[p.113]
Chapter 10
THE MARGINAL PROPENSITY TO CONSUME AND
THE MULTIPLIER
We established in Chapter 8 that employment can only increase pari
passu with investment unless there is a change in the propensity to
consume. We can now carry this line of thought a stage further. For in
given circumstances a definite ratio, to be called the Multiplier,
can be established between income and investment and, subject to certain
simplifications, between the total employment and the employment directly
employed on investment (which we shall call the primary employment).
This further step is an integral part of our theory of employment, since
it establishes a precise relationship, given the propensity to consume,
between aggregate employment and income and the rate of investment. The
conception of the multiplier was first introduced into economic theory
by Mr R. F. Kahn in his article on 'The Relation of Home Investment to
Unemployment' (Economic Journal, June 1931). His argument in this
article depended on the fundamental notion that, if the propensity to consume
in various hypothetical circumstances is (together with certain other conditions)
taken as given and we conceive the monetary or other public authority to
take steps to stimulate or to retard investment, the change in the amount
of employment will be a function of the net change in the amount of investment;
and it aimed at laying down general principles by which to estimate the
actual quantitative relationship between an incre-[p.114]ment of net investment and the increment of aggregate employment which
will be associated with it. Before coming to the multiplier, however, it
will be convenient to introduce the conception of the marginal propensity
to consume.
I
The fluctuations in real income under consideration in this book are
those which result from applying different quantities of employment (i.e.
of labour-units) to a given capital equipment, so that real income increases
and decreases with the number of labour-units employed. If, as we assume
in general, there is a decreasing return at the margin as the number of labour-units employed on the given capital equipment is increased, income
measured in terms of wage-units will increase more than in proportion to
the amount of employment, which, in turn, will increase more than in proportion
to the amount of real income measured (if that is possible) in terms of
product. Real income measured in terms of product and income measured in
terms of wage-units will, however, increase and decrease together (in the
short period when capital equipment is virtually unchanged). Since, therefore,
real income, in terms of product, may be incapable of precise numerical
measurement, it is often convenient to regard income in terms of wage-units
(Yw) as an adequate working index of changes in real
income. In certain contexts we must not overlook the fact that, in general,
Yw
increases and decreases in a greater proportion than real income; but in
other contexts the fact that they always increase and decrease together
renders them virtually interchangeable.
Our normal psychological law that, when the real income of the community
increases or decreases, its consumption will increase or decrease but not
so fast, can, therefore, be translated¾not,
indeed, with absolute accuracy but subject to qualifications which are
obvious [p.115] and can easily be stated in a formally complete fashion into the propositions
that DCw and DYw
have the same sign, but DYw
> DCw, where Cw
is the consumption in terms of wage-units. This is merely a repetition
of the proposition already established on p.
29 above. Let us define, then, dCw/dYw
as the marginal propensity to consume.
This quantity is of considerable importance, because it tells us how
the next increment of output will have to be divided between consumption
and investment. For DYw
= DCw + DIw,
where Cw and Iw are the increments
of consumption and investment; so that we can write DYw
= kDIw, where
1 - 1/k is equal to the marginal propensity
to consume.
Let us call k the investment multiplier. It tells us that,
when there is an increment of aggregate investment, income will increase
by an amount which is k times the increment of investment.
II
Mr. Kahn's multiplier is a little different from this, being what we
may call the employment multiplier designated by k', since
it measures the ratio of the increment of total employment which is associated
with a given increment of primary employment in the investment industries.
That is to say, if the increment of investment DIw
leads to an increment of primary employment DN2
in the investment industries, the increment of total employment DN
= k'DN2.
There is no reason in general to suppose that k = k'.
