# 9.4 The national saving and investment identity  (Page 4/16)

 Page 4 / 16

In the short run, trade imbalances can be affected by whether an economy is in a recession or on the upswing. A recession tends to make a trade deficit smaller, or a trade surplus larger, while a period of strong economic growth tends to make a trade deficit larger, or a trade surplus smaller.

As an example, note in [link] that the U.S. trade deficit declined by almost half from 2006 to 2009. One primary reason for this change is that during the recession, as the U.S. economy slowed down, it purchased fewer of all goods, including fewer imports from abroad. However, buying power abroad fell less, and so U.S. exports did not fall by as much.

Conversely, in the mid-2000s, when the U.S. trade deficit became very large, a contributing short-term reason is that the U.S. economy was growing. As a result, there was lots of aggressive buying in the U.S. economy, including the buying of imports. Thus, a rapidly growing domestic economy is often accompanied by a trade deficit (or a much lower trade surplus), while a slowing or recessionary domestic economy is accompanied by a trade surplus (or a much lower trade deficit).

When the trade deficit rises, it necessarily means a greater net inflow of foreign financial capital . The national saving and investment identity teaches that the rest of the economy can absorb this inflow of foreign financial capital in several different ways. For example, the additional inflow of financial capital from abroad could be offset by reduced private savings, leaving domestic investment and public saving unchanged. Alternatively, the inflow of foreign financial capital could result in higher domestic investment, leaving private and public saving unchanged. Yet another possibility is that the inflow of foreign financial capital could be absorbed by greater government borrowing, leaving domestic saving and investment unchanged. The national saving and investment identity does not specify which of these scenarios, alone or in combination, will occur—only that one of them must occur.

## Key concepts and summary

The national saving and investment identity is based on the relationship that the total quantity of financial capital supplied from all sources must equal the total quantity of financial capital demanded from all sources. If S is private saving, T is taxes, G is government spending, M is imports, X is exports, and I is investment, then for an economy with a current account deficit and a budget deficit:

A recession tends to increase the trade balance (meaning a higher trade surplus or lower trade deficit), while economic boom will tend to decrease the trade balance (meaning a lower trade surplus or a larger trade deficit).

## Problems

Imagine that the U.S. economy finds itself in the following situation: a government budget deficit of $100 billion, total domestic savings of$1,500 billion, and total domestic physical capital investment of $1,600 billion. According to the national saving and investment identity, what will be the current account balance? What will be the current account balance if investment rises by$50 billion, while the budget deficit and national savings remain the same?

[link] provides some hypothetical data on macroeconomic accounts for three countries represented by A, B, and C and measured in billions of currency units. In [link] , private household saving is SH, tax revenue is T, government spending is G, and investment spending is I.

Macroeconomic accounts
A B C
SH 700 500 600
T 00 500 500
G 600 350 650
I 800 400 450
1. Calculate the trade balance and the net inflow of foreign saving for each country.
2. State whether each one has a trade surplus or deficit (or balanced trade).
3. State whether each is a net lender or borrower internationally and explain.

Imagine that the economy of Germany finds itself in the following situation: the government budget has a surplus of 1% of Germany’s GDP; private savings is 20% of GDP; and physical investment is 18% of GDP.

1. Based on the national saving and investment identity, what is the current account balance?
2. If the government budget surplus falls to zero, how will this affect the current account balance?

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Card 14 / 21: What are the similarities between a consumer’s budget constraint and society’s production possibilities frontier, not just graphically but analytically?