A Study of Constructing Index Fund using Wavelet Analysis

웨이블릿 기법을 이용한 인덱스 펀드 구성에 관한 연구

  • 조희연 (울산대학교 경영정보학과)
  • Published : 2009.09.01

Abstract

An index fund is a collective investment scheme that aims to replicate the movements of an index of a specific financial market regardless of market conditions. An index fund is a popular investment alternative because it is much cheaper to run than an active fund and it performs better than actively managed funds. This paper illustrates the usefulness of wavelet analysis in constructing an index fund. The wavelet analysis can decompose the time series data in frequency domain as well as in time domain. The major findings of this paper are as follows. First, the beta coefficient that represents the systematic risk has the scale dependent property. This result can provide important information to the investors with various investment time frequency. Investors can use the betas corresponding to their investment frequencies among the various scale betas estimated by wavelet analysis. Second, we can find the usefulness of wavelet analysis in constructing index fund because the wavelet technique gives less tracking error(difference between the index performance and the index fund performance) than the traditional constructing techniques. The result of this study implies that the wavelet techniques can be an important analytic method to the other financial markets such as option market, futures market, bond markets and currency market.

Keywords

References

  1. 강현배, 김대경, 서진근, "웨이블릿 이론과 응용", 대우학술총서, 아카넷, 2001.
  2. 김상배, "소파동분석을 이용한 우리나라 선물과 현물시장의 동태적 관계에 대한 연구," 경영연구, 제22권, 제3호, 2007, pp. 97-117.
  3. 김현수, "Pattern Discovery by Genetic Algorithms in the Syntactic Pattern Based Chart Analysis for Stock Market", 정보시스템연구, 제3권, 제1호, 1994, pp. 147-169.
  4. 노태협, 이택호, 한인구, "인공신경망-금융시계열 모형을 이용한 KOSPI 200 주가지수의 변동성 예측", 경영학연구, 제34권, 제3호, 2005, pp. 683-713.
  5. 노태협, 유명환, 한인구, "러프집합이론과 사례 기반추론을 결합한 기업신용평가 모형", 정보시스템연구, 제14권, 제1호, 2005, pp. 41-65.
  6. 이긍희, "소파동을 이용한 회사채 유통수익률의 분해 및 예측," 한국은행 경제분석, 제4권, 제3호, 1998, pp. 1-23.
  7. 조하현, 이승국, "Wavelet기법을 이용한 CAPM의 베타 추정에 관한 연구", 재무연구, 제17권, 제1호, 2004, pp. 289-318.
  8. 조희연, 김영민, "유전자 알고리즘을 이용한 주식투자 수익률 향상에 관한 연구", 정보시스템연구, 제12권, 제2호, 2003, pp. 1-20.
  9. 황하진, 권효성, "주식투자분석 자문을 위한 실시간 전문가시스템의 개발에 관한 연구", 한국정보시스템학회 춘계공동학술대회논문집, 1998, pp. 69-75.
  10. Frino, A et al., "Index Design and Implications for Index Tracking," The Journal of Portfolio Management, Vol. 30, No. 1, 2004, pp. 89-95. https://doi.org/10.3905/jpm.2004.319934
  11. Gencay, R., Selcuk, F., and Whitcher, B., An Introduction to Wavelets and Other Filtering Methods in Finance and Economics, Academic Press, 2001.
  12. Goffe, W. L.,. "Wavelets in macroeconomics: An introduction", Computational Techniques for Econometrics and Economic Analysis, Kluwer Academic Publishers, 1994, pp. 137-149.
  13. Lee, H. S., "Recent Advances in Wavelet Methods for Economic Time Series," Journal of Economic Theory & Econometrics, Vol. 7, 2001, pp. 43-65.
  14. King B., "Market and Industrial Factors in Stock Price Behavior," Journal of Business, Vol. 39, No. 1, 1966, pp. 139-190. https://doi.org/10.1086/294847
  15. Larsen, G., and B. Resnick. "Empirical Insights on Indexing," The Journal of Portfolio Management, Vol. 25, No. 1, 1998, pp. 51-60. https://doi.org/10.3905/jpm.1998.409656
  16. Ramsey, J., and Lampart, C., "The Decomposition of Economic Relationships by Time Scale using Wavelets: Expenditure and Income," Studies in Nonlinear Dynamics and Econometrics, Vol. 3, 1988, pp. 23-42.
  17. Ramsey, J., and Lampart, C., "The Decomposition of Economic Relationships by Time Scale using Wavelets: Money and Income," Macroeconomic Dynamics, Vol. 2, 1988, pp. 49-71.
  18. Ramsey, J., and Zhang, Z., "The Analysis of Foreign Exchange Rates using Waveform Dictionaries," Journal of Empirical Finance, Vol 4, 1997, pp. 341-372. https://doi.org/10.1016/S0927-5398(96)00013-8
  19. Roll, R., "A Mean/Variance Analysis of Tracking Error," The Journal of Portfolio Management, Vol. 18, No. 4, 1992, pp. 13-22. https://doi.org/10.3905/jpm.1992.701922
  20. Rudd, A., "Optimal Selection of Passive Portfolios," Financial Management, Spring, 1980, pp. 57-66.
  21. Yamada, H., "Wavelet-based Beta Estimation and Japanese Industrial Stock Prices," Applied Economics Letters, Vol. 12, No. 2, 2005, pp. 85-88. https://doi.org/10.1080/1350485042000307152