The determinants of the model-free positive and negative volatilities

In this paper we analyze the role of macroeconomic and financial determinants in explaining stock market volatilities in the U.S. market. Both implied and realized volatility are computed model-free and decomposed into positive and negative components, thereby allowing us to compute directional volatility risk premia. We capture the behaviour of each component of implied volatility and risk premium in relation to their different determinants. The negative implied volatility appears to be linked more towards financial conditions variables such as uncertainty and geopolitical risk indexes, whereas positive implied volatility is driven more by macro variables such as inflation and GDP. There is a clear shift in importance from macro towards financial determinants moving from the pre towards the post financial crisis. A mixed frequency Granger causality approach uncovers causality relationships between volatilities and risk premia and macro variables and vice versa, a finding which is not detected with a conventional low frequency VAR model.     

Options on Leveraged Equity: Theory and Empirical Tests

We develop an option pricing model for calls and puts written on leveraged equity in an economy with corporate taxes and bankruptcy costs. The model explains implied Black-Scholes volatility biases by relating them to the firm's structural characteristics such as leverage and debt covenants. We test the model by comparing predicted pricing biases with biases observed in a large cross-section of firms with liquid exchange traded option contracts. Our empirical study detects leverage related pricing biases. The magnitudes of these biases correspond to those predicted by our model. We also find significant pricing biases for firms financed primarily by short-term debt. This supports our model because short-term debt introduces net-worth hurdles similar to net-worth covenants.     

The pricing of conservative accounting and the measurement of conservatism at the firm-year level

This paper analyzes the relation between equity prices and conditional conservatism and introduces a new measure of conservatism at the firm-year level. We show that the asymmetric properties of conservative accounting, the existence of non-accounting sources of information, and the properties of GAAP related to special items combine to generate a nonlinear relation between unexpected equity returns and earnings news (the shock to expected current and future earnings). Based on this model, we construct a conservatism ratio (CR) defined as the ratio of the current earnings shock to earnings news. CR measures the proportion of the total shock to expected current and future earnings recognized in current year earnings. Ranking firms according to CR, we show empirically that higher CR firms have more leverage, increased volatility of returns, more incidence of losses, more negative accruals, and increased volatility of earnings and accruals, consistent with the literature on conservative accounting.     

Taxes, Leverage, and the Cost of Equity Capital

We examine the associations among leverage, corporate and investor level taxes, and the firm's implied cost of equity capital. Expanding on Modigliani and Miller [1958, 1963] , the cost of equity capital can be expressed as a function of leverage and corporate and investor level taxes. Based on this expression, we predict that the cost of equity is increasing in leverage, and that corporate taxes mitigate this leverage‐related risk premium, while the personal tax disadvantage of debt increases this premium. We empirically test these predictions using implied cost of equity estimates and proxies for the firm's corporate tax rate and the personal tax disadvantage of debt. Our results suggest that the equity risk premium associated with leverage is decreasing in the corporate tax benefit from debt. We find some evidence that the equity risk premium from leverage is increasing in the personal tax penalty associated with debt.     

Common asset pricing factors in volatilities and returns in futures markets

Factor-based asset pricing models have been used to explain the common predictable variation in excess asset returns. This paper combines means with volatilities of returns in several futures markets to explain their common predictable variation. Using a latent variables methodology, tests do not reject a single factor model with a common time-varying factor loading. The single common factor accounts for up to 53% of the predictable variation in the volatilities and up to 14% of the predictable variation in the means. S&P500 futures volatility predicted by the factor model is highly correlated with volatility implied in S&P500 futures options. But both the factor and implied volatilities are significant in predicting future volatility. In derivatives pricing, both implied volatility from options and factors extracted from asset pricing models should be employed.     

On the systematic volatility of unpriced earnings

Some important puzzles in macro finance can be resolved in a model featuring systematically varying volatility of unpriced shocks to firms? earnings. In the data, the correlation between corporate debt and stock market valuations is low. The model accounts for this via the opposing effect of unpriced earnings risk on levered debt and equity prices. The model also explains the low (or nonexistent) risk-reward relation for the market portfolio of levered equity via the opposing effects of unpriced and priced uncertainty (both components of stock volatility) on the levered equity risk premium. Versions of the model calibrated to empirical measures of both types of fundamental risk can quantitatively substantiate these explanations. Variation in residual earning dispersion accounts for a significant fraction of observed disagreement between debt and equity valuations and of realized stock volatility. The implication that the two components of risk should forecast the levered equity risk premium with opposite signs is also supported in the data. The results are a notable advance for risk-based asset pricing.     

