2.1 Institutional framework of the Netherlands

This paper exploits detailed consumption spending and time use data from the Netherlands. In the Netherlands, households receive relatively generous public pensions at retirement and face high mandatory savings through occupational pensions. As in many European countries, the Dutch pension system consists of three pillars. The first is a pay-as-you-go system and involves a flat-rate public pension benefit for all residents as from the statutory retirement age (SRA). Prior to 2013, this SRA was set at age 65 and was the same for everyone. As of January 1, 2013, the SRA has been gradually increased. For details of the SRA for the different cohorts, we refer to Table 1. Those who would have been within 2 years of their SRA in the old regime only had about 3.5–6.5 months to adjust their behavior between the announcement of the reform and the reform taking effect.Footnote ¹⁰

Table 1. Step-wise increase of the statutory retirement age as introduced in 2013

Flexible take-up of the state pension, either before or after the SRA, is not possible in the Netherlands. This is in contrast with the US where benefits can be claimed before and after the full retirement age as long as benefits are claimed from the age of 62 and no later than the age of 70 (Duggan et al., Reference Duggan, Singleton and Song2007). The second pillar consists of capital-funded occupational pensions, of which the primary responsibility lies with employers and employees. Around 90% of all employees have a mandatory pension scheme with their employer. The third pillar is formed by private individual pension products (such as life annuities) and other private savings. Knoef et al. (Reference Knoef, Been, Alessie, Caminada, Goudswaard and Kalwij2016) analyze Dutch pension savings using a large administrative dataset. When only public and occupational pensions are considered (on average roughly two-third of total wealth), Knoef et al. (Reference Knoef, Been, Alessie, Caminada, Goudswaard and Kalwij2016) find a median net replacement rate of 84%. When private pensions, private savings, and housing wealth are also included, they find a median net replacement rate of roughly 100%. The authors stress that there is a lot of heterogeneity in pension income at retirement, but mostly in absolute levels (euros) and less so in (net) replacement rates.

2.2 LISS data

We use data from the LISS panel (Longitudinal Internet Studies for the Social sciences) administered by CentERdata at Tilburg University. The annual core waves consist of 5,000 representative households (about 8,000 individuals) in the Netherlands. These households are followed over the time period 2008–2019. The LISS Background Variables were supplemented with an additional module on Time Use and Consumption in the 2009, 2010, 2012, 2015, 2017, and 2019 waves and an additional module on Economics Assets related to Income in the 2008–2019 waves. The Time Use and Consumption module is used by, among others, Cherchye et al. (Reference Cherchye, De Rock and Vermeulen2012, Reference Cherchye, Demuynck, De Rock and Vermeulen2017) and Boerma and Karabarbounis (Reference Boerma and Karabarbounis2019).

For the empirical analysis, we select only household headsFootnote ¹¹ following Aguiar and Hurst (Reference Aguiar and Hurst2005) and keep those household heads aged 55–75Footnote ¹² who report not to depend on unemployment or sickness/disability benefits.Footnote ¹³,Footnote ¹⁴ Household heads are the main income earner in multiple-member households. Following prior analyses by, e.g., Aguiar and Hurst (Reference Aguiar and Hurst2005), Aguila et al. (Reference Aguila, Attanasio and Meghir2011), and Luengo-Prado and Sevilla (Reference Luengo-Prado and Sevilla2012), we leave any interaction in time use decisions between spouses, as analyzed by Rogerson and Wallenius (Reference Rogerson and Wallenius2019), for future research but explicitly take into account the different structures of the households in the sensitivity analysis. Using only household heads reduces issues regarding within-household interactions.

Table A1 provides summary statistics of the variables used in the empirical analysis. Moreover, it indicates the availability of variables in the different years of the LISS panel. The Time Use and Consumption survey considers spending categories at the household level (e.g., mortgage, utilities, etc.) and spending categories for personal use and children (e.g., clothing, personal care, etc.). Note that the LISS Time Use and Consumption data only consider non-durable consumption spending. We construct households' personal spending categories by adding these categories up to the household level. We construct total (non-durable) household spending by adding up all categories, household- and personal spending, to the household level. We set missing observations in spending categories to zero for those households who reported at least total household spending (which is asked after all the separate categories – see Appendix A). This assumes that respondents who reported total spending but did not respond to a particular category have zero expenditures in this category despite explicitly being asked to enter a zero in such cases. This approach ensures the same number of observations in all household spending categories. We do the same for personal spending categories. However, the number of observations per personal spending category can be different as the disaggregated categories are only available in the 2009, 2010, and 2012 waves. Nonetheless, the aggregate of total personal spending is asked in every wave.

