Further Evidence on Mean Reversion in Index Basis Changes

We provide further evidence on the stochastic behavior of the futures minus cash index basis. In addition to infrequent trading, we identify index aggregation as an additional source of mean reversion in basis changes. An aggregation of individual stocks in the index portfolio produces a moving average component that induces a negative autocorrelation in basis changes. Our empirical results show that index price and basis changes often contain a moving average component. After the effects of infrequent trading and index aggregation are purged, we find that the autocorrelation of the adjusted index basis changes is significantly reduced.     

Mean Reversion of Short-Horizon Stock Returns: Asymmetry Property

In this paper, we explore nonlinearity inherent in short-horizon return dynamics, which is characterized by an asymmetric mean-reverting property. Over the period of 1962:07–2003:12, both daily and weekly returns of three market indexes and individual stock returns exhibit a strong asymmetric reverting pattern in which a negative return reverts more quickly, with a greater reverting magnitude, than positive returns revert to negative returns. The observed asymmetric reverting pattern is not justified under the positive relationship between future volatility and risk premium, which is a key presumption in the time-varying rational expectation hypothesis. The asymmetric reverting behavior of stock returns explored by this paper corroborates the argument for the relative performance of “winner' and “loser' stocks that has been documented by contrarian literature. JEL Classification: 14, C40, C51     

A Note on the Predictability of UK Stock Returns

This note presents evidence on the predictability of UK stock returns using a database of companies in the FTSE-Allshare Index newly constructed towards the beginning of 1998. The tests used are autocorrelations at various lags and variance ratios for several aggregations of base observations. The evidence is consistent with that published for US stock returns, namely that daily stock returns contain a strong element of predictability.     

Mean Reversion in the United Kingdom Stock Market and its Implications for a Profitable Trading Strategy

Following Fama and French (1988), we examine the mean reverting behavior of the United Kingdom stock market total returns over the period 1919 through 1990. Evidence of statistically significant mean reversion is only found during the pre-war subperiod. A contrarian investment strategy, however, does not enhance performance over a naive buy and hold investment strategy. Further, an application of Richardson and Stock's (1989) alternative asymptotic distribution theory suggests that the mean reversion detected during the pre-war period may reflect the poor finite sample approximation of traditional fixed overlap asymptotic distribution theory.     

Asymmetric Mean Reversion in European Interest Rates: A Two-factor Model

Abstract

This paper tests for asymmetric mean reversion in European short-term interest rates using a combination of the interest rate models introduced by Longstaff and Schwartz (Longstaff, F.A., Schwarts, E.S. (1992) Interest rate volatility and the ferm structure: A two factor general equilibrium model, Journal of Finance, 48, pp. 1259–1282.) and Bali (Bali, T. (2000) Testing the empirical performance of stochastic volatility models of the short-term interest rates, Journal of Financial and Quantitative Analysis, 35, pp. 191–215.). Using weekly rates for France, Germany and the United Kingdom, it is found that short-term rates follow in all instances asymmetric mean reverting processes. Specifically, interest rates exhibit non-stationary behavior following rate increases, but they are strongly mean reverting following rate decreases. The mean reverting component is statistically and economically stronger thus offsetting non-stationarity. Volatility depends on past innovations past volatility and the level of interest rates. With respect to past innovations volatility is asymmetric rising more in response to positive innovations. This is exactly opposite to the asymmetry found in stock returns.     

Stock Market Mean Reversion and the Optimal Equity Allocation of a Long-Lived Investor

This paper solves numerically the intertemporalconsumption and portfolio choiceproblem of an infinitely-lived investor whofaces a time-varying equity premium.The solutions we obtain are very similarto the approximate analytical solutionsof Campbell and Viceira (1999), except atthe upper extreme of the state spacewhere both the numerical consumption andportfolio rules flatten out.We also consider a constrained version ofthe problem in which the investor facesborrowing and short-sales restrictions.These constraints bind when the equitypremium moves away from its mean in eitherdirection, and are particularly severe forrisk-tolerant investors. The constraints havesubstantial effects on optimalconsumption, but much more modest effects onoptimal portfolio choice in theregion of the state space where they are notbinding.     