Leverage and debt maturity choices by undiversified owner-managers

We examine the financing choices of undiversified owner-managers in a continuous-time model. Managers' financing choices as well as their dynamic equity stakes, which trade off their private benefits and the costs they incur due to their lack of diversification, are simultaneously and endogenously determined. Our analysis leads to the novel, empirically testable implications that leverage increases with the drift or expected growth rate of the firm's earnings. Debt maturity varies non-monotonically in a U-shaped manner with the project's drift and with its volatility. The predicted variations of leverage and debt maturity with the actual drift of earnings (controlling for the risk-neutral drift) are key implications of our theory that arise from the incorporation of agency conflicts between undiversified managers and well-diversified outside investors. They cannot, therefore, be obtained in traditional capital structure models in which all agents are well-diversified. Our predictions for the variation of leverage and debt maturity with project characteristics potentially reconcile empirical findings that are not consistent with previous theories. We also derive additional novel implications that link manager-specific characteristics - the discount rate or “degree of myopia” and the risk aversion - to leverage and debt maturity. These implications provide support for growing empirical evidence of the significant impact of manager characteristics and manager “fixed effects” on corporate financial policies.     

OPERATING LEVERAGE AND UNDERINVESTMENT

Using a contingent claims model, we examine the impacts of both operating leverage and financial leverage on a firm's investment decisions in the context of capacity expansion. Our model shows that quasi‐fixed operating costs could significantly mitigate the underinvestment problem for debt‐financed firms. The existing debt induces equity holders to delay equity‐financed expansion because the expanded earnings base will also benefit the debt holders by lowering the bankruptcy risk. The operating costs decrease this type of wealth transfer from equity holders to debt holders by magnifying the bankruptcy risk of the existing debt upon investment. By applying the Cox proportional hazard model on a large sample of publicly traded U.S. firms over 1966–2016, we offer empirical support for the theoretical predictions. The results are robust to various measures of operating leverage.     

Credit default swaps,the leverage effect,and cross-sectional predictability of equity and firm asset volatility

Leverage represents both a fundamental component of equity volatility and a long-run selection variable. Based on this premise, we investigate the influence of leverage on the long-run cross-sectional predictability of future realized equity volatility. Leverage makes equity volatility significantly less predictable than underlying firm asset volatility, a result that is robust to different predictors of future realized volatility: credit default swap implied, historical, and option implied volatility. A simple model of optimal capital structure, wherein companies maximize tax benefits subject to a common maximum default probability (minimum credit rating) target, helps explain this finding.     

Turbocharging Monte Carlo pricing for the rough Bergomi model

The rough Bergomi model, introduced by Bayer et al. [Quant. Finance, 2016, 16(6), 887–904], is one of the recent rough volatility models that are consistent with the stylised fact of implied volatility surfaces being essentially time-invariant, and are able to capture the term structure of skew observed in equity markets. In the absence of analytical European option pricing methods for the model, we focus on reducing the runtime-adjusted variance of Monte Carlo implied volatilities, thereby contributing to the model’s calibration by simulation. We employ a novel composition of variance reduction methods, immediately applicable to any conditionally log-normal stochastic volatility model. Assuming one targets implied volatility estimates with a given degree of confidence, thus calibration RMSE, the results we demonstrate equate to significant runtime reductions—roughly 20 times on average, across different correlation regimes.     

UNANTICIPATED INFLATION, TAXATION, AND COMMON STOCKS

This paper focuses on the effects of unanticipated inflation on the market value of equity in a system with corporation tax and historic cost depreciation. It is shown that there exists a unique combination of debt and equity under which inflation neutrality is obtained, Whether or not unanticipated inflation hurts or benefits the stockholders in a particular firm depends upon a number of conditions. These include the depreciation rate of its assets relative to the amortization rate of its debt. Finally, the present tax system is contrasted with a fully indexed system involving replacement cost depreciation and indexation     

Option implied volatilities and the cost of issuing equity

The structure of a firm-commitment Seasoned Equity Offering (SEO) resembles a put-option underwritten by an investment bank syndicate (Smith, 1977). Employing implied volatilities from issuers’ stock options as a direct forward-looking measure, this paper examines the impact of expected price risk around SEO issue dates on the direct cost of issuing equity. Using a comprehensive sample of 1208 SEOs between 1996 and 2009, we find issuers with higher option implied volatilities raise less external equity capital and pay higher investment bank fees in the stock market, ceteris paribus. The effect of implied volatility on the investment bank fees is stronger for larger issuers with lower pre-SEO abnormal realized stock volatilities, and for SEOs with higher expected price pressures around issue dates. These relationships are robust to adjustments for correlations among control variables, sample selection bias and also simultaneous determination of offer size and SEO fees.     