Time use categories are either available in all waves (like paid work and commuting) or are missing in 2015 and 2017 waves (like home production and leisure time). We refer to Appendix A for details on the survey questions asked to the respondents.

Although the LISS data are only one of two longitudinal data sets (the other being HRS/CAMS) with information on spending and time use categories that go beyond food spending and cooking, it has two main shortcomings. First, both spending and time use are recall data and are not elicited through spending- and time-diaries. This may introduce some recall bias in the responses. However, it is unlikely that such a recall bias will introduce substantial biases in our analyses. In the case of RD, the recall bias does not induce any problems as long as it is, on average, similar to those right before and those right after the discontinuity. In the case of FE, the recall bias does not induce any problems as long as this recall bias is consistent within individuals over time. Second, given that the LISS is a general-purpose survey, there were limits on the level of detail and, hence, survey time that could be spent on eliciting time use and spending. The categorization of the data in 21 spending and 13 time use categories may mean that we miss some relevant categories as well as subtleties within these categories. The first may mean that we miss some relevant categories of home production, leisure, and substitutable or complementary spending which leads to an underestimation of the interactions. The latter means that our analysis conceals some shifts within spending categories at retirement, such as work clothing (decreases) versus leisure clothing (increases). Lastly, the data's level of detail is such that we cannot distinguish between the consumption and leisure components of home production. We, therefore, assume that home production does not include a leisure component (i.e., gardening can be considered a hobby for some). For discussions, see Pollak and Watcher (Reference Pollak and Watcher1975) and Kerkhofs and Kooreman (Reference Kerkhofs and Kooreman2003). Due to the limited level of detail of the data, we may not capture all the subtleties in the changing compositions of spending and time use at retirement.

2.3 Discontinuities at the retirement age

Our empirical methodology, as outlined in Section 3.2, assumes that retirement is induced by the institutionally set SRA which is cohort-specific as of January 2013. This implies that there should be a discontinuous jump in the probability of retirement upon reaching the SRA.

Prior evidence has shown that households are very responsive to the (change in) institutional retirement age which causes a discontinuous probability in retirement right before and right after reaching the SRA.Footnote ¹⁵ This includes evidence specific to the Netherlands.Footnote ¹⁶ In the Netherlands, people have a strong incentive to retire at the (non-flexible) SRA, because it provides a substantial amount of total available pension income (Knoef et al., Reference Knoef, Been, Alessie, Caminada, Goudswaard and Kalwij2016). Retiring earlier than the SRA implies that one does not receive state pension benefits up to reaching the SRA. Early retirement schemes have been abolished as of 2005 which has made retirement before the SRA very unattractive. Retiring later than the SRA does not actuarially increase the state pension benefits. Graphical evidence of the discontinuous probability to retire at the SRA is provided in Figure 1.

Figure 1. Retirement (fraction) by age minus statutory retirement age.Footnote ²⁵ Notes: Lower- and upper bounds of the 95% interval are presented in light gray lines.

As of 2013, we observe the exact date at which respondents are eligible for state pensions according to the reform. We base the SRA of the respondents on this information. This allows us to study age in months. However, we have no information on the exact birth data prior to 2013. Since the panel is unbalanced, measuring age in months instead of years decreases the number of observations. Therefore, we present age measured in years in our baseline RD and show that results are robust to different measures of age and the cutoff-point in Table 2. First, results are robust to using the fixed age of 65 as a cutoff-point (Table 2). In Appendix E we show that the age of 65 remains an important point of reference for the expected retirement age consistent with Vermeer et al. (Reference Vermeer, Van Rooij and Van Vuuren2019) who find strong anchoring of retirement behavior at the age of 65. This is confirmed by only using the period prior to 2013 in the analysis in which 65 was the SRA for all respondents (Table 2). Second, using age measured in months does not alter our main conclusions (Table 2). In Appendix E we show that much of the bunching of retirement age expectations takes place at age 65, 67, and 68 which means that the exact identification of months between 65 and 67 may be of little importance. Third, using approaches that are less vulnerable to details of age and cutoff measures, such as ‘donut’ RD (Table 2) and Fixed Effects (FE) regression (Tables 3–5), does not alter our main conclusions.

