        <tr>
          <td>Age</td>
          <td>18 ≤ Age &lt;25; 25 ≤ Age &lt;35; 35 ≤ Age &lt;45; 45 ≤
          Age &lt;55; 55 ≤ Age ≤65</td>
        </tr>
        <tr>
          <td>Gender</td>
          <td>Male =1</td>
        </tr>
        <tr>
          <td></td>
          <td>Female=1</td>
        </tr>
        <tr>
          <td>Health</td>
          <td>Good=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Acceptable =1</td>
        </tr>
        <tr>
          <td></td>
          <td>Bad=1</td>
        </tr>
        <tr>
          <td>Marital status</td>
          <td>Single=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Married=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Divorced=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Widow/widower=1</td>
        </tr>
        <tr>
          <td colspan="2">Variables related to the household</td>
        </tr>
        <tr>
          <td>Ratio of expenditure to income (%)</td>
          <td>Expenditure (food, other non-durable goods and cars and
          other vehicles) over household income</td>
        </tr>
        <tr>
          <td>Risk aversion</td>
          <td>The household does not like to take risks =1</td>
        </tr>
        <tr>
          <td></td>
          <td>At-risk household =1</td>
        </tr>
        <tr>
          <td>Real assets (€)</td>
          <td>Natural logarithm of the value of wealth in real
          assets</td>
        </tr>
        <tr>
          <td>Evolution of the household's future income</td>
          <td>Higher future income=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Equal future income=1</td>
        </tr>
        <tr>
          <td></td>
          <td>Lower future income=1</td>
        </tr>
        <tr>
          <td>Ratio of debt to income (%)</td>
          <td>Debt (purchase of the main residence or other real estate
          properties, plus any other household debt, including credit
          card debt and debts with family or friends) over household
          income</td>
        </tr>
        <tr>
          <td>Ratio of debt payments to income (%)</td>
          <td>Debt annual payments (including repayment of principal and
          interest payments) over household income</td>
        </tr>
        <tr>
          <td>Per capita income</td>
          <td>Logarithm of household income per capita</td>
        </tr>
        <tr>
          <td>Number of members (Models 1 and 2)</td>
          <td>Number=2; Number=3; Number=4; Number ≥5</td>
        </tr>
        <tr>
          <td>Number of members (Model 3)</td>
          <td>Number=1; Number=2; Number=3; Number=4; Number ≥5</td>
        </tr>
      </tbody>
    </table>
  </table-wrap>
  <table-wrap id="t8"><label>Table 8</label><caption><p>Descriptive statistics of the categorical explanatory variables related to the reference person. Source: own elaboration based on Banco de España (2022b).</p></caption>
    <table>
      <colgroup>
        <col width="11%" />
        <col width="55%" />
        <col width="11%" />
        <col width="11%" />
        <col width="11%" />
      </colgroup>
      <thead>
        <tr>
          <th rowspan="2" colspan="2"><bold>Variables</bold></th>
          <th colspan="3"><italic><bold>% of
          households </bold></italic></th>
        </tr>
        <tr>
          <th><italic><bold>General</bold></italic></th>
          <th><italic><bold>DB1</bold></italic></th>
          <th><italic><bold>DB2</bold></italic></th>
        </tr>
      </thead>
      <tbody>
        <tr>
          <td></td>
          <td colspan="4">Age </td>
        </tr>
        <tr>
          <td colspan="2">18 ≤ Age &lt;25</td>
          <td>0.84</td>
          <td>0.86</td>
          <td>0.78</td>
        </tr>
        <tr>
          <td colspan="2">25 ≤ Age &lt;35</td>
          <td>9.17</td>
          <td>9.48</td>
          <td>8.33</td>
        </tr>
        <tr>
          <td colspan="2">35 ≤ Age &lt;45</td>
          <td>26.62</td>
          <td>27.98</td>
          <td>22.84</td>
        </tr>
        <tr>
          <td colspan="2">45 ≤ Age &lt;55</td>
          <td><bold>33.14</bold></td>
          <td><bold>33.23</bold></td>
          <td>32.91</td>
        </tr>
        <tr>
          <td colspan="2">55 ≤ Age ≤65</td>
          <td>30.22</td>
          <td>28.45</td>
          <td><bold>35.15</bold></td>
        </tr>
        <tr>
          <td></td>
          <td colspan="4">Gender  </td>
        </tr>
        <tr>
          <td colspan="2">Male</td>
          <td><bold>54.30</bold></td>
          <td><bold>55.25 </bold></td>
          <td><bold>51.67</bold></td>
        </tr>
        <tr>
          <td colspan="2">Female</td>
          <td>45.70</td>
          <td>44.75</td>
          <td>48.33</td>
        </tr>
        <tr>
          <td></td>
          <td colspan="4">Educational level </td>
        </tr>
        <tr>
          <td colspan="2">Less than high school</td>
          <td><bold>50.97</bold></td>
          <td><bold>50.50 </bold></td>
          <td><bold>52.29</bold></td>
        </tr>
        <tr>
          <td colspan="2">High school</td>
          <td>22.03</td>
          <td>22.77 </td>
          <td>19.97</td>
        </tr>
        <tr>
          <td colspan="2">University</td>
          <td>27.00</td>
          <td>26.73 </td>
          <td>27.74</td>
        </tr>
        <tr>
          <td></td>
          <td colspan="4">Marital status </td>
        </tr>
        <tr>
          <td colspan="2">Single</td>
          <td>29.74</td>
          <td>18.43 </td>
          <td><bold>61.16</bold></td>
        </tr>
        <tr>
          <td colspan="2">Married</td>
          <td><bold>52.36</bold></td>
          <td><bold>69.43 </bold></td>
          <td>4.97</td>
        </tr>
        <tr>
          <td colspan="2">Divorced</td>
          <td>16.64</td>
          <td>9.53 </td>
          <td>28.83</td>
        </tr>
        <tr>
          <td colspan="2">Widow/widower</td>
          <td>3.26</td>
          <td>2.61 </td>
          <td>5.04</td>
        </tr>
        <tr>
          <td></td>
          <td colspan="4">Employment status </td>
        </tr>
        <tr>
          <td colspan="2">Employed</td>
