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

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

assumed in Keynesian analysis, that to a first approximation consumption<br />

responds to taxes but not to interest rates. Now let the government increase its<br />

expenditure by dG while keeping taxes constant. Then the deficit will increase<br />

precisely by dD = dG. What will happen to capital formation? If we are to maintain<br />

full employment without inflation we must have<br />

dG + dC + dI =0<br />

and since, by assumption, taxes are constant and hence dC = 0, we must have<br />

dG = dD = -dI<br />

i.e., the debt-financed expenditure must be ac<strong>com</strong>panied by an equal reduction<br />

in capital formation (with the help <strong>of</strong> the appropriate monetary policy).<br />

This out<strong>com</strong>e is illustrated by a numerical example in table 3.1. Row (a) shows<br />

the behaviour <strong>of</strong> the relevant flows in the initial situation, taken as a standard <strong>of</strong><br />

<strong>com</strong>parison: here the budget is assumed to be balanced, although this is <strong>of</strong> no<br />

particular relevance. In row (b) we examine the consequence <strong>of</strong> an increase <strong>of</strong><br />

expenditure by 100, with unchanged taxes, and hence consumption. The amount<br />

<strong>of</strong> resources available for, and hence the level or private capital formation, is cut<br />

down precisely by the amount <strong>of</strong> the deficit-financed expenditure. It is also apparent<br />

that this expenditure puts no burden on the “current” members <strong>of</strong> the <strong>com</strong>munity.<br />

Their (real) disposable in<strong>com</strong>e is unchanged by the expenditure, and<br />

consequently so is their consumption, as well as the net current addition to their<br />

personal wealth or private net worth. But because capital formation has been cut<br />

by the amount <strong>of</strong> the deficit, the <strong>com</strong>munity will thereafter dispose <strong>of</strong> a stock <strong>of</strong><br />

private capital curtailed to a corresponding extent.<br />

Thus the deficit-financed expenditure will leave in its wake an overall burden<br />

on the economy in the form <strong>of</strong> a reduced flow <strong>of</strong> in<strong>com</strong>e from the reduced stock<br />

<strong>of</strong> private capital.<br />

V<br />

Interest Charges and the “True” Burden <strong>of</strong> Debt Financing<br />

The analysis <strong>of</strong> the last section is seen to agree with the classical conclusion that<br />

debt financing transfers the burden <strong>of</strong> the government expenditure to those living<br />

beyond the time <strong>of</strong> the expenditure. At the same time it indicates that this burden<br />

consists in the loss <strong>of</strong> in<strong>com</strong>e from capital and not in the taxes levied on later<br />

members to pay the interest charges, as the classical argument contends.<br />

In some respects this amendment to the classical burden position may be<br />

regarded as rather minor, for it can be argued that, under reasonable assumptions,<br />

the interest charges will provide a good measure <strong>of</strong> the true burden. Indeed, as

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