Table 2. Sensitivity to sample and definitions of retirement

*Significant at the 10% level, ** at the 5% level, and *** at the 1% level. Amounts are expressed in 2015 euros. Control variables are included.

Table 3. Estimation results of the effect of retirement on household spending

*Significant at the 10% level, ** at the 5% level, and *** at the 1% level. Amounts are expressed in 2015 euros. Control variables are included.

a Other types of household consumption spending categories.

b The total of household consumption spending categories.

c Includes the total of household consumption spending categories and the total of personal consumption spending categories summed to the household level.

Table 4. Estimation results of the effect of retirement on personal spending at the household level

*Significant at the 10% level, ** at the 5% level, and *** at the 1% level. Amounts are expressed in 2015 euros. Control variables are included.

Table 5. Estimation results of the effect of retirement on time use

*Significant at the 10% level, ** at the 5% level, and *** at the 1% level. Amounts are expressed in 2015 euros. Control variables are included.

In Figure 1, we observe that the percentage of respondents that is retired is about 30%-points higher at the SRA than prior to reaching the SRA. Ninety-five percent confidence intervals are shown and suggest that the jump is statistically significant. Although the percentage of retirees increases over age, this year-to-year increase is never bigger than upon reaching the SRA. This visual evidence indicates that Dutch households are responsive to the SRA. However, not all persons are retired after the SRA. After reaching the SRA, we observe that about 20% of the respondents have not yet retired.Footnote ¹⁷ Since the state pension only provides a minimum substance level, some people want to continue working after the retirement age, especially if their occupational pension income is low. Others may want to keep working, because of non-financial reasons. Dutch labor law allows people to work after the SRA with the main benefit that these workers no longer have to pay pension contributions and, thus, have a lower total tax burden.

In Figures 2–4, we show people's responses in total spending, home production, and leisure upon reaching the SRA. Ninety-five percent confidence intervals are presented to give an impression of the statistical significance of the change upon reaching the SRA. In Figure 2, the results suggest that there is no significant change in the level of total spending (in euros per month) at the SRA (confidence intervals before and after the SRA overlap). This visual evidence corroborates the LCM which suggests that agents smooth consumption over the life-cycle. Similarly, the graphical evidence in Table 4 suggests that home production (in hours per week) does not significantly increase at the SRA. Only leisure time (in hours per week) increases significantly upon reaching the SRA (the upper bound of the confidence interval before reaching the SRA is below the lower bound of the confidence interval upon reaching the SRA). However, these results should be interpreted with caution as no causal claims can be made on the basis of these figures. In Section 3, we provide a comprehensive empirical approach that allows us to make causal claims.

Figure 2. Average total household consumption spending (euros per month) by age. Notes: Lower- and upper bounds of the 95% interval are presented in light gray lines.

Figure 3. Average home production (hours per week) by age. Notes: Lower- and upper bounds of the 95% interval are presented in light gray lines.

Figure 4. Average leisure time (hours per week) by age. Notes: Lower- and upper bounds of the 95% interval are presented in light gray lines.

In Appendix B, we visually show that background characteristics do not jump upon reaching the SRA. Additionally, we show the McCrary test (McCrary, Reference McCrary2008) in Figure B7. We do not find a discrete jump in responses to spending questions at the SRA. If anything, the figure suggests a jump in responses about 2 years before the SRA. The figure suggests that retirees are more likely to participate in the survey. Since our data are a panel and not a cross-section, this may pose less of a threat to the identification of the RD than suggested by McCrary (Reference McCrary2008) as most respondents are observed before and after reaching the SRA. Since FE estimation is possible with panel data and is less vulnerable to this issue, it is an important empirical approach to corroborate our findings.

