Chapter 31. The Impacts of Government Borrowing

# 31.1 How Government Borrowing Affects Investment and the Trade Balance

### Learning Objectives

By the end of this section, you will be able to:

• Explain the national saving and investment identity in terms of demand and supply
• Evaluate the role of budget surpluses and trade surpluses in national saving and investment identity

When governments are borrowers in financial markets, there are three possible sources for the funds from a macroeconomic point of view: (1) households might save more; (2) private firms might borrow less; and (3) the additional funds for government borrowing might come from outside the country, from foreign financial investors. Let’s begin with a review of why one of these three options must occur, and then explore how interest rates and exchange rates adjust to these connections.

# The National Saving and Investment Identity

The national saving and investment identity, first introduced in The International Trade and Capital Flows chapter, provides a framework for showing the relationships between the sources of demand and supply in financial capital markets. The identity begins with a statement that must always hold true: the quantity of financial capital supplied in the market must equal the quantity of financial capital demanded.

The U.S. economy has two main sources for financial capital: private savings from inside the U.S. economy and public savings.

$latex Total\;savings = Private\;savings\;(S)\;+\;Public\;savings\;(T\;-\;G)$

These include the inflow of foreign financial capital from abroad. The inflow of savings from abroad is, by definition, equal to the trade deficit, as explained in The International Trade and Capital Flows chapter. So this inflow of foreign investment capital can be written as imports (M) minus exports (X). There are also two main sources of demand for financial capital: private sector investment (I) and government borrowing. Government borrowing in any given year is equal to the budget deficit, and can be written as the difference between government spending (G) and net taxes (T). Let’s call this equation 1.

$latex Quantity\;supplied\;of\;financial\;capital = Quantity\;demanded\;of\;financial\;capital$
$latex Private\;savings\;+\;Inflow\;of\;foreign\;savings = Private\;investment\;+\;Government\;budget\;deficit$
$latex S\;+\;(M\;-\;X) = I\;+\;(G\;-\;T)$

Governments often spend more than they receive in taxes and, therefore, public savings (T – G) is negative. This causes a need to borrow money in the amount of (G – T) instead of adding to the nation’s savings. If this is the case, governments can be viewed as demanders of financial capital instead of suppliers. So, in algebraic terms, the national savings and investment identity can be rewritten like this:

$latex Private\;investment = Private\;savings\;+\;Public\;savings\;+\;Trade\;deficit$
$latex I = S\;+\;(T\;-\;G)\;+\;(M\;-\;X)$

Let’s call this equation 2. A change in any part of the national saving and investment identity must be accompanied by offsetting changes in at least one other part of the equation because the equality of quantity supplied and quantity demanded is always assumed to hold. If the government budget deficit changes, then either private saving or investment or the trade balance—or some combination of the three—must change as well. Figure 1 shows the possible effects.

The national saving and investment identity must always hold true because, by definition, the quantity supplied and quantity demanded in the financial capital market must always be equal. However, the formula will look somewhat different if the government budget is in deficit rather than surplus or if the balance of trade is in surplus rather than deficit. For example, in 1999 and 2000, the U.S. government had budget surpluses, although the economy was still experiencing trade deficits. When the government was running budget surpluses, it was acting as a saver rather than a borrower, and supplying rather than demanding financial capital. As a result, the national saving and investment identity during this time would be more properly written:

$latex Quantity\;supplied\;of\;financial\;capital = Quantity\;demanded\;of\;financial\;capital$
$latex Private\;savings\;+\;Trade\;deficit\;+\;Government\;surplus = Private\;investment$
$latex S\;+\;(M\;-\;X)\;+\;(T\;-\;G) = I$

Let’s call this equation 3. Notice that this expression is mathematically the same as equation 2 except the savings and investment sides of the identity have simply flipped sides.

