VALUATION AND RISK-ADJUSTED DISCOUNT RATES

There is a continuing controversy as to whether the use of a constant risk adjusted discount rate in capital budgeting decisions implies that the risk of the cash flows increases over time. This paper shows that valuation using these discount rates implies an increasing premium for risk over time but that the increasing premium is due to the net impact of the uncertainty in the cash flow; uncertainty in future market expectations of the cash flow; and changes in the market price of risk. The risk of the cash flow itself need not be increasing over time.     

Understanding Stock Price Volatility: The Role of Earnings

In an efficient capital market, asset prices vary when investors change their expectations about cash flows, discount rates, or both. Using dividends to measure cash flows, previous research shows that the aggregate dividend‐price ratio varies due to changes in expected discount rates (returns) rather than expected cash flows. In contrast, using accounting earnings instead of dividends as a measure of cash flows, this paper shows that as much as 70% of the variation in the dividend‐price ratio can be explained by changes in expected earnings. Moreover, the paper documents a significant negative correlation between expected returns and expected earnings, suggesting that variations in a common factor to both may generate significant price volatility. The results are consistent with the dividend‐policy irrelevance hypothesis.     

How Do Investment Banks Value Initial Public Offerings (IPOs)?

Abstract:  We investigate the valuation and the pricing of initial public offerings (IPOs) by investment banks for a unique dataset of 49 IPOs on Euronext Brussels in the 1993–2001 period. We find that for each IPO several valuation methods are used, of which Discounted Free Cash Flow (DFCF) is the most popular. The offer price is mainly based on DFCF valuation, to which a discount is applied. Our results suggest that DDM tends to underestimate value, while DFCF produces unbiased value estimates. When using multiples, investment banks rely mostly on future earnings and cash flows. Multiples based on post-IPO forecasted earnings and cash flows result in more accurate valuations.     

Detecting news in aggregate accounting earnings: implications for stock market valuation

How much news is there in aggregate accounting earnings? I provide evidence that earnings changes at the stock market level are correlated with new information about not only expected future cash flows but also discount rates. A comprehensive investigation of the link to discount rates reveals that aggregate earnings changes are tied to news about all components of the expected future stock market return, i.e., the real riskless rate, expected inflation, and the expected equity risk premium. Over the sample period studied, cash flow news and discount rate news in aggregate earnings changes covary positively and have offsetting impacts on stock market prices. As a result, stock market prices appear to be insensitive to aggregate earnings changes. The findings highlight the importance of separating cash flow news from discount rate news when evaluating the information content of accounting earnings at the stock market level. Overall, my study sheds new light on the informativeness and relevance of accounting earnings for valuation at the stock market level.     

When Good News Is Not So Good: Economy‐wide Uncertainty and Stock Returns

This paper shows that variation in economy‐wide uncertainty causes asymmetric stock price responses to firm earnings surprises. The uncertainty that attends bad earnings news that arrives during expansions with greater economy‐wide uncertainty occasions larger price declines. This is because news inconsistent with investors’ prior beliefs about the state of the economy increases uncertainty, which amplifies the negative cash flow effects contained in bad earnings news. Asymmetrically, the positive cash flow effect of good earnings news that arrives during recessions is offset by increased investor uncertainty, which results in relatively smaller price reactions to the good news. This is consistent with Veronesi's rational expectations equilibrium model, which shows that investors demand higher expected returns in the face of greater uncertainty.     

AN EMPIRICAL TEST OF AN EX-ANTE MODEL OF THE DETERMINATION OF STOCK RETURN VOLATILITY

The assumption that changing expected cash flows and discount factors affect a security's return is at the foundation of many financial models. This study examines empirically the hypothesis that expected stock return variability is a function of cash flow and discount rate uncertainty. Maximum likelihood estimation techniques and expectational data are employed. Strong, positive relationships are found, verifying the foundations of the ex-ante models with ex-ante data and providing a better understanding of security markets by explaining, in part, the causes of expected stock price variability.     

