The Equity Premium

We estimate the equity premium using dividend and earnings growth rates to measure the expected rate of capital gain. Our estimates for 1951 to 2000, 2.55 percent and 4.32 percent, are much lower than the equity premium produced by the average stock return, 7.43 percent. Our evidence suggests that the high average return for 1951 to 2000 is due to a decline in discount rates that produces a large unexpected capital gain. Our main conclusion is that the average stock return of the last half-century is a lot higher than expected.     

ESTIMATING THE EQUITY RISK PREMIUM AND EQUITY COSTS: NEW WAYS OF LOOKING AT OLD DATA

This article examines three alternative ways of estimating the expected return on the equity market in using the CAPM or some other risk premium model. The three techniques are (1) direct estimation of the average nominal equity return for use as a forecast nominal equity return; (2) estimation of the average real equity return, which can then be added to a forecast inflation rate; and (3) estimation of an average equity risk premium, which is then added to a current risk-free rate. Ibbotson and Sinquefeld's data on annual holding period returns are used to test the validity of their assumption that the equity risk premium follows a random walk and that the third of these approaches is thus the best method.
The paper reaches three major conclusions. First, each of these three techniques involves a "bias" of some kind. The use of average equity returns as a forecast is subject to "risk-free rate" and "inflation rate" biases, while the use of an average equity risk premium is subject to a "term premium" bias. As a result, only the data can tell us which approach is best. Second, from analyzing equity and bond return data and the trend in interest rates, the author concludes that the term premium bias when using average historic equity risk premium is by far the largest of the three sources of bias. Indeed, the popular practice of adding an historic average equity risk premium to the 30-year Treasury bond rate significantly overstates equity costs. Third, after examining equity rates of return back to 1871, the author concludes that the real equity return seems to follow a process that is close to a random walk and is thus the "best" of the three techniques to use as a "naive" forecast.     

An Examination of ERR and Asset Allocation in Public Pension Plans

In this paper, we examine the usefulness of expected rates of return (ERR) for public pension plans. Specifically, we test the correlation between the expected rate of return on plan assets and asset allocation. We also examine the predictive power of ERR on the actual returns of the pension assets. We find that the correlation between expected return and the percentage of assets that are equity securities is relatively weak. Further, we find that the percentage of assets that are equity securities is a much better predictor of actual returns than the disclosed expected return in public pension plans. These results provide evidence to support SFAS No. 87 , which requires the disclosure of plan assets and against recently promulgated SFAS No. 132 , which eliminates this disclosure requirement. The evidence also supports GASB 25'sStatement of Net Plan Assets .     

Long run forward rates and long yields of bonds and options in heterogeneous equilibria

We prove that, in a heterogeneous economy with scale-invariant utilities, the yield of a long term bond is determined by the agent with maximal expected marginal utility. We also prove that the same result holds for the long term forward rates. Furthermore, we apply Cramér’s large deviations theorem to calculate the yield of a long term European call option. It turns out that there is a threshold risk aversion such that the option yield is independent of the risk aversion when the latter is above the threshold. Surprisingly, the long term option yield is always greater than or equal to the corresponding equity return. That is, in the long run, it is more profitable to buy a long maturity call option on equity than the equity itself.      

The Global CAPM and a Firm's Cost of Capital in Different Currencies

In an integrated global market, a firm's cost of capital expressed in one currency should be consistent with its cost of capital expressed in another currency. This article presents and illustrates a process for estimating consistent costs of capital in different currencies for a U.K. based multinational. In so doing, it uses a simple, easy-to-use version of the global CAPM that attempts to incorporate the effect of uncertain exchange rates by calculating exchange rate "betas." As argued in the previous article, at least part of a company's currency exposure is systematically related to the global market and thus should be treated as a component of the firm's systematic equity risk.
For example, the U.K. firm featured in this article is shown to have an exchange rate beta of 0.20 from the perspective of a U.S. investor. This implies that a 10% return on the global market in U.S. dollars tends to be associated with a 2% change in the U.S. dollar value of the British pound. One interesting consequence of incorporating exchange risk in this fashion is that two firms with identical U.S. global betas and costs of equity will have different expected returns expressed in another currency if they have different exposures to that currency.     

