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Public-Debt Sustainability, Real Exchange Rate, and Country-Specific Saving Rates

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Abstract

The recent euro crisis has caused concerns both with respect to public-debt sustainability and the stability of exchange rates of highly indebted countries. This paper investigates these concerns in a two-country OLG model of the world economy with country-specific saving rates to mimic Asian economies. It is found that the concerns with respect to debt-sustainability are warranted since limits for public debt levels do exist. The concerns regarding exchange-rate stability are not warranted since unilateral debt expansion does not impact the real exchange at all, or the impacts are independent of the external balance of the debt-expanding country.

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Notes

  1. Before the outburst of the euro crisis Goyette (2009) and Wiedemer et al. (2009) uttered similar concerns with respect to the stability of the US dollar.

  2. Similarly, the hugely negative external balance of the United States of America (IMF 2006, 2008) did apparently not trigger a visible depreciation of the US dollar.

  3. In times of low and similar inflation rates among advanced countries, nominal and real exchange rates evolve largely parallel.

  4. Cobb-Douglas production functions are defined as similar if production elasticities (or, respectively, capital income shares) are internationally equal, while the scale parameter reflecting the technological level might differ across countries.

  5. Henceforth all variables referring to Foreign are denoted by an asterisk.

  6. The proofs of this and all following propositions, lemmas and corollaries can be found in Farmer (2010).

  7. The explanation for the shape of the curve plotted in Fig. 2 is similar to that used by Rankin and Roffia (2003, p. 224) for their closed economy.

  8. In reality, both mechanisms are at work as recently illustrated by the Greek example.

  9. This is another way to show that the real exchange rate effect of public debt variations is independent of the net foreign asset position, and this remains true whether similar or dissimilar production technologies are assumed.

  10. The transitional dynamics were calculated numerically using the NLP solver of GAMS 2.5, version 21.5.

  11. Zee’s (1987) conclusion appears to be based on his presumption of asymptotic stability of the real exchange rate dynamics. Both the irresponsiveness of the initial real exchange rate and the dependence of the exchange rate dynamics thereafter on the sign of the net foreign asset position (Zee 1987, p. 611) can be traced back to this presumption.

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Correspondence to Karl Farmer.

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The author is grateful to the participants of the session on Macroeconomic Policy at the IAES conference in Prague, March 2010, for constructive criticism which helped to improve the paper. Moreover, the comments of the editor and of an anonymous referee were helpful in adjusting the original manuscript according to IAER’s guidelines.

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Farmer, K. Public-Debt Sustainability, Real Exchange Rate, and Country-Specific Saving Rates. Int Adv Econ Res 17, 45–65 (2011). https://doi.org/10.1007/s11294-010-9284-x

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