Quantitative Value Research: Weighted P/E Bracket
Decomposing the Price-Earning Ratio
- Anderson and Brooks
- A version of the paper can be found here.
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The price-earnings ratio is a widely used measure of the expected performance of companies, and it has almost invariably been calculated as the ratio of the current share price to the previous year’s earnings. However, the P/E of a particular stock is partly determined by outside influences such as the year in which it is measured, the size of the company, and the sector in which the company operates. Examining all UK companies since 1975, we propose a modified price-earnings ratio that decomposes these influences. We then use a regression to weight the factors according to their power in predicting returns. The decomposed price-earnings ratio is able to double the gap in annual returns between the value and glamour deciles, and thus constitutes a useful tool for value fund managers and hedge funds.
The paper decomposes P/E ratio into 4 factors, and then uses a regression to find the optimal weights of the factors according to their power in predicting returns:
- Time effects (average market P/E varies year by year);
- Sector effects (sectors grow at different rates over time);
- Size effects (positive relationship between a company’s market cap and the P/E);
- Idiosyncratic effects (e.g., insider buying/selling, analysts recommendations).
- Using the optimum weightings doubles the average annual difference in returns between glamour and value deciles from 5.25% to 10.5%.
- The new value portfolio constructed based on weighted P/E bracket outperforms the old by 2.4% annually.
An interesting idea, but anytime results are shown with “optimal” weights, we tend to proceed with caution, as the optimal weight today may not be the optimal weight tomorrow.
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Definitions of common statistics used in our analysis are available here (towards the bottom)