Skip to main content

An Empirical Analysis of Volatility by the SIML Estimation with High-Frequency Trades and Quotes

  • Conference paper
  • First Online:
Intelligent Decision Technologies 2018 (KES-IDT 2018 2018)

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 97))

Included in the following conference series:

Abstract

Estimating the volatility of financial asset prices is an issue of considerable importance in financial econometrics research. For estimating the integrated volatility by using high frequency data, Kunitomo and Sato [6] proposed the separating information maximum likelihood (SIML) method for estimating volatility from data contaminated by market microstructure noise. Subsequently, Misaki and Kunitomo [10] investigated the method when used with randomly sampled data. The method has not been tested for estimating the volatility of individual stocks with high-frequency data. This article analyzes tick-by-tick prices data to compare daily volatility estimates calculated with SIML estimation with estimates delivered by conventional methods. We first test the method with transaction prices from several firms and then with quote and transaction prices to investigate its robustness against noise. Our findings suggest that SIML estimation is useful for analyzing actual markets with high-frequency data.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

Institutional subscriptions

Notes

  1. 1.

    Now both markets are integrated under the Japan Exchange Group, Inc.

References

  1. Ait-Sahalia, Y., Mykland, P., Zhang, L.: How often to sample a continuous-time process in the presence of market microstructure noise. Rev. Fin. Stud. 18(2), 351–416 (2005)

    Article  Google Scholar 

  2. Andersen, T.G., Bollerslev, T., Diebold, F.X., Labys, P.: The distribution of exchange rate volatility. J. Am. Stat. Assoc. 96, 42–55 (2001)

    Article  MathSciNet  Google Scholar 

  3. Barndorff-Nielsen, O.E., Hansen, P.R., Lunde, A., Shephard, N.: Designing realized kernels to measure the ex-post variation of equity prices in the presence of noise. Econometrica 76(6), 1481–1536 (2008)

    Article  MathSciNet  Google Scholar 

  4. Barndorff-Nielsen, O.E., Hansen, P.R., Lunde, A., Shephard, N.: Realized kernels in practice: trades and quotes. Econ. J. 12(3), C1–C32 (2009)

    MathSciNet  MATH  Google Scholar 

  5. Kunitomo, N., Misaki, H., Sato, S.: The SIML estimation of integrated covariance and hedging coefficients with micro-market noises and random sampling. Asia Pac. Fin. Mark. 22(3), 333–368 (2015)

    Article  Google Scholar 

  6. Kunitomo, N., Sato S.: Separating information maximum likelihood estimation of realized volatility and covariance with micro-market noise. Discussion paper CIRJE-F-581, Graduate School of Economics, University of Tokyo (2008)

    Google Scholar 

  7. Kunitomo, N., Sato, S.: The SIML estimation of the integrated volatility of Nikkei-225 futures and hedging coefficients with micro-market noise. Math. Comput. Simul. 8, 1272–1289 (2011)

    Article  Google Scholar 

  8. Kunitomo, N., Sato, S.: Separating information maximum likelihood estimation of the integrated volatility and covariance with micro-market noise. N. Am. J. Econ. Fin. 26, 282–309 (2013)

    Article  Google Scholar 

  9. Malliavin, P., Mancino, M.: A Fourier transform method for nonparametric estimation of multivariate volatility. Ann. Stat. 37(4), 1983–2010 (2009)

    Article  MathSciNet  Google Scholar 

  10. Misaki, H., Kunitomo, N.: On robust properties of the SIML estimation of volatility under micro-market noise and random sampling. Int. Rev. Econ. Fin. 40, 265–281 (2015)

    Article  Google Scholar 

  11. Zhang, L., Mykland, P., Ait-Sahalia, Y.: A tale of two time scales: determining integrated volatility with noisy high-frequency data. J. Am. Stat. Assoc. 100(472), 1394–1411 (2005)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

I would like to thank the editors and chairs for the invitation to KES-IDT-18. I also thank two anonymous reviewers for useful comments and recommendations that improved this manuscript. This research is supported by Grant for Social Science from Nomura Foundation.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hiroumi Misaki .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Misaki, H. (2019). An Empirical Analysis of Volatility by the SIML Estimation with High-Frequency Trades and Quotes. In: Czarnowski, I., Howlett, R., Jain, L., Vlacic, L. (eds) Intelligent Decision Technologies 2018. KES-IDT 2018 2018. Smart Innovation, Systems and Technologies, vol 97. Springer, Cham. https://doi.org/10.1007/978-3-319-92028-3_7

Download citation

Publish with us

Policies and ethics