Degrees-of-freedom problem and implied cost of equity capital

Bias in implied cost of equity estimates arises from analyst optimism and a degrees-of-freedom problem. The common practice in empirical studies of using a proxy for the earnings forecast horizon beyond two years in the Ohlson and Juettner-Nauroth (OJ) model is potentially biased. We derive a generalized OJ model over a T period forecast horizon and indicate the extent of this bias. The implied cost of equity capital is obtained from a quadratic equation, where our constant term comprises T short-term annual earnings per share growth rates, rather than just the next-period counterpart in the OJ model.     

The implied cost of equity capital,corporate investment and chief executive officer turnover

This study investigates how the cost of equity capital, along with corporate investment, affects chief executive officer (CEO) turnover decisions. We hypothesize that the cost of equity conveys information about firm performance uncertainty that is informative of CEO talent. Consistently, our empirical results show that the likelihood of CEO turnover is positively associated with the implied cost of equity, after controlling for earnings and stock performance measures and risk factors. Additional analysis of reverse causality supports the causal effect of the high cost of equity on CEO dismissals. We also find that the positive association is more pronounced for firms that are more likely to suffer from underinvestment problems. These results suggest that the cost of equity plays a more important role in assessing CEO performance when the firm needs more external equity capital to pursue investment opportunities.     

Multiple large shareholders, control contests, and implied cost of equity

In this paper, we examine whether the presence of multiple large shareholders alleviates a firm's agency costs and information asymmetry manifested in the cost of equity financing. Using data for 1165 corporations from 8 East Asian and 13 Western European countries, we find evidence that the implied cost of equity decreases with the presence, number, and voting size of large shareholders beyond the controlling owner. We also find that the identity of the second largest shareholder is important in determining the risk of corporate expropriation in family-controlled firms. Our regional analysis reveals that, mainly in East Asian firms, multiple large shareholders structures exert an internal governance role in curbing private benefits and reducing information asymmetry, perhaps to sidestep deficiencies in the external institutional environment.     

Equity value,implied cost of equity and shareholders’ real options

This study investigates the effects of shareholders’ real options on (i) firm financial performance and (ii) estimations of the implied cost of equity. After measuring the equity value of steady‐state operations using the residual income model, and the abandonment and expansion options using the Black‐Scholes option pricing model, I find that firms with a large expansion (abandonment) option value experience better (worse) financial performance than those with a small such value. I also find that ignoring these options results in a downward bias in implied cost of equity estimates by an average of 1.23 percentage points.     

The bias in Black-Scholes/Black implied volatility: An analysis of equity and energy markets

In this paper we examine the extent of the bias between Black and Scholes (1973)/Black (1976) implied volatility and realized term volatility in the equity and energy markets. Explicitly modeling a market price of volatility risk, we extend previous work by demonstrating that Black-Scholes is an upward-biased predictor of future realized volatility in S&P 500/S&P 100 stock-market indices. Turning to the Black options-on-futures formula, we apply our methodology to options on energy contracts, a market in which crises are characterized by a positive correlation between price-returns and volatilities: After controlling for both term-structure and seasonality effects, our theoretical and empirical findings suggest a similar upward bias in the volatility implied in energy options contracts. We show the bias in both Black-Scholes/Black implied volatilities to be related to a negative market price of volatility risk. JEL Classification G12 · G13     

The impacts of parent’s listing status on subsidiary’s financial constraint and cost of equity capital: the case of equity carve‐outs

We find that listed parents’ carve‐outs have investment‐cash‐flow sensitivities 70 per cent lower than unlisted parents’ carve‐outs, on average. Such a finding is stronger when we consider only equity carve‐outs in technological industries. The finding suggests that listed parents are more capable of alleviating the financial constraint of their carved‐out units than private parents. Our further analysis shows that listed parents’ carve‐outs also have a lower cost of equity than their counterparts, but such difference cannot be explained by corporate transparency, as implied by analyst coverage and analysts’ forecast dispersion. Therefore, we argue that the benefits from affiliation with a listed parent to the carve‐out come mainly from the parent’s financial support rather than an increase in corporate transparency.     

The relation between implied and realised volatility in the Danish option and equity markets

We show that the conclusions to be drawn concerning the informational efficiency of illiquid options markets depend critically on whether one carefully recognises and appropriately deals with the econometrics of the errors‐in‐variables problem. This paper examines the information content of options on the Danish KFX share index. We consider the relation between the volatility implied in an option's price and the subsequently realised index return volatility. Since these options are traded infrequently and in low volumes, the errors‐in‐variables problem is potentially large. We address the problem directly using instrumental variables techniques. We find that when measurement errors are controlled for, call option prices even in this very illiquid market contain information about future realised volatility over and above the information contained in historical volatility.     

