If the private domestic sector spends less than it earns overall and the nation runs a small external deficit, then the government can never achieve a budget surplus no matter what the level of national income.
Answer: True
The answer is True.
This question requires an understanding of the sectoral balances that can be derived from the National Accounts. But it also requires some understanding of the behavioural relationships within and between these sectors which generate the outcomes that are captured in the National Accounts and summarised by the sectoral balances.
Refreshing the balances (again) - we know that from an accounting sense, if the external sector overall is in deficit, then it is impossible for both the private domestic sector and government sector to run surpluses. One of those two has to also be in deficit to satisfy the accounting rules.
The important point is to understand what behaviour and economic adjustments drive these outcomes.
So here is the accounting (again). The basic income-expenditure model in macroeconomics can be viewed in (at least) two ways: (a) from the perspective of the sources of spending; and (b) from the perspective of the uses of the income produced. Bringing these two perspectives (of the same thing) together generates the sectoral balances.
From the sources perspective we write:
GDP = C + I + G + (X - M)
which says that total national income (GDP) is the sum of total final consumption spending (C), total private investment (I), total government spending (G) and net exports (X - M).
From the uses perspective, national income (GDP) can be used for:
GDP = C + S + T
which says that GDP (income) ultimately comes back to households who consume (C), save (S) or pay taxes (T) with it once all the distributions are made.
Equating these two perspectives we get:
C + S + T = GDP = C + I + G + (X - M)
So after simplification (but obeying the equation) we get the sectoral balances view of the national accounts.
(I - S) + (G - T) + (X - M) = 0
That is the three balances have to sum to zero. The sectoral balances derived are:
These balances are usually expressed as a per cent of GDP but that doesn't alter the accounting rules that they sum to zero, it just means the balance to GDP ratios sum to zero.
A simplification is to add (I - S) + (X - M) and call it the non-government sector. Then you get the basic result that the government balance equals exactly $-for-$ (absolutely or as a per cent of GDP) the non-government balance (the sum of the private domestic and external balances).
This is also a basic rule derived from the national accounts and has to apply at all times.
So what economic behaviour might lead to the outcome specified in the question?
If the nation is running an external deficit it means that the contribution to aggregate demand from the external sector is negative - that is net drain of spending - dragging output down. The reference to a "small" external deficit was to place doubt in your mind. In fact, it doesn't matter how large the external deficit is for this question.
Assume, now that the private domestic sector (households and firms) seeks to increase its net saving and is successful in doing so. Consistent with this aspiration, households may cut back on consumption spending and save more out of disposable income. The immediate impact is that aggregate demand will fall and inventories will start to increase beyond the desired level of the firms.
The firms will soon react to the increased inventory holding costs and will start to cut back production. How quickly this happens depends on a number of factors including the pace and magnitude of the initial demand contraction. But if the households persist in trying to save more and consumption continues to lag, then soon enough the economy starts to contract - output, employment and income all fall.
The initial contraction in consumption multiplies through the expenditure system as workers who are laid off also lose income and their spending declines. This leads to further contractions.
The declining income leads to a number of consequences. Net exports improve as imports fall (less income) but the question clearly assumes that the external sector remains in deficit. Total saving actually starts to decline as income falls as does induced consumption.
So the initial discretionary decline in consumption is supplemented by the induced consumption falls driven by the multiplier process.
The decline in income then stifles firms' investment plans - they become pessimistic of the chances of realising the output derived from augmented capacity and so aggregate demand plunges further. Both these effects push the private domestic balance further towards and eventually into surplus
With the economy in decline, tax revenue falls and welfare payments rise which push the public budget balance towards and eventually into deficit via the automatic stabilisers.
If the private sector persists in trying to increase its saving ratio then the contracting income will clearly push the budget into deficit and maintain a deficit.
So we would have an external deficit, a private domestic surplus and a budget deficit.
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