Skip to main content
Log in

An interval method for studying the relationship between the Australian dollar exchange rate and the gold price

  • Published:
Journal of Systems Science and Complexity Aims and scope Submit manuscript

Abstract

This paper proposes an interval method to explore the relationship between the exchange rate of Australian dollar against US dollar and the gold price, using weekly, monthly and quarterly data. With the interval method, interval sample data are formed to present the volatility of variables. The ILS approach is extended to multi-model estimation and the computational schemes are provided. The empirical evidence suggests that the ILS estimates well characterize how the exchange rate relates to the gold price, both in the long-run and short-run. The comparison between the interval and point methods indicates that the difference between the OLS and the ILS estimates is increasing from weekly data to quarterly data, since the lowest frequency point data lost the most information of volatility.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. Froot and K. Rogoff, Perspectives on PPP and long-run real exchange rates, Handbook of International Economics, 1995, 3; 1647–1688.

    Article  Google Scholar 

  2. K. Rogoff, The purchasing power parity puzzle, Journal of Economic Literature, 1996, 34; 647–668.

    Google Scholar 

  3. R. MacDonald and L. Ricci, Purchasing power parity and new trade theory, IMF Working Paper, 2002, http://www.imf.org/external/pubs/ft/wp/2002/wp0232.pdf.

  4. Y. Chen and K. Rogoff, Commodity currencies, Journal of International Economics, 2003, 60; 133–160.

    Article  Google Scholar 

  5. P. Cashin, L. Cespedes, and R. Sahay, Commodity currencies and the real exchange rate, Journal of Development Economics, 2004, 75; 239–268.

    Article  Google Scholar 

  6. S. Zhou, The response of real exchange rates to farious economic shocks, Southern Economic Journal, 1995, 61(4); 936–954.

    Article  Google Scholar 

  7. K. Chaudhuri and B. C. Daniel, Long-run equilibrium real exchange rates and oil prices, Economics Letters, 1998, 58(2); 231–238.

    Article  MATH  Google Scholar 

  8. J. Menon, Exchange rate pass-through, Journal of Economic Surveys, 1995, 9(2); 197–231.

    Article  Google Scholar 

  9. P. R. Krugman, Pricing to Market When the Exchange Rate Changes, in Real-Financial Linkages among Open Economies, MIT Press, Cambridge, MA, Cambridge, 1987.

    Google Scholar 

  10. A. Almeida, C. Goodhart, and R. Payne, The effects of macroeconomic news on high frequency exchange rate behavior, Journal of Financial and Quantitative Analysis, 1998, 33; 383–408.

    Article  Google Scholar 

  11. T. Andersen, T. Bollerslev, F. X. Diebold, and C. Vega, Micro effects of macro announcements: Real-time price discovery in foreign exchange, American Economic Review, 2003, 93; 38–62.

    Article  Google Scholar 

  12. G. M. Mudd, Gold mining in Australia: Linking historical trends and environmental and resource sustainability, Environmental Science and Policy, 2007, 10; 629–644.

    Article  Google Scholar 

  13. M. B. Huleatt and A. L. Jaques, Australian gold exploration 1976–2003, Resources Policy, 2005, 30; 29–37.

    Google Scholar 

  14. R. E. Moore, Interval Analysis, Prentice-Hall Press, Englewood Cliffs, New Jersey, 1966.

    MATH  Google Scholar 

  15. E. Hansen and W. Walster, Global Optimization Using Interval Analysis, Marcel Dekker, New York, 2003.

    Google Scholar 

  16. G. F. Corliss and R. B. Kearfortt, Rigorous Global Search: Industrial Applications, in Developments in Reliable Computing, Kluwer Academic Publishers, Dordrecht, 1999: 1–16.

    Google Scholar 

  17. R. B. Kearfott, Interval computations: introduction, uses, and resources, Euromath Bulletin, 1996, 2(1); 95–112.

    MathSciNet  Google Scholar 

  18. A. Korvin, C. Hu, and P. Chen, Generating and applying rule for interval valued fuzzy oservations, Lecture Notes in Computer Science, 2005, 3177; 279–284.

    Article  Google Scholar 

  19. Z. H. Hu, Reliable optimal production control with Cobb-Douglas model, Reliable Computing, 1998, 4(1); 63–69.

    Article  MATH  Google Scholar 

  20. M. E. Jerrell, Interval arithmetic for input-output models with inexact data, Computational Economics, 1997, 10(1); 89–100.

    Article  MathSciNet  MATH  Google Scholar 

  21. C. Y. Hu and L. T. He, An application of interval methods to stock market forecasting. Reliable Computing, 2007, 13(5); 423–434.

    Article  MathSciNet  MATH  Google Scholar 

  22. L. T. He and C. Y. Hu, Impacts of interval measurement on studies of economic variability: Evidence from stock market variability forecasting, Risk Finance, 2007, 8(5); 489–507.

    Article  MathSciNet  Google Scholar 

  23. A. H. Bentbib, Solving the full rank interval least squares problem, Applied Numerical Mathematics, 2002, 41(2); 283–294.

    Article  MathSciNet  MATH  Google Scholar 

  24. D. M. Gay, Interval least squaresa diagnostic tool, in reliability in Computing: The role of interval methods in scientific computing, Academic Press Professional, San Diego, CA, USA, 1988.

    Google Scholar 

  25. S. Schon and H. Kutterer, Using zonotopes for overestimation-free interval least-squares-some geodetic applications, Reliable Computing, 2005, 11(2); 137–155.

    Article  MathSciNet  Google Scholar 

  26. B. Hayes, A lucid interval, American Scientist, 2003, 91(6); 484–488.

    Google Scholar 

  27. K. Douglas, M. Pearce, and N. Solakoglu, Macroeconomic news and exchange rates, Journal of International Financial Markets, Institutions and Money, 2007, 17; 307–325.

    Article  Google Scholar 

  28. F. Capie, T. C. Mills, and G. Wood, Gold as a hedge against the dollar, Journal of International Financial Markets, Institutions and Money, 2005, 15; 343–352.

    Article  Google Scholar 

  29. G. G. Men Shikov, Interval co-integration of differential equations connected by variable substitution and localization of mobile singular points, Vestnik St. Petersburg University, Mathematics, 1993, 26(1); 36–41.

    MathSciNet  MATH  Google Scholar 

  30. J. D. Hamilton, Time Series Analysis, Princeton University Press, New Jersey, 1994.

    MATH  Google Scholar 

  31. J. M. Wooldridge, Introductory Econometrics, A Modern Approach, Tsinghua University Press, Beijing, 2004.

    Google Scholar 

  32. R. E. Moore, Methods and Applications of Interval Analysis, SIAM, Philadelphia, 1979.

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shouyang Wang.

Additional information

This research is supported by the National Natural Science Foundation of China, Research Granting Committee of Hong Kong and Chinese Academy of Sciences.

This paper was recommended for publication by Editor Xiaoguang YANG.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Han, A., Lai, K.K., Wang, S. et al. An interval method for studying the relationship between the Australian dollar exchange rate and the gold price. J Syst Sci Complex 25, 121–132 (2012). https://doi.org/10.1007/s11424-012-8116-x

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11424-012-8116-x

Key words

Navigation