Effect of Analysts' Optimism on Estimates of the Expected Rate of Return Implied by Earnings Forecasts

Recent literature has used analysts' earnings forecasts, which are known to be optimistic, to estimate implied expected rates of return, yielding upwardly biased estimates. We estimate that the bias, computed as the difference between the estimates of the implied expected rate of return based on analysts' earnings forecasts and estimates based on current earnings realizations, is 2.84%. The importance of this bias is illustrated by the fact that several extant studies estimate an equity premium in the vicinity of 3%, which would be eliminated by the removal of the bias. We illustrate the point that cross‐sample differences in the bias may lead to the erroneous conclusion that cost of capital differs across these samples by showing that analysts' optimism, and hence, bias in the implied estimates of the expected rate of return, differs with firm size and with analysts' recommendation. As an important aside, we show that the bias in a value‐weighted estimate of the implied equity premium is 1.60% and that the unbiased value‐weighted estimate of this premium is 4.43%.     

Dividend growth and return predictability: A long-run re-examination of conventional wisdom

We re-examine dividend growth and return predictability evidence using 165 years of data from the Brussels Stock Exchange. The conventional wisdom holds that time-varying dividend yield is predominately explained by changes in expected returns and that expected dividend growth is only weakly forecastable. However, we find robust dividend growth predictability evidence in every time period. A lack of dividend smoothing is the most important reason for the disconnect with previous evidence. Furthermore, we find return predictability in the post-World War II period when we adjust the dividend yields for changing index composition, business cycle variation and structural breaks. This is explained by a simultaneous increase in equity duration, induced by an increasing importance of growth stocks.     

Financial reporting for employee stock options: liabilities or equity?

This study seeks to determine whether employee stock options share key characteristics of liabilities or equity. Consistent with warrant pricing theory, we find that common equity risk and expected return are negatively associated with the extent to which a firm has outstanding employee stock options, which is opposite to the association for liabilities. We also find the following. (1) The association is positive for firms that reprice options and less negative for firms that have options with longer remaining terms to maturity, which indicates that some employee stock options have characteristics that make them more similar to liabilities. (2) Leverage measured based on treating options as equity has a stronger positive relation with common equity risk than leverage measured based on treating options as liabilities. (3) The sensitivity of employee stock option value to changes in asset value mirrors that of common equity value and is opposite to that of liability value. Also, we find that, unlike liabilities, employee stock options have substantially higher risk and expected return than common equity. Our findings are not consistent with classifying employee stock options as liabilities for financial reporting if classification were based on the directional association of a claim with common equity risk and expected return. Rather, our findings suggest the options act more like another type of equity.     

Equity premium estimates from economic fundamentals under structural breaks

This article compares three estimates of the conditional equity premium using dividend and earnings growth rates to measure the expected rate of capital gain. The premia are estimated using a theory-informed Bayesian model that admits structural breaks. The equity premium fell from 8.16% in 1951 to 1.15% in 1985. Approximately half of this decline was reversion of a high conditional premium to the long run mean and the remainder resulted from a decline in the expected stock return. The decline in the expected stock return was largely driven by the Fed Accord (1951) and the Fed's ‘monetarist policy experiment’ (1979–1982).     

Discussion of “Using earnings forecasts to simultaneously estimate firm-specific cost of equity and long-term growth”

Accounting-based valuation models allow us to develop rigorous estimates of either value or the expected rate of return on equity capital (i.e., ERR) without making steady-state forecasts that rely on ad hoc assumptions about dividend policy. Hence, these models have great potential. Their ultimate usefulness, however, depends on the extent to which users of them make assumptions about future residual income that are consistent with the underlying accounting. Nekrasov and Ogneva contribute by developing a methodology that allows us to integrate information about accounting attributes such as conservatism into our estimates of the growth rate in residual income. Hence, their methodology can be used to improve our understanding of the role that conservatism plays in determining growth. This, in turn, improves our ability to estimate key parameters such as value and the expected rate of return on equity capital.     

