First-passage probability, jump models, and intra-horizon risk

This paper proposes a risk measure, based on first-passage probability, which reflects intra-horizon risk in jump models with finite or infinite jump activity. Our empirical investigation shows, first, that the proposed risk measure consistently exceeds the benchmark value-at-risk (VaR). Second, jump risk tends to amplify intra-horizon risk. Third, we find large variation in our risk measure across jump models, indicative of model risk. Fourth, among the jump models we consider, the finite-moment log-stable model provides the most conservative risk estimates. Fifth, imposing more stringent VaR levels accentuates the impact of intra-horizon risk in jump models. Finally, using an alternative benchmark VaR does not dilute the role of intra-horizon risk. Overall, we contribute by showing that ignoring intra-horizon risk can lead to underestimation of risk exposures.     

Risk Management: History,Definition, and Critique

The study of risk management began after World War II. Risk management has long been associated with the use of market insurance to protect individuals and companies from various losses associated with accidents. Other forms of risk management, alternatives to market insurance, surfaced during the 1950s when market insurance was perceived as very costly and incomplete for protection against pure risk. The use of derivatives as risk management instruments arose during the 1970s, and expanded rapidly during the 1980s, as companies intensified their financial risk management. International risk regulation began in the 1980s, and financial firms developed internal risk management models and capital calculation formulas to hedge against unanticipated risks and reduce regulatory capital. Concomitantly, governance of risk management became essential, integrated risk management was introduced, and the chief risk officer positions were created. Nonetheless, these regulations, governance rules, and risk management methods failed to prevent the financial crisis that began in 2007.     

Fragility,stress, and market returns

We propose a novel risk measure that relates to subsequent negative conditional stock market returns. Our risk measure considers both the fragility and stress of the market. Fragility is measured by the Fragility Index developed by Berger and Pukthuanthong (2012) and market stress is based on several economic variables. Results show that incorporating both market stress and fragility improves the information content of a risk measure. Our risk measure relates to poor subsequent monthly market returns. We show the risk measure contains predictive information in a purely ex-ante specification.     

BETA,SIZE, RISK,AND RETURN

We relate the cross‐section of stock returns to firm size, beta, and total risk. We find that as extreme monthly security returns are censored from the data, the significance level decreases rapidly for the size variable and increases for beta and total risk. An analysis of up and down markets reaffirms our findings. Consequently, average returns relate positively with beta, negatively with total risk, and not at all with firm size. We infer that investors willingly accept a lower average return on high‐total‐risk investments as the trade‐off for buying a chance at an extreme positive return. JEL classification: G1.     

Transparency,idiosyncratic risk,and convertible bonds

We first investigate the relationship among a company's information transparency, idiosyncratic risk, and return of its convertible bonds. The effects of a company's idiosyncratic risk on its equity's value volatility and its credit risk are also examined. The findings indicate that when a company discloses a significant amount of information, it is likely to have a higher idiosyncratic risk and a lower credit risk, with no impact on returns on convertible bonds. The volatility of stock returns is positively related to returns on convertible bonds, and it is found that diversified strategies and returns on a company's equity help to improve its credit rating and that a better credit rating triggers an increase in returns on convertible bonds and idiosyncratic risk, indicating that evaluations of the value of convertible bonds must take pure bonds and equity (option) values into account. After excluding conversion values and estimating the idiosyncratic risk on daily, weekly, and monthly bases, this study suggests that there is a positive relation between returns on convertible bonds and information transparency when estimating idiosyncratic risk on a monthly basis and that a positive association also exists between credit rating, idiosyncratic risk, and returns on bonds.     

Uncertain inflation,exchange rates,and bond yields

The yields on international bonds are affected by exchange rate risk and country risk, in addition to factors such as default and duration that are relevant in the pricing of domestic bonds. This paper constructs a theory of bond yields in a single period framework, with the risk of nominal bonds being endogenous to the model. The behaviour of the monetary authority is modelled explicitly and is shown to be a crucial determinant of the risk of nominal bonds. A distinction is made between the risk of default in the usual sense, and the risk of being paid in currency which is worth less in real terms, with the type of risk that is relevant in a particular case depending on the monetary policy followed. The implications of results for exchange rate risk are also explored in a world where Purchasing Power Parity holds.     

Investment,idiosyncratic risk,and growth options

We provide evidence that growth options play an important role in determining the negative relation between corporate investment and idiosyncratic risk in the absence of agency problem. A simple real options model predicts that the negative relation between corporate investment and idiosyncratic risk is a U-shaped function of the level of idiosyncratic risk: investment responds the most when idiosyncratic risk is at the intermediate level. And the negative relation is stronger when firms possess more growth options. Our results are robust when we control for the effect of managerial risk aversion, supporting the view that firms’ optimal response to uncertainty is an important driving force behind the negative investment–idiosyncratic risk relation.     