          <td><bold>57.05</bold></td>
          <td><bold>58.65 </bold></td>
          <td><bold>52.61</bold></td>
        </tr>
        <tr>
          <td colspan="2">Self-employed</td>
          <td>11.48</td>
          <td>12.38 </td>
          <td>8.97</td>
        </tr>
        <tr>
          <td colspan="2">Unemployed</td>
          <td>25.05</td>
          <td>22.79 </td>
          <td>31.31</td>
        </tr>
        <tr>
          <td colspan="2">Retired</td>
          <td>6.42</td>
          <td>6.18 </td>
          <td>7.10</td>
        </tr>
        <tr>
          <td></td>
          <td colspan="4">Health </td>
        </tr>
        <tr>
          <td colspan="2">Good</td>
          <td><bold>76.39</bold></td>
          <td><bold>77.16 </bold></td>
          <td><bold>74.23</bold></td>
        </tr>
        <tr>
          <td colspan="2">Acceptable</td>
          <td>19.24</td>
          <td>18.96 </td>
          <td>20.01</td>
        </tr>
        <tr>
          <td colspan="2">Bad</td>
          <td>4.37</td>
          <td>3.88 </td>
          <td>5.75</td>
        </tr>
        <tr>
          <td></td>
          <td colspan="4">Occupational sector </td>
        </tr>
        <tr>
          <td colspan="2">Management of companies and public
          administrations</td>
          <td>13.80</td>
          <td>15.42 </td>
          <td>9.29</td>
        </tr>
        <tr>
          <td colspan="2">Scientific and intellectual technicians and
          professionals</td>
          <td>12.43</td>
          <td>12.23 </td>
          <td>12.99</td>
        </tr>
        <tr>
          <td colspan="2">Technicians and support professionals</td>
          <td>10.01</td>
          <td>9.38 </td>
          <td>11.75</td>
        </tr>
        <tr>
          <td colspan="2">Administrative type Jobs</td>
          <td>11.28</td>
          <td>10.55 </td>
          <td>13.29</td>
        </tr>
        <tr>
          <td colspan="2">Catering, personal services, protection and
          shop assistant workers</td>
          <td><bold>16.50</bold></td>
          <td><bold>16.56 </bold></td>
          <td><bold>16.34</bold></td>
        </tr>
        <tr>
          <td colspan="2">Skilled workers in agriculture and
          fishing</td>
          <td>1.51</td>
          <td>1.39 </td>
          <td>1.85</td>
        </tr>
        <tr>
          <td colspan="2">Skilled craftsmen and skilled workers in
          manufacturing, construction and mining, except plant and
          machinery operators</td>
          <td>9.51 </td>
          <td>9.58 </td>
          <td>9.32</td>
        </tr>
        <tr>
          <td colspan="2">Stationary plant and machinery operators and
          fitters</td>
          <td>8.46</td>
          <td>9.11 </td>
          <td>6.66</td>
        </tr>
        <tr>
          <td colspan="2">Unskilled workers</td>
          <td>14.74</td>
          <td>14.22 </td>
          <td>16.18</td>
        </tr>
        <tr>
          <td colspan="2">Armed Forces</td>
          <td>0.77</td>
          <td>0.69 </td>
          <td>1.01</td>
        </tr>
        <tr>
          <td colspan="2">Not recorded</td>
          <td>0.99</td>
          <td>0.87 </td>
          <td>1.31</td>
        </tr>
      </tbody>
    </table>
  </table-wrap>
<p></p>
  <table-wrap id="t9"><label>Table 9</label><caption><p>Descriptive statistics of the categorical explanatory variables related to the household Source: own elaboration based on Banco de España (2022b).</p></caption>
    <table>
      <colgroup>
        <col width="51%" />
        <col width="17%" />
        <col width="17%" />
        <col width="16%" />
      </colgroup>
      <thead>
        <tr>
          <th> </th>
          <th colspan="3"><italic><bold>% of
          households </bold></italic></th>
        </tr>
      </thead>
      <tbody>
        <tr>
          <td></td>
          <td><italic><bold>General</bold></italic></td>
          <td><italic><bold>DB1</bold></italic></td>
          <td><italic><bold>DB2</bold></italic></td>
        </tr>
        <tr>
          <td><bold>Number of members</bold></td>
          <td></td>
          <td> </td>
          <td></td>
        </tr>
        <tr>
          <td>1</td>
          <td>18.58</td>
          <td>-</td>
          <td><bold>70.20</bold></td>
        </tr>
        <tr>
          <td>2</td>
          <td><bold>26.18</bold></td>
          <td>28.36 </td>
          <td>20.13</td>
        </tr>
        <tr>
          <td>3 </td>
          <td>24.84</td>
          <td><bold>30.83 </bold></td>
          <td>8.20</td>
        </tr>
        <tr>
          <td>4 </td>
          <td>22.38</td>
          <td>30.08 </td>
          <td>0.99</td>
        </tr>
        <tr>
          <td>&gt;=5 </td>
          <td>8.01</td>
          <td>10.72</td>
          <td>0.48</td>
        </tr>
        <tr>
          <td>Risk aversion</td>
          <td></td>
          <td> </td>
          <td></td>
        </tr>
        <tr>
          <td>the household does not like to take risks</td>
          <td><bold>78.46</bold></td>
          <td><bold>77.92</bold></td>
          <td><bold>79,94</bold></td>
        </tr>
        <tr>
          <td>At-risk household</td>
          <td>21.54</td>
          <td>22.08</td>
          <td>20,06</td>
        </tr>
        <tr>
          <td><bold>Evolution of the household's future
          income</bold></td>
          <td></td>
          <td> </td>
          <td></td>
        </tr>
        <tr>
          <td>Higher future income</td>
          <td>38.84</td>
          <td>38.69 </td>
          <td>39,27</td>
        </tr>
        <tr>
          <td>Equal future income</td>
          <td><bold>48.91</bold></td>
          <td><bold>48.94 </bold></td>
          <td><bold>48,80</bold></td>
        </tr>
        <tr>
          <td>Lower future income</td>
          <td>12.25</td>
          <td>12.37 </td>
          <td>11,93</td>
        </tr>
      </tbody>
    </table>
  </table-wrap>
<table-wrap id="t10"><label>Table 10</label><caption><p>Descriptive statistics of the non-categorical explanatory variables related to the household. DB1 and DB2.Source: own elaboration based on Banco de España (2022b).</p></caption>