Discounting expected values with parameter uncertainty

In valuing future cash flows, the standard practice is to take the current cash flow and then extrapolate at an expected growth rate, which can vary at different points in time. This practice stems from the standard way of dealing with time value of money problems under certainty. However, with uncertain cash flows, this practice underestimates the expected cash flows when the growth rates are serially correlated. As a result, both value and the equity cost, calculated as an internal rate of return, are biased low. Given the prevalence of serial correlation in the economy, this paper demonstrates how to incorporate the effects of serial correlation in a simple way and demonstrates by way of a simulation that the effects can be significant. As a result, it casts doubt on the usefulness of several standard valuation approaches and results.     

Cross-sectional forecasts of the equity premium

If investors are myopic mean-variance optimizers, a stock's expected return is linearly related to its beta in the cross-section. The slope of the relation is the cross-sectional price of risk, which should equal the expected equity premium. We use this simple observation to forecast the equity-premium time series with the cross-sectional price of risk. We also introduce novel statistical methods for testing stock-return predictability based on endogenous variables whose shocks are potentially correlated with return shocks. Our empirical tests show that the cross-sectional price of risk (1) is strongly correlated with the market's yield measures and (2) predicts equity-premium realizations, especially in the first half of our 1927–2002 sample.     

What Cost of Capital Should You Use? The Market Has an Answer

The most widely used means of estimating a company's cost of equity capital is the Capital Asset Pricing Model (CAPM). But as a growing number of academics and practitioners have suggested, use of the CAPM produces estimates that often fail to reflect the risks of the companies as perceived by current and potential investors. The authors' work, together with other research, also suggests that the cost of equity produced by the CAPM is often too high. To the extent this is so, companies are discounting investment projects at rates of return that may be leading them to pass up value‐adding opportunities. The authors advocate the use of a simple and practical alternative to the CAPM that does not use either an assumed market risk premium or a beta. It uses instead an equity premium that is implied by the current market price of a company's stock and, as such, is implicitly derived from investors' assessments of the firm's risk that are reflected in that price. More specifically, the alternative approach solves for the internal rate of return that equates the present value of expected future cash flows to the current market price. In support of this approach, studies have shown that such market‐implied measures are better predictors than CAPM‐based estimates of future stock returns, both at the individual‐firm and aggregate market levels.     

Evidence on the Trade-Off between Risk and Return for IPO and SEO Firms

Do the low long‐run average returns of equity issuers reflect underperformance due to mispricing or the risk characteristics of the issuing firms? We shed new light on this question by examining how institutional lenders price loans of equity issuing firms. Accounting for standard risk factors, we find that equity issuing firms' expected debt return is equivalent to the expected debt return of nonissuing firms, implying that institutional lenders perceive equity issuers to be as risky as similar nonissuing firms. In general, institutional lenders perceive small and high book‐to‐market borrowers as systematically riskier than larger borrowers with low book‐to‐market ratios, consistent with the asset pricing approach in Fama and French (1993) . Finally, we find that firms' expected debt returns decline after equity offerings, consistent with recent theoretical arguments suggesting that firm risk should decline following an equity offering. Overall, our analysis provides novel evidence consistent with risk‐based explanations for the observed equity returns following IPOs and SEOs.     

WHY IRA AND KEOGH PLANS SHOULD AVOID GROWTH STOCKS

This paper explores the effect of taxing personal income from common stocks on the return of equity portfolios held by mutual funds under IRA or Keogh plans. The expected rate of return earned by a tax-sheltered fund on any given stock is inversely related to the stock's per-share growth rate. The explanation for this effect does not rely on the standard assumption that growth decreases the effective rate of taxation. Rather, this effect holds despite heavier taxation of growth stocks because of the incomplete manner in which the return is sheltered. The implication of this finding for the optimal portfolio selection policy of tax-sheltered equity funds is inconsistent with evidence showing that such funds tend to concentrate in growth stocks. A second issue examined is the use of IRA and Keogh plans as a temporary tax shelter. Under the present 10-percent penalty on premature distribution, the critical investment period may be as short as two to three years. This finding indicates the usefulness of these plans as a general investment tool.     