Economic determinants of price informativeness about future earnings

This study investigates how the value-creation process affects the extent to which stock prices incorporate value-relevant information about future earnings. In contrast to previous studies focusing on the value-reporting process, this paper shows that strong product market power accelerates the incorporation of future earnings into current equity prices due to less uncertainty about future cash flows and that intensive long-term investment deters such incorporation because of greater uncertainty regarding future cash flows. The results suggest that firm fundamentals shaped by product market competition and long-term investment explain the price informativeness about future earnings beyond the impact of management’s reporting discretion.     

The use of earnings and cash flows in investment decisions in the U.S. and Mexico: Experimental evidence

In this study, we investigate which of two accounting performance measures, earnings or cash flows, is used more in valuation decisions by non-professional investors in the United States and in Mexico. This issue is relevant for the Mexican Stock Market (Bolsa Mexicana de Valores) because the Bolsa's growth has stagnated compared with markets of other Latin American countries. Results of the study reveal that the majority of participants in the U.S. rely on earnings while the majority of participants in Mexico rely on cash flows. Results also suggest that the users’ predisposition can be dysfunctional to the extent that they do not consider using the other accounting measure, even when doing so made it easier to arrive at the correct valuation result (i.e. they did not choose to use the more persistent and therefore easier to forecast accounting measure). However, results are mixed for participants using earnings, since we document a higher chance of forecasting errors for participants in both countries when using earnings rather than cash flows in their calculations for the failure of these participants to adjust earnings for depreciation.This study extends the existing international literature by documenting a country-specific predisposition to use cash flows or earnings as a valuation tool by non-professional investors. Moreover, this study also shows that this predisposition can be dysfunctional, leading participants to make incorrect valuation decisions as a result of their failure to consider the differential persistence of the two accounting measures presented in the experiment.     

Corporate bond returns and the financial crisis

We examine effects of government actions and related accounting policies on the corporate bond market implied by changes in relations between aggregate bond returns and cash flow and discount rate news. We capture the influence of risk by partitioning bonds into investment and speculative grades. We use earnings changes as a proxy for cash flow news and T-Bill rate changes as a proxy for discount rate news. As expected, during non-crisis periods, we observe a positive relation between earnings changes and bond returns and a negative relation for T-Bill rate changes. A combination of government bailouts of large financial institutions and mark-to-market accounting preserves the positive relation for earnings changes during the crisis for investment grade bonds, while absence of these factors leads to an insignificant relation for speculative grade. Intervention by the Federal Reserve to induce lower interest rates as earnings were declining, a flight to safety shifting demand from corporate bonds to T-Bills, and low cost funds invested in risk free investments explain a reversal of the relation between bond returns and T-Bill rate changes for both grades.     

Auditor quality effects on the relationship between accruals,cash flows and equity returns: a variance decomposition analysis

In this paper, we examine the relative importance of the cash flow and accruals components of earnings in explaining the variation in UK company equity returns, together with the extent to which these relationships vary by auditor quality. We use a multivariate time-series approach that can be reconciled to a log-linear theoretical valuation model and, unlike the standard linear regression of returns on earnings components, accommodates time-varying discount rates. Based on a decomposition of the variance of equity returns, cash flows and accruals, our results indicate that both cash flow news and accruals news are important drivers of UK equity returns, although cash flows are more influential than accruals. We also find that variation in both earnings components has a more significant effect on returns for clients of large auditors. Finally, our results provide mixed evidence on the question of whether the impact of auditor quality is highest for the accruals component of earnings.     

Estimating cost of capital in firm valuations with arithmetic or geometric mean – or better use the Cooper estimator?

We test the extent and determinants of bias effects of the arithmetic as well as the geometric mean estimator and the estimator of Cooper [1996. Arithmetic versus geometric mean estimators: Setting discount rates for capital budgeting. European Financial Management 2 (July): 157–67] regarding discount rate estimation for firm valuation by way of a bootstrap approach for 13 different countries. The Cooper estimator is superior to both the geometric and the (conventional) arithmetic mean estimator. However, a ‘truncated’ version of the arithmetic mean estimator leads generally to better estimation outcomes than the Cooper estimator. This means that, in order to reduce problems of upward-biased firm value estimates, expected cash flows beyond a certain time horizon are completely neglected in terminal value estimation. Such an approach seems particularly reasonable for the valuation of young growth companies as well as for companies from quickly developing countries such as Brazil, China, or Thailand, because the bias in terminal value estimation is increasing in the growth rate of future expected cash flows.     

