Modeling Momentum and Reversals

Stock prices are well known to exhibit behaviors that are difficult to model mathematically. Individual stocks are observed to exhibit short term price reversals and long term momentum, while their industries only exhibit momentum. Here we show that individual stocks can be modeled by simple mean re...

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Main Authors: Harvey J. Stein, Jacob Pozharny
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Risks
Subjects:
Online Access:https://www.mdpi.com/2227-9091/10/10/190
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author Harvey J. Stein
Jacob Pozharny
author_facet Harvey J. Stein
Jacob Pozharny
author_sort Harvey J. Stein
collection DOAJ
description Stock prices are well known to exhibit behaviors that are difficult to model mathematically. Individual stocks are observed to exhibit short term price reversals and long term momentum, while their industries only exhibit momentum. Here we show that individual stocks can be modeled by simple mean reverting processes in such a way that these behaviors are captured, the model is arbitrage free, and market informational efficiency is preserved. Simulation shows that in such a market, when mean reversion is sufficiently high, strategies which use reversals would substantially outperform buy and hold strategies.
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spelling doaj.art-473ebb39f1344f81856b7dc91cbc3e992023-11-24T02:23:08ZengMDPI AGRisks2227-90912022-10-01101019010.3390/risks10100190Modeling Momentum and ReversalsHarvey J. Stein0Jacob Pozharny1Labs Group, Two Sigma, New York, NY 10013, USABridgeway Capital Management, Houston, Texas 77046, USAStock prices are well known to exhibit behaviors that are difficult to model mathematically. Individual stocks are observed to exhibit short term price reversals and long term momentum, while their industries only exhibit momentum. Here we show that individual stocks can be modeled by simple mean reverting processes in such a way that these behaviors are captured, the model is arbitrage free, and market informational efficiency is preserved. Simulation shows that in such a market, when mean reversion is sufficiently high, strategies which use reversals would substantially outperform buy and hold strategies.https://www.mdpi.com/2227-9091/10/10/190reversalsmomentummean reversionmarket efficiencyinvestment strategiesno arbitrage
spellingShingle Harvey J. Stein
Jacob Pozharny
Modeling Momentum and Reversals
Risks
reversals
momentum
mean reversion
market efficiency
investment strategies
no arbitrage
title Modeling Momentum and Reversals
title_full Modeling Momentum and Reversals
title_fullStr Modeling Momentum and Reversals
title_full_unstemmed Modeling Momentum and Reversals
title_short Modeling Momentum and Reversals
title_sort modeling momentum and reversals
topic reversals
momentum
mean reversion
market efficiency
investment strategies
no arbitrage
url https://www.mdpi.com/2227-9091/10/10/190
work_keys_str_mv AT harveyjstein modelingmomentumandreversals
AT jacobpozharny modelingmomentumandreversals