An inverted U‐shaped crude oil price return‐implied volatility relationship

We examined the return–volatility relationship for USO ETF oil price return and CBOE Crude Oil ETF Volatility Index, OVX. The data for the USO and OVX covers the period covering May 11, 2007 to February 28, 2013. Our OLS regression results suggest evidence of regular feedback and leverage effects. When we employ linear quantile regression techniques, we find evidence of regular and inverse feedback effects. The inverse feedback effects being noticeable in the upper quantile region of the oil return distribution. There is also support for a regular leverage effect in USO prices. We also examined the return–volatility relationship using quantile regression copula methods for measuring the degree of asymmetry in the relationships between the oil price return and implied volatility. The results of the analysis indicate, first, that there exists a negative relationship between contemporaneous oil VIX and USO ETF oil returns. Second, that the relationship between oil returns and implied volatilities depends on the quartile at which the relationship is being investigated. Third, there exists an inverted U-shaped dependency relationship between returns and implied volatilities across quantiles. Fourth, though an inverted U-shape exists, the shape is different from those observed in stock markets.     

Determinants of target capital structure: The case of dual debt and equity issues

We examine whether market and operating performance affect corporate financing behavior because they are related to target leverage. Our focus on firms that issue both debt and equity enhances our ability to draw inferences. Consistent with dynamic trade-off theories, dual issuers offset the deviation from the target resulting from accumulation of earnings and losses. Our results also imply that high market-to-book firms have low target debt ratios. On the other hand, consistent with market timing, high stock returns increase the probability of equity issuance but have no effect on target leverage.     

Information,interest rates,and the volatility of asset prices

The volatility of an asset price is modelled as a function of the volatility of an information signal, real interest rates and inflation expectations. Volatility depends on the duration of cash flows, and the degree to which cash flows are indexed to real rates and inflation. The model is applied to determine asset betas, the volatility of the futures prices of assets and the volatility of equity prices.     

On the determinants of the implied default barrier

Many structural models specify the default barrier, but few have explored its empirical significance and determinants. The effect of liquidity shortage is not well measured, nor is the effect of strategic default well identified. We use the maximum likelihood (ML) approach to estimate the default barrier model and the Merton-KMV model using market values of equities in a sample of 762 public industrial firms. The estimated barrier is below leverage in our sample. The default probability from the two structural models provides similar in-sample fits, but the default barrier framework achieves better out-of-sample forecasts. Our analysis also focuses on the factors that influence the level of the implied default barrier when leverage is endogenous, and shows that endogenous leverage is not the only determinant of the default barrier as predicted by the standard structural credit model. The implied default threshold is positively related to financing costs, and negatively related to liquidity, asset volatility, and firm size. Three strategic default variables (liquidation costs, renegotiation frictions and equity holders’ bargaining power) increase the implied default barrier level. This evidence supports strategic default models.     

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.     

Book-tax conformity and capital structure

We examine the effect of increased book-tax conformity on corporate capital structure. Prior studies document a decrease in the informativeness of accounting earnings for equity markets resulting from higher book-tax conformity. We argue that the decrease in earnings informativeness impacts equity holders more than debt holders because of the differences in payoff structures between debt and equity investments such that increases in book-tax conformity lead to increases in firms’ reliance on debt capital. We exploit a natural experiment in the U.S. and find that firms facing an increase in required book-tax conformity increase leverage relative to other firms. We also provide evidence of an increase in the cost of equity (but not of debt) capital for firms facing an increase in required book-tax conformity, relative to control firms, and show that these increases in cost of equity capital are positively associated with an increase in leverage. Our findings are consistent with firms substituting away from equity and toward more debt in the presence of higher book-tax conformity.     

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     

Earnings forecasts and idiosyncratic volatilities

We test the theoretical relation between idiosyncratic return volatilities and the volatilities of cash-flow news based on the expected returns on equity (ROE) for CRSP stocks over the period 1977–2008. Consistent with economic intuition, we find that using analyst forecasts of earnings is superior to using realized earnings to proxy for market expectations about future cash flow news. Our findings are consistent with a market where stock return volatilities are positively and asymmetrically related to changes in the volatilities of expectations for a fundamental driver of cash flow news (ROE). Our findings are robust after correcting for forecast biases, various fundamental variables, newly-listed and mature firms, and periods with and without earnings announcements.