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"Life Cycle" Hypothesis of Saving: Aggregate ... - Arabictrader.com

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158 The <strong>Life</strong>-Cycle <strong>Hypothesis</strong><br />

–10 –5 0 5 10 15<br />

20<br />

25 30 35 40 45 50 55 60 65 70 75 80<br />

Age <strong>of</strong> the household head<br />

Discretionary saving<br />

Change in discretionary wealth<br />

Figure 5.10<br />

Age pr<strong>of</strong>ile <strong>of</strong> discretionary saving and <strong>of</strong> increment in discretionary wealth<br />

The lines in the figure represent the age pr<strong>of</strong>iles <strong>of</strong> the increment in discretionary wealth (from figure<br />

5.6) and <strong>of</strong> discretionary saving (from figure 5.12). <strong>Saving</strong> is expressed in thousand euro<br />

with the Italian data or institutions. We then turn to evidence for other countries,<br />

and for conceptual differences between saving and changes in wealth.<br />

6.1 Sources Idiosyncratic to Italy<br />

The Role <strong>of</strong> Smoothing<br />

We began by considering the possibility that the finding <strong>of</strong> positive saving, even<br />

at an advanced age, might be the result <strong>of</strong> distortions induced by smoothing the<br />

life cycles <strong>of</strong> consumption and in<strong>com</strong>e by polynomials in age. On the basis <strong>of</strong><br />

figure 5.11, which shows a plot <strong>of</strong> the original (not smoothed) data <strong>of</strong> discretionary<br />

saving by age and cohort, we promptly dismiss this hypothesis. Clearly<br />

saving is humped, but even by age 80, though it is smaller than at any other age,<br />

it is unmistakably positive. This is once again confirmed by the smoothed graph<br />

<strong>of</strong> discretionary saving, exhibited in figure 5.12. Regression analysis—not<br />

reported for brevity—indicates that in<strong>com</strong>e, wealth, homeownership, education,<br />

self-employment, and family size are positively correlated with saving at<br />

advanced age. But the most noteworthy feature <strong>of</strong> saving is that less than 20<br />

percent <strong>of</strong> the aged households report negative saving, and that this proportion<br />

does not increase with age, even conditioning for employment status, education,<br />

homeownership, or other household characteristics.

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