To determine the budget deficit given the values for savings, investment, imports, and exports, we follow these steps:
1. Identify the Given Values:
- Savings: [tex]$3 trillion
- Investment: $[/tex]4 trillion
- Imports: [tex]$4 trillion
- Exports: $[/tex]3 trillion
2. Calculate Net Exports:
Net exports is calculated as the difference between exports and imports.
[tex]\[
\text{Net Exports} = \text{Exports} - \text{Imports} = 3 \text{ trillion dollars} - 4 \text{ trillion dollars} = -1 \text{ trillion dollars}
\][/tex]
3. Apply the National Savings and Investment Identity:
The national savings and investment identity states that:
[tex]\[
\text{Savings} - \text{Investment} = \text{Net Exports} + \text{Budget Deficit}
\][/tex]
Rearrange this equation to solve for the budget deficit:
[tex]\[
\text{Budget Deficit} = \text{Savings} - \text{Investment} - \text{Net Exports}
\][/tex]
4. Insert the Given Values:
[tex]\[
\text{Budget Deficit} = 3 \text{ trillion dollars} - 4 \text{ trillion dollars} - (-1 \text{ trillion dollars})
\][/tex]
5. Perform the Calculation:
[tex]\[
\text{Budget Deficit} = 3 \text{ trillion dollars} - 4 \text{ trillion dollars} + 1 \text{ trillion dollars}
\][/tex]
[tex]\[
\text{Budget Deficit} = 0
\][/tex]
Thus, the budget deficit is $0. The correct answer is:
[tex]\[
\boxed{0}
\][/tex]