4.1 Total spending and household spending categories

The estimated effects of retirement on household-level consumption categories are presented in Table 3. We present the results for naïve OLS estimation, RD (like Stancanelli and Van Soest, Reference Stancanelli and Van Soest2012), and FE (like Luengo-Prado and Sevilla, Reference Luengo-Prado and Sevilla2012).

Regardless of the estimation method, we do not find a significant drop in households' total consumption spending (the sum of household-level categories and personal-level categories summed to the household level). In the FE-specification, we even find a very small but just-significant increase in total spending. Changing definitions of total spending, for example, by excluding spending on mortgage payments, rent, interest on debt, alimony, and general utilities (these spending categories are relative inflexibility to adjust), does not alter the main conclusions. Considering a total spending category excluding these categories shows that retirement increases total spending (non-significantly) by 170 euros which is close to the 163 euros from our baseline estimates.

In our preferred RD-specification, we find significant increases in spending on food at home (about 61 (19%) euros per month) and spending on vacations/trips (43 (36%) euros per month) only. These results are corroborated by the FE-specification though estimated effects tend to be smaller in the FE-specification. The increase in food at home spending might suggest increases in home production at retirement. We investigate this further by analyzing spending on food outside of the home in Section 4.2 and time spent on home production in Section 4.3. We find little to no evidence for spending categories that decrease at retirement. Although spending on transport is likely to decrease at retirement, our definition of transport costs does not explicitly exclude leisure-related use of transport. Therefore, the lack of decreases found in transport costs might be explained by leisure-complementary spending. Similarly, the increased spending on vacations/trips may represent leisure-complementary spending. However, we should remain careful in interpreting the coefficients of the spending categories as true null-effects, because standard errors are substantive in many categories.

For the full estimation results of the most important household-level spending categories, we refer to Tables C1 and C2.

4.2 Personal spending categories at the household level

The estimated effects of retirement on personal-level consumption categories are presented in Table 4. Similar to the total of consumption spending and the total of household-level spending (Table 3), we find no drop in total personal-level spending at retirement. Neither do we find substantial changes in personal-level spending patterns at retirement in our preferred RD-specification.

Interestingly, we find no significant decreases in spending on food outside of the home at retirement although this type of spending can be replaced by home production in the form of home cooking. We find increases in home cooking (see Table 3), but this apparently does not replace food outside of the home, contrasting the findings by Aguiar and Hurst (Reference Aguiar and Hurst2005) for US households. Explicitly estimating the effect of retirement on food out relative to food in shows a decrease, but this decrease is not significant and suggests an absence of substitution between food outside the home and food at home spending.Footnote ²⁰ We further analyze home production at retirement using time use information in Section 4.3.

Unlike household-level leisure spending (e.g., vacations/trips), we find no significant increases in personal-level leisure spending. This may suggest leisure-time complementarities between spouses at retirement consistent with Stancanelli and Van Soest (Reference Stancanelli and Van Soest2012). This is further corroborated by the heterogeneity analysis we present in Table 6 in which we show that leisure time is primarily increased among couples. By focusing on leisure-complementary spending and adding the spending categories of vacations, food out, and personal leisure spending to one category shows that retirement significantly increases total leisure-complementary spending by about 104 euros per month.Footnote ²¹ Therefore, most of the (non-significant) increase in total spending (163 euros) we find is due to increased spending on leisure-complementary goods and services.

Table 6. Heterogeneous effects of retirement on spending and time use

*Significant at the 10% level, ** at the 5% level, and *** at the 1% level. Amounts are expressed in 2015 euros. Control variables are included. Low income is below the p25 which is the bottom quartile of gross income of non-retirees aged 55–75: 1,500 euros per month. p75 is the top quartile of gross income of non-retirees aged 55–75: 3,500 euros per month.

We find no drops in personal work-related expenditures, such as clothing. This is consistent with the absence of finding significant decreases in transport costs. However, our level of detail is too aggregated to identify whether clothing spending is related to work or leisure. Therefore, not finding a change in clothing might also suggest complementarities between this category and leisure up to some extent. Again, we should remain careful in interpreting the coefficients of the spending categories as true null-effects, because standard errors are substantive in many categories.

