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The Optimal Economic Uncertainty Index: A Grid Search Application

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Abstract

A noteworthy characteristic of empirical studies on the economic uncertainty index is that very few published papers depend on normative analysis. Therefore, normative analysis cannot be used to refute the precision of the economic uncertainty index; the lack of precision is simply the outcome of a misspecification of a commonly used model and a complex data collection process. To overcome this shortcoming, this paper uses the optimal form of the economic uncertainty index and determines its empirical validity based on a sample of 7 countries, including 3 developed and 4 developing countries. Using a grid search optimization procedure, the findings provide some policy implications; the optimal economic uncertainty index can characterize the uncertainty level of macroeconomic conditions and serve as a guiding policy tool for improving uncertainty levels in macroeconomic conditions. The estimated response function of the optimal economic uncertainty index suggests that the exchange rate, inflation, interest rate and output are useful indicators for central banks’ decision-making and that the optimal index supports the prediction of economic uncertainty.

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Notes

  1. The systemic financial risk entails crises that result in a sharp decline in economic activities and asset values (cf. World Economic Forum 2008, p. 7).

  2. In this paper, the potential value is computed by running the Hodrick-Prescott filter on the actual value. The potential variable can also be estimated by employing the Baxter and King (BP) filter and the unobservable components (UC) model. Their results did not vary a great deal compared to the Hodrick-Prescott approach.

  3. One may use other optimization algorithms, such as the SIMPLEX algorithm, the GENETIC search method or the BFGS algorithm, to find the optimal reaction coefficients; however, this approach is not advisable when the models are large (Levieuge 2008).

  4. One may soften the economic policy to mitigate the negative level of the economic uncertainty index if the above process is the other way round.

  5. The real exchange rate used in this paper is the real effective exchange rate (REER). Real appreciation means that the value of the domestic currency is increasing relative to its trading partners, and real depreciation means that the value of the domestic currency is decreasing relative to its trading partners.

  6. Cf. Golob (1994) for a further discussion of how economic uncertainty interacts with the economy.

  7. In our example, given \(A_{1}\), we assume that \(\Omega \) is the identity matrix.

  8. The sample RATS codes (for the grid search procedure) in estimating the optimal economic uncertainty index and the loss function are available online at https://staf-digital.upsi.edu.my/Fakulti/FPE/gan.pt/Optimaleconomicuncertaintyindex_US_forCE_.PRG (Note this sample program works when executed in RATS version 6.1 onwards).

  9. See Cf. International Monetary Fund (2005) for further explanations of the real effective exchange rate.

  10. The real interest rate is measured as the difference between the nominal interest rate and the rate of inflation.

  11. Equation 5 is not included in the GMM method because the actual estimate of economic uncertainty index cannot be determined; however, the optimal form (i.e., best form) of the economic uncertainty index could be found through the use of the grid search optimization procedure.

  12. The appropriate values of the loss function remain debatable (see Levin and Williams 2003). The parameter values chosen here are fairly standard in the monetary policy literature (Jaaskela (2005): p. 146).

  13. Evidence is available from the central banks’ website, Ito and Hayashi (2004) and the International Monetary Fund (2009). Among others, this objective is also reported by (1) Indonesia—Fane (2005), (2) Thailand—Hataiseree and Rattanalungkarn (1988) and (3) Malaysia—McCauley (2006)

  14. The Phillips-Perron unit root test allows us to reject the null hypothesis regarding the existence of a non-stationary or unit root.

  15. This paper presents only a short summary of the results because the complete results require more space than is allowed here.

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Acknowledgments

The author is very grateful to the anonymous referees for their helpful comments and constructive suggestions. The author would like to thank Professor Dr. Takatoshi Ito from the University of Tokyo, who suggested the idea of positivism and normativism in the study of macroeconomic conditions during a Postgraduate Seminar on 14\(^{\mathrm{th}}\) August 2008 organized by the University of Malaya. Additionally, the author acknowledges financial support from the ’Fundamental Research Grant Scheme (FRGS), Ministry of Higher Education Malaysia’ under Grant 2012-0018-106-02.

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Correspondence to Pei-Tha Gan.

Appendix

Appendix

See Table 5.

Table 5 Summary statistics for the Phillips-Perron (PP) unit root test

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Gan, PT. The Optimal Economic Uncertainty Index: A Grid Search Application. Comput Econ 43, 159–182 (2014). https://doi.org/10.1007/s10614-013-9366-y

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