The term structures of equity and interest rates

This paper proposes a dynamic risk-based model capable of jointly explaining the term structure of interest rates, returns on the aggregate market, and the risk and return characteristics of value and growth stocks. Both the term structure of interest rates and returns on value and growth stocks convey information about how the representative investor values cash flows of different maturities. We model how the representative investor perceives risks of these cash flows by specifying a parsimonious stochastic discount factor for the economy. Shocks to dividend growth, the real interest rate, and expected inflation are priced, but shocks to the price of risk are not. Given reasonable assumptions for dividends and inflation, we show that the model can simultaneously account for the behavior of aggregate stock returns, an upward-sloping yield curve, the failure of the expectations hypothesis, and the poor performance of the capital asset pricing model.     

Risk-adjusted discount rates and capital budgeting under uncertainty

This paper is concerned with the valuation of multiperiod cash flows in a world where prices are determined according to the Sharpe-Lintner-Black model of capital market equilibrium. We find that the current market value of any future net cash flow is the current expected value of the flow discounted at risk-adjusted discount rates for each of the periods until the flow is realized. The discount rates are known and non-stochastic, but the rates for the different periods preceding the realization of a cash flow need not to be the same, and the rates relevant for a given period can differ across cash flows. The risk adjustments in the discount rates arise because of uncertainties about reassessments through time of the expected value of a flow and the relationships between these reassessments and the corresponding reassessments of the expected cash flows of all firms.     

Discussion of “Using accounting information for consumption planning and equity valuation”

This paper discusses Yee (2007), who investigates the role of accounting information for consumption planning and equity valuation. Higher earnings quality increases investor welfare and ex ante stock prices as well as the weight on earnings in valuation equations based on both cash flows and earnings. The former is due to improved consumption smoothing through more informed production choices, while the latter is due to the impact on the relative information content of current cash flows versus earnings about future cash flows.     

The market’s use of supplier earnings information to value customers

In this paper we examine whether the quarterly earnings announcements of supplier firms contain information about their customer’s earnings. Our evidence suggests that they do. Specifically, we find evidence consistent with the market impounding supplier firm earnings information into the stock prices of the firm’s customers. This is consistent with the market using the supplier’s earnings to help assess the customer firm’s future cash flows and/or uncertainty of those cash flows. We also find that the quality of the earnings influences the magnitude of the customer firm’s stock price reaction. The customer’s stock price reaction is increasing in the revenue growth reported by the supplier and the past persistence of the supplier’s earnings. Additional tests reveal that the market reaction is amplified when the customer firm is more dependent on the supplier. Finally, we find that the relative bargaining power of the customer influences the market reaction to supplier earnings. While prior research has documented that the market uses industry peer earnings and customer earnings in pricing a firm’s stock, this is the first study to provide evidence on the market’s use of supplier earnings information.     

Valuation of Internet Stocks—An IPO Perspective

We empirically investigate valuations of Internet firms at various stages of the initial public offering (IPO) from two perspectives. First, we examine the association between the valuation of Internet IPOs and a set of financial and nonfinancial variables, which prior anecdotal or empirical evidence suggests may serve as value drivers. Second, we document differences in IPO valuations between Internet and non-Internet firms as well as across different stages in the IPO process—i.e., initial prospectus price, final offer price, and first trading day price—within each set of firms. Our primary two conclusions are as follows. First, there are noticeable differences between valuations of Internet and non-Internet firms, especially at the prospectus and final IPO stage. Specifically, the valuation of non-Internet firms generally follows the conventional wisdom regarding valuation: positive earnings and cash flows are priced, while negative earnings and negative cash flows are not. The valuation of Internet firms, however, departs from conventional wisdom, with earnings not being priced, and negative cash flows being priced perhaps because they are viewed as investments. This difference between the two classes of firms may be expected, given the age and unique nature of the Internet industry. Second, there are significant differences between the initial valuation of firms at the prospectus and IPO stage and their valuation by the stock market at the end of the first trading day. For non-Internet firms, the difference is largely ascribed to the relative offering size. For Internet firms, however, the differences are with respect to positive cash flows, sales growth, R&D, and high-risk warnings, in addition to the relative offering size.     

