New bid-ask spread estimators from daily high and low prices

Estimating trading costs in the absence of recorded data is a problem that continues to puzzle financial market researchers. We address this challenge by introducing two low frequency bid-ask spread estimators using daily high and low transaction prices. The range of mid-prices is an increasing f...

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Main Authors: Li, Zhiyong, Lambe, Brendan, Adegbite, Emmanuel
Format: Article
Language:English
Published: Elsevier 2018
Online Access:https://eprints.nottingham.ac.uk/55097/
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author Li, Zhiyong
Lambe, Brendan
Adegbite, Emmanuel
author_facet Li, Zhiyong
Lambe, Brendan
Adegbite, Emmanuel
author_sort Li, Zhiyong
building Nottingham Research Data Repository
collection Online Access
description Estimating trading costs in the absence of recorded data is a problem that continues to puzzle financial market researchers. We address this challenge by introducing 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 (especially SHL2) 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 Ronaldo (2017). Using real world data we show that one of our estimators (SHL2)’s root mean square error (RMSE) is almost less than a half (even 20%) of the competitors. We illustrate how our models can be applied to deduce historical market liquidity in US, 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.
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spelling nottingham-550972020-03-05T04:30:13Z https://eprints.nottingham.ac.uk/55097/ New bid-ask spread estimators from daily high and low prices Li, Zhiyong Lambe, Brendan Adegbite, Emmanuel Estimating trading costs in the absence of recorded data is a problem that continues to puzzle financial market researchers. We address this challenge by introducing 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 (especially SHL2) 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 Ronaldo (2017). Using real world data we show that one of our estimators (SHL2)’s root mean square error (RMSE) is almost less than a half (even 20%) of the competitors. We illustrate how our models can be applied to deduce historical market liquidity in US, 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. Elsevier 2018-11-30 Article PeerReviewed application/pdf en cc_by_nc_nd https://eprints.nottingham.ac.uk/55097/1/new%20bid%20ask%20spread.pdf Li, Zhiyong, Lambe, Brendan and Adegbite, Emmanuel (2018) New bid-ask spread estimators from daily high and low prices. International Review of Financial Analysis, 60 . pp. 69-86. ISSN 1057-5219 http://dx.doi.org/10.1016/j.irfa.2018.08.014 doi:10.1016/j.irfa.2018.08.014 doi:10.1016/j.irfa.2018.08.014
spellingShingle Li, Zhiyong
Lambe, Brendan
Adegbite, Emmanuel
New bid-ask spread estimators from daily high and low prices
title New bid-ask spread estimators from daily high and low prices
title_full New bid-ask spread estimators from daily high and low prices
title_fullStr New bid-ask spread estimators from daily high and low prices
title_full_unstemmed New bid-ask spread estimators from daily high and low prices
title_short New bid-ask spread estimators from daily high and low prices
title_sort new bid-ask spread estimators from daily high and low prices
url https://eprints.nottingham.ac.uk/55097/
https://eprints.nottingham.ac.uk/55097/
https://eprints.nottingham.ac.uk/55097/