Skip to main content

A Reanalysis of the Spectral Properties of Some Economic and Financial Time Series

  • Chapter

Part of the book series: Dynamic Modeling and Econometrics in Economics and Finance ((DMEF,volume 1))

Abstract

In this paper we re-examine the spectral properties of some indices of production and of the Standard and Poor’s 500 stock market index. We use some new procedures for estimating spectra that are more efficient and more powerful than the conventional fast Fourier transform (FFT) approach or those using the sample autocorrelation function. The data examined are the growth rates in the monthly production indices for durable goods and nondurable goods production, manufacturing, mining, and the monthly stock market index; the real indices begin in 1919 and end in 1988, the stock market index begins in 1926 and also ends in 1988. We also are able to examine the new series because the AR(1) coefficient is sufficiently below a unit root to enable us to obtain useful spectral results. Some new techniques are used to examine the extent of nonstationarity in these data.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Andrews, D. (1972). Robust Estimates of Location. Princeton, NJ: Princeton University Press.

    Google Scholar 

  • Brillinger, D. (1975). Time Series, Data Analysis, and Theory. New York: Holt, Rinehart & Winston.

    Google Scholar 

  • Brockwell, P.J. and R.A. Davis (1987). Time Series: Theory and Methods. New York: Springer-Verlag.

    Google Scholar 

  • Bronez, T.P. (1992). “On the Performance Advantage of Multiple Spectral Analysis,” IEEE Transactions of Signal Processing, 40, 2941–2946.

    Article  Google Scholar 

  • Cutler, D.M., J.M. Poterba, and L. Summers (1991). “Speculative Dynamics,” Review of Economic Studies, 58, 529–546.

    Article  Google Scholar 

  • Daniel, K. and W. Torous (1990). “Common Stock Returns and the Business Cycle,” working paper, Department of Economics, UCLA.

    Google Scholar 

  • Doob, J. (1953). Stochastic Processes. New York: J. Wiley & Sons.

    Google Scholar 

  • Durlauf, S.N. (1991). “Spectral Based Testing of the Martingale Hypothesis,” Journal of Econometrics, 50, 335–376.

    Article  Google Scholar 

  • Fama, E. and K.R. French (1988). “Business Cycles and the Behavior of Metals Prices,” The Journal of Finance, XLIII, 1075–1093.

    Article  Google Scholar 

  • Fama, E.F. (1990). “Stock Returns, Expected Returns, and Real Activity,” The Journal of Finance, 45, 1089–1108.

    Article  Google Scholar 

  • Fama, E.F. and K.R. French (1989). “Business Conditions and Expected Returns on Stocks and Bonds,” Journal of Financial Economics, 25, 23–49.

    Article  Google Scholar 

  • Granger, C. and M. Hatanaka (1964). Spectral Analysis of Economic Time Series. Princeton, NJ: Princeton University Press.

    Google Scholar 

  • Granger, C. and O. Morgenstern (1963). “Spectral Analysis of New York Stock Market Prices,” Kyklos, 16, 1–27.

    Article  Google Scholar 

  • Granger, C.J. and H.J. Rees (1968). “Spectral Analysis of the Term Structure of Interest Rates,” Review of Economic Studies, 35, 67–76.

    Article  Google Scholar 

  • Granger, C.W. and P. Newbold (1986). Forecasting Economic Time Series. New York: Academic.

    Google Scholar 

  • Jegadeesh, N. (1990). “Evidence of Predictable Behavior of Security Returns,” The Journal of Finance, 45, 881–898.

    Article  Google Scholar 

  • Kac, M. (1959). “Statistical independence in probability, analysis and number theory,” in Carus Mathematical Monographs, vol. 12. Mathematical Assoc. of America.

    Google Scholar 

  • Kim, M.J. and C.R. Nelson (1991). “Mean Reversion in Stock Prices? A Reappraisal of the Empirical Evidence,” Review of Economic Studies, 58, 515–528.

    Article  Google Scholar 

  • Kleiner, B., R. Martin, and D. Thomson (1979). “Robust Estimation of Power Spectra with Discussion,” J. Royal Statist. Soc, 41, 313–351, B.