Valuation of Corporate Innovation and the Pricing of Risk in the Biopharmaceutical Industry: The Case of Gilead

Much of a firm's market value derives from expected future growth value rather than from the value of current operations or assets in place. Pharmaceutical companies are good examples of firms where much market value comes from expectations about drugs still in the development “pipeline.” Using a new osteoporosis drug being developed by Gilead Sciences, Inc., the author combines discounted cash flow methods values and real option models to value it. Alone, discounted cash flow (DCF) calculations are vulnerable to the assumptions of growth, cost of capital, and cash flows. But by integrating the real options approach with the DCF technique, one can value a new product in the highly regulated, risky and research‐intensive Biopharmaceutical industry. This article shows how to value a Biopharmaceutical product, tracked from discovery to market launch in a step‐by‐step manner. Improving over early real option models, this framework explicitly captures competition, speed of innovation, risk, financing need, the size of the market potential in valuing corporate innovation using a firm‐specific measure of risk and the industry‐wide value of growth operating cash flows. This framework shows how the risk of corporate innovation, which is not fully captured by the standard valuation models, is priced into the value of a firm's growth opportunity. The DCF approach permits top‐down estimation of the size of the industry‐wide growth opportunity that competing firms must race to capture, while the contingency‐claims technique allows bottom‐up incorporation of the firm's successful R&D investment and the timing of introduction of the new product to market. It also specifically prices the risk of innovation by modeling its two components: the consumer validation of technology and the expert validation of technology. Overall, it estimates the value contribution per share of a new product for the firm.     

Accounting for Sovereign Risk When Investing in Emerging Markets

In theory, political risk is project‐specific and should be accounted for in the estimation of the expected investment cash flows. But in practice, the political risk associated with this type of investment is typically accounted for implicitly by adjusting the investment's required rate of return or the discount rate. As the authors discuss in the article, this approach disguises the specific assumptions being made about the risk of expropriation and so makes it difficult to assess this risk properly. While defending some aspects of current practice, the authors argue that corporate executives should consider some changes. For example, although a project analysis that is shared with the host government could incorporate a risk adjustment to the discount rate, the authors suggest that more explicit analysis of the anticipated risk of expropriation should be incorporated into the analysis of expected project cash flows. This analysis could involve making specific assumptions about the “term structure” of expropriation risk over the life of the investment. Finally, the authors note that the political risk of making investments in emerging economies can be managed to some extent. Investments can be structured in ways that reduce political risk by structuring project cash flows in ways that better align the incentives of the project sponsor and the government of the host country.     

Implementing Fischer Black's Simple Discounting Rule

Corporate managers typically estimate the value of capital projects by discounting the project's expected future net cash flows at the cost of capital. The capital asset pricing model (CAPM) is generally used to estimate that cost. But, as anyone who has worked on the finance or business development staff of a public company can attest, there are major challenges in applying the CAPM, including largely unresolved questions about what constitutes the “market portfolio,” how to estimate market risk premiums, and how to estimate the betas of projects. In a short article published in Financial Management in 1988, Fischer Black proposed a valuation “discounting rule” that avoids all these problems—one that involves discounting a relatively certain (as opposed to an expected or average) level of operating cash flows at the risk-free rate. But Black's article does not address the question of how to calculate these “certainty equivalent” or “conditional” cash flows. In this article, the authors propose a way of implementing Black's rule that involves estimating the “conditional” cash flows in a three-step procedure:

• • Find a benchmark security that correlates with the project's cash flows;
• • Estimate the percentiles of the distribution in which the benchmark return equals the risk-free rate over different investment horizons;
• • Use information from corporate managers to assess the cash flows that define the same percentiles in the cash flow distributions.

As the authors point out, the virtue of Black's rule is that it shifts the focus of the analyst away from the assessment of discount factors and puts it squarely on the more challenging, and arguably more relevant, problem of estimating the project's cash flows.