    <table>
      <colgroup>
        <col width="24%" />
        <col width="12%" />
        <col width="12%" />
        <col width="11%" />
        <col width="9%" />
        <col width="11%" />
        <col width="11%" />
        <col width="11%" />
      </colgroup>
      <thead>
        <tr>
          <th><bold>Variable</bold></th>
          <th><italic><bold>Minimum</bold></italic></th>
          <th><italic><bold>Maximum</bold></italic></th>
          <th><italic><bold>SD</bold></italic></th>
          <th><italic><bold>Mean</bold></italic></th>
          <th><italic><bold>Median</bold></italic></th>
          <th><italic><bold>1st Quartile</bold></italic></th>
          <th><italic><bold>3rd Quartile</bold></italic></th>
        </tr>
      </thead>
      <tbody>
        <tr>
          <td>General</td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
        </tr>
        <tr>
          <td>Real assets (€)</td>
          <td>0</td>
          <td>22,246,641</td>
          <td>385,216</td>
          <td>208,653</td>
          <td>127,000</td>
          <td>32,599</td>
          <td>244,610</td>
        </tr>
        <tr>
          <td>Per capita income (€)</td>
          <td>0</td>
          <td>148,667</td>
          <td>13,035</td>
          <td>15,444</td>
          <td>11,936</td>
          <td>7,460</td>
          <td>19,297</td>
        </tr>
        <tr>
          <td>Ratio of total expenditure to total income</td>
          <td>0.01</td>
          <td>175.93</td>
          <td>2.25</td>
          <td>0.66</td>
          <td>0.32</td>
          <td>0.16</td>
          <td>0.63</td>
        </tr>
        <tr>
          <td>Ratio of debt to income</td>
          <td>0</td>
          <td>460.78</td>
          <td>7.61</td>
          <td>2.46</td>
          <td>0.93</td>
          <td>0.22</td>
          <td>2.63</td>
        </tr>
        <tr>
          <td>Ratio of debt payments to income</td>
          <td>0</td>
          <td>160.49</td>
          <td>1.17</td>
          <td>0.32</td>
          <td>0.15</td>
          <td>0.07</td>
          <td>0.30</td>
        </tr>
        <tr>
          <td>DB1</td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
        </tr>
        <tr>
          <td>Real assets (€)</td>
          <td>0</td>
          <td>25,347,463</td>
          <td>435,403</td>
          <td>229,496</td>
          <td>145,121</td>
          <td>55,000</td>
          <td>261,430</td>
        </tr>
        <tr>
          <td>Per capita income (€)</td>
          <td>0</td>
          <td>166,612</td>
          <td>14,753</td>
          <td>13,796</td>
          <td>11,480</td>
          <td>7,311</td>
          <td>17,943</td>
        </tr>
        <tr>
          <td>Ratio of total expenditure to total income</td>
          <td>0.01</td>
          <td>62.23</td>
          <td>0.52</td>
          <td>0.81</td>
          <td>0.32</td>
          <td>0.18</td>
          <td>0.59</td>
        </tr>
        <tr>
          <td>Ratio of debt to income</td>
          <td>0</td>
          <td>140.75</td>
          <td>1.89</td>
          <td>3.35</td>
          <td>0.86</td>
          <td>0.20</td>
          <td>2.40</td>
        </tr>
        <tr>
          <td>Ratio of debt payments to income</td>
          <td>0</td>
          <td>19.98</td>
          <td>0.23</td>
          <td>0.39</td>
          <td>0.14</td>
          <td>0.06</td>
          <td>0.27</td>
        </tr>
        <tr>
          <td>DB2</td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
        </tr>
        <tr>
          <td>Real assets (€)</td>
          <td>0</td>
          <td>4,017,500</td>
          <td>255,638</td>
          <td>148,805</td>
          <td>86,810</td>
          <td>100</td>
          <td>180,000</td>
        </tr>
        <tr>
          <td>Per capita income (€)</td>
          <td>0</td>
          <td>99,928</td>
          <td>14,297</td>
          <td>17,712</td>
          <td>13,253</td>
          <td>8,007</td>
          <td>23,414</td>
        </tr>
        <tr>
          <td>Ratio of total expenditure to total income</td>
          <td>0.02</td>
          <td>125.71</td>
          <td>3.98</td>
          <td>0.87</td>
          <td>0.34</td>
          <td>0.18</td>
          <td>0.67</td>
        </tr>
        <tr>
          <td>Ratio of debt to income</td>
          <td>0</td>
          <td>425.79</td>
          <td>13.74</td>
          <td>3.33</td>
          <td>1.07</td>
          <td>0.23</td>
          <td>3.04</td>
        </tr>
        <tr>
          <td>Ratio of debt payments to income</td>
          <td>0</td>
          <td>84.41</td>
          <td>2.68</td>
          <td>0.51</td>
          <td>0.19</td>
          <td>0.10</td>
          <td>0.39</td>
        </tr>
      </tbody>
    </table>
  </table-wrap>
  <table-wrap id="t11"><label>Table 11</label><caption><p>Descriptive statistics of the categorical explanatory variables related to the reference person. Clusters.Source: own elaboration based on Banco de España (2022b).</p></caption>
    <table>
      <colgroup>
        <col width="31%" />
        <col width="8%" />
        <col width="8%" />
        <col width="8%" />
        <col width="0%" />
        <col width="8%" />
        <col width="8%" />
        <col width="8%" />
        <col width="1%" />
        <col width="7%" />
        <col width="0%" />
        <col width="7%" />
        <col width="0%" />
        <col width="7%" />
      </colgroup>
      <thead>
        <tr>
          <th rowspan="3"><bold>Variables</bold></th>
          <th colspan="10"><bold>% of households </bold></th>
          <th colspan="2"></th>
          <th></th>
        </tr>
        <tr>
          <th colspan="3"><bold>Cluster 1</bold></th>
          <th colspan="5"><bold>Cluster 2</bold></th>
          <th colspan="5"><bold>Cluster 3</bold></th>
        </tr>
        <tr>
          <th><bold>General</bold></th>
          <th><bold>DB1</bold></th>
          <th colspan="2"><bold>DB2</bold></th>
          <th><bold>General</bold></th>
          <th><bold>DB1</bold></th>
          <th><bold>DB2</bold></th>
          <th colspan="2"><bold>General</bold></th>
          <th colspan="2"><bold>DB1</bold></th>