For there is no necessary presumption that the shapes of the relevant portions
of the aggregate supply functions for different types of industry are such
that the ratio of the increment of employment in the one set of industries
to the increment of demand which has [p.116] stimulated it will be the
same as in the other set of industries. [1]
It is easy, indeed, to conceive of cases, as, for example, where the
marginal propensity to consume is widely different from the average propensity,
in which there would be a presumption in favour of some inequality between
DYw/DN
and DIw/DN2,
since there would be very divergent proportionate changes in the demands
for consumption-goods and investment-goods respectively. If we wish to
take account of such possible differences in the shapes of the relevant
portions of the aggregate supply functions for the two groups of industries
respectively, there is no difficulty in rewriting the following argument
in the more generalised form. But to elucidate the ideas involved, it will
be convenient to deal with the simplified case where k = k'.
It follows, therefore, that, if the consumption psychology of the community
is such that they will choose to consume, e.g. nine-tenths of an increment
of income, [2] then the multiplier k is 10; and the total employment caused by
(e.g.) increased public works [p.117] will be ten times the primary employment
provided by the public works themselves, assuming no reduction of investment in
other directions. Only in the event of the community maintaining their
consumption unchanged in spite of the increase in employment and hence
in real income, will the increase of employment be restricted to the primary
employment provided by the public works. If, on the other hand, they seek
to consume the whole of any increment of income, there will be no point
of stability and prices will rise without limit. With normal psychological
suppositions, an increase in employment will only be associated with a
decline in consumption if there is at the same time a change in the propensity
to consume¾as the result, for instance,
of propaganda in time of war in favour of restricting individual consumption;
and it is only in this event that the increased employment in investment
will be associated with an unfavourable repercussion on employment in the
industries producing for consumption.
This only sums up in a formula what should by now be obvious to the
reader on general grounds. An increment of investment in terms of wage-units
cannot occur unless the public are prepared to increase their savings in
terms of wage-units. Ordinarily speaking, the public will not do this unless
their aggregate income in terms of wage-units is increasing. Thus their
effort to consume a part of their increased incomes will stimulate output
until the new level (and distribution) of incomes provides a margin of
saving sufficient to correspond to the increased investment. The multiplier
tells us by how much their employment has to be increased to yield an increase
in real income sufficient to induce them to do the necessary extra saving,
and is a function of their psychological propensities.[1] If saving is the pill and consumption is the jam, the
[p.118] extra jam has to
be proportioned to the size of the additional pill. Unless the psychological propensities of the public
are different from what we are supposing, we have here established the
law that increased employment for investment must necessarily stimulate
the industries producing for consumption and thus lead to a total increase
of employment which is a multiple of the primary employment required by
the investment itself.
It follows from the above that, if the marginal propensity to consume
is not far short of unity, small fluctuations in investment will lead to
wide fluctuations in employment; but, at the same time, a comparatively
small increment of investment will lead to full employment. If, on the
other hand, the marginal propensity to consume is not much above zero,
small fluctuations in investment will lead to correspondingly small fluctuations
in employment; but, at the same time, it may require a large increment
of investment to produce full employment. In the former case involuntary
unemployment would be an easily remedied malady, though liable to be troublesome
if it is allowed to develop. In the latter case, employment may be less
variable but liable to settle down at a low level and to prove recalcitrant
to any but the most drastic remedies. In actual fact the marginal propensity
to consume seems to lie somewhere between these two extremes, though much
nearer to unity than to zero; with the result that we have, in a sense,
the worst of both worlds, fluctuations in employment being considerable
and, at the same time, the increment in investment required to produce
full employment being too great to be easily handled. Unfortunately the
fluctuations have been sufficient to prevent the nature of the malady from
being obvious, whilst its severity is such that it cannot be remedied unless
its nature is understood.
When full employment is reached, any attempt to increase investment
still further will set up a tendency in money-prices to rise without limit,
irrespective [p.119] of the marginal propensity to consume; i.e. we shall
have reached a state of true inflation.[1] Up to this point, however, rising prices will be associated with an increasing
aggregate real income.
III
We have been dealing so far with a net increment of investment.
