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

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

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Recent Declines in the <strong>Saving</strong>s Rate 119<br />

assumption at least for the U.S. where the information is available. In fact if inherited<br />

wealth rose systematically faster or slower than in<strong>com</strong>e, then we should<br />

expect that the wealth-in<strong>com</strong>e ratio itself would rise or fall over time, whereas<br />

the observed ratio appears to have remained remarkably stable for many decades<br />

(at least since the beginning <strong>of</strong> the century).<br />

But why should bequests, like life cycle saving, be a constant fraction <strong>of</strong><br />

in<strong>com</strong>e? It was shown in Modigliani and Brumberg [15] that for the proportionality<br />

to hold it is sufficient that the following two conditions be satisfied. First,<br />

even though “richer” people may tend to leave a larger fraction <strong>of</strong> their resources<br />

than “poor” people (who may leave none), the proportion left should depend on<br />

relative not absolute, life cycle resources. Second, the size distribution <strong>of</strong> life<br />

resources should be reasonably stable over time. There is some empirical evidence<br />

that appears consistent with these assumptions.<br />

We can conclude that under the conditions stated above, the presence <strong>of</strong><br />

bequests, whether precautionary (and therefore unintended) or intended, does not<br />

change the basic conclusions: the general model still implies that saving depends<br />

on growth and not on in<strong>com</strong>e. Of course the ratio <strong>of</strong> bequests to life cycle saving<br />

may reflect differential bequest behavior; and, other things equal, the larger<br />

bequeathed wealth, the larger the wealth-in<strong>com</strong>e ratio and hence the larger the<br />

saving ratio, for given growth (even though it should be realized that bequests<br />

can, to some extent, have a depressing effect on life cycle wealth).<br />

This raises the question <strong>of</strong> how important is bequeathed wealth relative to life<br />

cycle wealth. I have concluded from a good deal <strong>of</strong> evidence that, for the U.S.,<br />

the ratio <strong>of</strong> bequeathed to total wealth can be placed at between 1/4 and 1/5,<br />

though this estimate has been hotly debated (Kotlik<strong>of</strong>f [11]). However, this issue<br />

is irrelevant for our tests, since our concern is with the widespread fall in the<br />

overall saving ratio. In any event information on the share <strong>of</strong> wealth that is inherited<br />

is not available at present for almost any country. But this is not likely to be<br />

too serious, since there are no grounds for thinking that the phenomenon under<br />

investigation could be, to any significant extent, the result <strong>of</strong> a worldwide reduction<br />

in true bequests whether due to legislation or to a spontaneous change in<br />

preferences. And second, bequests or not, the growth rate and the other variables<br />

mentioned remain major determinants <strong>of</strong> the saving ratio.<br />

1.4.2 The Role <strong>of</strong> Government<br />

In the traditional Keynesian model, introducing a government requires distinguishing<br />

between national in<strong>com</strong>e and disposable in<strong>com</strong>e (in<strong>com</strong>e minus taxes)<br />

and recognizing that national saving is the sum <strong>of</strong> government saving and private<br />

saving. Private saving is defined as disposable in<strong>com</strong>e less private consumption,<br />

and it is taken to be a function <strong>of</strong> disposable in<strong>com</strong>e.

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