IDEAS home Printed from https://ideas.repec.org/a/eee/finlet/v12y2015icp77-91.html
   My bibliography  Save this article

Long memory and the relation between options and stock prices

Author

Listed:
  • Huang, Teng-Ching
  • Tu, Yu-Chen
  • Chou, Heng-Chih

Abstract

This study investigates the long-memory property and the fractionally cointegration between absolute changes in observed stock prices and implied stock prices from option pricing model. We find a stylized fact that absolute price movements in stock and option markets are characterized by long memory and they present a fractionally cointegrated relation. The option prices appear to be valuable for the stock prices based on an appropriate econometric methodology, which captures the persistence of both price series. Our empirical results also support the presence of information effect in call option, but the volume effect is absent for all cases.

Suggested Citation

  • Huang, Teng-Ching & Tu, Yu-Chen & Chou, Heng-Chih, 2015. "Long memory and the relation between options and stock prices," Finance Research Letters, Elsevier, vol. 12(C), pages 77-91.
  • Handle: RePEc:eee:finlet:v:12:y:2015:i:c:p:77-91
    DOI: 10.1016/j.frl.2014.11.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1544612314000798
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.frl.2014.11.005?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jun Pan & Allen M. Poteshman, 2006. "The Information in Option Volume for Future Stock Prices," The Review of Financial Studies, Society for Financial Studies, vol. 19(3), pages 871-908.
    2. Donald W. K. Andrews & Patrik Guggenberger, 2003. "A Bias--Reduced Log--Periodogram Regression Estimator for the Long--Memory Parameter," Econometrica, Econometric Society, vol. 71(2), pages 675-712, March.
    3. Tarun Chordia & Richard Roll & Avanidhar Subrahmanyam, 2001. "Market Liquidity and Trading Activity," Journal of Finance, American Finance Association, vol. 56(2), pages 501-530, April.
    4. Ding, Zhuanxin & Granger, Clive W. J. & Engle, Robert F., 1993. "A long memory property of stock market returns and a new model," Journal of Empirical Finance, Elsevier, vol. 1(1), pages 83-106, June.
    5. Marinucci, D. & Robinson, Peter M., 2001. "Narrow-band analysis of nonstationary processes," LSE Research Online Documents on Economics 303, London School of Economics and Political Science, LSE Library.
    6. Lobato, Ignacio N., 1999. "A semiparametric two-step estimator in a multivariate long memory model," Journal of Econometrics, Elsevier, vol. 90(1), pages 129-153, May.
    7. Kalok Chan & Y. Peter Chung & Wai-Ming Fong, 2002. "The Informational Role of Stock and Option Volume," Review of Financial Studies, Society for Financial Studies, vol. 15(4), pages 1049-1075.
    8. Bhattacharya, Mihir, 1987. "Price Changes of Related Securities: The Case of Call Options and Stocks," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(1), pages 1-15, March.
    9. Sugato Chakravarty & Huseyin Gulen & Stewart Mayhew, 2004. "Informed Trading in Stock and Option Markets," Journal of Finance, American Finance Association, vol. 59(3), pages 1235-1258, June.
    10. Nicolas P. B. Bollen & Robert E. Whaley, 2004. "Does Net Buying Pressure Affect the Shape of Implied Volatility Functions?," Journal of Finance, American Finance Association, vol. 59(2), pages 711-753, April.
    11. Anat R. Admati, Paul Pfleiderer, 1988. "A Theory of Intraday Patterns: Volume and Price Variability," Review of Financial Studies, Society for Financial Studies, vol. 1(1), pages 3-40.
    12. Anthony, Joseph H, 1988. " The Interrelation of Stock and Options Market Trading-Volume Data," Journal of Finance, American Finance Association, vol. 43(4), pages 949-964, September.
    13. Schlag, Christian & Stoll, Hans, 2005. "Price impacts of options volume," Journal of Financial Markets, Elsevier, vol. 8(1), pages 69-87, February.
