一時期/支部 14
THE CLASSICAL THEORY OF THE RATE OF INTEREST
I
What is the classical theory of the 率 of 利益/興味? It is something
upon which we have all been brought up and which we have 受託するd without
much reserve until recently. Yet I find it difficult to 明言する/公表する it 正確に
or to discover an explicit account of it in the 主要な treatises of the
modern classical school.
It is 公正に/かなり (疑いを)晴らす, however, that this tradition has regarded the 率
of 利益/興味 as the factor which brings the 需要・要求する for 投資 and the
乗り気 to save into equilibrium with one another. 投資 代表するs
the 需要・要求する for investible 資源s and saving 代表するs the 供給(する), whilst
the 率 of 利益/興味 is the 'price' of investible 資源s at which the
two are equated. Just as the price of a 商品/必需品 is やむを得ず 直す/買収する,八百長をするd
at that point where the 需要・要求する for it is equal to the 供給(する), so the 率
of 利益/興味 やむを得ず comes to 残り/休憩(する) under the play of market 軍隊s at
the point where the 量 of 投資 at that 率 of 利益/興味 is equal
to the 量 of saving at that 率.
The above is not to be 設立する in Marshall's 原則s in so many
words. Yet his theory seems to be this, and it is what I myself was brought
up on and what I taught for many years to others. Take, for example, the
に引き続いて passage from his 原則s: '利益/興味, 存在 the price
paid for the use of 資本/首都 in any market, tends に向かって an equilibrium level such that the aggregate 需要・要求する
for 資本/首都 in that market, at that 率 of 利益/興味, is equal to the aggregate
在庫/株 来たるべき at that 率'. Or again in Professor Cassel's Nature and Necessity of 利益/興味 it
is explained that 投資 構成するs the '需要・要求する for waiting' and saving
the '供給(する) of waiting', whilst 利益/興味 is a 'price' which serves, it
is 暗示するd, to equate the two, though here again I have not 設立する actual
words to 引用する. 一時期/支部 vi of Professor Carver's 配当 of Wealth
明確に
想像するs 利益/興味 as the factor which brings into equilibrium the ごくわずかの
disutility of waiting with the ごくわずかの 生産性 of 資本/首都. Sir Alfred Flux (経済的な 原則s, p. 95) 令状s: 'If there
is 司法(官) in the 論争s of our general discussion, it must be 認める
that an (a)自動的な/(n)自動拳銃 調整 takes place between saving and the 適切な時期s
for 雇うing 資本/首都 profitably. . . Saving will not have 越えるd its
可能性s of usefulness. . . so long as the 率 of 逮捕する 利益/興味 is
in 超過 of 無.' Professor Taussig (原則s, vol. ii. p. 29)
draws a 供給(する) curve of saving and a 需要・要求する curve 代表するing 'the 減らすing
productiveness of the several instalments of 資本/首都', having 以前
明言する/公表するd (p.20) that 'the 率 of 利益/興味 settles at a point where the ごくわずかの
生産性 of 資本/首都 十分であるs to bring out the ごくわずかの instalment of
saving'. Walras, in 虫垂 I (III) of his Éléments d'économie
pure, where he 取引,協定s with 'l'échange d'épargnes contre
capitaux neufs', argues expressly that, corresponding to each possible
率 of 利益/興味, there is a sum which individuals will save and also a
sum which they will 投資する in new 資本/首都 資産s, that these two aggregates
tend to equality with one another, and that the 率 of 利益/興味 is the
variable which brings them to equality; so that the 率 of 利益/興味 is
直す/買収する,八百長をするd at the point where saving, which 代表するs the 供給(する) of new 資本/首都,
is equal to the 需要・要求する for it. Thus he is 厳密に in the classical tradition.
Certainly the ordinary man¾銀行業者,
civil servant or 政治家,政治屋¾brought up
on the 伝統的な theory, and the trained 経済学者 also, has carried
away with him the idea that whenever an individual 成し遂げるs an 行為/法令/行動する of saving
he has done something which automatically brings 負かす/撃墜する the 率 of 利益/興味,
that this automatically 刺激するs the 生産(高) of 資本/首都, and that the
落ちる in the 率 of 利益/興味 is just so much as is necessary to 刺激する
the 生産(高) of 資本/首都 to an extent which is equal to the increment of saving;
and, その上の, that this is a self-regulatory 過程 of 調整 which
takes place without the necessity for any special 介入 or grandmotherly
care on the part of the 通貨の 当局. 類似して¾and
this is an even more general belief, even to-day¾each
付加 行為/法令/行動する of 投資 will やむを得ず raise the 率 of 利益/興味,
if it is not 相殺する by a change in the 準備完了 to save.