董事高管责任保险、权益资本成本与上市公司再融资能力

基于公司治理角度,使用2002~2012年沪深引进董事高管责任保险的上市公司为样本,考察了董事高管责任保险、权益资本成本和上市公司再融资能力三者之间的相互关系。研究表明：董事高管责任保险与上市公司的再融资能力负相关,与权益资本成本呈显著正相关关系;权益资本成本在董事高管责任保险和上市公司再融资能力影响机制中发挥中介作用。具体地,投资者因规避责任保险机制庇护下公司高管自利行为可招致的风险,导致上市公司权益资本成本增加,从而降低了公司再融资能力。     

The Volatility of Return Revisions and Financial Statement Literacy in Emerging Markets: The Case of Cross‐listed Chinese Firms

Are foreign investors in emerging markets more financial statement literate than domestic investors? If so, this conjecture implies that foreign (domestic) investors are more likely to revise their return expectations to cash flow (discount rate) news. It also implies that cash flow news and discount rate news are likely to be uncorrelated when evaluating return revisions by domestic investors, whereas cash flow news and discount rate news are likely to be negatively correlated when evaluating return revisions by foreign investors. The Chinese equity markets yield robust empirical results that are consistent with both hypotheses.     

Unbiased estimation of expected return using CAPM

Estimation of expected return is required for many financial decisions. For example, an estimate for cost of capital is required for capital budgeting and cost of equity estimates are needed for performance evaluation based on measures such as EVA. Estimates for expected return are often based on the Capital Asset Pricing Model (CAPM), which states that expected excess return (expected return minus the risk-free rate) is equal to the asset's sensitivity to the world market portfolio (β) times the risk premium on the “world market portfolio” (the market risk premium). Since the world market portfolio, by definition, contains all assets in the world, it is not observable. As a result, an estimate for expected return is commonly obtained by taking an estimate for β based on some index (as a proxy for the world market portfolio) and an estimate for the market risk premium based on a potentially different index and multiplying them together. In this paper, it is shown that this results in a biased estimate for expected return. This is undesirable since biased estimates lead to misallocation of funds and biased performance measures. It is also shown in this paper that the straightforward procedure suggested by Fama and MacBeth [J. Financ. Econ. 1 (1974) 43] results in an unbiased estimate for expected return. Further from the analysis done, it follows that, for an unbiased estimate, it does not matter what proxy is used, as long as it is used correctly an unbiased estimate for expected return results.     

Discount rate changes,stock market returns,volatility, and trading volume: Evidence from intraday data and implications for market efficiency

We examine the effect of discount rate changes on stock market returns, volatility, and trading volume using intraday data. Equity returns generally respond negatively and significantly to the unexpected announcements; however, the effect of expected changes on equity returns is insignificant. Furthermore, our results indicate that equity prices respond to announcements within the trading period/hour after the information release. An indication of a return reversal is too small to cover the full transaction costs. Unexpected discount rate changes also contribute to higher market volatility although the volatility is short-lived. Similarly, unexpected changes in discount rates induce larger trading volume while expected changes do not. Abnormal trading volume occurs only in period t. Our results also support the notion that unexpected changes in the discount rates impact market returns irrespective of the Federal Reserve operating procedures.     

Fair wages,labor relations and asset returns

The paper investigates the nexus between labor and financial markets, focusing on how labor union’s attitude in the wage-setting process and the firm’s investment strategy affect asset returns. We assume that the labor union’s relative preferences between wage and employment depend on selected measures of firm’s financial performance. The paper shows that if the labor union ties its preference for wage to the firm’s dividends (or to any other quantity measuring available liquidity), then the volatility of the firm’s returns increases. Consequently, equities have to grant high expected returns in order to remunerate the increased volatility. This mechanism offers an explanation for the “equity premium” (that is the difference between the equity return rate and the risk free rate). It is a welcome result that the simulated excess return is about the empirical estimate and that it is obtained with a plausibly low parameterization of the shareholders’ risk aversion.