Market and Liquidity Risks Using Transaction-by-Transaction Information

The usual measures of market risk are based on the axiom of positive homogeneity while neglecting an important element of market information—liquidity. To analyze the effects of this omission, in the present study, we define the behavior of prices and volume via stochastic processes subordinated to...

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Main Authors: Mariano González-Sánchez, Eva M. Ibáñez Jiménez, Ana I. Segovia San Juan
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/14/1678
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author Mariano González-Sánchez
Eva M. Ibáñez Jiménez
Ana I. Segovia San Juan
author_facet Mariano González-Sánchez
Eva M. Ibáñez Jiménez
Ana I. Segovia San Juan
author_sort Mariano González-Sánchez
collection DOAJ
description The usual measures of market risk are based on the axiom of positive homogeneity while neglecting an important element of market information—liquidity. To analyze the effects of this omission, in the present study, we define the behavior of prices and volume via stochastic processes subordinated to the time elapsing between two consecutive transactions in the market. Using simulated data and market data from companies of different sizes and capitalization levels, we compare the results of measuring risk using prices compared to using both prices and volumes. The results indicate that traditional measures of market risk behave inversely to the degree of liquidity of the asset, thereby underestimating the risk of liquid assets and overestimating the risk of less liquid assets.
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spelling doaj.art-c9e214e395df4e0194d2682ce69f9fc22023-11-22T04:20:30ZengMDPI AGMathematics2227-73902021-07-01914167810.3390/math9141678Market and Liquidity Risks Using Transaction-by-Transaction InformationMariano González-Sánchez0Eva M. Ibáñez Jiménez1Ana I. Segovia San Juan2Department of Business and Accounting, UNED (Universidad Nacional de Educación a Distancia), Paseo Senda del Rey, 11 Madrid, SpainDepartment of Business and Accounting, UNED (Universidad Nacional de Educación a Distancia), Paseo Senda del Rey, 11 Madrid, SpainDepartment of Business and Accounting, UNED (Universidad Nacional de Educación a Distancia), Paseo Senda del Rey, 11 Madrid, SpainThe usual measures of market risk are based on the axiom of positive homogeneity while neglecting an important element of market information—liquidity. To analyze the effects of this omission, in the present study, we define the behavior of prices and volume via stochastic processes subordinated to the time elapsing between two consecutive transactions in the market. Using simulated data and market data from companies of different sizes and capitalization levels, we compare the results of measuring risk using prices compared to using both prices and volumes. The results indicate that traditional measures of market risk behave inversely to the degree of liquidity of the asset, thereby underestimating the risk of liquid assets and overestimating the risk of less liquid assets.https://www.mdpi.com/2227-7390/9/14/1678liquidity riskvolumetradeintraday frequency
spellingShingle Mariano González-Sánchez
Eva M. Ibáñez Jiménez
Ana I. Segovia San Juan
Market and Liquidity Risks Using Transaction-by-Transaction Information
Mathematics
liquidity risk
volume
trade
intraday frequency
title Market and Liquidity Risks Using Transaction-by-Transaction Information
title_full Market and Liquidity Risks Using Transaction-by-Transaction Information
title_fullStr Market and Liquidity Risks Using Transaction-by-Transaction Information
title_full_unstemmed Market and Liquidity Risks Using Transaction-by-Transaction Information
title_short Market and Liquidity Risks Using Transaction-by-Transaction Information
title_sort market and liquidity risks using transaction by transaction information
topic liquidity risk
volume
trade
intraday frequency
url https://www.mdpi.com/2227-7390/9/14/1678
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