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.     

Stock splits, trading continuity, and the cost of equity capital

We hypothesize that managers use stock splits to attract more uninformed trading so that market makers can provide liquidity services at lower costs, thereby increasing investors’ trading propensity and improving liquidity. We examine a large sample of stock splits and find that, consistent with our hypothesis, the incidence of no trading decreases and liquidity risk is lower following splits, implying a decline in latent trading costs and a reduced cost of equity capital. Further, split announcement returns are correlated with the improvements in both liquidity levels and liquidity risk. Our analysis suggests nontrivial economic benefits from liquidity improvements, with less liquid firms benefiting more from stock splits.     

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.

Board reforms and the cost of equity: International evidence

We examine the impact of corporate board reforms on the cost of equity (COE) using a sample of data in 41 countries for the period from 1992 to 2012. We find a significant increase in the COE after board reforms worldwide. This effect is eased for firms in countries under a comply-or-explain reform approach, as well as for firms in emerging countries. We further conclude that board reforms involving board independence, audit committee and auditor independence, and the separation of the CEO and Chairman positions, result in increases in the COE. Our results suggest that board reforms are considered inefficient to mitigate agency problems.     

Striking the implied volatility of US drone companies

This study analyzes the impact of drone strikes on the implied volatility of US drone companies. We find evidence of an overall increase in the implied volatility the day after the strike. We subset drone strikes according to countries targeted and US president in office, finding a more significant impact for strikes in Afghanistan and Pakistan, and under the Bush or Obama’s administration. We find that drone strikes are also associated with next day decreasing stock returns of the drone companies. A possible increasing geopolitical risk concern and resiliency rationale may explain our findings.     

Short-selling and cost of equity: evidence from China

In this study, we take advantage of the gradual lifting of the short-selling ban in China and find that firms affected by the lifting of the ban experience a lower cost of equity. In addition, the affected firms also incur less earnings management, higher market liquidity and higher investment efficiency. Further evidence shows that firms’ cost of equity increases after their stocks are no longer eligible for short selling. Our inferences are robust to alternative measures of cost of equity, and to using a propensity score-matched sample. Our study contributes to the literature by providing evidence that short sellers play a monitoring role in the Chinese stock markets and sheds light on the benefits of short selling in emerging markets.     

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.     

Dynamics of foreign exchange implied volatility and implied correlation surfaces

The prices of currency options expressed in terms of their implied volatilities and the implied correlations between foreign exchange rates at a given point in time depend on option delta and time to maturity. Implied volatilities and implied correlations likewise may thus be represented as a surface. It is well known that these surfaces exhibit both skew/smile features and term structure effects and their shapes fluctuate substantially over time. Using implied volatilities on three currency pairs as well as historical implied correlation values between them, we study the nature of these fluctuations by applying a Karhunen-Loève decomposition that is a generalization of a principal component analysis. We demonstrate that the largest share in the dynamics of these surfaces' fluctuations may be explained by exactly the same three factors, providing evidence of strong interdependences between implied correlation and implied volatility of global currency pairs.     

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.     

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.

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.     

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.     

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.