Now the 分析 of the previous 一時期/支部s will have made it plain that
this account of the 事柄 must be erroneous. In tracing to its source
the 推論する/理由 for the difference of opinion, let us, however, begin with the
事柄s which are agreed.
Unlike the neo-classical school, who believe that saving and 投資
can be 現実に unequal, the classical school proper has 受託するd the 見解(をとる)
that they are equal. Marshall, for example, surely believed, although he did not expressly say so, that aggregate saving and aggregate
投資 are やむを得ず equal. Indeed, most members of the classical
school carried this belief much too far; since they held that every 行為/法令/行動する
of 増加するd saving by an individual やむを得ず brings into 存在
a corresponding 行為/法令/行動する of 増加するd 投資. Nor is there any 構成要素
difference, 関連した in this 状況, between my schedule of the ごくわずかの
efficiency of 資本/首都 or 投資 需要・要求する-schedule and the 需要・要求する curve
for 資本/首都 熟視する/熟考するd by some of the classical writers who have been
引用するd above. When we come to the propensity to 消費する and its corollary
the propensity to save, we are nearer to a difference of opinion, 借りがあるing
to the 強調 which they have placed on the 影響(力) of the 率 of
利益/興味 on the propensity to save. But they would, 推定では, not wish
to 否定する that the level of income also has an important 影響(力) on the
量 saved; whilst I, for my part, would not 否定する that the 率 of 利益/興味
may perhaps have an 影響(力) (though perhaps not of the 肉親,親類d which they
suppose) on the 量 saved out of a given income. All these points
of 協定 can be summed up in a proposition which the classical school
would 受託する and I should not 論争; すなわち, that, if the level of income
is assumed to be given, we can infer that the 現在の 率 of 利益/興味
must 嘘(をつく) at the point where the 需要・要求する curve for 資本/首都 corresponding
to different 率s of 利益/興味 削減(する)s the curve of the 量s saved out
of the given income corresponding to different 率s of 利益/興味.
But this is the point at which 限定された error creeps into the classical
theory. If the classical school 単に inferred from the above proposition
that, given the 需要・要求する curve for 資本/首都 and the 影響(力) of changes in
the 率 of 利益/興味 on the 準備完了 to save out of given incomes, the
level of income and the 率 of 利益/興味 must be uniquely correlated, there
would be nothing to quarrel with. Moreover, this proposition would lead 自然に to another proposition which 具体的に表現するs an important
truth; すなわち, that, if the 率 of 利益/興味 is given 同様に as the 需要・要求する
curve for 資本/首都 and the 影響(力) of the 率 of 利益/興味 on the 準備完了
to save out of given levels of income, the level of income must be the
factor which brings the 量 saved to equality with the 量 投資するd.
But, in fact, the classical theory not 単に neglects the 影響(力) of
changes in the level of income, but 伴う/関わるs formal error.
For the classical theory, as can be seen from the above quotations,
assumes that it can then proceed to consider the 影響 on the 率 of
利益/興味 of (e.g.) a 転換 in the 需要・要求する curve for 資本/首都, without abating
or 修正するing its 仮定/引き受けること as to the 量 of the given income out of
which the 貯金 are to be made. The 独立した・無所属 variables of the classical
theory of the 率 of 利益/興味 are the 需要・要求する curve for 資本/首都 and the
影響(力) of the 率 of 利益/興味 on the 量 saved out of a given income;
and when (e.g.) the 需要・要求する curve for 資本/首都 転換s, the new 率 of 利益/興味,
によれば this theory, is given by the point of 交差点 between
the new 需要・要求する curve for 資本/首都 and the curve relating the 率 of 利益/興味
to the 量s which will be saved out of the given income. The classical
theory of the 率 of 利益/興味 seems to suppose that, if the 需要・要求する curve
for 資本/首都 転換s or if the curve relating the 率 of 利益/興味 to the
量s saved out of a given income 転換s or if both these curves 転換,
the new 率 of 利益/興味 will be given by the point of 交差点 of
the new positions of the two curves. But this is a nonsense theory. For
the 仮定/引き受けること that income is constant is inconsistent with the 仮定/引き受けること
that these two curves can 転換 独立して of one another. If either
of them 転換, then, in general, income will change; with the result that
the whole schematism based on the 仮定/引き受けること of a given income breaks 負かす/撃墜する.