If, therefore, we wish to apply the above without qualification to the
effect of (e.g.) increased public works, we have to assume that there is
no offset through decreased investment in other directions,¾and
also, of course, no associated change in the propensity of the community
to consume. Mr. Kahn was mainly concerned in the article referred to above
in considering what offsets we ought to take into account as likely to
be important, and in suggesting quantitative estimates. For in an actual
case there are several factors besides some specific increase of investment
of a given kind which enter into the final result. If, for example, a Government
employs 100,000 additional men on public works, and if the multiplier (as
defined above) is 4, it is not safe to assume that aggregate employment
will increase by 400,000. For the new policy may have adverse reactions
on investment in other directions.
It would seem (following Mr. Kahn) that the following are likely in a
modern community to be the factors which it is most important not to overlook
(though the first two will not be fully intelligible until after Book IV
has been reached): (i) The method of financing the policy and the increased working
cash, required by the increased employment and the associated rise of prices,
may have the effect of increasing the rate of interest and so retarding
investment in other directions, unless the monetary authority takes steps
to the contrary; whilst, at the same time, the increased cost of capital
goods [p.120] will reduce their marginal efficiency to the private
investor, and this will require an actual fall in the rate of interest
to offset it.
(ii) With the confused psychology which often prevails, the Government
programme may, through its effect on "confidence", increase liquidity-preference
or diminish the marginal efficiency of capital, which, again, may retard
other investment unless measures are taken to offset it.
(iii) In an open system with foreign-trade relations, some part
of the multiplier of the increased investment will accrue to the benefit
of employment in foreign countries, since a proportion of the increased
consumption will diminish our own country's favourable foreign balance;
so that, if we consider only the effect on domestic employment as distinct
from world employment, we must diminish the full figure of the multiplier.
On the other hand our own country may recover a portion of this leakage
through favourable repercussions due to the action of the multiplier in
the foreign country in increasing its economic activity.
Furthermore, if we are considering changes of a substantial amount,
we have to allow for a progressive change in the marginal propensity to
consume, as the position of the margin is gradually shifted; and hence
in the multiplier. The marginal propensity to consume is not constant for
all levels of employment, and it is probable that there will be, as a rule,
a tendency for it to diminish as employment increases; when real income
increases, that is to say, the community will wish to consume a gradually
diminishing proportion of it.
There are also other factors, over and above the operation of the general
rule Just mentioned, which may operate to modify the marginal propensity
to consume, and hence the multiplier; and these other factors seem likely,
as a rule, to accentuate the tendency of the general rule rather than to
offset it. For, in the first [p.121] place, the increase of employment will tend,
owing to the effect of diminishing returns in the short period, to increase
the proportion of aggregate income which accrues to the entrepreneurs,
whose individual marginal propensity to consume is probably less than the
average for the community as a whole. In the second place, unemployment
is likely to be associated with negative saving in certain quarters, private
or public, because the unemployed may be living either on the savings of
themselves and their friends or on public relief which is partly financed
out of loans; with the result that re-employment will gradually diminish
these particular acts of negative saving and reduce, therefore, the marginal
propensity to consume more rapidly than would have occurred from an equal
increase in the community's real income accruing in different circumstances.
In any case, the multiplier is likely to be greater for a small net
increment of investment than for a large increment; so that, where substantial
changes are in view, we must be guided by the average value of the multiplier
based on the average marginal propensity to consume over the range in question.