          <th colspan="2"><bold>DB2</bold></th>
        </tr>
      </thead>
      <tbody>
        <tr>
          <td colspan="14">Age </td>
        </tr>
        <tr>
          <td>18 ≤ Age &lt;25</td>
          <td>0.29</td>
          <td>0.34</td>
          <td colspan="2">0.14</td>
          <td>0.72</td>
          <td>0.71</td>
          <td>0.77</td>
          <td colspan="2">1.14</td>
          <td colspan="2">1.20</td>
          <td colspan="2">0.98</td>
        </tr>
        <tr>
          <td>25 ≤ Age &lt;35</td>
          <td>3.74</td>
          <td>4.64</td>
          <td colspan="2">1.13</td>
          <td>6.28</td>
          <td>5.84</td>
          <td>7.50</td>
          <td colspan="2">14.46</td>
          <td colspan="2">15.54</td>
          <td colspan="2">11.51</td>
        </tr>
        <tr>
          <td>35 ≤ Age &lt;45</td>
          <td>20.47</td>
          <td>23.39</td>
          <td colspan="2">12.02</td>
          <td>23.80</td>
          <td>24.99</td>
          <td>20.51</td>
          <td colspan="2">32.05</td>
          <td colspan="2"><bold>33.16</bold></td>
          <td colspan="2">28.97</td>
        </tr>
        <tr>
          <td>45 ≤ Age &lt;55</td>
          <td>32.47</td>
          <td>31.24</td>
          <td colspan="2">36.02</td>
          <td>32.91</td>
          <td><bold>34.39</bold></td>
          <td>28.82</td>
          <td colspan="2"><bold>33.63</bold></td>
          <td colspan="2">32.39</td>
          <td colspan="2"><bold>37.07</bold></td>
        </tr>
        <tr>
          <td>55 ≤ Age ≤65</td>
          <td><bold>43.47</bold></td>
          <td><bold>40.39</bold></td>
          <td colspan="2"><bold>50.69</bold></td>
          <td><bold>36.29</bold></td>
          <td>34.07</td>
          <td><bold>42.40</bold></td>
          <td colspan="2">18.72</td>
          <td colspan="2">17.72</td>
          <td colspan="2">21.47</td>
        </tr>
        <tr>
          <td colspan="14">Gender  </td>
        </tr>
        <tr>
          <td>Male</td>
          <td><bold>52.95</bold></td>
          <td><bold>52.19</bold></td>
          <td colspan="2"><bold>55.18</bold></td>
          <td>51.51</td>
          <td><bold>51.81</bold></td>
          <td><bold>50.70</bold></td>
          <td colspan="2"><bold>52.86</bold></td>
          <td colspan="2"><bold>60.17</bold></td>
          <td colspan="2"><bold>51.83</bold></td>
        </tr>
        <tr>
          <td>Female</td>
          <td>47.05</td>
          <td>47.81</td>
          <td colspan="2">44.82</td>
          <td>48.49</td>
          <td>48.19</td>
          <td>49.30</td>
          <td colspan="2">41.83</td>
          <td colspan="2">39.53</td>
          <td colspan="2">18.17</td>
        </tr>
        <tr>
          <td colspan="14">Educational level </td>
        </tr>
        <tr>
          <td>Less than high school</td>
          <td><bold>52.60</bold></td>
          <td><bold>50.86</bold></td>
          <td colspan="2"><bold>57.65</bold></td>
          <td><bold>49.04</bold></td>
          <td><bold>50.00</bold></td>
          <td><bold>46.41</bold></td>
          <td colspan="2"><bold>52.86</bold></td>
          <td colspan="2"><bold>50.99</bold></td>
          <td colspan="2"><bold>58.03</bold></td>
        </tr>
        <tr>
          <td>High school</td>
          <td>18.26</td>
          <td>19.77</td>
          <td colspan="2">13.88</td>
          <td>22.99</td>
          <td>23.40</td>
          <td>21.85</td>
          <td colspan="2">22.00</td>
          <td colspan="2">22.93</td>
          <td colspan="2">19.44</td>
        </tr>
        <tr>
          <td>University</td>
          <td>29.14</td>
          <td>29.37</td>
          <td colspan="2">28.47</td>
          <td>27.97</td>
          <td>26.60</td>
          <td>31.74</td>
          <td colspan="2">25.14</td>
          <td colspan="2">26.08</td>
          <td colspan="2">22.53</td>
        </tr>
        <tr>
          <td colspan="14">Marital status </td>
        </tr>
        <tr>
          <td>Single</td>
          <td>20.83</td>
          <td>9.95</td>
          <td colspan="2"><bold>52.32</bold></td>
          <td>26.80</td>
          <td>15.62</td>
          <td><bold>57.65</bold></td>
          <td colspan="2">36.18</td>
          <td colspan="2">24.61</td>
          <td colspan="2"><bold>68.19</bold></td>
        </tr>
        <tr>
          <td>Married</td>
          <td><bold>58.46</bold></td>
          <td><bold>76.21</bold></td>
          <td colspan="2">7.13</td>
          <td>54.28</td>
          <td><bold>71.64</bold></td>
          <td>6.38</td>
          <td colspan="2"><bold>48.08</bold></td>
          <td colspan="2"><bold>64.54</bold></td>
          <td colspan="2">2.57</td>
        </tr>
        <tr>
          <td>Divorced</td>
          <td>16.56</td>
          <td>9.76</td>
          <td colspan="2">36.24</td>
          <td>14.26</td>
          <td>9.43</td>
          <td>27.57</td>
          <td colspan="2">14.51</td>
          <td colspan="2">9.57</td>
          <td colspan="2">28.17</td>
        </tr>
        <tr>
          <td>Widow/widower</td>
          <td>4.14</td>
          <td>4.08</td>
          <td colspan="2">4.31</td>
          <td>4.67</td>
          <td>3.31</td>
          <td>8.40</td>
          <td colspan="2">1.23</td>
          <td colspan="2">1.28</td>
          <td colspan="2">1.07</td>
        </tr>
        <tr>
          <td colspan="14">Employment status </td>
        </tr>
        <tr>
          <td>Employed</td>
          <td><bold>53.81</bold></td>
          <td><bold>47.81</bold></td>
          <td colspan="2"><bold>56.40</bold></td>
          <td><bold>60.12</bold></td>
          <td><bold>61.10</bold></td>
          <td><bold>57.42</bold></td>
          <td colspan="2"><bold>54.22</bold></td>
          <td colspan="2"><bold>57.38</bold></td>
          <td colspan="2"><bold>45.49</bold></td>
        </tr>
        <tr>
          <td>Self-employed</td>
          <td>17.89</td>
          <td>18.21</td>
          <td colspan="2">16.97</td>
          <td>9.23</td>
          <td>10.40</td>
          <td>5.99</td>
          <td colspan="2">12.30</td>
          <td colspan="2">13.02</td>