The position could only be saved by some 複雑にするd 仮定/引き受けること 供給するing for an (a)自動的な/(n)自動拳銃 change in the 行う-部隊
of an 量 just 十分な in its 影響 on liquidity-preference to 設立する
a 率 of 利益/興味 which would just 相殺する the supposed 転換, so as to
leave 生産(高) at the same level as before. In fact, there is no hint to
be 設立する in the above writers as to the necessity for any such 仮定/引き受けること;
at the best it would be plausible only in relation to long-period equilibrium
and could not form the basis of a short-period theory; and there is no
ground for supposing it to 持つ/拘留する even in the long-period. In truth, the
classical theory has not been alive to the relevance of changes in the
level of income or to the 可能性 of the level of income 存在 現実に
a 機能(する)/行事 of the 率 of the 投資.
The above can be illustrated by a diagram as follows:
In this diagram the 量 of 投資 (or saving) I is 手段d
vertically, and the 率 of 利益/興味 r horizontally. X1X1'
is the first position of the 投資 需要・要求する-schedule, and X2X2'
is a second position of this curve. The curve Y1 relates
the 量s saved out of an income Y1 to さまざまな levels
of the 率 of 利益/興味, the curves Y2, Y3,
etc., 存在 the corresponding curves for levels of income Y2,
Y3,
etc. Let us suppose that the curve Y1 is the Y-curve
一貫した with an 投資 需要・要求する-schedule X1X1'
and a 率 of 利益/興味 r1. Now if the 投資 需要・要求する-schedule
転換s from X1X1' to X2X2',
income will, in general, 転換 also. But the above diagram does not 含む/封じ込める
enough data to tell us what its new value will be; and, therefore, not
knowing which is the appropriate Y-curve, we do not know at what
point the new 投資 需要・要求する-schedule will 削減(する) it. If, however, we introduce
the 明言する/公表する of liquidity-preference and the 量 of money and these between
them tell us that the 率 of 利益/興味 is r2, then the
whole position becomes determinate. For the Y-curve which intersects
X2X2'
at the point vertically above
r2, すなわち, the curve Y2,
will be the appropriate curve. Thus the X-curve and the Y-curves
tell us nothing about the 率 of 利益/興味. They only tell us what income
will be, if from some other source we can say what the 率 of 利益/興味
is. If nothing has happened to the 明言する/公表する of liquidity-preference and the
量 of money, so that the 率 of 利益/興味 is 不変の, then the
curve Y2' which intersects the new 投資 需要・要求する-schedule
vertically below the point where the curve Y1 intersected
the old 投資 需要・要求する-schedule will be the appropriate Y-curve,
and Y2' will be the new level of income.
Thus the 機能(する)/行事s used by the classical theory, すなわち, the 返答
of 投資 and the 返答 of the 量 saved out of a given income
to change in the 率 of 利益/興味, do not furnish 構成要素 for a theory
of the 率 of 利益/興味; but they could be used to tell us what the level
of income will be, given (from some other source) the 率 of 利益/興味;
and, alternatively, what the 率 of 利益/興味 will have to be, if the level
of income is to be 持続するd at a given 人物/姿/数字 (e.g. the level corresponding
to 十分な 雇用).
The mistake 起こる/始まるs from regarding 利益/興味 as the reward for waiting
as such, instead of as the reward for not-hoarding; just as the 率s of
return on 貸付金s or 投資s 伴う/関わるing different degrees of 危険, are
やめる 適切に regarded as the reward, not of waiting as such, but of running
the 危険. There is, in truth, no sharp line between these and the いわゆる
'pure' 率 of 利益/興味, all of them 存在 the reward for running the 危険
of 不確定 of one 肉親,親類d or another. Only ln the event of money 存在
used 単独で for 処理/取引s and never as a 蓄える/店 of value, would a different
theory become appropriate.
There are, however, two familiar points which might, perhaps, have 警告するd
the classical school that something was wrong. In the first place, it has
been agreed, at any 率 since the 出版(物) of Professor Cassel's Nature
and Necessity of 利益/興味, that it is not 確かな that the sum saved
out of a given income やむを得ず 増加するs when the 率 of 利益/興味 is
増加するd; 反して no one 疑問s that the 投資 需要・要求する-schedule 落ちるs
with a rising 率 of 利益/興味. But if the Y-curves and the X-curves
both 落ちる as the 率 of 利益/興味 rises, there is no 保証(人) that a given
Y-curve
will intersect a given X-curve anywhere at all. This 示唆するs that
it cannot be the Y-curve and the X-curve alone which 決定する
the 率 of 利益/興味.
In the second place, it has been usual to suppose that an 増加する in
the 量 of money has a 傾向 to 減ずる the 率 of 利益/興味, at
any 率 in the first instance and in the short period. Yet no 推論する/理由 has
been given why a change in the 量 of money should 影響する/感情 either the
投資 需要・要求する-schedule or the 準備完了 to save out of a given income.