    14. Fleming, Jeff & Kirby, Chris, 2011. "Long memory in volatility and trading volume," Journal of Banking & Finance, Elsevier, vol. 35(7), pages 1714-1726, July.
    15. Federico M. Bandi & Benoit Perron, 2006. "Long Memory and the Relation Between Implied and Realized Volatility," The Journal of Financial Econometrics, Society for Financial Econometrics, vol. 4(4), pages 636-670.
    16. Marinucci, D & Robinson, Peter, 2001. "Narrow-band analysis of nonstationary processes," LSE Research Online Documents on Economics 2015, London School of Economics and Political Science, LSE Library.
    17. Baillie, Richard T. & Bollerslev, Tim & Mikkelsen, Hans Ole, 1996. "Fractionally integrated generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 74(1), pages 3-30, September.
    18. George J. Jiang & Yisong S. Tian, 2005. "The Model-Free Implied Volatility and Its Information Content," Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1305-1342.
    19. Bollerslev, Tim & Jubinski, Dan, 1999. "Equity Trading Volume and Volatility: Latent Information Arrivals and Common Long-Run Dependencies," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(1), pages 9-21, January.
    20. Stephan, Jens A & Whaley, Robert E, 1990. "Intraday Price Change and Trading Volume Relations in the Stock and Stock Option Markets," Journal of Finance, American Finance Association, vol. 45(1), pages 191-220, March.
    21. Donald W. K. Andrews & Yixiao Sun, 2004. "Adaptive Local Polynomial Whittle Estimation of Long-range Dependence," Econometrica, Econometric Society, vol. 72(2), pages 569-614, March.
    22. David Easley & Maureen O'Hara & P.S. Srinivas, 1998. "Option Volume and Stock Prices: Evidence on Where Informed Traders Trade," Journal of Finance, American Finance Association, vol. 53(2), pages 431-465, April.
    23. Clifford M. Hurvich & Bonnie K. Ray, 2003. "The Local Whittle Estimator of Long-Memory Stochastic Volatility," Journal of Financial Econometrics, Oxford University Press, vol. 1(3), pages 445-470.
    24. Christensen, Bent Jesper & Nielsen, Morten Orregaard, 2006. "Asymptotic normality of narrow-band least squares in the stationary fractional cointegration model and volatility forecasting," Journal of Econometrics, Elsevier, vol. 133(1), pages 343-371, July.
    25. D Marinucci & Peter M Robinson, 2001. "Narrow-Band Analysis of Nonstationary Processes," STICERD - Econometrics Paper Series 421, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhang, Wei-Guo & Li, Zhe & Liu, Yong-Jun, 2018. "Analytical pricing of geometric Asian power options on an underlying driven by a mixed fractional Brownian motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 402-418.
    2. Sant'Anna, Leonardo Riegel & de Oliveira, Alan Delgado & Filomena, Tiago Pascoal & Caldeira, João Frois, 2020. "Solving the index tracking problem based on a convex reformulation for cointegration," Finance Research Letters, Elsevier, vol. 37(C).
    3. Sheng, Hainan, 2022. "Option measures and stock characteristics," Finance Research Letters, Elsevier, vol. 44(C).
    4. Szczygielski, Jan Jakub & Charteris, Ailie & Obojska, Lidia, 2023. "Do commodity markets catch a cold from stock markets? Modelling uncertainty spillovers using Google search trends and wavelet coherence," International Review of Financial Analysis, Elsevier, vol. 87(C).
    5. Muhammad Aftab & Abid Ali & Scott W. Hegerty, 2021. "Foreign exchange market pressure and stock market dynamics in emerging Asia," International Economics and Economic Policy, Springer, vol. 18(4), pages 699-719, October.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Javier Hualde & Morten {O}rregaard Nielsen, 2022. "Fractional integration and cointegration," Papers 2211.10235, arXiv.org.
    2. Henryk Gurgul & Tomasz Wójtowicz, 2006. "Long-run properties of trading volume and volatility of equities listed in DJIA index," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 16(3-4), pages 29-56.