Short Sales Constraints and Momentum in Stock Returns

Abstract:   We show that stock characteristics identified by D'Avolio (2002) provide a reliable index of the mostly unobservable short sales constraints. Specifically, we find that this index is positively related to the level of short interest and to short selling costs implied by the disparity in prices in the options and stock markets, and is negatively related to future returns. Using this index, we show that the magnitude of momentum returns for the period 1984 to 2001 is positively related to short sales constraints, and loser stocks rather than winner stocks drive this result. We conclude that short sales constraints are important in preventing arbitrage of momentum in stock returns.     

Mean Reversion in Profitability for Non‐listed Firms

The presence of mean reversion in profitability at the firm level is important for valuation and prediction of growth and earnings. We investigate the mean reversion in accounting profitability for Norwegian non‐listed firms for the period 1988–2006. We find a mean reversion rate of about 0.44 per year. This is higher than found in other studies. We also find that small firms have a higher mean reversion rate than large firms. Our results should have important practical implications for the difficult task of valuing non‐listed firms. Previously, price‐to‐book ratios have been used to investigate changes in profitability over time for listed firms. We examine bankruptcy risk as an alternative variable for unlisted firms. We find that bankruptcy risk may help explain changes in profitability, but the results are not as strong as found in previous work.     

An Analysis of the Distribution of Extreme Share Returns in the UK from 1975 to 2000

This paper seeks to characterise the distribution of extreme returns for a UK share index over the years 1975 to 2000. In particular, the suitability of the following distributions is investigated: Gumbel, Frechet, Weibull, Generalised Extreme Value, Generalised Pareto, Log‐Normal and Generalised Logistic. Daily returns for the FT All Share index were obtained from Datastream, and the maxima and minima of these daily returns over a variety of selection intervals were calculated. Plots of summary statistics for the weekly maxima and minima on statistical distribution maps suggested that the best fitting distribution would be either the Generalised Extreme Value or the Generalised Logistic. The results from fitting each of these two distributions to extremes of a series of UK share returns support the conclusion that the Generalised Logistic distribution best fits the UK data for extremes over the period of the study. The Generalised Logistic distribution has fatter tails than either the log‐normal or the Generalised Extreme Value distribution, hence this finding is of importance to investors who are concerned with assessing the risk of a portfolio.     

Short Selling and the Weekend Effect in Nasdaq Stock Returns

We examine daily short selling of Nasdaq stocks to explore whether speculative short selling causes a significant portion of the weekend effect in returns. We identify a weekend effect in speculative short selling whereby it constitutes a larger percentage of trading volume on Mondays versus Fridays. We find an opposite effect in dealer short selling, consistent with market makers adding liquidity and stability. Our main finding is that speculative short selling does not explain an economically meaningful portion of the weekend effect in returns, even among the firms most that are most actively shorted. This finding contradicts some prior studies.     

An Empirical Re-Examination of the Cross-Section of Expected Returns: UK Evidence

This paper is a study of the Fama and French (1992) analysis in the UK context. Consistent with their findings, our results do not support a positive relationship between beta and average monthly returns. We find that book-to-market equity and market leverage are consistently significant in explaining UK average returns. Contrary to the Fama-French evidence, size has an insignificant effect on average returns. A puzzling negative beta-returns relationship is found in some monthly regressions,and results based on annual data reveal a reversal of betas for the smallest-size portfolios. Some possible explanations are offered for these findings.     

The Correlation Structure of Unexpected Returns in U.S. Equities

We examine the correlations between unexpected market moves and unexpected equity portfolio moves conditional on market performance. We derive unexpected returns from a two-stage regime switching model. The model allows for time-varying expected returns where the market portfolio alone dictates the regime switching process. Portfolios exhibit a natural hedge where correlations during extreme unexpected market downturns are generally negative. During unexpected market upswings, correlations increase. Using the unconditional analysis would lead to overhedging during market downturns and underhedging during market upswings. The adjustments to the unconditional hedging strategy conditional on extreme market movements frequently exceed ±10%.     

CAPM, Higher Co‐moment and Factor Models of UK Stock Returns

In this paper we examine the variables that explain the cross‐section of UK stock returns. Previous studies have found that the CAPM beta has moderate or even insignificant explanatory power once the Fama French factors are included. However, we control for different realised risk premia in up and down markets by using the same methodology as Pettengill, Sundaram and Mathur (1995). Unlike previous work, we find that beta is highly significant in explaining the cross‐section of UK stock returns and more importantly remains significant even when the Fama French factors are included in the cross‐sectional regressions. We also investigate whether higher co‐moments (co‐skewness and co‐kurtosis) have any explanatory power but find that empirical support is weaker.     