          <td colspan="2">10.30</td>
        </tr>
        <tr>
          <td>Unemployed</td>
          <td>20.93</td>
          <td>20.04</td>
          <td colspan="2">23.50</td>
          <td>21.99</td>
          <td>20.60</td>
          <td>25.83</td>
          <td colspan="2">30.13</td>
          <td colspan="2">26.39</td>
          <td colspan="2">40.48</td>
        </tr>
        <tr>
          <td>Retired</td>
          <td>7.37</td>
          <td>8.84</td>
          <td colspan="2">3.13</td>
          <td>8.66</td>
          <td>7.90</td>
          <td>10.76</td>
          <td colspan="2">3.35</td>
          <td colspan="2">3.21</td>
          <td colspan="2">3.73</td>
        </tr>
        <tr>
          <td colspan="14">Health </td>
        </tr>
        <tr>
          <td>Good</td>
          <td><bold>69.65</bold></td>
          <td><bold>67.97</bold></td>
          <td colspan="2"><bold>74.53</bold></td>
          <td><bold>76.04</bold></td>
          <td><bold>76.24</bold></td>
          <td><bold>75.51</bold></td>
          <td colspan="2"><bold>78.88</bold></td>
          <td colspan="2"><bold>81.17</bold></td>
          <td colspan="2"><bold>72.54</bold></td>
        </tr>
        <tr>
          <td>Acceptable</td>
          <td>24.30</td>
          <td>26.810</td>
          <td colspan="2">17.06</td>
          <td>18.95</td>
          <td>18.61</td>
          <td>19.90</td>
          <td colspan="2">18.04</td>
          <td colspan="2">16.96</td>
          <td colspan="2">21.05</td>
        </tr>
        <tr>
          <td>Bad</td>
          <td>6.04</td>
          <td>5.22</td>
          <td colspan="2">8.41</td>
          <td>5.00</td>
          <td>5.15</td>
          <td>4.59</td>
          <td colspan="2">3.08</td>
          <td colspan="2">1.87</td>
          <td colspan="2">6.41</td>
        </tr>
        <tr>
          <td colspan="14">Occupational sector </td>
        </tr>
        <tr>
          <td>Management of companies and public administrations</td>
          <td><bold>21.28</bold></td>
          <td><bold>21.99</bold></td>
          <td colspan="2"><bold>19.24</bold></td>
          <td>12.81</td>
          <td><bold>15.00</bold></td>
          <td><bold>6.77</bold></td>
          <td colspan="2"><bold>12.70</bold></td>
          <td colspan="2">13.88</td>
          <td colspan="2">9.45</td>
        </tr>
        <tr>
          <td>Scientific and intellectual technicians and
          professionals</td>
          <td>11.98</td>
          <td>10.37</td>
          <td colspan="2">16.64</td>
          <td>13.03</td>
          <td>12.35</td>
          <td>14.90</td>
          <td colspan="2">11.84</td>
          <td colspan="2">12.67</td>
          <td colspan="2">9.53</td>
        </tr>
        <tr>
          <td>Technicians and support professionals</td>
          <td>9.16</td>
          <td>9.40</td>
          <td colspan="2">8.46</td>
          <td>10.59</td>
          <td>9.37</td>
          <td>13.96</td>
          <td colspan="2">9.54</td>
          <td colspan="2">9.38</td>
          <td colspan="2">9.98</td>
        </tr>
        <tr>
          <td>Administrative type Jobs</td>
          <td>10.45</td>
          <td>10.94</td>
          <td colspan="2">9.04</td>
          <td>12.22</td>
          <td>10.98</td>
          <td>15.63</td>
          <td colspan="2">10.37</td>
          <td colspan="2">9.91</td>
          <td colspan="2">11.66</td>
        </tr>
        <tr>
          <td>Catering, personal services, protection and shop assistant
          workers</td>
          <td>14.31</td>
          <td>15.18</td>
          <td colspan="2">11.81</td>
          <td>14.94</td>
          <td>15.36</td>
          <td>13.78</td>
          <td colspan="2">19.12</td>
          <td colspan="2"><bold>18.48</bold></td>
          <td colspan="2"><bold>20.89</bold></td>
        </tr>
        <tr>
          <td>Skilled workers in agriculture and fishing</td>
          <td>1.93</td>
          <td>2.10</td>
          <td colspan="2">1.45</td>
          <td>1.29</td>
          <td>1.02</td>
          <td>2.04</td>
          <td colspan="2">1.65</td>
          <td colspan="2">1.62</td>
          <td colspan="2">1.72</td>
        </tr>
        <tr>
          <td>Skilled craftsmen and skilled workers in manufacturing,
          construction and mining, except plant and machinery
          operators</td>
          <td>8.01</td>
          <td>6.39</td>
          <td colspan="2">12.69</td>
          <td>9.06</td>
          <td>10.04</td>
          <td>6.34</td>
          <td colspan="2">10.52</td>
          <td colspan="2">9.98</td>
          <td colspan="2">12.03</td>
        </tr>
        <tr>
          <td>Stationary plant and machinery operators and fitters</td>
          <td>6.51</td>
          <td>7.53</td>
          <td colspan="2">3.54</td>
          <td>9.46</td>
          <td>9.96</td>
          <td>8.09</td>
          <td colspan="2">7.82</td>
          <td colspan="2">8.54</td>
          <td colspan="2">5.82</td>
        </tr>
        <tr>
          <td>Unskilled workers</td>
          <td>14.49</td>
          <td>13.64</td>
          <td colspan="2">16.95</td>
          <td>14.54</td>
          <td>14.47</td>
          <td>14.73</td>
          <td colspan="2">15.07</td>
          <td colspan="2">14.10</td>
          <td colspan="2">17.77</td>
        </tr>
        <tr>
          <td>Armed Forces</td>
          <td>0.82</td>
          <td>1.10</td>
          <td colspan="2">0</td>
          <td>0.64</td>
          <td>0.46</td>
          <td>1.13</td>
          <td colspan="2">0.99</td>
          <td colspan="2">0.85</td>
          <td colspan="2">1.15</td>
        </tr>
        <tr>
          <td>Not recorded</td>
          <td>1.05</td>
          <td>1.35</td>
          <td colspan="2">0.18</td>
          <td>1.43</td>
          <td>0.99</td>
          <td>2.63</td>
          <td colspan="2">0.43</td>
          <td colspan="2">0.58</td>
          <td colspan="2">0.00</td>
        </tr>
      </tbody>
    </table>
  </table-wrap>
  <table-wrap id="t12"><label>Table 12</label><caption><p>Descriptive statistics of the categorical explanatory variables related to the household. Clusters Source: own elaboration based on Banco de España (2022b).</p></caption>