Disclosure and the cost of equity in international cross-listing

In this paper, we examine the relationship between disclosure level and the cost of equity capital for a sample of international firms cross-listing on the New York Stock Exchange. Increased disclosure has the potential to reduce information asymmetry, reduce the cost of financing and increase analyst following. Using an international asset pricing model, we find that listing firms experience a decrease in both disclosure risk and systematic risk while matching firms do not. Further, we find that the magnitude of the decrease is related to three types of disclosure: accounting standards; analyst following; and exchange/regulatory investor protection. Our results suggest that increased disclosure through accounting standards is beneficial to investors and that disclosure can be accomplished through information intermediaries, e.g., analyst following. For firms with the lowest levels of disclosure prior to cross-listing, all three types of disclosure appear to be valuable.

Shareholder rights, financial disclosure and the cost of equity capital

This study extends research into whether shareholder rights and disclosures of financial-related attributes are associated with firms' costs of equity capital. Using cost-of-equity-capital estimates derived from expected earnings growth valuation models, we find that firms with stronger shareholder rights regimes and higher levels of financial transparency are associated with significantly lower costs of equity capital. We also find evidence that greater financial disclosure and stronger rights regimes interact in reducing firms' costs of equity capital, such that the effect of a high level of one mechanism is minimal when it is combined with a low level of the other. Finally, we document that neither factor dominates the other in their associations, and that there are tradeoffs between disclosure levels and shareholder rights in their influence on firms' implied costs of equity capital. JEL Classification G30 · M10     

Beyond CAPM: estimating the cost of equity considering idiosyncratic risks

The present study proposes a new evaluation approach aimed at estimating the cost of equity through standardized models which consider an innovative set of firm-specific information on the main unsystematic risks which are typical of any business. Our objective is extending the Capital Asset Pricing Model (CAPM) by defining a standard formula for quantifying the premium for certain idiosyncratic risks as a function of a new set of firm-specific quantitative information. We define two econometric models, for listed and non-listed firms respectively, which consider five idiosyncratic risk factors: firm size, value factor, operating risks, financial structure and stock market price volatility. The models were tested on a sample of European non-financial companies. The empirical results show that while the CAPM systematically underestimates the cost of equity, the proposed models correctly estimate its expected value; furthermore, they show a slight improvement also in terms of estimates’ volatility. Due to their efficacy and ease of use, the proposed models represent a valid practical tool for investors, analysts and professional evaluators. This work contributes to the existing literature by proposing a typologically innovative extension of the CAPM set of explanatory variables, defining and testing new models for the estimation of the unsystematic risks’ spread of the cost of equity based on an original set of firm-specific accounting and market information.     

The relationship between implied and realized volatility: evidence from the Australian stock index option market

This paper examines the relationship between the volatility implied in option prices and the subsequently realized volatility by using the S&P/ASX 200 index options (XJO) traded on the Australian Stock Exchange (ASX) during a period of 5 years. Unlike stock index options such as the S&P 100 index options in the US market, the S&P/ASX 200 index options are traded infrequently and in low volumes, and have a long maturity cycle. Thus an errors-in-variables problem for measurement of implied volatility is more likely to exist. After accounting for this problem by instrumental variable method, it is found that both call and put implied volatilities are superior to historical volatility in forecasting future realized volatility. Moreover, implied call volatility is nearly an unbiased forecast of future volatility.

Volatility linkages of the equity,bond and money markets: an implied volatility approach

This study proposes an alternative approach for examining volatility linkages between Standard & Poor's 500, Eurodollar futures and 30 year Treasury Bond futures markets using implied volatility from the three markets. Simple correlation analysis between implied volatilities in the three markets is used to assess market correlations. Spurious correlation effects are considered and controlled for. I find that correlations between implied volatilities in the equity, money and bond markets are positive, strong and robust. Furthermore, I replicate the approach of Fleming, Kirby and Ostdiek (1998) to check the substitutability of the implied volatility approach and find that the results are nearly identical; I conclude that my approach is simple, robust and preferable in practice. I also argue that the results from this paper provide supportive evidence on the information content of implied volatilities in the equity, bond and money markets.     

Jump risk,stock returns,and slope of implied volatility smile

In the presence of jump risk, expected stock return is a function of the average jump size, which can be proxied by the slope of option implied volatility smile. This implies a negative predictive relation between the slope of implied volatility smile and stock return. For more than four thousand stocks ranked by slope during 1996–2005, the difference between the risk-adjusted average returns of the lowest and highest quintile portfolios is 1.9% per month. Although both the systematic and idiosyncratic components of slope are priced, the idiosyncratic component dominates the systematic component in explaining the return predictability of slope. The findings are robust after controlling for stock characteristics such as size, book-to-market, leverage, volatility, skewness, and volume. Furthermore, the results cannot be explained by alternative measures of steepness of implied volatility smile in previous studies.     