Mr. Kahn has examined the probable quantitative result of such factors
as these in certain hypothetical special cases. But, clearly, it is not
possible to carry any generalisation very far. One can only say, for example,
that a typical modern community would probably tend to consume not much
less than 80 per cent of any increment of real income, if it were a closed
system with the consumption of the unemployed paid for by transfers from
the consumption of other consumers, so that the multiplier after allowing
for offsets would not be much less than 5. In a country, however, where
foreign trade accounts for, say, 20 per cent of consumption and where the
unemployed receive out of loans or their equivalent up to, say, 50 per
cent of their normal consumption when in work, the multiplier [p.122] may fall
as low as 2 or 3 times the employment provided by a specific new investment. Thus a given fluctuation of investment
will be associated with a much less violent fluctuation of employment in
a country in which foreign trade plays a large part and unemployment relief
is financed on a larger scale out of borrowing (as was the case, e.g. in
Great Britain in 1931), than in a country in which these factors are less
important (as in the United States in 1932). [1]
It is, however, to the general principle of the multiplier to which
we have to look for an explanation of how fluctuations in the amount of
investment, which are a comparatively small proportion of the national
income, are capable of generating fluctuations in aggregate employment
and income so much greater in amplitude than themselves.
IV
The discussion has been carried on, so far, on the basis of a change
in aggregate investment which has been foreseen sufficiently in advance
for the consumption industries to advance
pari passu with the capital-goods
industries without more disturbance to the price of consumption-goods than
is consequential, in conditions of decreasing returns, on an increase in
the quantity which is produced.
In general, however, we have to take account of the case where the initiative
comes from an increase in the output of the capital-goods industries which
was not fully foreseen. It is obvious that an initiative of this description
only produces its full effect on employment over a period of time. I have
found, however, in discussion that this obvious fact often gives rise to
some confusion between the logical theory of the multiplier, which holds
good continuously, without time-lag, at all moments of time, and the consequences
of an expansion in the capital-goods industries which take gradual [p.123] effect,
subject to time-lag and only after an interval.
The relationship between these two things can be cleared up by pointing
out, firstly that an unforeseen, or imperfectly foreseen, expansion in
the capital-goods industries does not have an instantaneous effect of equal
amount on the aggregate of investment but causes a gradual increase of
the latter; and, secondly, that it may cause a temporary departure of the
marginal propensity to consume away from its normal value, followed, however,
by a gradual return to it.
Thus an expansion in the capital-goods industries causes a series of
increments in aggregate investment occurring in successive periods over
an interval of time, and a series of values of the marginal propensity
to consume in these successive periods which differ both from what the
values would have been if the expansion had been foreseen and from what
they will be when the community has settled down to a new steady level
of aggregate investment. But in every interval of time the theory of the
multiplier holds good in the sense that the increment of aggregate demand
is equal to the product of the increment of aggregate investment and the
multiplier as determined by the marginal propensity to consume.
The explanation of these two sets of facts can be seen most clearly
by taking the extreme case where the expansion of employment in the capital-goods
industries is so entirely unforeseen that in the first instance there is
no increase whatever in the output of consumption-goods. In this event
the efforts of those newly employed in the capital-goods industries to
consume a proportion of their increased incomes will raise the prices of
consumption-goods until a temporary equilibrium between demand and supply
has been brought about partly by the high prices causing a postponement
of consumption, partly by a redistribution of income in favour of the saving
classes as an effect of the increased profits resulting from the higher
prices, [p.124] and partly by the higher prices causing a depletion of stocks. So far as the balance is restored by a postponement of consumption
there is a temporary reduction of the marginal propensity to consume, i.e.
of the multiplier itself, and in so far as there is a depletion of stocks,
aggregate investment increases for the time being by less than the increment
of investment in the capital-goods industries,¾i.e.
the thing to be multiplied does not increase by the full increment of investment
in the capital-goods industries. As time goes on, however, the consumption-goods
industries adjust themselves to the new demand, so that when the deferred
consumption is enjoyed, the marginal propensity to consume rises temporarily
above its normal level, to compensate for the extent to which it previously
fell below it, and eventually returns to its normal level; whilst the restoration
of stocks to their previous figure causes the increment of aggregate investment
to be temporarily greater than the increment of investment in the capital-goods
industries (the increment of working capital corresponding to the greater
output also having temporarily the same effect).