    Google Scholar 

  • Lo, A. and A.C. MacKinlay (1988). “Stock Market Prices Do Not Follow Random Walks: Evidence from a Simple Specification Test,” The Review of Financial Studies, 1, 41–66.

    Article  Google Scholar 

  • Loève, M. (1963). Probability Theory. New York: D. Van Nostrand.

    Google Scholar 

  • Loretan, M. and P.C. Phillips (1994). “Testing the Covariance Stationary of Heavy-tailed Time Series,” Journal of Empirical Finance, 1, 211–248.

    Article  Google Scholar 

  • Mallows, C.L. (1967). “Linear Processes Are Nearly Gaussian,” Journal of Applied Probability, 4, 313–329.

    Article  Google Scholar 

  • Mankiw, N.G., D. Romer, and M.D. Shapiro (1991). “Stock Market Forecasta-bility and Volatility: A Statistical Appraisal,” Review of Economic Studies, 58, 455–577.

    Article  Google Scholar 

  • Martin, R. and D. Thomson (1982). “Robust-Resistant Spectrum Estimation,” Proc. IEEE, 70, 1097–1115.

    Article  Google Scholar 

  • Pagan, A. and G. Schwert (1990). “Testing for Covariance Stationarity in Stock Market Data,” Economics Letters, 33, 165–170.

    Article  Google Scholar 

  • Papoulis, A. (1975). “A New Algorithm in Spectral Analysis and Band Limited Extrapolation,” IEEE Transactions on Circuits and Systems, 22, 735–742.

    Article  Google Scholar 

  • Percival, D. and A. Waiden (1993). Spectral Analysis for Physical Applications: Multitaper and Conventional Univariate Techniques. Cambridge, MA: Cambridge University Press.

    Book  Google Scholar 

  • Priestley, M. (1981). Spectral Analysis and Time Series. New York: Academic Press.

    Google Scholar 

  • Ramsey, J.B. (1992). “Seasonal Economic Data as Approximate Harmonic Oscillators,” working paper No. 92-16, C.V. Starr Center for Applied Economics, New York University.

    Google Scholar 

  • Slepian, D. (1978). “Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty — V: The Discrete Case,” Bell System Technical Journal, 57, 1371–1429.

    Google Scholar 

  • Stein, C. (1956). “Inadmissibility of the Usual Estimator for the Mean of a Multivariate Normal Distribution,” in Neyman, J. (ed), Proc. Third Berkeley Symp. Math. Stat. Prob., 197–206.

    Google Scholar 

  • Thomson, D. (1994). “An Overview of Multi-Window Quadratic-Inverse Spectrum Estimation,” IEEE International Conference on Acoustics, Speech and Signal Processing, 6, 185–194.

    Google Scholar 

  • Thomson, D.J. (1977). “Spectrum Estimation Techniques for Characterization and Development of WT4 Waveguide,” Bell System Tech. J., 56, Part 1 1769-1815; Part 2 1983-2005.

    Google Scholar 

  • Thomson, D.J. (1982). “Spectrum Estimation and Harmonic Analysis,” Proceedings of the IEEE, 70, 1055–1096.

    Article  Google Scholar 

  • Thomson, D.J. (1990). “Quadratic-Inverse Spectrum Estimates; Applications to Paleoclimatology,” Phil. Trans. of the Royal Society London A, 332, 539–597.

    Article  Google Scholar 

  • Thomson, D.J. (1993). “Nonstationary Fluctuations in Stationary Time Series,” Proc. SPIE, 2027, 236–244.

    Article  Google Scholar 

  • Thomson, D.J. and A. D. Chave (1991). “Jackknifed Error Estimates for Spectra, Coherences, and Transfer Functions,” Chap. 2 in Haykin, S. (ed), Advances in Spectrum Estimation. New York: Prentice Hall.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media New York

About this chapter

Cite this chapter

Ramsey, J.B., Thomson, D.J. (1999). A Reanalysis of the Spectral Properties of Some Economic and Financial Time Series. In: Rothman, P. (eds) Nonlinear Time Series Analysis of Economic and Financial Data. Dynamic Modeling and Econometrics in Economics and Finance, vol 1. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5129-4_3

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-5129-4_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7334-6

  • Online ISBN: 978-1-4615-5129-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics