When a government runs a continuous deficit (spending more than they are receiving in revenue), the risk is that the accumulated public spending will build up over time and cause inflation.
Answer: False
The answer is False.
This question tests whether you understand that fiscal deficits are just the outcome of two flows which have a finite lifespan. Flows typically feed into stocks (increase or decrease them) and in the case of deficits, under current institutional arrangements, they increase public debt holdings.
So the expenditure impacts of deficit exhaust each period and underpin production and income generation and saving. Aggregate saving is also a flow but can add to stocks of financial assets when stored.
Under current institutional arrangements (where governments unnecessarily issue debt to match its net spending $-for-$) the deficits will also lead to a rise in the stock of public debt outstanding. But of-course, the increase in debt is not a consequence of any "financing" imperative for the government because a sovereign government is never revenue constrained being the monopoly issuer of the currency.
The point is that there is no inflation risk per se with continuous fiscal deficits. The only time inflation becomes a risk from the demand side if nominal spending outstrips the capacity of the real economy to expand output.
A continuously increasing fiscal deficit might create those conditions, but a correctly calibrated continuous fiscal deficit will not because it will be just filling the non-government spending gap.
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