Thus the classical school have had やめる a different theory of the 率
of 利益/興味 in 容積/容量 I 取引,協定ing with the theory of value from what they
have had in 容積/容量 II 取引,協定ing with the theory of money. They have seemed
undisturbed by the 衝突 and have made no 試みる/企てる, so far as I know,
to build a 橋(渡しをする) between the two theories. The classical school proper,
that is to say; since it is the 試みる/企てる to build a 橋(渡しをする) on the part of
the neo-classical school which has led to the worst muddles of all. For
the latter have inferred that there must be two sources of 供給(する)
to 会合,会う the 投資 需要・要求する-schedule; すなわち, 貯金 proper, which are
the 貯金 dealt with by the classical school, 加える the sum made
利用できる by any 増加する in the 量 of money (this 存在 balanced
by some 種類 of 徴収する on the public, called '軍隊d saving' or the like).
This leads on to the idea that there is a 'natural' or '中立の' or equilibrium' 率 of 利益/興味, すなわち, that 率 of 利益/興味 which
equates 投資 to classical 貯金 proper without any 新規加入 from
'軍隊d 貯金'; and finally to what, assuming they are on the 権利 跡をつける
at the start, is the most obvious 解答 of all, すなわち, that, if the
量 of money could only be kept constant in all circumstances,
非,不,無 of these 複雑化s would arise, since the evils supposed to result
from the supposed 超過 of 投資 over 貯金 proper would 中止する
to be possible. But at this point we are in 深い water. 'The wild duck
has dived 負かす/撃墜する to the 底(に届く)¾as 深い
as she can get¾and bitten 急速な/放蕩な 持つ/拘留する of
the 少しのd and 絡まる and all the rubbish that is 負かす/撃墜する there, and it would
need an extraordinarily clever dog to dive after and fish her up again.'
Thus the 伝統的な 分析 is 欠陥のある because it has failed to 孤立する
正確に the 独立した・無所属 variables of the system. Saving and 投資
are the determinates of the system, not the determinants. They are the
twin results of the system's determinants, すなわち, the propensity to 消費する,
the schedule of the ごくわずかの efficiency of 資本/首都 and the 率 of 利益/興味.
These determinants are, indeed, themselves コンビナート/複合体 and each is 有能な of
存在 影響する/感情d by 見込みのある changes in the others. But they remain 独立した・無所属
in the sense that their values cannot be inferred from one another. The
伝統的な 分析 has been aware that saving depends on income but it
has overlooked the fact that income depends on 投資, in such fashion
that, when 投資 changes, income must やむを得ず change in just that
degree which is necessary to make the change in saving equal to the change
in 投資.
Nor are those theories more successful which 試みる/企てる to make the 率
of 利益/興味 depend on 'the ごくわずかの efficiency of 資本/首都'. It is true
that in equilibrium the 率 of 利益/興味 will be equal to the ごくわずかの
efficiency of 資本/首都, since it will be profitable to 増加する (or 減少(する))
the 現在の 規模 of 投資 until the point of equality has been reached.
But to make this into a theory of the 率 of 利益/興味 or to derive the
率 of 利益/興味 from it 伴う/関わるs a circular argument, as Marshall discovered
after he had got half-way into giving an account of the 率 of 利益/興味
along these lines. For the 'ごくわずかの efficiency of 資本/首都' partly depends on the 規模
of 現在の 投資, and we must already know the 率 of 利益/興味 before
we can calculate what this 規模 will be. The 重要な 結論 is
that the 生産(高) of new 投資 will be 押し進めるd to the point at which
the ごくわずかの efficiency of 資本/首都 becomes equal to the 率 of 利益/興味;
and what the schedule of the ごくわずかの efficiency of 資本/首都 tells us, is,
not what the 率 of 利益/興味 is, but the point to which the 生産(高) of
new 投資 will be 押し進めるd, given the 率 of 利益/興味.
The reader will readily 高く評価する/(相場などが)上がる that the problem here under discussion
is a 事柄 of the most 根底となる theoretical significance and of 圧倒的な
practical importance. For the 経済的な 原則, on which the practical advice of 経済学者s has been almost invariably
based, has assumed, in 影響, that, cet. par., a 減少(する) in spending
will tend to lower the 率 of 利益/興味 and an 増加する in 投資 to
raise it. But if what these two 量s 決定する is, not the 率 of
利益/興味, but the aggregate 容積/容量 of 雇用, then our 見通し on the
機械装置 of the 経済的な system will be profoundly changed. A 減少(する)d
準備完了 to spend will be looked on in やめる a different light If, instead
of 存在 regarded as a factor which will, cet. par., 増加する 投資,
it is seen as a factor which will, cet. par., 減らす 雇用.