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Imperfect Intersectoral Labor Mobility and Monetary Shocks in a Small Open Economy

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Abstract

In this paper, we model the assumption of imperfect labor mobility across sectors in the New Open-Economy Macroeconomics framework to assess its impact on output, inflation, and welfare. Following a permanent home monetary expansion in a small open economy, we find that the above-mentioned assumption leads to: (i) less expansionary effects on (traded) output in the short term, although also less contractionary in the long term; (ii) lower short-term inflation but higher in the long term; and (iii) less intertemporal welfare, with even a ‘beggar thyself’ problem being possible.

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Notes

  1. See, for instance, Woodford (2003); Christiano (2004); Altig et al. (2005), and Huang (2006).

  2. As stated in Corsetti and Pesenti (2001), and in Tille (2001) by a negative terms of trade externality, in the framework of a two-country model without nontraded goods sector and with perfect mobility of labor.

  3. The role of relative price dynamics in monetary policy shocks is highlighted in, among others, Bils et al (2003).

  4. Although the assumption of an “internationally traded bond denominated in terms of the traded goods” could be changed, in the sense of considering a variety of assets with different denominations (for instance, traded goods which can be exchanged for nontraded goods), most contributions in the literature assume such an assumption for two main reasons: firstly, for analytical simplicity and secondly to capture the fact that a substantial number of less developed countries link their foreign debt to their exports.

  5. We adapt the approach of Casas (1984) to this framework.

  6. This means that we assume that labor has not cost of reallocating within each sector, so that wages and hours worked in different firms of the same sector will be same. Therefore, in line with empirical evidence shown in Davis and Haltiwanger (1991), we assume that the difference of wages and hours is larger between, than within, sectors. However, note that if labor had no costs of moving across sectors (if ε tends to infinity), households would set the same wage in both sectors (W T = W N ). This is a difference from others papers that model the imperfect intersectoral labor mobility, such as Agénor and Santaella (1998). In their model, the case of perfect mobility of labor is not sufficient to establish equality between sectoral wage rates, because wages in the traded good sector are based on efficiency factors.

  7. This equation is obtained by taking into account that: \( \hat C - \widehat{\bar C} = \widehat{\bar P} - \hat P - \left( {{{\widehat{\bar P}}_T} - {{\hat P}_T}} \right) \)

  8. Since firms in the traded good sector are price takers and accordingly cannot pass on higher wages to prices.

  9. Combining Eqs. (1.8), (2.1), (2.3), (2.5)−(2.9) and (2.11)–(2.14), shown in Table 1 and 2 in Appendix.

  10. The explicit expression for \( {\widehat{\bar W}_N} \) can be obtained from Eqs. given in Tables 1 and 2.

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Correspondence to Juan Antonio Garcia-Cebro.

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The authors wish to thank two anonymous referees for helpful comments and suggestions.

Appendix

Appendix

Table 1 Short term log-linearization
Table 2 Long term log-linearization

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Garcia-Cebro, J.A., Varela-Santamaria, R. Imperfect Intersectoral Labor Mobility and Monetary Shocks in a Small Open Economy. Open Econ Rev 22, 613–633 (2011). https://doi.org/10.1007/s11079-009-9138-4

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