Commercial bank net interest margins,default risk,interest-rate risk,and off-balance sheet banking

This paper tests the hypothesis that banks with more risky loans and higher interest-rate risk exposure would select loan and deposit rates to achieve higher net interest margins. Call Report data for different size classes of banks for 1989–1993 show that the net interest margins of commercial banks reflect both default and interest-rate risk premia. The net interest margins of money-center banks are affected by default risk, but not by interest rate risk, which is consistent with their greater concentration in short-term assets and off-balance sheet (OBS) hedging instruments. By contrast, (super-) regional banking firms are sensitive to interest-rate risk but not to default risk. The data show that OBS activities promote a more diversified, margins-generating asset base than deposit- or equity-financing, and that cross-sectional differences in interest-rate risk and liquidity risk are related to differences in OBS exposure.     

Accounting-based downside risk,cost of capital,and the macroeconomy

We hypothesize that earnings downside risk, capturing the expectation for future downward operating performance, contains distinct information about firm risk and varies with cost of capital in the cross section of firms. Consistent with the validity of the earnings downside risk measure, we find that, relative to low earnings downside risk firms, high earnings downside risk firms experience more negative operating performance over the subsequent period, are more sensitive to downward macroeconomic states, and are more strongly linked to earnings attributes and other risk-related measures from prior research. In line with our prediction, we also find that earnings downside risk explains variation in firms’ cost of capital, and that this link between earnings downside risk and cost of capital is incremental to several earnings attributes, accounting and risk factor betas, return downside risk, default risk, earnings volatility, and firm fundamentals. Overall, this study contributes to accounting research by demonstrating the key valuation and risk assessment roles of earnings downside risk derived from firms’ financial statements, also shedding new light on the link between accounting and the macroeconomy.     

Liquidity,default, taxes,and yields on municipal bonds

We examine the effects of liquidity, default and personal taxes on the relative yields of Treasuries and municipals using a generalized model with liquidity risk. The municipal yield model includes liquidity as a state factor. Using a unique transaction dataset, we estimate the liquidity risk of municipals and its effect on bond yields. Empirical evidence shows that municipal bond yields are strongly affected by all three factors. The effects of default and liquidity risk on municipal yields increase with maturity and credit risk. Liquidity premium accounts for about 9–13% of municipal yields for AAA bonds, 9–15% for AA/A bonds and 8–19% for BBB bonds. A substantial portion of the maturity spread between long- and short-maturity municipal bonds is attributed to the liquidity premium. Ignoring the liquidity risk effect thus results in a severe underestimation of municipal bond yields. Conditional on the effects of default and liquidity risk, we obtain implicit tax rates very close to the statutory tax rates of high-income individuals and institutional investors. Furthermore, these implicit income tax rates are quite stable across bonds of different maturities. Results show that including liquidity risk in the municipal bond pricing model helps explain the muni puzzle.     

Moral Hazard,Dividends, and Risk in Banks

In non‐financial firms, higher risk taking results in lower dividend payout ratios. In banking, public guarantees may result in a positive relationship between dividend payout ratios and risk taking. I investigate the interplay between dividend payout ratios and bank risk‐taking allowing for the effect of charter values and capital adequacy regulation. I find a positive relationship between bank risk‐taking and dividend payout ratios. Proximity to the required capital ratio and a high charter value reduce the impact of bank risk‐taking on the dividend payout ratio. My results are robust to different proxies for the dividend payout ratio and bank risk‐taking.     

Household portfolio allocation,uncertainty, and risk

Analysing the Panel Study of Income Dynamics and the Health and Retirement Study, we investigate the extent to which US households reduce their financial risk exposure when confronted with background risk. Our novel modelling approach – termed a deflated ordered fractional model – quantifies how the overall composition of a household portfolio with three asset classes adjusts with background risk, and is unique in recovering for any given risky asset class the shares that are reallocated to each safer asset category. Background risk exerts a significant impact on household portfolios, inducing a ‘flight from risk’ from riskier to safer assets.     

Executive stock options,differential risk-taking incentives,and firm value

The sensitivity of stock options' payoff to return volatility, or vega, provides risk-averse CEOs with an incentive to increase their firms' risk more by increasing systematic rather than idiosyncratic risk. This effect manifests because any increase in the firm's systematic risk can be hedged by a CEO who can trade the market portfolio. Consistent with this prediction, we find that vega gives CEOs incentives to increase their firms' total risk by increasing systematic risk but not idiosyncratic risk. Collectively, our results suggest that stock options might not always encourage managers to pursue projects that are primarily characterized by idiosyncratic risk when projects with systematic risk are available as an alternative.     

