The Debt Capacity of a Government

Working Paper: NBER ID: w29434

Authors: Bernard Dumas; Paul Ehling; Chunyu Yang

Abstract: In a deterministic overlapping-generations economy with production and physical capital, the market value of debt is not necessarily equal to the present discounted value of future budget surpluses: it can be positive without any budget surpluses being in the offing, because debt incorporates a rational bubble. Yet the dynamics of debt remain a function of the dynamics of the primary budget deficit. The true fiscal cost of excessive government debt issuance cannot be assessed just from the current rate of interest or any current macroeconomic variable. Rather, it should be assessed in a dynamic context reflecting anticipated deficits and population growth going forward. As a way to study their joint behavior, we specify the variation of a structural deficit in the form of an underfunded social-security scheme. We define debt capacity as the level of debt that can be just sustained without a change of policy all the way to an unstable steady state. When it starts below the capacity, the debt converges to a stable steady state, in which the bubble is sustained. Above capacity the bubble unravels and the deficit cannot be financed. In several realistic scenarios occurring in economies, we calculate the needed policy response, which is the true “fiscal cost” of exceeding debt capacity.

Keywords: government debt; debt capacity; fiscal policy; budget deficits; overlapping generations model

JEL Codes: E13; E43; E44; E50; E62; E63; H30; H62; H63; H68


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
Existence of a bubble (E32)Market value of government debt (H63)
Exceeding debt capacity (H74)Ability to finance deficits (H68)
Anticipated deficits (H68)Dynamics of debt sustainability (F34)
Population growth (J11)Dynamics of debt sustainability (F34)
Primary budget deficit (H68)Debt dynamics (H63)

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