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

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

Comparison <strong>of</strong> (b) above with equation (2.16) shows that if Y*/A t t-1 were larger than h, the second<br />

term in the right-hand side would be positive, and hence net worth grow at a rate larger than that <strong>of</strong><br />

in<strong>com</strong>e, n, causing Y*/A t t-1 to fall toward h: and conversely if Y*/A t t-1 were smaller than h.<br />

This argument is oversimplified and in<strong>com</strong>plete, particularly since it ignores the interaction<br />

between the behavior <strong>of</strong> consumers and the production process in the economy. A more <strong>com</strong>plete<br />

analysis <strong>of</strong> this growth process is given in Ando [2].<br />

30. The rationale for including corporate saving in property in<strong>com</strong>e and personal saving is given in<br />

Modigliani and Miller [36].<br />

31. This phenomenon will be further accentuated when we recognize the possibility that a cyclical<br />

fall in Y is likely to bring about a small change in Y e . Also, because property in<strong>com</strong>e may be expected<br />

to fluctuate cyclically even more than labor in<strong>com</strong>e, the ratio <strong>of</strong> saving to total in<strong>com</strong>e will fluctuate<br />

even more than the ratio <strong>of</strong> saving to labor in<strong>com</strong>e. See note 30, equation (a).<br />

32. Some downward shift <strong>of</strong> the consumption function might occur even in the absence <strong>of</strong> dissaving,<br />

if there is some downward revaluation <strong>of</strong> the market value <strong>of</strong> assets, as the depressed level <strong>of</strong><br />

property in<strong>com</strong>e tends to bring about less favorable evaluation <strong>of</strong> the long-run prospects for return<br />

from assets.<br />

Because <strong>of</strong> this dependence <strong>of</strong> the value <strong>of</strong> assets on property in<strong>com</strong>e, the statement made earlier<br />

to the effect that A t-1 can be taken as a given initial condition in the year t is only approximately true.<br />

Also the relation DA t = S t does not hold in the presence <strong>of</strong> capital gains and losses. Note however<br />

that what is relevant in the present connection is the change in the value <strong>of</strong> assets in terms <strong>of</strong> purchasing<br />

power over consumption goods and not the change in terms <strong>of</strong> money value, which may be<br />

considerably more severe.<br />

33. On the other hand, because up-to-date estimates <strong>of</strong> wealth are not readily available, at least for<br />

the present, some variant or the Duensenberry-Modigliani model may well be more useful for shortrun<br />

forecasting.<br />

References<br />

1. Ando, A. A Contribution to the Theory <strong>of</strong> Economic Fluctuations and Growth. Unpublished doctoral<br />

dissertation, Carnegie Institute <strong>of</strong> Technology, 1959.<br />

2. ———, “An Empirical Model <strong>of</strong> the U.S. Economic Growth: Exploratory Study in Applied Capital<br />

Theory,” Conference on In<strong>com</strong>e and Wealth, National Bureau <strong>of</strong> Economic Research (forth<strong>com</strong>ing).<br />

3. ———, Brown, E. C., Kareken, J., and Solow, R. M. Lags in Fiscal and Monetary Policy. Monograph<br />

prepared for the Commission on Money and Credit (forth<strong>com</strong>ing).<br />

4. ———, and Modigliani, F. “Growth, Fluctuations, and Stability,” Am. Econ. Rev. Proc., Vol. 49<br />

(May, 1959), pp. 501–24.<br />

5. Bodkin, R. “Windfall In<strong>com</strong>e and Consumption,” Am. Econ. Rev., Vol. 49 (September, 1959),<br />

pp. 602–14.<br />

6. Brumberg, R. E. “An Approximation to the <strong>Aggregate</strong> <strong>Saving</strong> Function,” Econ. Jour., Vol. 46<br />

(March, 1956), pp. 66–72.<br />

7. ———, Utility Analysis and <strong>Aggregate</strong> Consumption Function: An Empirical Test and Its<br />

Meaning. Unpublished doctoral dissertation, The Johns Hopkins University, 1933.<br />

8. Bulletin <strong>of</strong> the Oxford University Institute <strong>of</strong> Statistics, <strong>Saving</strong>s Behavior; A Symposium, Vol. 19<br />

(2) (May, 1957) pp. 99–199.<br />

9. Duesenberry, J. S. In<strong>com</strong>e, <strong>Saving</strong>s, and the Theory <strong>of</strong> Consumer Behavior. Cambridge: 1959.<br />

10. Durbin, J., and Watson, G. S. “Testing for Serial Correlation in Least Squares Regression, I and<br />

II,” Biometrika, Vol. 37 (December, 1950), pp. 409–28; and ibid., Vol. 38 (June, 1951), pp. 159–78.<br />

11. Eisner, R. “The Permanent In<strong>com</strong>e <strong>Hypothesis</strong>: Comment,” Am. Econ. Rev., Vol. 48 (December,<br />

1958), pp. 972–89.

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