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Infinite Debt Rollover in Stochastic Economies / Narayana R. Kocherlakota.

By: Contributor(s): Material type: TextTextSeries: Working Paper Series (National Bureau of Economic Research) ; no. w30409.Publication details: Cambridge, Mass. National Bureau of Economic Research 2022.Description: 1 online resource: illustrations (black and white)Subject(s): Other classification:
  • E43
  • E52
  • E62
Online resources: Available additional physical forms:
  • Hardcopy version available to institutional subscribers
Abstract: This paper shows that there is more scope for a borrower to engage in a sustainable infinite debt rollover (a "Ponzi scheme") when interest/growth rates are stochastic. In this context, I prove that the relevant "r vs. g" comparison uses the yield r_{long} to an infinite-maturity zero-coupon bond. I show that r_{long} is lower than the (risk-neutral) expectation of the short-term yield when it is variable, and that r_{long} is close to the minimal realization of the short-term yield when it is highly persistent. The paper applies these results to illustrative heterogeneous agent dynamic stochastic general equilibrium models to obtain weak sufficient conditions for the existence of public debt bubbles.
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August 2022.

This paper shows that there is more scope for a borrower to engage in a sustainable infinite debt rollover (a "Ponzi scheme") when interest/growth rates are stochastic. In this context, I prove that the relevant "r vs. g" comparison uses the yield r_{long} to an infinite-maturity zero-coupon bond. I show that r_{long} is lower than the (risk-neutral) expectation of the short-term yield when it is variable, and that r_{long} is close to the minimal realization of the short-term yield when it is highly persistent. The paper applies these results to illustrative heterogeneous agent dynamic stochastic general equilibrium models to obtain weak sufficient conditions for the existence of public debt bubbles.

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