During the 1960s, the U.S. government was often running a budget deficit, but the economy was typically running trade surpluses. Since a trade surplus means that an economy is experiencing a net outflow of financial capital, the national saving and investment identity would be written:

$latex Quantity\;supplied\;of\;financial\;capital = Quantity\;demanded\;of\;financial\;capital$
$latex Private\;savings = Private\;investment\;+\;Outflow\;of\;foreign\;savings\;+\;Government\;budget\;deficit$
$latex S = I\;+\;(X\;-\;M)\;+\;(G\;-\;T)$

Instead of the balance of trade representing part of the supply of financial capital, which occurs with a trade deficit, a trade surplus represents an outflow of financial capital leaving the domestic economy and being invested elsewhere in the world.

$latex Quantity\;supplied\;of\;financial\;capital = Quantity\;demanded\;of\;financial\;capital\;demand$
$latex Private\;savings = Private\;investment\;+\;Government\;budget\;deficit\;+\;Trade\;surplus$
$latex S = I\;+\;(G\;-\;T)\;+\;(X\;-\;M)$

The point to this parade of equations is that the national saving and investment identity is assumed to always hold. So when you write these relationships, it is important to engage your brain and think about what is on the supply side and what is on the demand side of the financial capital market before you put pencil to paper.

As can be seen in Figure 2, the Office of Management and Budget shows that the United States has consistently run budget deficits since 1977, with the exception of 1999 and 2000. What is alarming is the dramatic increase in budget deficits that has occurred since 2008, which in part reflects declining tax revenues and increased safety net expenditures due to the Great Recession. (Recall that T is net taxes. When the government must transfer funds back to individuals for safety net expenditures like Social Security and unemployment benefits, budget deficits rise.) These deficits have implications for the future health of the U.S. economy.

A rising budget deficit may result in a fall in domestic investment, a rise in private savings, or a rise in the trade deficit. The following modules discuss each of these possible effects in more detail.

# Key Concepts and Summary

A change in any part of the national saving and investment identity suggests that if the government budget deficit changes, then either private savings, private investment in physical capital, or the trade balance—or some combination of the three—must change as well.

### Self-Check Questions

1. In a country, private savings equals 600, the government budget surplus equals 200, and the trade surplus equals 100. What is the level of private investment in this economy?
2. Assume an economy has a budget surplus of 1,000, private savings of 4,000, and investment of 5,000.
1. Write out a national saving and investment identity for this economy.
2. What will be the balance of trade in this economy?
3. If the budget surplus changes to a budget deficit of 1000, with private saving and investment unchanged, what is the new balance of trade in this economy?

### Review Questions

1. Based on the national saving and investment identity, what are the three ways the macroeconomy might react to greater government budget deficits?
2. How would you expect larger budget deficits to affect private sector investment in physical capital? Why?

### Critical Thinking Questions

1. Assume there is no discretionary increase in government spending. Explain how an improving economy will affect the budget balance and, in turn, investment and the trade balance.
2. Explain how decreased domestic investments that occur due to a budget deficit will affect future economic growth.
3. The U.S. government has shut down a number of times in recent history. Explain how a government shutdown will affect the variables in the national investment and savings identity. Could the shutdown affect the government budget deficit?

### Solutions

$latex \begin{array}{r @{{}={}} l}Quantity\;supplied\;of\;financial\;capital & Quantity\;demanded\;of\;financial\;capital \\ S\;+\;(T\;-\;G) & I\;+\;(X\;-\;M) \\ 600\;+\;200 & I\;+\;100 \\ I & 700 \end{array}$
$latex \begin{array}{r @{{}={}} l}Quantity\;supplied\;of\;financial\;capital & Quantity\;demanded\;of\;financial\;capital \\ S\;+\;(T\;-\;G) & I\;+\;(X\;-\;M) \end{array}$
$latex \begin{array}{r @{{}={}} l}Quantity\;supplied\;of\;financial\;capital & Quantity\;demanded\;of\;financial\;capital \\ S\;+\;(M\;-\;X) & I\;+\;(G\;-\;T) \\ 4000\;+\;2000 & 5000\;+\;1000 \end{array}$