    <table>
      <colgroup>
        <col width="17%" />
        <col width="10%" />
        <col width="9%" />
        <col width="9%" />
        <col width="2%" />
        <col width="8%" />
        <col width="9%" />
        <col width="9%" />
        <col width="3%" />
        <col width="6%" />
        <col width="9%" />
        <col width="9%" />
      </colgroup>
      <thead>
        <tr>
          <th> </th>
          <th colspan="11"><italic><bold>% of
          households </bold></italic></th>
        </tr>
      </thead>
      <tbody>
        <tr>
          <td></td>
          <td colspan="4"><bold>Cluster 1</bold></td>
          <td colspan="4"><bold>Cluster 2</bold></td>
          <td colspan="3"><bold>Cluster 3</bold></td>
        </tr>
        <tr>
          <td></td>
          <td><bold>General</bold></td>
          <td><bold>DB1</bold></td>
          <td><bold>DB2</bold></td>
          <td colspan="2"><bold>General</bold></td>
          <td><bold>DB1</bold></td>
          <td><bold>DB2</bold></td>
          <td colspan="2"><bold>General</bold></td>
          <td><bold>DB1</bold></td>
          <td><bold>DB2</bold></td>
        </tr>
        <tr>
          <td><bold>Number of members</bold></td>
          <td> </td>
          <td></td>
          <td></td>
          <td colspan="2"></td>
          <td></td>
          <td></td>
          <td colspan="2"></td>
          <td></td>
          <td></td>
        </tr>
        <tr>
          <td>1</td>
          <td>17.82</td>
          <td></td>
          <td><bold>69.36</bold></td>
          <td colspan="2">18.92</td>
          <td></td>
          <td><bold>71.13</bold></td>
          <td colspan="2">18.41</td>
          <td></td>
          <td><bold>69.30</bold></td>
        </tr>
        <tr>
          <td>2</td>
          <td><bold>28.82</bold></td>
          <td>31.31</td>
          <td>21.60</td>
          <td colspan="2"><bold>25.09</bold></td>
          <td>27.19</td>
          <td>19.29</td>
          <td colspan="2"><bold>26.74</bold></td>
          <td>28.92</td>
          <td>20.73</td>
        </tr>
        <tr>
          <td>3 </td>
          <td>27.40</td>
          <td><bold>34.20</bold></td>
          <td>7.74</td>
          <td colspan="2">24.60</td>
          <td>30.41</td>
          <td>8.55</td>
          <td colspan="2">24.36</td>
          <td><bold>30.31</bold></td>
          <td>7.90</td>
        </tr>
        <tr>
          <td>4 </td>
          <td>20.22</td>
          <td>26.85</td>
          <td>1.03</td>
          <td colspan="2">23.33</td>
          <td><bold>31.52</bold></td>
          <td>0.71</td>
          <td colspan="2">21.85</td>
          <td>29.27</td>
          <td>1.34</td>
        </tr>
        <tr>
          <td>&gt;=5 </td>
          <td>5.74</td>
          <td>7.63</td>
          <td>0.27</td>
          <td colspan="2">8.07</td>
          <td>10.88</td>
          <td>0.33</td>
          <td colspan="2">8.64</td>
          <td>11.50</td>
          <td>0.72</td>
        </tr>
        <tr>
          <td><bold>Risk aversion</bold></td>
          <td> </td>
          <td></td>
          <td></td>
          <td colspan="2"></td>
          <td></td>
          <td></td>
          <td colspan="2"></td>
          <td></td>
          <td></td>
        </tr>
        <tr>
          <td>the household does not like to take risks</td>
          <td>78.84</td>
          <td>77.33</td>
          <td>83.22</td>
          <td colspan="2">79.98</td>
          <td>80.26</td>
          <td>79.23</td>
          <td colspan="2">76.431</td>
          <td>75.20</td>
          <td>79.82</td>
        </tr>
        <tr>
          <td>At-risk household</td>
          <td>21.16</td>
          <td>22.67</td>
          <td>16.78</td>
          <td colspan="2">20.02</td>
          <td>19.74</td>
          <td>20.77</td>
          <td colspan="2">23.57</td>
          <td>24.80</td>
          <td>21.16</td>
        </tr>
        <tr>
          <td colspan="12"><bold>Evolution of the household's future income</bold><break/></td>
        </tr>
        <tr>
          <td>Higher future income</td>
          <td>0.15</td>
          <td>0.20</td>
          <td>0</td>
          <td colspan="2">0.28</td>
          <td>0.17</td>
          <td>0.55</td>
          <td colspan="2">98.84</td>
          <td>98.67</td>
          <td>99.30</td>
        </tr>
        <tr>
          <td>Equal future income</td>
          <td>0.27</td>
          <td>0.36</td>
          <td>0</td>
          <td colspan="2">99.67</td>
          <td>99.80</td>
          <td>99.30</td>
          <td colspan="2">0.75</td>
          <td>0.87</td>
          <td>0.44</td>
        </tr>
        <tr>
          <td>Lower future income</td>
          <td>99.58</td>
          <td>99.44</td>
          <td>100</td>
          <td colspan="2">0.06</td>
          <td>0.03</td>
          <td>0.15</td>
          <td colspan="2">0.41</td>
          <td>0.46</td>
          <td>0.26</td>
        </tr>
      </tbody>
    </table>
  </table-wrap>
<table-wrap id="t13"><label>Table 13</label><caption><p>Descriptive statistics of the non-categorical explanatory variables related to the household. Clusters. Source: own elaboration based on Banco de España (2022b).</p></caption>
    <table>
      <colgroup>
        <col width="34%" />
        <col width="7%" />
        <col width="11%" />
        <col width="10%" />
        <col width="10%" />
        <col width="10%" />
        <col width="8%" />
        <col width="10%" />
      </colgroup>
      <thead>
        <tr>
          <th><italic><bold>Variable</bold></italic></th>
          <th><italic><bold>Min.</bold></italic></th>
          <th><italic><bold>Max.</bold></italic></th>
          <th><italic><bold>SD</bold></italic></th>
          <th><italic><bold>Mean</bold></italic></th>
          <th><italic><bold>Median</bold></italic></th>
          <th><italic><bold>1<sup>st</sup> Q</bold></italic></th>
          <th><italic><bold>3rd Q</bold></italic></th>
        </tr>
      </thead>
      <tbody>
        <tr>
          <td colspan="8"><italic><bold>Cluster 1</bold></italic></td>
        </tr>
        <tr>
