Markets and Fundamentals: A Model  101 price begins to fall. The noise investors accelerate the fall, but this slows as more and more informed investors begin to buy until, at $36, all informed investors are buying again, and the fall is reversed. The pattern continues, with the share price oscillating within a band whose boundaries are set by the informed investors, as shown in Exhibit 7.1. If the noise traders act not only on price movements but also on random, insig- nificant events, there will also be price oscillations within the band. The band itself can change over time, depending on the uncertainty among informed investors about the company’s intrinsic value. For example, product launches or successes in research and development can lead informed investors to in- crease their value estimates as well as their trading bandwidth. As a result, price volatility will be temporarily higher while investors are absorbing the new information, as shown in the period after time T in Exhibit 7.1. In this model, prices will move within the bandwidth if there is enough informed capital. This mechanism can break down, but only in rare situa- tions. For example, when fundamental investors are vastly outnumbered by noise traders, their sales of stocks might not be able to stop a price rally. Such circumstances are unlikely, given the amounts of capital managed by sophis- ticated, professional—that is to say, fundamental—investors today.6 Neverthe- less, once they have sold all the overvalued stock, some fundamental investors can be reluctant to engage in short sales for fear of losing significant amounts before prices revert to lower levels. Others can face institutional or regulatory 6 This is also what the academic literature predicts: informed investors outweigh and ultimately sur- vive noise traders. See, for example, L. Blume and D. Easley, “Market Selection and Asset Pricing,” in Handbook of Financial Markets: Dynamics and Evolution, ed. T. Hens and K. Hoppe (Amsterdam: Elsevier, 2009); and J. De Long, A. Shleifer, L. Summers, and R. Waldman, “The Survival of Noise Traders in Financial Markets,” Journal of Business 64, no. 1 (1991): 1–19. EXHIBIT 7.1  Model of Share Price Trading Boundaries 100 90 80 70 60 50 40 30 20 Time Time = T Share price Upper trading boundary Upper intrinsic value Lower intrinsic value Lower trading boundary Price 102  The Stock Market Is Smarter Than You Think restrictions. As a result, the price rally might continue. But noise traders can- not push share prices above their intrinsic levels for prolonged periods; at some point, fundamentals prevail in setting prices in the stock market. In ex- treme cases, such as the technology bubble of the 1990s, this could take a few years, but the stock market always corrects itself to align with the underlying fundamental economics. Markets and Fundamentals: The Evidence In general, the empirical evidence supports the idea that growth and ROIC are the key drivers of value. That means the evidence tends not to support beliefs that value is shaped as much by other measures. Even some of the most conventional beliefs about the stock market are not supported by the facts. For example, most growth and value indexes, like those of Standard & Poor’s, categorize companies as either “value” or “growth” based on a combi- nation of factors, including market-to-book ratios and price-to-earnings ratios (P/Es). Typically, companies with high market-to-book ratios and high P/Es end up in the growth category, while the others fall in the value category. How- ever, growth is only one factor driving differences in market-to-book ratios and P/Es. ROIC also is important. In fact, we have found no difference in the distribution of growth rates between so-called value and growth stocks (see Exhibit 7.2). We did, however, find that so-called growth stocks tend to have high ROIC, and value stocks have lower ROIC. The median return on capi- tal for so-called value companies was 15 percent, compared with 35 percent for the growth companies. So the companies classified as growth did not grow faster on average, but they did have higher returns on capital. That’s EXHIBIT 7.2  Distribution of Growth Rates for Growth and Value Stocks 0 –3 1 Growth Value Growth Value 5 9 13 3-year average sales growth, % Growth stocks do not grow materially faster . . . . . . but do have higher ROICs 3-year average ROIC excluding goodwill, % 17 Value median 8.7% Growth median 10.2% 21 25 2 4 6 % of companies % of companies 8 10 12 14 0 5 –5 5 15 25 35 45 50+ 10 15 20 25 30 35 Value median 15% Growth median 35%