Long-Term Memory in the Stock Market Prices by Andrew W.Lo

Long-Term Memory in the Stock Market Prices by Andrew W.Lo

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Stock trading course: Learn about Stock trading

A stock trader or equity trader or share trader is a person or company involved in trading equity securities.
Stock traders may be an agent, hedger, arbitrageur, speculator, stockbroker.
Such equity trading in large publicly traded companies may be through a stock exchange.
Stock shares in smaller public companies may be bought and sold in over-the-counter (OTC) markets.

Stock traders can trade on their own account, called proprietary trading, or through an agent authorized to buy and sell on the owner’s behalf.
Trading through an agent is usually through a stockbroker. Agents are paid a commission for performing the trade.

Major stock exchanges have market makers who help limit price variation (volatility) by buying and selling a particular company’s shares on their own behalf and also on behalf of other clients.

Andrew W.Lo – Long-Term Memory in the Stock Market Prices (Article)

A test for long-run memory that is robust to short-range dependence is developed. It is a simple extension of Mandelbrot’s “range over standard deviation” or R/S statistic, for which the relevant asymptotic sampling theory is derived via functional central limit theory. This test is applied to daily, weekly, monthly, and annual stock returns indexes over several different time periods. Contrary to previous findings, there is no evidence of long-range dependence in any of the indexes over any sample period or sub-period once short-term autocorrelations are taken into account. Illustrative Monte Carlo experiments indicate that the modified R/S test has power against at least two specific models of long-run memory, suggesting that stochastic models of short-range dependence may adequately capture the time series behavior of stock returns.

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