          <td><italic><bold>General</bold></italic></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
        </tr>
        <tr>
          <td>Real assets (€)</td>
          <td>0</td>
          <td>6,740,000</td>
          <td>412,140</td>
          <td>247,056</td>
          <td>145,000</td>
          <td>45,025</td>
          <td>286,000</td>
        </tr>
        <tr>
          <td>Per capita income (€)</td>
          <td>239</td>
          <td>181,493</td>
          <td>24,084</td>
          <td>19,440</td>
          <td>12,558</td>
          <td>7,411</td>
          <td>22,031</td>
        </tr>
        <tr>
          <td>Ratio of total expenditure to total income</td>
          <td>0</td>
          <td>211.12</td>
          <td>4.51</td>
          <td>0.68</td>
          <td>0.35</td>
          <td>0.17</td>
          <td>0.63</td>
        </tr>
        <tr>
          <td>Ratio of debt to income</td>
          <td>0</td>
          <td>248.19</td>
          <td>9.23</td>
          <td>2.10</td>
          <td>0.22</td>
          <td>0</td>
          <td>1.39</td>
        </tr>
        <tr>
          <td>Ratio of debt payments to income</td>
          <td>0</td>
          <td>35.19</td>
          <td>0.47</td>
          <td>0.17</td>
          <td>0.06</td>
          <td>0</td>
          <td>0.18</td>
        </tr>
        <tr>
          <td><italic><bold>DB1</bold></italic></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
        </tr>
        <tr>
          <td>Real assets (€)</td>
          <td>0</td>
          <td>7,995,038</td>
          <td>455,263</td>
          <td>279,638</td>
          <td>166,000</td>
          <td>70,000</td>
          <td>310,000</td>
        </tr>
        <tr>
          <td>Per capita income (€)</td>
          <td>1,003</td>
          <td>196,201</td>
          <td>26,163</td>
          <td>19,177</td>
          <td>12,061</td>
          <td>7,162</td>
          <td>20,429</td>
        </tr>
        <tr>
          <td>Ratio of total expenditure to total income</td>
          <td>0</td>
          <td>2.83</td>
          <td>0.42</td>
          <td>0.52</td>
          <td>0.42</td>
          <td>0.26</td>
          <td>0.63</td>
        </tr>
        <tr>
          <td>Ratio of debt to income</td>
          <td>0</td>
          <td>83.28</td>
          <td>3.02</td>
          <td>1.24</td>
          <td>0.35</td>
          <td>0</td>
          <td>1.33</td>
        </tr>
        <tr>
          <td>Ratio of debt payments to income</td>
          <td>0</td>
          <td>2.13</td>
          <td>0.18</td>
          <td>0.14</td>
          <td>0.09</td>
          <td>0</td>
          <td>0.18</td>
        </tr>
        <tr>
          <td><italic><bold>DB2</bold></italic></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
        </tr>
        <tr>
          <td>Real assets (€)</td>
          <td>0</td>
          <td>2,656,761</td>
          <td>223,278</td>
          <td>152,475</td>
          <td>77,748</td>
          <td>5,409</td>
          <td>202,317</td>
        </tr>
        <tr>
          <td>Per capita income (€)</td>
          <td>239</td>
          <td>111,406</td>
          <td>16,520</td>
          <td>20,158</td>
          <td>15,020</td>
          <td>7,952</td>
          <td>29,610</td>
        </tr>
        <tr>
          <td>Ratio of total expenditure to total income</td>
          <td>0</td>
          <td>62.83</td>
          <td>3.76</td>
          <td>0.75</td>
          <td>0.28</td>
          <td>0.15</td>
          <td>0.60</td>
        </tr>
        <tr>
          <td>Ratio of debt to income</td>
          <td>0</td>
          <td>335.11</td>
          <td>8.26</td>
          <td>1.6</td>
          <td>0.13</td>
          <td>0</td>
          <td>1.21</td>
        </tr>
        <tr>
          <td>Ratio of debt payments to income</td>
          <td>0</td>
          <td>48.61</td>
          <td>2.37</td>
          <td>0.27</td>
          <td>0.02</td>
          <td>0</td>
          <td>0.18</td>
        </tr>
        <tr>
          <td colspan="8"><italic><bold>Cluster 2</bold></italic></td>
        </tr>
        <tr>
          <td><italic><bold>General</bold></italic></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
        </tr>
        <tr>
          <td>Real assets (€)</td>
          <td>0</td>
          <td>10,462,00</td>
          <td>361,373</td>
          <td>223,657</td>
          <td>143,000</td>
          <td>60,000</td>
          <td>270,000</td>
        </tr>
        <tr>
          <td>Per capita income (€)</td>
          <td>0</td>
          <td>124,916</td>
          <td>12,324</td>
          <td>16,178</td>
          <td>12,682</td>
          <td>7,959</td>
          <td>20,391</td>
        </tr>
        <tr>
          <td>Ratio of total expenditure to total income</td>
          <td>0</td>
          <td>33,600</td>
          <td>635.29</td>
          <td>25.15</td>
          <td>0.32</td>
          <td>0.17</td>
          <td>0.61</td>
        </tr>
        <tr>
          <td>Ratio of debt to income</td>
          <td>0</td>
          <td>220,000</td>
          <td>1,590</td>
          <td>28.16</td>
          <td>0.23</td>
          <td>0</td>
          <td>1.50</td>
        </tr>
        <tr>
          <td>Ratio of debt payments to income</td>
          <td>0</td>
          <td>17,412</td>
          <td>269.20</td>
          <td>7.45</td>
          <td>0.07</td>
          <td>0</td>
          <td>0.18</td>
        </tr>
        <tr>
          <td><italic><bold>DB1</bold></italic></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
        </tr>
        <tr>
          <td>Real assets (€)</td>
          <td>0</td>
          <td>12,424,638</td>
          <td>361,553</td>
          <td>237,216</td>
          <td>154,216</td>
          <td>70,200</td>
          <td>300,000</td>
        </tr>
        <tr>
          <td>Per capita income (€)</td>
          <td>209</td>
          <td>124,916</td>
          <td>11,214</td>
          <td>14,879</td>
          <td>11,936</td>
          <td>7,699</td>
          <td>18,501</td>
        </tr>
        <tr>
          <td>Ratio of total expenditure to total income</td>
          <td>0</td>
          <td>24.13</td>