The fact that an unforeseen change only exercises its full effect on
employment over a period of time is important in certain contexts;¾in
particular it plays a part in the analysis of the trade cycle (on lines
such as I followed in my Treatise on Money). But it does not in
any way affect the significance of the theory of the multiplier as set
forth in this chapter; nor render it inapplicable as an indicator of the
total benefit to employment to be expected from an expansion in the capital.
goods industries. Moreover, except in conditions where the consumption
industries are already working almost at capacity so that an expansion
of output requires an expansion of plant and not merely the more intensive
employment of the existing plant, there is no reason to suppose that more
than a brief interval of time need elapse before employment in the con-[p.125]sumption
industries is advancing pari passu with employment in the capital-goods industries with the multiplier operating
near its normal figure.
V
We have seen above that the greater the marginal propensity to consume,
the greater the multiplier, and hence the greater the disturbance to employment
corresponding to a given change in investment. This might seem to lead
to the paradoxical conclusion that a poor community in which saving is
a very small proportion of income will be more subject to violent fluctuations
than a wealthy community where saving is a larger proportion of income
and the multiplier consequently smaller.
This conclusion, however, would overlook the distinction between the
effects of the marginal propensity to consume and those of the average
propensity to consume. For whilst a high marginal propensity to consume
involves a larger proportionate
effect from a given percentage change
in investment, the absolute
effect will, nevertheless, be small
if the average propensity to consume is also high. This may be illustrated
as follows by a numerical example.
Let us suppose that a community's propensity to consume is such that,
so long as its real income does not exceed the output from employing 5,000,000
men on its existing capital equipment, it consumes the whole of its income;
that of the output of the next 100,000 additional men employed it consumes
99 per cent., of the next 100,000 after that 98 per cent., of the third 100,000
97 per cent. and so on; and that 10,000,000 men employed represents full
employment. It follows from this that, when 5,000,000 + n × 100,000
men are employed, the multiplier at the margin is 100/n, and [n(n
+ 1)]/[2·(50 + n)] per cent. of the national income is invested.[p.126]
Thus when 5,200,000 men are employed the multiplier is very large, namely
50, but investment is only a trifling proportion of current income, namely,
0.06 per cent.; with the result that if investment falls off by a large
proportion, say about two-thirds, employment will only decline to 5,100,000,
i.e. by about 2 per cent. On the other hand, when 9,000,000 men are employed,
the marginal multiplier is comparatively small, namely 2½, but investment
is now a substantial proportion of current income, namely, 9 per cent.;
with the result that if investment falls by two-thirds, employment will
decline to 6,900,000, namely, by 19 per cent [RES]. In the limit where investment
falls off to zero, employment will decline by about 4 per cent. in the former
case, whereas in the latter case it will decline by 44 per cent.[1]
In the above example, the poorer of the two communities under comparison
is poorer by reason of under-employment. But the same reasoning applies
by easy adaptation if the poverty is due to inferior skill, technique or
equipment. Thus whilst the multiplier is larger in a poor community, the
effect on employment of fluctuations in investment will be much greater
in a wealthy community, assuming that in the latter current investment
represents a much larger proportion of current output.[2][p.127] It is also obvious from the above that the employment of a given number
of men on public works will (on the assumptions made) have a much larger
effect on aggregate employment at a time when there is severe unemployment,
than it will have later on when full employment is approached. In the above
example, if, at a time when employment has fallen to 5,200,000, an additional
100,000 men are employed on public works, total employment will rise to
6,400,000. But if employment is already 9,000,000 when the additional 100,000
men are taken on for public works, total employment will only rise to 9,200,000.
Thus public works even of doubtful utility may pay for themselves over
and over again at a time of severe unemployment, if only from the diminished
cost of relief expenditure, provided that we can assume that a smaller
proportion of income is saved when unemployment is greater; but they may
become a more doubtful proposition as a state of full employment is approached.
