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New Bid-Ask Spread Estimators from Daily High and Low Prices

Author

Listed:
  • Li, Zhiyong
  • Lambe, Brendan
  • Adegbite, Emmanuel

Abstract

In this paper, we introduce two low frequency bid-ask spread estimators using daily high and low transaction prices. The range of mid-prices is an increasing function of the sampling interval, while the bid-ask spread and the relationship between trading direction and the mid-price are not constrained by it and are therefore independent. Monte Carlo simulations and data analysis from the equity and foreign exchange markets demonstrate that these models significantly out-perform the most widely used low-frequency estimators, such as those proposed in Corwin and Schultz (2012) and most recently in Abdi and Ranaldo (2017). We illustrate how our models can be applied to deduce historical market liquidity in NYSE, UK, Hong Kong and the Thai stock markets. Our estimator can also effectively act as a gauge for market volatility and as a measure of liquidity risk in asset pricing.

Suggested Citation

  • Li, Zhiyong & Lambe, Brendan & Adegbite, Emmanuel, 2017. "New Bid-Ask Spread Estimators from Daily High and Low Prices," MPRA Paper 79102, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:79102
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    References listed on IDEAS

    as
    1. Michael Bleaney & Zhiyong Li, 2016. "A new spread estimator," Review of Quantitative Finance and Accounting, Springer, vol. 47(1), pages 179-211, July.
    2. Hasbrouck, Joel, 2004. "Liquidity in the Futures Pits: Inferring Market Dynamics from Incomplete Data," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(02), pages 305-326, June.
    3. Glosten, Lawrence R. & Harris, Lawrence E., 1988. "Estimating the components of the bid/ask spread," Journal of Financial Economics, Elsevier, vol. 21(1), pages 123-142, May.
    4. Nina Karnaukh & Angelo Ranaldo & Paul Söderlind, 2015. "Understanding FX Liquidity," Review of Financial Studies, Society for Financial Studies, vol. 28(11), pages 3073-3108.
    5. Craig W. Holden & Stacey Jacobsen, 2014. "Liquidity Measurement Problems in Fast, Competitive Markets: Expensive and Cheap Solutions," Journal of Finance, American Finance Association, vol. 69(4), pages 1747-1785, August.
    6. Banti, Chiara & Phylaktis, Kate & Sarno, Lucio, 2012. "Global liquidity risk in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 31(2), pages 267-291.
    7. Chung, Kee H. & Zhang, Hao, 2014. "A simple approximation of intraday spreads using daily data," Journal of Financial Markets, Elsevier, vol. 17(C), pages 94-120.
    8. Choi, J. Y. & Salandro, Dan & Shastri, Kuldeep, 1988. "On the Estimation of Bid-Ask Spreads: Theory and Evidence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(02), pages 219-230, June.
    9. Loriano Mancini & Angelo Ranaldo & Jan Wrampelmeyer, 2013. "Liquidity in the Foreign Exchange Market: Measurement, Commonality, and Risk Premiums," Journal of Finance, American Finance Association, vol. 68(5), pages 1805-1841, October.
    10. Huang, Roger D & Stoll, Hans R, 1997. "The Components of the Bid-Ask Spread: A General Approach," Review of Financial Studies, Society for Financial Studies, vol. 10(4), pages 995-1034.
    11. Parkinson, Michael, 1980. "The Extreme Value Method for Estimating the Variance of the Rate of Return," The Journal of Business, University of Chicago Press, vol. 53(1), pages 61-65, January.
    12. Michael Bleaney & Zhiyong Li, 2015. "The performance of bid-ask spread estimators under less than ideal conditions," Studies in Economics and Finance, Emerald Group Publishing, vol. 32(1), pages 98-127, March.
    13. Shane A. Corwin & Paul Schultz, 2012. "A Simple Way to Estimate Bid‐Ask Spreads from Daily High and Low Prices," Journal of Finance, American Finance Association, vol. 67(2), pages 719-760, April.
    14. Bandi, Federico M. & Russell, Jeffrey R., 2006. "Separating microstructure noise from volatility," Journal of Financial Economics, Elsevier, vol. 79(3), pages 655-692, March.
    15. Stoll, Hans R, 1989. " Inferring the Components of the Bid-Ask Spread: Theory and Empirical Tests," Journal of Finance, American Finance Association, vol. 44(1), pages 115-134, March.
    16. Joel Hasbrouck, 2009. "Trading Costs and Returns for U.S. Equities: Estimating Effective Costs from Daily Data," Journal of Finance, American Finance Association, vol. 64(3), pages 1445-1477, June.
    17. George, Thomas J & Kaul, Gautam & Nimalendran, M, 1991. "Estimation of the Bid-Ask Spread and Its Components: A New Approach," Review of Financial Studies, Society for Financial Studies, vol. 4(4), pages 623-656.
    18. Roll, Richard, 1984. " A Simple Implicit Measure of the Effective Bid-Ask Spread in an Efficient Market," Journal of Finance, American Finance Association, vol. 39(4), pages 1127-1139, September.
    19. Holden, Craig W., 2009. "New low-frequency spread measures," Journal of Financial Markets, Elsevier, vol. 12(4), pages 778-813, November.
    20. Harris, Lawrence, 1990. " Statistical Properties of the Roll Serial Covariance Bid/Ask Spread Estimator," Journal of Finance, American Finance Association, vol. 45(2), pages 579-590, June.
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    More about this item

    Keywords

    High-low spread estimator; effective spread; transaction cost; market liquidity;

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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