The long memory of the efficient market

For the London Stock Exchange we demonstrate that the signs of orders obey a long-memory process. The autocorrelation function decays roughly as $\tau^{-\alpha}$ with $\alpha \approx 0.6$, corresponding to a Hurst exponent $H \approx 0.7$. This implies that the signs of future orders are quite predi...

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Main Authors: Lillo, F, Farmer, J
Format: Journal article
Published: 2003
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author Lillo, F
Farmer, J
author_facet Lillo, F
Farmer, J
author_sort Lillo, F
collection OXFORD
description For the London Stock Exchange we demonstrate that the signs of orders obey a long-memory process. The autocorrelation function decays roughly as $\tau^{-\alpha}$ with $\alpha \approx 0.6$, corresponding to a Hurst exponent $H \approx 0.7$. This implies that the signs of future orders are quite predictable from the signs of past orders; all else being equal, this would suggest a very strong market inefficiency. We demonstrate, however, that fluctuations in order signs are compensated for by anti-correlated fluctuations in transaction size and liquidity, which are also long-memory processes. This tends to make the returns whiter. We show that some institutions display long-range memory and others don't.
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spelling oxford-uuid:04dd690e-b085-470e-8314-7cd71ce7bec82022-03-26T08:54:03ZThe long memory of the efficient marketJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:04dd690e-b085-470e-8314-7cd71ce7bec8Symplectic Elements at Oxford2003Lillo, FFarmer, JFor the London Stock Exchange we demonstrate that the signs of orders obey a long-memory process. The autocorrelation function decays roughly as $\tau^{-\alpha}$ with $\alpha \approx 0.6$, corresponding to a Hurst exponent $H \approx 0.7$. This implies that the signs of future orders are quite predictable from the signs of past orders; all else being equal, this would suggest a very strong market inefficiency. We demonstrate, however, that fluctuations in order signs are compensated for by anti-correlated fluctuations in transaction size and liquidity, which are also long-memory processes. This tends to make the returns whiter. We show that some institutions display long-range memory and others don't.
spellingShingle Lillo, F
Farmer, J
The long memory of the efficient market
title The long memory of the efficient market
title_full The long memory of the efficient market
title_fullStr The long memory of the efficient market
title_full_unstemmed The long memory of the efficient market
title_short The long memory of the efficient market
title_sort long memory of the efficient market
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