For the full estimation results of the most important personal-level spending categories, we refer to Tables C1 and C2.

4.3 Time use categories

In Table 5, we present the estimated effects of retirement on time use categories. Compared to our estimates for spending categories, estimates for time use are much more precise. For our preferred RD-specification, we find that paid working hours decrease by about 28 hours per week at retirement which is a decrease of about 100%. Similarly, commuting time decreases by about 3 hours per week (100%) at retirement. Many of the hours related to work and commuting are reallocated toward leisure, personal- and informal care, and home production. In our preferred RD-estimation, we find an increase in pure leisure time (excluding sleeping/resting) of about 14 hours per week (38%). The increase in leisure at retirement is about 50% of the foregone work hours. Similarly, home production increases by about 6.5 hours per week (47%) and absorbs about a quarter of all foregone working hours. This is consistent with using the intensive margin of labor supply instead of a retirement dummy (Table 2, work hours). These effects are corroborated by the FE-specification though estimated effects are smaller.

Despite the substantial increase in time spent on home production at retirement, we do not find decreases in replaceable spending categories (cleaning, food out) in Tables 3 and 4. This suggests that retirees do not replace spending categories, but increase home production without replacing spending categories. Increasing home production without replacing spending is likely due to having more non-work time available at retirement. This is consistent with our estimation results regarding spending on home cooking and food outside of the home in Tables 3 and 4, respectively. These results show increases in food at home without any decreases in food out. To explain these results, it should be noted that food out has a strong leisure component in the Netherlands. Therefore, food at home and food out may not be perfect substitutes and the lack of decreases in food out spending is most likely explained by the fact that food out spending is leisure-complementary. Our results largely contrast the findings of Aguiar and Hurst (Reference Aguiar and Hurst2005) for US retirees, because we find no clear substitution between spending and home production for Dutch retirees. The shift toward more leisure-complementary spending and the increases in home production suggest that well-being might even increase at retirement.

For the full estimation results of the most important categories, we refer to Tables C1 and C2.

4.4 Sensitivity

In Table 2, we analyze the robustness of our results to different retirement definitions. This sensitivity analysis shows that the main effects found in the preferred baseline RD-estimation in Tables 3–5 are also found for the sample of reported time use in home production, full retirees, and (full-time) paid workers prior to retirement. Using an intensive labor supply measure instead of an extensive labor supply measure in the form of paid working hours does not change our main conclusions either.

To show the robustness of the RD-specification we also use ‘donut RD’ (i.e., Barreca et al., Reference Barreca, Guldi, Lindo and Waddell2011) where we do not take into account the observations within one year of the SRA. Also, we reduce the age-window to respondents aged 60–70 to investigate the robustness of the RD results. A final check is to use 65 as a fixed SRA and only using the period prior to 2013 in which the SRA was 65 for all cohorts. All approaches give results similar to our baseline RD in Tables 3–5. Using age measured in months instead of years reduces the number of observations substantially by mostly leaving out pre-2013 respondents. This may drive the slightly changing coefficients and significance, although using age measured in months does not alter the main conclusions of the paper.

In Appendix D Table D2, we also present the estimation results if we use lags of responses in spending and time use, log-transformed dependent variables, and IV-Tobit estimation. These estimates do not change our main conclusions. However, considering spending and time use categories at time t + 1 to account for a potential lack of immediate effects of retirement suggests that changes in spending behavior at retirement may take a longer adjustment period.

In Appendix E, we shed more light on the smoothing of consumption at retirement by analyzing respondents' subjective expectations regarding consumption and income as well as objective measures of gross and net income. The empirical evidence in Table E1 suggests that gross monthly income does not change at retirement whereas net monthly income increases by about 8%. Respondents do not expect a decrease in income and consumption opportunities at retirement, but they are positively surprised by their financial situation at retirement. These additional results are consistent with the simulated net replacement rates of about 100% for at least half of the Dutch households (Knoef et al., Reference Knoef, Been, Alessie, Caminada, Goudswaard and Kalwij2016) and corroborate our lack of drops in total spending at retirement.