Is the Value Spread a Good Predictor of Stock Returns? UK Evidence

Abstract:  This paper explores the predictive ability of the value spread in the UK. I replicate the US analysis of Liu and Zhang (2007) using UK data. In addition, I extend their work by exploring the predictive ability of the book-to-market, market-to-book and value spread on other size and value investment strategies, namely: large-caps only; small-caps minus large-caps (SML); value stocks only; growth stocks only; value stocks minus growth stocks (VMG) and a market portfolio that includes all stocks. The results are consistent with Liu and Zhang (2007) on the value spread. The value spread shows no predictive power for portfolio returns. Therefore, I show that the predictive power of book-to-market and market-to-book spreads depend on the portfolio formation strategies and the relative proportion of small-cap, large-cap, value and growth stocks in the portfolio.     

A Test of the Persistence in the Performance of UK Managed Funds

We employ a United Kingdom data set of weekly returns from a sample of investment trust companies available on the Datastream database. We analyse the relative performance of the funds and determine whether a 'good' (above-median), past-performance is indicative of future performance. Our study focuses on within sample relative performance. We examine persistence in performance in the short and long run based on a number of tests. Overall we find that both raw and risk-adjusted returns exhibit evidence of persistence in performance in the long run but not in the very short run.     

The Role of Payout Ratio in the Relationship Between Stock Returns and Dividend Yield

Abstract:   This paper examines the relationship between returns and dividend yield in the UK stock market, and introduces earnings‐related data to the asset pricing model in the form of payout ratio. The latter has a considerable effect upon the inferences which would otherwise be drawn from a study of the dividend yield‐returns relationship in the absence of such earnings information. Payout ratio conveys additional signalling information and is an important adjunct to dividend yield in explaining returns.     

An Analysis of Contrarian Investment Strategies in the UK

The performance of contrarian, or value strategies – those that invest in stocks that have low market value relative to a measure of their fundamentals – continues to attract attention from researchers and practitioners alike. While there is much extant evidence on the profitability of value strategies, however, most of this evidence pertains to the US. In this paper, we provide a detailed characterisation of value strategies using data on UK stocks for the period 1975 to 1998. We first undertake simple one-way and two-way classifications of stocks in which value is defined using both past performance and expected future performance. Using sales growth as a proxy for past performance and book-to-market, earnings yield and cash flow yield as measures of expected future performance, we find that that stocks that have both poor past performance and low expected future performance have significantly higher returns than those that have either good past performance or good expected future performance. Allowing for size effects in returns reduces the value premium but it nevertheless remains significant. We go on to explore whether the profitability of value strategies in the UK can be explained using the three factor model of Fama and French (1996). Broadly consistent with the results for the US, we find that using the one-way classification the excess returns to almost all value strategies can be explained by their loading on the market, book-to-market and size factors. However, in contrast with the US, using the two-way classification there are excess returns to value strategies based on book-to-market and sales growth, even after controlling for their loading on the market, book-to-market and size factors.     

The Arrival Rate of Initial Public Offers in the UK

The Initial Public Offer (IPO) is an important event in the development of a firm yet there is little evidence regarding why firms choose certain times to come to the market. This paper extends the available evidence, concentrating on UK data and addressing a number of econometric problems with earlier papers. These advances include acknowledging the non-negative integer characteristics of count data, compensating for non-stationarity in the data, and explicitly testing for causality. The paper examines the incentives to conduct an IPO and the results suggest that both the value and number of IPOs are positively and significantly associated with the level of the stock market, with the introduction of the USM, and, in the case of the number of IPOs, positively and significantly associated with a business cycle indicator. Tests of causality suggest that the stock index predicts both the value and number of IPOs.     

Mean reversion in international stock markets: An empirical analysis of the 20th century

This paper analyzes mean reversion in the stock markets of 18 OECD countries during the years 1900–2009. In this period it takes stock prices about 18.5 years, on average, to absorb half of a shock. However, using a rolling-window approach we establish large fluctuations in the speed of mean reversion over time. The highest mean reversion speed is found for the period including the Great Depression and the start of World War II. Furthermore, the early years of the Cold War and the period containing the Oil Crisis of 1973, the Energy Crisis of 1979 and Black Monday in 1987 are also characterized by relatively fast mean reversion. We document half-lives ranging between 2.0 and 22.6 years. Our results suggest that the speed at which stocks revert to their fundamental value is higher in periods of high economic uncertainty, caused by major economic and political events.