          <td>0.78</td>
          <td>0.51</td>
          <td>0.33</td>
          <td>0.18</td>
          <td>0.57</td>
        </tr>
        <tr>
          <td>Ratio of debt to income</td>
          <td>0</td>
          <td>124.47</td>
          <td>3.48</td>
          <td>1.31</td>
          <td>0.28</td>
          <td>0</td>
          <td>1.44</td>
        </tr>
        <tr>
          <td>Ratio of debt payments to income</td>
          <td>0</td>
          <td>8.04</td>
          <td>0.31</td>
          <td>0.15</td>
          <td>0.07</td>
          <td>0</td>
          <td>0.17</td>
        </tr>
        <tr>
          <td><italic><bold>DB2</bold></italic></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
        </tr>
        <tr>
          <td>Real assets (€)</td>
          <td>0</td>
          <td>17,793,17</td>
          <td>204,738</td>
          <td>155,896</td>
          <td>105,000</td>
          <td>15,300</td>
          <td>185,000</td>
        </tr>
        <tr>
          <td>Per capita income (€)</td>
          <td>0</td>
          <td>94,185</td>
          <td>14,344</td>
          <td>19,761</td>
          <td>15,945</td>
          <td>9,470</td>
          <td>25,365</td>
        </tr>
        <tr>
          <td>Ratio of total expenditure to total income</td>
          <td>0</td>
          <td>16,716</td>
          <td>632</td>
          <td>38.32</td>
          <td>0.33</td>
          <td>0.19</td>
          <td>0.60</td>
        </tr>
        <tr>
          <td>Ratio of debt to income</td>
          <td>0</td>
          <td>70,000</td>
          <td>2,382</td>
          <td>88.78</td>
          <td>0.06</td>
          <td>0</td>
          <td>1.34</td>
        </tr>
        <tr>
          <td>Ratio of debt payments to income</td>
          <td>0</td>
          <td>16,248</td>
          <td>399</td>
          <td>16.40</td>
          <td>0.04</td>
          <td>0</td>
          <td>0.20</td>
        </tr>
        <tr>
          <td colspan="8"><italic><bold>Cluster 3</bold></italic></td>
        </tr>
        <tr>
          <td><italic><bold>General</bold></italic></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
        </tr>
        <tr>
          <td>Real assets (€)</td>
          <td>0</td>
          <td>7,185,208</td>
          <td>315,794</td>
          <td>173,100</td>
          <td>109,182</td>
          <td>350</td>
          <td>217,000</td>
        </tr>
        <tr>
          <td>Per capita income (€)</td>
          <td>0</td>
          <td>90,591</td>
          <td>10,307</td>
          <td>13,347</td>
          <td>10,822</td>
          <td>6,763</td>
          <td>16,606</td>
        </tr>
        <tr>
          <td>Ratio of total expenditure to total income</td>
          <td>0</td>
          <td>41,520</td>
          <td>846.64</td>
          <td>51.62</td>
          <td>0.34</td>
          <td>0.17</td>
          <td>0.69</td>
        </tr>
        <tr>
          <td>Ratio of debt to income</td>
          <td>0</td>
          <td>340,000</td>
          <td>6,804</td>
          <td>322.49</td>
          <td>0.35</td>
          <td>0</td>
          <td>2.40</td>
        </tr>
        <tr>
          <td>Ratio of debt payments to income</td>
          <td>0</td>
          <td>29,520</td>
          <td>485.55</td>
          <td>22.52</td>
          <td>0.08</td>
          <td>0</td>
          <td>0.27</td>
        </tr>
        <tr>
          <td><italic><bold>DB1</bold></italic></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
        </tr>
        <tr>
          <td>Real assets (€)</td>
          <td>0</td>
          <td>7,185,208</td>
          <td>348,547</td>
          <td>195,551</td>
          <td>120,000</td>
          <td>10,000</td>
          <td>230,000</td>
        </tr>
        <tr>
          <td>Per capita income (€)</td>
          <td>0</td>
          <td>84,562</td>
          <td>9,624</td>
          <td>13,072</td>
          <td>10,792</td>
          <td>6,841</td>
          <td>16,140</td>
        </tr>
        <tr>
          <td>Ratio of total expenditure to total income</td>
          <td>0</td>
          <td>26,000</td>
          <td>570</td>
          <td>15.25</td>
          <td>0.33</td>
          <td>0.18</td>
          <td>0.60</td>
        </tr>
        <tr>
          <td>Ratio of debt to income</td>
          <td>0</td>
          <td>82,000</td>
          <td>1,006</td>
          <td>17.59</td>
          <td>0.49</td>
          <td>0.01</td>
          <td>2.54</td>
        </tr>
        <tr>
          <td>Ratio of debt payments to income</td>
          <td>0</td>
          <td>5,160</td>
          <td>86.63</td>
          <td>2.27</td>
          <td>0.09</td>
          <td>0</td>
          <td>0.24</td>
        </tr>
        <tr>
          <td><italic><bold>DB2</bold></italic></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
          <td></td>
        </tr>
        <tr>
          <td>Real assets (€)</td>
          <td>0</td>
          <td>6,328,312</td>
          <td>184,477</td>
          <td>110,467</td>
          <td>50,000</td>
          <td>0</td>
          <td>1,500,00</td>
        </tr>
        <tr>
          <td>Per capita income (€)</td>
          <td>0</td>
          <td>104,841</td>
          <td>17,269</td>
          <td>15,914</td>
          <td>11,007</td>
          <td>6,701</td>
          <td>19,354</td>
        </tr>
        <tr>
          <td>Ratio of total expenditure to total income</td>
          <td>0</td>
          <td>26,000</td>
          <td>1,290</td>
          <td>132.12</td>
          <td>0.40</td>
          <td>0.21</td>
          <td>0.74</td>
        </tr>
        <tr>
          <td>Ratio of debt to income</td>
          <td>0</td>
          <td>127,401</td>
          <td>3,647</td>
          <td>234.31</td>
          <td>0.08</td>
          <td>0</td>
          <td>1.52</td>
        </tr>
        <tr>
          <td>Ratio of debt payments to income</td>
          <td>0</td>
          <td>9,360</td>
          <td>410</td>
          <td>31.37</td>
          <td>0.03</td>
          <td>0</td>
          <td>0.24</td>
        </tr>
      </tbody>
    </table>
  </table-wrap>

</app>
</app-group>
</back>
</article>