4.5 Heterogeneity

In Table 6, we present the estimation results for a range of subsamples in order to identify the extent to which our main results are representative of different groups of households. The effects of retirement on spending are remarkably homogeneous among the defined subsamples, even for potentially vulnerable groups such as women, singles, low-educated, immigrants, and liquidity-constrained (i.e., renting/those with debt). This is consistent with Knoef et al. (Reference Knoef, Been, Alessie, Caminada, Goudswaard and Kalwij2016), who show that vulnerable groups have median replacement rates that are relatively close to the population's average. Nonetheless, there is, of course, substantial heterogeneity in the level of spending between aforementioned groups. The results for the subgroups should, however, be interpreted with caution because, spending categories are often estimated relatively imprecisely due to the large variation in responses.

For time use, which is estimated more precisely than spending, we find more heterogeneity among the subgroups. We especially find substantial differences in home production and leisure between gender, couples/singles, and high/low income. Interestingly, respondents who are a couple report bigger increases in leisure time and spending on vacations which corroborate our earlier suggestion that joint leisure may be important in spending and time use decisions. Our main conclusions regarding the lack of total spending drops, the lack of substitution between spending and home production, and complementariness in leisure-related spending are largely confirmed for these subsamples of households.

Knoef et al. (Reference Knoef, Been, Alessie, Caminada, Goudswaard and Kalwij2016) and Been and Knoef (Reference Been and Knoef2017) also indicate that the self-employed are potentially vulnerable due to a potential lack of occupational pension accumulation and a bad labor market position at older ages. Unfortunately, our number of self-employed is too small to do estimates on this subsample. However, by performing estimates with an interaction between retirement and self-employment at time t–1, we observe very little heterogeneity between paid employed and self-employed. This suggests that, on average, self-employed are also able to smooth consumption without substituting toward home production.

5.1 The Life-Cycle Model of Rogerson and Wallenius (Reference Rogerson and Wallenius2016)

The LCM of Rogerson and Wallenius (Reference Rogerson and Wallenius2016) makes two important assumptions regarding the parameterization of the model and the retirement decision. First, they assume that agents maximize the following CES utility function with the usual properties over the life-cycle

(7)$$U = \mathop \sum \limits_{t = 0}^T ( {1 + \delta } ) ^{{-}t}\left[{u( {c_t} ) + \theta \displaystyle{{l_t^{1-( {1/\gamma } ) } } \over {1-( {1/\gamma } ) }}} \right]$$

with

(8)$$c_t = [ {ac_{mt}^{( {\eta -1} ) /\eta } + ( {1-a} ) h_{nt}^{( {\eta -1} ) /\eta } } ] ^{\eta /( {\eta -1} ) }$$

subject to the intertemporal budget constraint

(9)$$\mathop \sum \limits_{t = 0}^T \displaystyle{{c_{mt}} \over {{( {1 + \rho } ) }^t}} = \mathop \sum \limits_{t = 0}^T \displaystyle{{y_t} \over {{( {1 + \rho } ) }^t}}$$

and time budget constraint

(10)$$l_t = T-h_{mt}-h_{nt}.$$

Here, c _t is consumption in period t = 0, …, T, l _t is hours of leisure, δ ≥ 0 the rate of time preference, 0 ≤ θ ≤ 1 the weight the agent gives to leisure, c _mt is consumption spending, h _nt time spent on home production, a the relative weights given to spending and home production, ρ = δ is the interest rate assumed to be equal to the time preference, h _mt time spent on market work, T is the total time endowment in period t normalized to one, and y _t the income received in period t which depends on h _mt and a fixed wage b.

The parameters that Rogerson and Wallenius (Reference Rogerson and Wallenius2016) are primarily interested in are γ and η. γ is the intertemporal elasticity of substitution for leisure and determines the curvature of the utility function. γ = 0 yields full intertemporal smoothing. Higher values of γ imply less smoothing. η is the intratemporal elasticity of substitution between c _mt and h _nt and determines the extent to which expenditures are replaced by home production. η = 1 yields no intratemporal smoothing by home production. η → ∞ yields full intratemporal smoothing. In the case that 0 < η < 1, home production and spending are complements instead of substitutes.

