The Equity Premium Consensus Forecast Revisited

A seller wishes to sell an object to one of multiple bidders. The valuations of the bidders are privately known. We consider the joint design problem in which the seller can decide the accuracy by which bidders learn their valuation and to whom to sell at what price. We establish that optimal information structures in an optimal auction exhibit a number of properties: (i) information structures can be represented by monotone partitions, (ii) the cardinality of each partition is finite, (iii) the partitions are asymmetric across agents. These properties imply that the optimal selling strategy of a seller can be implemented by a sequence of exclusive take-it or leave-it offers.Equity premium

Does sophistication affect long-term return expectations? : Evidence from financial advisers' exam scores

We use unique data from financial advisers’ professional exam scores and combine it with other variables to create an index of financial sophistication. Using this index to explain long-term stock return expectations, we find that more sophisticated financial advisers tend to have lower return expectations. A one standard deviation increase in the sophistication index reduces expected returns by 1.1 percentage points. The effect is stronger for emerging market stocks (2.3 percentage points). The sophistication effect contributes 60% to the model fit, while employer fixed effects combined contribute less than 30%. These results help understand the formation of potentially excessively optimistic expectations

The dynamics of U.S. equity risk premia: lessons from professionals'view

Semi-annual surveys carried out by J. Livingston on a panel of experts have enabled us to compute the expected returns over the time span 1-semester and 2-semesters ahead on a portfolio made up of US industrial stocks. We calculated about 3000 individual ex-ante equity risk premia over the period 1952 to 1993 (82 semesters) defined as the difference between these expected stock returns and the risk-free forward rate given by zero coupon bonds. Unlike any other study, our contribution is to analyse premia deduced from surveys data, at the micro level, per date and over a long period. Three main conclusions may be drawn from our analysis of these ex-ante premia. First, the mean values of these premia are closer to the predictions derived from the consumption-based asset pricing theory than the ones obtained for the ex-post premia. Second, the experts' professional affiliation appears to be a significant criterion in discriminating premia. Third, in accordance with the Arbitrage Pricing Theory, individual ex-ante premia depend both on macroeconomic and idiosyncratic common factors: the former are represented by a set of macroeconomic variables observable by all agents, and the latter by experts’ personal forecasts about the future state of the economy, as defined by expected inflation and industrial production growth rate.Stock price expectations, equity risk premium, survey micro data

The Declining U.S. Equity Premium

This study demonstrates that the U.S. equity premium has declined significantly during the last three decades. The study calculates the equity premium using a variation of a formula in the classic Gordon stock valuation model. The calculation includes the bond yield, the stock dividend yield, and the expected dividend growth rate, which in this formulation can change over time. The study calculates the premium for several measures of the aggregate U.S. stock portfolio and several assumptions about bond yields and stock dividends and gets basically the same result. The premium averaged about 7 percentage points during 1926 70 and only about 0.7 of a percentage point after that. This result is shown to be reasonable by demonstrating the roughly equal returns that investments in stocks and consol bonds of the same duration would have earned between 1982 and 1999, years when the equity premium is estimated to have been zero.

The equity premium in 100 textbooks

I review 100 finance and valuation textbooks published between 1979 and 2008 by authors such as Brealey and Myers, Copeland, Damodaran, Merton, Ross, Bruner, Bodie, Penman, Weston, Brigham and Arzac and find that their recommendations regarding the equity premium range from 3% to 10%. I also find that several books use different equity premia on different pages. Some of the confusion arises from not distinguishing among the four concepts that the term equity premium designates: historical equity premium, expected equity premium, required equity premium and implied equity premium. Finance textbooks should clarify the equity premium by providing distinguishing definitions of these four concepts and conveying a clearer message about their sensible magnitudes.equity premium; equity premium puzzle; required market risk premium; historical market risk premium; expected market risk premium; risk premium; market risk premium; market premium;

Market risk premium used in 2008: A survey of more than a 1,000 professors

The average Market Risk Premium (MRP) used in 2008 by professors in the United States (6.5%) was higher than the one used by their colleagues in Europe (5.3%), Canada (5.4%), the United Kingdom (5.6%) and Australia (5.9%). The dispersion of the MRP was high. 15% ofthe professors decreased their MRP in 2008 (1.5% on average) and 24% increased it (2% on average). 66% of the professors used a lower MRP in 2007 than in 2000 (22% used a higher one). The average MRP used in 2007 was 1.5% lower than the one used in 2000. Most previous surveys were interested in the Expected MRP, but this survey asks about the Required MRP. The paper also contains the references that professors use to justify their MRP and comments from 180 professors that illustrate the variety of interpretations of what the required MRP is and explain the confusion of students and practitioners about its concept and magnitude.equity premium puzzle; required equity premium; expected equity premium; historical equity premium;

Measuring and Interpreting Expectations of Equity Returns

We analyze probabilistic expectations of equity returns elicited in the Survey of Economic Expectations in 1999 %uF8182001 and in the Michigan Survey of Consumers in 2002 %uF8182004. Our empirical findings suggest that individuals use interpersonally variable but intrapersonally stable processes to form their expectations. We therefore propose to think of the population as a mixture of expectations types, each forming expectations in a stable but different way. We use our expectations data to learn about the prevalence of several specific types suggested by research in conventional and behavioral finance, but conclude that these types do not adequately explain the diverse expectations held by the population.

Market risk premium: Required, historical and expected

The market risk premium is one of the most important but elusive parameters in finance. It is also called equity premium, market premium and risk premium. The term 'market risk premium' is difficult to understand because it is used to designate three different concepts: 1) Required market risk premium, which is the incremental return of a diversified portfolio (the market) over the risk-free rate (return of treasury bonds) required by an investor. It is needed for calculating the required return to equity (cost of equity). 2) Historical market risk premium, which is the historical differential return of the stock market over treasury bonds. 3) Expected market risk premium, which is the expected differential return of the stock market over treasury bonds. Many authors and finance practitioners assume that the expected market risk premium is equal to the historical market risk premium and to the required market risk premium. The CAPM assumes that the required market risk premium is equal to the expected market risk premium. However, the three concepts are different. The historical market risk premium is equal for all investors, but the required and the expected market risk premium are different for different investors. We also claim that there is no required market risk premium for the market as a whole: different investors use different required market risk premiums.required market risk premium; historical market risk premium; expected market risk premium; risk premium; equity premium; market premium;

The equity premium puzzle: High required equity premium, undervaluation and self fulfilling prophecy

We argue that the equity premium puzzle may be explained by the fact that most market participants (equity investors, investment banks, analysts, companies¿) do not use standard theory (such as a standard representative consumer asset pricing model) for determining their Required Equity Premium, but rather, they use historical data and advices from textbooks and finance professors. Consequently, ex-ante equity premia have been high, market prices have been consistently undervalued, and the ex-post risk premia has been also high. Professors use in class and in their textbooks high equity premia (average around 6%, range from 3 to 10%), and investors use higher equity premia for valuing companies (average around 6%). The overall result is that equity prices have been, on average, undervalued in the last decades and, consequently, the measured ex-post equity premium is also high. As most investors use historical data and textbook prescriptions to estimate the required and the expected equity premium, the undervaluation and the high ex-post risk premium are self fulfilling prophecies.equity premium puzzle; required equity premium; historical equity premium;