    3. Morten Ø. Nielsen & Per Houmann Frederiksen, 2008. "Fully Modified Narrow-band Least Squares Estimation Of Stationary Fractional Cointegration," Working Paper 1171, Economics Department, Queen's University.
    4. Atilgan, Yigit, 2014. "Volatility spreads and earnings announcement returns," Journal of Banking & Finance, Elsevier, vol. 38(C), pages 205-215.
    5. Doojin Ryu & Jinyoung Yu, 2021. "Informed options trading around holidays," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 41(5), pages 658-685, May.
    6. Benjamin Blau & Chip Wade, 2013. "Comparing the information in short sales and put options," Review of Quantitative Finance and Accounting, Springer, vol. 41(3), pages 567-583, October.
    7. Vinay Patel, 2015. "Price Discovery in US and Australian Stock and Options Markets," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 27, July-Dece.
    8. Hualde, J. & Robinson, P.M., 2010. "Semiparametric inference in multivariate fractionally cointegrated systems," Journal of Econometrics, Elsevier, vol. 157(2), pages 492-511, August.
    9. Vinay Patel, 2015. "Price Discovery in US and Australian Stock and Options Markets," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 6-2015.
    10. Kang, Jangkoo & Park, Hyoung-Jin, 2008. "The information content of net buying pressure: Evidence from the KOSPI 200 index option market," Journal of Financial Markets, Elsevier, vol. 11(1), pages 36-56, February.
    11. da Silva, Afonso Gonçalves & Robinson, Peter M., 2008. "Fractional Cointegration In Stochastic Volatility Models," Econometric Theory, Cambridge University Press, vol. 24(5), pages 1207-1253, October.
    12. Alejandro Bernales & Thanos Verousis & Nikolaos Voukelatos & Mengyu Zhang, 2020. "What do we know about individual equity options?," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 40(1), pages 67-91, January.
    13. Du, Brian & Fung, Scott, 2018. "Directional information effects of options trading: Evidence from the banking industry," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 56(C), pages 149-168.
    14. Muravyev, Dmitriy & Pearson, Neil D. & Paul Broussard, John, 2013. "Is there price discovery in equity options?," Journal of Financial Economics, Elsevier, vol. 107(2), pages 259-283.
    15. Chang, Chuang-Chang & Hsieh, Pei-Fang & Lai, Hung-Neng, 2013. "The price impact of options and futures volume in after-hours stock market trading," Pacific-Basin Finance Journal, Elsevier, vol. 21(1), pages 984-1007.
    16. Hu, Jianfeng, 2014. "Does option trading convey stock price information?," Journal of Financial Economics, Elsevier, vol. 111(3), pages 625-645.
    17. Li, Wei-Xuan & French, Joseph J. & Chen, Clara Chia-Sheng, 2017. "Informed trading in S&P index options? Evidence from the 2008 financial crisis," Journal of Empirical Finance, Elsevier, vol. 42(C), pages 40-65.
    18. Andersen, Torben G. & Varneskov, Rasmus T., 2021. "Consistent inference for predictive regressions in persistent economic systems," Journal of Econometrics, Elsevier, vol. 224(1), pages 215-244.
    19. Sensoy, Ahmet & Omole, John, 2022. "Information content of order imbalance in the index options market," International Review of Economics & Finance, Elsevier, vol. 78(C), pages 418-432.
    20. Lee, Jaeram & Ryu, Doojin & Yang, Heejin, 2021. "Does vega-neutral options trading contain information?," Journal of Empirical Finance, Elsevier, vol. 62(C), pages 294-314.

    More about this item

    Keywords

    Long memory; Fractional cointegration; Information effect; Volume effect; NBLS formula;
    All these keywords.

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:finlet:v:12:y:2015:i:c:p:77-91. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/frl .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.