Furthermore, if our assumption is correct that the marginal propensity
to consume falls off steadily as we approach full employment, it follows
that it will become more and more troublesome to secure a further given
increase of employment by further increasing investment. It should not
be difficult to compile a chart of the marginal propensity to consume at
each stage of a trade cycle from the statistics (if they were available)
of aggregate income and aggregate investment at successive dates. At present,
however, our statistics are not accurate enough (or compiled sufficiently
with this specific object in view) to allow us to infer more than highly
approximate estimates. The best for the purpose, of which I am aware, are
Mr. Kuznets' figures for the United States (already referred to,
p.103 above),
though they are, nevertheless, very precarious. Taken in conjunction with
estimates of national income these suggest, for what they are worth, both
a lower figure and a more stable figure for the investment multiplier [p.128]
than I should have expected. If single years are taken in isolation,
the results look rather wild. But if they are grouped in pairs, the multiplier
seems to have been less than 3 and probably fairly stable in the neighbourhood
of 2.5. This suggests a marginal propensity to consume not exceeding 6o
to 70 per cen.t¾a figure quite plausible
for the boom, but surprisingly, and, in my judgment, improbably low for
the slump. It is possible, however, that the extreme financial conservatism
of corporate finance in the United States, even during the slump, may account
for it. In other words, if, when investment is falling heavily through
a failure to undertake repairs and replacements, financial provision is
made, nevertheless, in respect of such wastage, the effect is to prevent
the rise in the marginal propensity to consume which would have occurred
otherwise. I suspect that this factor may have played a significant part
in aggravating the degree of the recent slump in the United States. On
the other hand, it is possible that the statistics somewhat overstate the
decline in investment, which is alleged to have fallen off by more than
75 per cent in 1932 compared with 1929, whilst net "capital formation"
declined by more than 95 per cent.;¾a
moderate change in these estimates being capable of making a substantial
difference to the multiplier.
VI When involuntary unemployment exists, the marginal disutility of labour
is necessarily less than the utility of the marginal product. Indeed it
may be much less. For a man who has been long unemployed some measure of
labour, instead of involving disutility, may have a positive utility. If
this is accepted, the above reasoning shows how "wasteful" loan expenditure
[1] may nevertheless enrich the com-[p.129]munity on balance. Pyramid-building, earthquakes, even wars may serve
to increase wealth, if the education of our statesmen on the principles
of the classical economics stands in the way of anything better.
It is curious how common sense, wriggling for an escape from absurd
conclusions, has been apt to reach a preference for wholly "wasteful"
forms of loan expenditure rather than for partly
wasteful forms,
which, because they are not wholly wasteful, tend to be judged on strict
"business" principles. For example, unemployment relief financed by loans
is more readily accepted than the financing of improvements at a charge
below the current rate of interest; whilst the form of digging holes in
the ground known as gold-mining, which not only adds nothing whatever to
the real wealth of the world but involves the disutility of labour, is
the most acceptable of all solutions.
If the Treasury were to fill old bottles with banknotes, bury them at
suitable depths in disused coalmines which are then filled up to the surface
with town rubbish, and leave it to private enterprise on well-tried principles
of laissez-faire to dig the notes up again (the right to do so being
obtained, of course, by tendering for leases of the note-bearing territory),
there need be no more unemployment and, with the help of the repercussions,
the real income of the community, and its capital wealth also, would probably
become a good deal greater than it actually is. It would, indeed, be more
sensible to build houses and the like; but if there are political and practical
difficulties in the way of this, the above would be better than nothing. [p.130]
The analogy between this expedient and the goldmines of the real world is complete. At periods when gold is available
at suitable depths experience shows that the real wealth of the world increases
rapidly; and when but little of it is so available our wealth suffers stagnation
or decline. Thus gold-mines are of the greatest value and importance to
civilisation. Just as wars have been the only form of large-scale loan
expenditure which statesmen have thought justifiable, so gold-mining is
the only pretext for digging holes in the ground which has recommended
itself to bankers as sound finance; and each of these activities has played
its part in progress¾failing something
better. To mention a detail, the tendency in slumps for the price of gold
to rise in terms of labour and materials aids eventual recovery, because
it increases the depth at which gold-digging pays and lowers the minimum
grade of ore which is payable. In addition to the probable effect of increased supplies of gold on
the rate of interest, gold-mining is for two reasons a highly practical
form of investment, if we are precluded from increasing employment by means
which at the same time increase our stock of useful wealth. In the first
place, owing to the gambling attractions which it offers it is carried
on without too close a regard to the ruling rate of interest. In the second
place the result, namely, the increased stock of gold, does not, as in
other cases, have the effect of diminishing its marginal utility. Since
the value of a house depends on its utility, every house which is built
serves to diminish the prospective rents obtainable from further house-building
and therefore lessens the attraction of further similar investment unless
the rate of interest is falling pari passu. But the fruits of gold-mining
do not suffer from this disadvantage, and a check can only come through
a rise of the wage-unit in terms of gold, which is not likely to occur
unless and until employment is substantially better. Moreover, there is
no [p.131] subsequent reverse effect on account of provision for user and supplementary costs, as in the case of less durable forms of
wealth.