What is the correct meaning of implied volatility?

This paper presents a closed-form solution for the valuation of European options under the assumption that the excess returns of an underlying asset follow a diffusion process. In light of our model, the implied volatility computed from the Black–Scholes formula should be viewed as the volatility of excess returns rather than as the volatility of gross returns. Using the SPX and the OMX options data, we test whether implied volatility obtained from Black-Scholes option price explains the volatilities of excess returns better than gross returns, even though the result is not statistically significant.     

Religious atmosphere and the cost of equity capital: Evidence from China

The cost of equity capital (ICC) is a crucial component of investment decisions and corporate performance evaluations. This study explores the effect of a region’s religious atmosphere on ICC and finds that ICC tends to be lower when stronger religious atmosphere is created. We further use the mediation effect method to clarify the specific channel through which religious atmosphere reduces ICC, and find that earnings quality, corporate investment efficiency and corporate social responsibility partially mediate the effect of religious atmosphere on ICC. Moreover, the relationship between religious atmosphere and ICC is more pronounced in firms with stronger external law environments and higher audit quality, indicating that formal institutions and religious tradition complement each other.     

Mass at zero in the uncorrelated SABR model and implied volatility asymptotics

We study the mass at the origin in the uncorrelated stochastic alpha, beta, rho stochastic volatility model and derive several tractable expressions, in particular when time becomes small or large. As an application—in fact the original motivation for this paper—we derive small-strike expansions for the implied volatility when the maturity becomes short or large. These formulae, by definition arbitrage free, allow us to quantify the impact of the mass at zero on existing implied volatility approximations, and in particular how correct/erroneous these approximations become.     

The effect of management earnings forecast characteristics on cost of equity capital

This study uses a framework presented in Hirst, Koonce, and Venkataraman (2008) to assess how differences in management earnings forecast characteristics influence a firm's cost of equity capital. I find that less specific forecasts, pessimistic forecasts, and forecasts that predict a loss for the period are associated with higher cost of equity capital levels and more timely forecasts and forecasts with more information content are associated with lower cost of equity capital levels. Analysis interacting control variables and forecast antecedents with forecast characteristics indicates that the effects forecast characteristics have on cost of equity capital are either enhanced or moderated depending on firm beta, firm size, firm book-to-market ratios, analyst following, prior forecast bias, and earnings quality. The results highlight the importance of interacting key variables when interpreting the market effect of management earnings forecasts.     

News implied volatility and disaster concerns

We construct a text-based measure of uncertainty starting in 1890 using front-page articles of the Wall Street Journal. News implied volatility (NVIX) peaks during stock market crashes, times of policy-related uncertainty, world wars, and financial crises. In US postwar data, periods when NVIX is high are followed by periods of above average stock returns, even after controlling for contemporaneous and forward-looking measures of stock market volatility. News coverage related to wars and government policy explains most of the time variation in risk premia our measure identifies. Over the longer 1890–2009 sample that includes the Great Depression and two world wars, high NVIX predicts high future returns in normal times and rises just before transitions into economic disasters. The evidence is consistent with recent theories emphasizing time variation in rare disaster risk as a source of aggregate asset prices fluctuations.     

Financial development,corporate governance and cost of equity capital

Existing research suggests that external governance is more relevant than internal governance in affecting a firm’s value. We contribute to the literature by explicitly examining the interactive role played by country-level financial development and legal institutions in influencing the impact of firm-level governance on the cost of equity capital. Using a comprehensive sample of 7380 firm years drawn from 22 developed countries, we show that firm-level corporate governance attributes affect the cost of equity capital primarily in the Common Law countries with high levels of financial development. Our study is the first to highlight the complementary effects of legal origin, financial development and firm-level governance attributes in influencing the cost of equity capital.     

Re-examination of the historical equity risk premium in Australia

In light of the ongoing debate over the value of the equity risk premium, its increasing use in the regulatory setting, and the impact of dividend imputation on the premium, this paper presents a timely new look at the historical equity risk premium in Australia, and provides an improved understanding of the historical record. We document concerns about data quality that become increasingly important the further back in time one looks. In particular, there are sufficient question marks over the quality of data prior to 1958 to warrant any estimates based thereon to be treated with caution. Accordingly, we present a new set of estimates of the historical equity risk premium corresponding to periods of increasing data quality but of decreasing sample size. Relative to bonds (bills), the equity premium has averaged 6.3 per cent (6.8 per cent) per annum over 1958–2005, which is a period of relatively good data quality. Together with other results in the paper, the findings reveal a historical estimate that is substantially less than widely cited historical studies would otherwise indicate. We reconcile prior evidence through documenting a dividend adjustment that has typically been overlooked. We also provide estimates that incorporate an adjustment for imputation credits.