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

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Utility Analysis and the Consumption Function 29<br />

derived so far from our theory and which is not equally consistent or, at any rate,<br />

readily explainable in terms <strong>of</strong> any other single set <strong>of</strong> hypotheses that, to our<br />

knowledge, has been advanced so far.<br />

II.5<br />

Individual <strong>Saving</strong>, Assets, and Age<br />

In recent years a good deal <strong>of</strong> attention has been devoted to the influence <strong>of</strong> assets<br />

on consumption, and attempts have been made at estimating the cross-section<br />

relation between these variables on the expectation that the parameters obtained<br />

would yield information on the time-series relation. Our theory has something to<br />

contribute as to the pitfalls <strong>of</strong> such an attempt. To begin with, it suggests that the<br />

relevant concept <strong>of</strong> assets is net worth; unfortunately, most <strong>of</strong> the recent empirical<br />

work has concentrated instead on liquid assets, a variable which, according<br />

to our model, bears no definite relation to consumption, except perhaps as a very<br />

imperfect proxy for net worth.<br />

But even if information on net worth were available, knowledge <strong>of</strong> the variation<br />

in consumption as between different households having different asset holdings,<br />

would give very little (and that little would be biased) information as to how<br />

a household would react if its assets were increased unexpectedly by a given<br />

amount, say, by an anonymous gift <strong>of</strong> the usual benevolent millionaire or, to take<br />

a more fashionable example, by an unexpected fall in the price level <strong>of</strong> consumables.<br />

This failing occurs because the observed asset holdings do not just happen<br />

to be there; instead, they reflect the life plan <strong>of</strong> the individual, which in turn<br />

depends on in<strong>com</strong>e and in<strong>com</strong>e expectations.<br />

To interpret the positive correlation between assets and consumption as implying<br />

that people consume more because they have more assets would be only<br />

slightly less inaccurate than the inverse inference that people have higher assets<br />

because they consume more. The point is that both consumption and assets are<br />

greatly affected by the other variables: in<strong>com</strong>e, in<strong>com</strong>e expectations, 52 and age.<br />

It may be objected that we are destroying a straw man; anyone studying the<br />

effect <strong>of</strong> assets would have sense enough to control the effect <strong>of</strong>, say, in<strong>com</strong>e.<br />

This may well be true, yet we feel that the above paragraph contains a useful<br />

lesson as to the relation between assets and consumption plans that one may too<br />

easily forget. For instance, the statement which has been repeated ad nauseam<br />

that in the early postwar years people bought durable goods lavishly because they<br />

had such large holdings <strong>of</strong> liquid assets (which may even find some apparent confirmation<br />

in survey results) might well stand a good deal <strong>of</strong> re-examination along<br />

the lines indicated above.<br />

But our model tells us that it is not enough to control in<strong>com</strong>e or even in<strong>com</strong>e<br />

expectations. As it is brought out clearly by our analysis <strong>of</strong> the stationary case,<br />

assets depend also on age (see equation II.8); and this implication <strong>of</strong> our model

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