Look up the table on Federal Receipts and Outlays, by Major Category, in the most recent Economic Report of the President available in your library or on the Internet.
1. Complete the following table:
Sources: Department of the Treasury and Office of Management and Budget
[Billions of dollars; fiscal years]
Category. Total outlays Percentage of total outlays
National defense. 737.9 15.5%
International affairs 53.1 1.1%
Health 616.0 13%
Medicare 685.2 14.4%
Income security 514.2 11%
Social Security 1,107.1 23.3%
Net interest. 478.8 10%
Other 553.2 11.7%
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Total 4745.6 100%
2. Construct a pie chart showing the percentages of spending for each category in the total.
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Suppose a country has a national debt of $5,000 billion, a GDP of $10,000 billion, and a budget deficit of $100 billion.
1. How much will its new national debt be?
The new national debt = national debt of $5,000 billion + the budget deficit of $100 billion
So, the new national debt will be $5,100 billion ($5,000 + $100 = $5,100)
2. Compute its debt-GDP ratio.
Its debt-GDP ratio is $5,100 billion / $10,000 billion = 51%
3. Suppose its GDP grows by 1% in the next year and the budget deficit is again $100 billion. Compute its new level of the national debt and its new debt-GDP ratio.
Since the budget deficit is again $100 billion, and the new national debt equals the national debt plus the budget deficit.
So, next year, the new level of national debt will be $5,100 billion + $100 billion = $5,200 billion
Because the GDP grows by 1% in the next year, the new GDP will be $10,100 billion ( 10,000*(100%+1%) )
The new debt-GDP ratio will be $5,200 billion / $10,100 billion = 51.5% (51.48%)
Suppose a country’s debt rises by 10% and its GDP rises by 12%.
1. What happens to the debt-GDP ratio?
Suppose the national debt = D, GDP = P
The debt-GDP ratio = the national debt / GDP = D/P
If the debt rises by 10% and GDP rises by 12%, then
The new debt-GDP ratio = 110%D/112%P = (110%/112%)*(D/P) = 0.98*(D/P) = 98%(D/P)
The new debt-GDP ratio is 2% lower than the former ratio.
That means the ratio of the debt-GDP is decreasing and the government surplus, and likely due to inflation.
2. Does the relative level of the initial values affect your answer?
Suppose that the debt rises by 10% and GDP rises by 10%, then the new debt-GDP ratio will be the same as the initial ratio.
110%D/110%P = (110%/110%)*(D/P) = 1*(D/P)
Suppose that the debt rises by 5% and GDP rises by 10%, then the new debt-GDP ratio will be lower than the initial ratio.
110%D/110%P = (105%/110%)*(D/P) = 0.95*(D/P) = 95%(D/P)
Suppose that the debt rises by 10% and GDP rises by 5%, then the new debt-GDP ratio will be higher than the initial ratio.
110%D/110%P = (110%/105%)*(D/P) = 1.05*(D/P) = 105%(D/P)
So, the relative level of the initial values is likely to change the answer.