In a closed economy, saving and investment must be equal, but this is not the case in an open economy. In the following problem, you will explore how saving and investment are connected to the international flow of capital and goods in an economy. Before delving into the relationship between these various components of an economy, you will be asked to recall some relationships between aggregate variables that will be useful in your analysis. Recall the components that make up GDP. National income (Y) equals total expenditure on the economy's output of goods and services. Thus, where C = consumption, I = gross investment, G = government spending, and NX = net exports, Y is defined as follows:
Y =
National saving (S) is the income of the nation that is left after paying for government spending and consumption. Therefore, S is defined as follows:
S =
Re-arranging the previous equation and solving for Y yields Y =. Plugging this into the original equation showing the various components of income results in the following relationship:
S =
This is equivalent to S =, since net exports must equal net capital outflow (NCO, also known as net foreign investment).
Now suppose that a country is experiencing balanced trade. Determine the relationships between the entries in the following table and enter these relationships using the following symbols: > (greater than), < (less than), or = (equal to).
Outcomes of Balanced Trade
Net Exports 0
Exports Imports
Y C + I + G
Saving Gross Investment
Net Capital Outflow 0

Y = C + I + G + NX

S = Y - G - C

Y = S + G + C

S = I + NX

S = I + NCO

         Outcomes of Balanced Trade        

Net Exports                   =                0

Exports                          =            Imports

Y                                     =            C + I + G

Saving                            =        Gross Investment

Net Capital Outflow      =                 0

Explanation:

Recall the components that make up GDP. National income (Y) equals total expenditure on the economy's output of goods and services. Thus, where C = consumption, I = gross investment, G = government spending, and NX = net exports, Y is defined as follows:

Y = C + I + G + NX

National saving (S) is the income of the nation that is left after paying for government spending and consumption. Therefore, S is defined as follows:

S = Y - G - C

Re-arranging the previous equation and solving for Y yields

S + G + C = Y

Y = S + G + C

Plugging this into the original equation showing the various components of income results in the following relationship:

S + G + C = C + I + G + NX

S = C + I + G + NX - G - C

S = C - C + I + G - G + NX

S = I + NX

This is equivalent to S = I + NCO, since net exports must equal net capital outflow (NCO, also known as net foreign investment).

Now suppose that a country is experiencing balanced trade. Determine the relationships between the entries in the following table and enter these relationships using the following symbols: > (greater than), < (less than), or = (equal to).

        Outcomes of Balanced Trade        

Net Exports                   =                0

Exports                          =            Imports

Y                                     =            C + I + G

Saving                            =        Gross Investment

Net Capital Outflow      =                 0