Occupation,driving experience,and risk and accident perception

The contemporary understanding of public sector risk management entails a broadening of the traditional bureaucratic approach to risk beyond the boundaries of purely financial risks. However, evidence suggests that in reality public sector risk management does not always match the rhetoric. This paper focuses on the apparent inadequacy of any risk framework in the current Prudential Borrowing Framework (PBF) guidance in relation to that which was developed under Public Private Partnerships and Private Finance Initiative (PFI). Our analysis shows that the PBF and its associated indicators for local authorities adopt a narrow financial approach and fail to account for the full range of potential risks associated with capital projects. The PBF does not provide a framework for local authorities to consider long‐term risk and fails to encourage understanding of the generic nature of risk. The introduction of the PBF appears to represent a retrograde step from PPP/PFI as regards risk and risk management.     

Confidence,knowledge, and compliance with emergency evacuation

This article considers how risks are responded to through behavioral adaptations and avoidance strategies. We observe that such behavior can become totemistic and have a limited relationship to the risk it ostensibly answers to. Drawing upon examples such as recycling and original data from a study on drink‐spiking avoidance, the article sets out a new concept for discussing and understanding such risk‐related behavior: the ‘risk ritual’. We elaborate upon this concept in the article, identifying a number of tendencies in risk rituals and drawing upon anthropological and sociological work on the nature and uses of ritual. We compare the ‘risk ritual’ to religious and community rituals, exploring the connections between the former and the rain dance, religious ablutions, abstinence from eating meat on a Friday, and rite of passage ceremonies. Influenced by the cultural approach to risk, we argue that risk rituals, like rituals more generally, are shaped by social conditions, currents, and processes, such as the emphasis on personal responsibility for risk management and the desire to mark out the ‘sacred’ and the ‘profane’. The article concludes that ritualistic risk behavior is better viewed as functional rather than irrational.     

Investment,Idiosyncratic Risk,and Ownership

High‐powered incentives may induce higher managerial effort, but they also expose managers to idiosyncratic risk. If managers are risk averse, they might underinvest when firm‐specific uncertainty increases, leading to suboptimal investment decisions from the perspective of well‐diversified shareholders. We empirically document that, when idiosyncratic risk rises, firm investment falls, and more so when managers own a larger fraction of the firm. This negative effect of managerial risk aversion on investment is mitigated if executives are compensated with options rather than with shares or if institutional investors form a large part of the shareholder base.     

Ownership Structure,Deregulation, and Bank Risk Taking

This paper investigates the relationship between bank ownership structure and risk taking. It is hypothesized that stockholder controlled banks have incentives to take higher risk than managerially controlled banks and that these differences in risk become more pronounced in periods of deregulation. In support of this hypothesis, we show that stockholder controlled banks exhibit significantly higher risk taking behavior than managerially controlled banks during the 1979–1982 period of relative deregulation.     

Entrepreneurial activity, risk, and the business cycle

This paper analyzes a model in which the risk associated with entrepreneurial activity implies that the amount of such activity is procyclical and results in amplification and intertemporal propagation of productivity shocks. In the model risk averse agents choose between a riskless project and a risky project with higher expected output (‘the entrepreneurial activity’). Agents who become entrepreneurs need to bear part of the project-specific risk for incentive reasons. More agents become entrepreneurs when productivity is high, because agents are more willing to bear risk and need to bear less risk for incentive reasons. Furthermore, cross-sectional heterogeneity can be countercyclical.     

Insider Ownership,Risk, and Leverage in REITs

We investigate the relative importance of managerial entrenchment and incentive alignment as indicated by REIT risk-taking. The two theories make contradictory predictions about the sign of the relation between insider ownership and risk. We test for the possibility of diminishing entrenchment returns to insider ownership. Empirical results for equity and asset betas soundly reject linear models in favor of nonmonotonic relations with reversals at insider ownership of 36%. Up to that point, increasingly entrenched insiders mitigate their own risk aversion. Above 36%, incentive alignment emerges as managers become more substantial owners. Leverage declines at an accelerating rate above 20% insider ownership. Together these results suggest a shift in the composition of risk, from leverage risk to asset risk, reflecting comparative advantage and a crossover in the relative monitoring costs of debt and equity. Problematically for linear models, the coefficient of insider ownership is not significant for most risk measures, producing the misleading appearance of no relation between insider ownership and risk. Institutional ownership is significantly negatively related to leverage. Thus incentives are aligned between insiders and institutional owners at insider ownership above 20%.     

Risk,uncertainty, and asset prices

We identify the relative importance of changes in the conditional variance of fundamentals (which we call “uncertainty”) and changes in risk aversion in the determination of the term structure, equity prices, and risk premiums. Theoretically, we introduce persistent time-varying uncertainty about the fundamentals in an external habit model. The model matches the dynamics of dividend and consumption growth, including their volatility dynamics and many salient asset market phenomena. While the variation in price–dividend ratios and the equity risk premium is primarily driven by risk aversion, uncertainty plays a large role in the term structure and is the driver of countercyclical volatility of asset returns.