Suppose the existing stock of government debt is positive. The government’s intertemporal budget constraint implies which of the following are FALSE: Group of answer choices The primary surplus must always be positive in the future The present value of future primary surpluses must equal the value of outstanding debt The government can run deficits in the future The present value of future taxes must exceed the present value of future spending
Question
Suppose the existing stock of government debt is positive. The government’s intertemporal budget constraint implies which of the following are FALSE:
Group of answer choices
The primary surplus must always be positive in the future
The present value of future primary surpluses must equal the value of outstanding debt
The government can run deficits in the future
The present value of future taxes must exceed the present value of future spending
Solution
The intertemporal budget constraint for a government implies that the present value of its future primary surpluses (tax revenue minus non-interest government spending) must be at least as large as its current debt. This is because the government needs to generate enough surpluses in the future to pay off its existing debt.
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The primary surplus must always be positive in the future: FALSE. The primary surplus does not always have to be positive. There can be years where the government runs a primary deficit (where non-interest government spending exceeds tax revenue), as long as it is offset by primary surpluses in other years.
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The present value of future primary surpluses must equal the value of outstanding debt: TRUE. This is the definition of the intertemporal budget constraint.
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The government can run deficits in the future: TRUE. The government can run deficits in the future, as long as these are offset by surpluses in other years such that the present value of future primary surpluses equals the value of the outstanding debt.
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The present value of future taxes must exceed the present value of future spending: FALSE. This statement is too strong. The present value of future taxes must exceed the present value of future non-interest spending (i.e., the primary spending), not total spending. The difference between the present value of future taxes and the present value of future primary spending is the primary surplus, which must be large enough to cover the existing debt.
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