Ancient Egypt was doubly fortunate, and doubtless owed to this its fabled
wealth, in that it possessed two activities, namely, pyramid-building as
well as the search for the precious metals, the fruits of which, since
they could not serve the needs of man by being consumed, did not stale
with abundance. The Middle Ages built cathedrals and sang dirges. Two pyramids,
two masses for the dead, are twice as good as one; but not so two railways
from London to York. Thus we are so sensible, have schooled ourselves to
so close a semblance of prudent financiers, taking careful thought before
we add to the "financial" burdens of posterity by building them houses
to live in, that we have no such easy escape from the sufferings of unemployment.
We have to accept them as an inevitable result of applying to the conduct
of the State the maxims which are best calculated to "enrich" an individual
by enabling him to pile up claims to enjoyment which he does not intend
to exercise at any definite time.
Footnotes: [p.116] 1 -
More precisely, if ee and ee' are the
elasticities of employment in industry as a whole and in the investment
industries respectively, and if N and N2 are the numbers of
men employed in industry as a whole and in the investment industries, we have
and
so that
i.e.
If, however, there is no reason to expect any material difference in the
shapes of the aggregate supply functions for industry as a whole and for the
investment industries respectively, so that , then it follows
that
, and, therefore, that k = k'. [back to text]
[p.116] 2 - Our quantities are
measured throughout in terms of wage units. [back to text]
[p.117] 1 - Though in the more
generalized case it is also a function of the physical conditions of production
in the investment and consumption industries respectively. [back to text]
[p.119] 1 - Cf. Chapter
21, p.303, below. [back to text]
[p.122] 1 - Cf., however,
below, p.128, for an American estimate. [back to text]
[p.126] 1 - Quantity of investment is
measured, above, by the number of men employed in producing it. Thus if
there are diminishing returns per unit of employment as employment increases,
what is double the quantity of investment on the above scale will be less than
double on a physical scale (if such a scale is available). [back to text]
[p.126] 2 - More generally, the ratio
of the proportional change in total demand to the proportional change in
investment
As wealth increases, dC/dY diminishes, but C/Y also
diminishes. Thus the fraction increases or diminishes according as
consumption increases or diminishes in a smaller or greater proportion than
income.
[back to text] [p.128] 1
- It is often convenient to use the term "loan expenditures"
to include the [RES] public investment financed by borrowing from individuals and also
[p.129] any other current public expenditure which is so financed.
Strictly speaking, the latter should be reckoned as negative saving, but
official action of this kind is not influenced by the same sort psychological
motives as those which govern private saving. Thus "loan
expenditure" is a convenient expression for the net borrowings of public
authorities on all accounts, whether on capital account or to meet a budgetary
deficit. The one form of loan expenditure operates by increasing
investment and the other by increasing the propensity to consume. [back to text]
|