Second, the LCM of Rogerson and Wallenius (Reference Rogerson and Wallenius2016) assumes that the retirement decision is certain and abrupt. Hence, there is no room for uncertainty in the retirement decision or gradual retirement. Therefore, it is assumed that the employed work is a fixed number of hours h _mt = h ^F. Only interior solutions for l _t and h _nt are considered.

Agents choose c _mt and h _nt to maximize Equation (7) subject to Equations (9) and (10). Rogerson and Wallenius (Reference Rogerson and Wallenius2016) show that substituting Equation (10) in Equation (7), calculating the Lagrangian, dividing the two first-order conditions for intertemporal substitution and intratemporal substitution, taking logs, and considering t = {w, r} with w employed and r retired gives the following expression for the ratio of γ and η:Footnote ²³

(11)$$\displaystyle{\gamma \over \eta } = \displaystyle{{{\rm log}( {( {1-h_r^n } ) /( {1-h^F-h_w^n } ) } ) } \over {\log ( {\;c_w^m /\;c_r^m } ) -{\rm log}( {h_w^n /h_r^n } ) }}.$$

This equation provides an expression for the ratio between the intertemporal elasticity of substitution for leisure, γ, and the intratemporal elasticity of substitution between spending and home production, η. More specifically, Equation (11) shows that the ratio between γ and η equals the relative change in leisure time divided by the difference between the relative change in consumption expenditure and the relative change in time spent on home production. By using empirical observations of US households from Hurd and Rohwedder (Reference Hurd and Rohwedder2005, Reference Hurd and Rohwedder2007), Rogerson and Wallenius (Reference Rogerson and Wallenius2016) estimate a ratio of 0.92. An important conclusion from this ratio is that commonly assumed values in the literature for γ (0.4) and η (2.0) are inconsistent with this ratio. One of the explanations mentioned by Rogerson and Wallenius (Reference Rogerson and Wallenius2016) is that η might be much smaller than generally assumed for US households, which is consistent with recent evidence from Been et al. (Reference Been, Rohwedder and Hurd2021) who show that only parts of total spending are replaced by home production among US households at retirement.

5.2 Implied parameters of the Life-Cycle Model

According to our preferred RD model in Table 5, retirement increases time spent on leisure and home production by about 38% and 47%, respectively. Table 3 indicates that total consumption spending does not change at retirement. These results give

$${\rm log}( {( {1-h_r^n } ) /( {1-h^F-h_w^n } ) } ) = \log ( {1.38} ) $$

$$\log ( {\;c_w^m /\;c_r^m } ) = \log ( {1.00} ) $$

$${\rm log}( {h_w^n /h_r^n } ) = \log ( {0.68} ) .$$

Inserting these results in Equation (11) gives

(12)$$\gamma /\eta = 0.82, \;$$

which is close to the estimates of Rogerson and Wallenius (Reference Rogerson and Wallenius2016) of γ/η = 0.92 for US households.Footnote ²⁴ Contrasting our causal estimates of the effect of retirement on spending, home production and leisure, we should note that the empirical observations in Rogerson and Wallenius (Reference Rogerson and Wallenius2016) are based on summary statistics from cross-sectional time use data from Hurd and Rohwedder (Reference Hurd and Rohwedder2007) which cannot be interpreted causally.

Although the ratio is very similar for Dutch and US households, Dutch households do not face spending drops at retirement on average. Based on this cross-country comparison, we conclude that the intertemporal elasticity of substitution for leisure is most likely larger among Dutch households. More so, because we find no empirical evidence for intratemporal substitution between spending and home production. This suggests that η may be close to one and, hence, smaller than η estimated for US households (Aguiar and Hurst, Reference Aguiar and Hurst2007). This has two important implications. First, γ is most likely below unity for Dutch households. This finding is consistent with stated preference evidence of the Netherlands from Kapteyn and Teppa (Reference Kapteyn and Teppa2003), although our revealed preferences estimate is closer to one, i.e., less intertemporal smoothing than suggested by Kapteyn and Teppa (Reference Kapteyn and Teppa2003). Second, next to η, γ also is likely to be larger in the US if the ratio holds. Based on these results, it can be argued that intertemporal smoothing is relatively more important in smoothing consumption in the Netherlands than in the US.