The long-term price-earnings ratio

price-earnings ratio;value premium;arbitrage trading rule;UK stock returns;contrarian investment Abstract:  The price-earnings effect has been thoroughly documented and is the subject of numerous academic studies. However, in existing research it has almost exclusively been calculated on the basis of the previous year's earnings. We show that the power of the effect has until now been seriously underestimated due to taking too short-term a view of earnings. Looking at all UK companies since 1975, using the traditional P/E ratio we find the difference in average annual returns between the value and glamour deciles to be 6%. This is similar to other authors' findings. We are able to almost double the value premium by calculating the P/E ratio using earnings averaged over the previous eight years.

A three-regime model of speculative behaviour: modelling the evolution of the S&P 500 composite index

We examine whether a three-regime model that allows for dormant, explosive and collapsing speculative behaviour can explain the dynamics of the S&P 500. We extend existing models of speculative behaviour by including a third regime that allows a bubble to grow at a steady rate, and propose abnormal volume as an indicator of the probable time of bubble collapse. We also examine the financial usefulness of the three-regime model by studying a trading rule formed using inferences from it, whose use leads to higher Sharpe ratios and end of period wealth than from employing existing models or a buy-and-hold strategy.

Antoine de La Sale's 'La Sale': the cannonball and the prince's head

The elderly tutor La Sale's didactic treatise for his charges (dated 1451) includes an eye-witness account of the siege of Anjou-held Naples by the Aragonese in 1438. It narrates the accidental death (or miracle, depending on the perspective of the chroniclers) of the infante Pedro of Castille, brother of King Alfonso the Magnanimous of Aragon. This article explores how "La Sale", an adapted version of the Middle French translation of Valerius Maximus's 'Facta et dicta memorabilia', frames and skews the anecdote towards an exploration of the reliability and authority of the tutor-narrator.

Stochastic volatility jump-diffusions for European equity index dynamics

Major research on equity index dynamics has investigated only US indices (usually the S&P 500) and has provided contradictory results. In this paper a clarification and extension of that previous research is given. We find that European equity indices have quite different dynamics from the S&P 500. Each of the European indices considered may be satisfactorily modelled using either an affine model with price and volatility jumps or a GARCH volatility process without jumps. The S&P 500 dynamics are much more difficult to capture in a jump-diffusion framework.