A Generalized Extreme Value Approach to Financial Risk Measurement

This paper develops an unconditional and conditional extreme value approach to calculating value at risk (VaR), and shows that the maximum likely loss of financial institutions can be more accurately estimated using the statistical theory of extremes. The new approach is based on the distribution of extreme returns instead of the distribution of all returns and provides good predictions of catastrophic market risks. Both the in-sample and out-of-sample performance results indicate that the Box–Cox generalized extreme value distribution introduced in the paper performs surprisingly well in capturing both the rate of occurrence and the extent of extreme events in financial markets. The new approach yields more precise VaR estimates than the normal and skewed t distributions.     

The market value impact of operational loss events for US banks and insurers

This paper conducts an event study analysis of the impact of operational loss events on the market values of banks and insurance companies, using the OpVar database. We focus on financial institutions because of the increased market and regulatory scrutiny of operational losses in these industries. The analysis covers all publicly reported banking and insurance operational risk events affecting publicly traded US institutions from 1978 to 2003 that caused operational losses of at least $10 million – a total of 403 bank events and 89 insurance company events. The results reveal a strong, statistically significant negative stock price reaction to announcements of operational loss events. On average, the market value response is larger for insurers than for banks. Moreover, the market value loss significantly exceeds the amount of the operational loss reported, implying that such losses convey adverse implications about future cash flows. Losses are proportionately larger for institutions with higher Tobin’s Q ratios, implying that operational loss events are more costly in market value terms for firms with strong growth prospects.     

El efecto de la volatilidad del peso mexicano en los rendimientos y riesgo de la Bolsa Mexicana de Valores

The effect of heavy tails due to rare events and different levels of asymmetry associated with high volatility clustering in the emerging financial markets requires sophisticated models for statistical modelling of such stylized facts. This article applies extreme value theory (EVT) to quantify tail risk on the daily returns of Mexican stock market under aggregation of foreign exchange rate risk from January 1971 to December 2010. This study focuses on the maximum-block method and generalized extreme value distribution (GEVD) to model the asymptotic behavior of extreme returns in US dollars. The empirical results show that EVT-Based VaR measured at high confidence levels performs better than simulation historical and delta-normal VaR models on capturing fat-tails in the returns of highly volatile stock markets. Additionally, international investors holding long positions in Mexican stock market are more prone to experience larger potential losses than investors with short positions during local currency depreciation and financial crisis periods.     

Implied Equity Duration: A New Measure of Equity Risk

Duration is an important and well-established risk characteristic for fixed income securities. We use recent developments in financial statement analysis research to construct a measure of duration for equity securities. We find that the standard empirical predictions and results for fixed income securities extend to equity securities. We show that stock price volatility and stock beta are both positively correlated with equity duration. Moreover, estimates of common shocks to expected equity returns extracted using our measure of equity duration capture a strong common factor in stock returns. Additional analysis shows that the book-to-market ratio provides a crude measure of equity duration and that our more refined measure of equity duration subsumes the Fama and French (1993) book-to-market factor in stock returns. Our research shows how structured financial statement analysis can be used to construct superior measures of equity security risk.     

Does individualistic culture impact operational risk?

Employing a sample of 2,957 operational‐risk events across 31 countries from 1990 to 2011, we find that financial institutions located in countries with higher individualism tend to have higher operational risk. This positive relation is achieved through the risk‐taking channel and the earnings‐management channel. In addition, the magnitude of operational losses is higher in more individualistic countries. The results suggest that individualism serves as an important informal institutional determinant of operational risk in an international context. Endogeneity tests and various robustness checks confirm our findings.     

A framework for assessing the systemic risk of major financial institutions

In this paper we propose a framework for measuring and stress testing the systemic risk of a group of major financial institutions. The systemic risk is measured by the price of insurance against financial distress, which is based on ex ante measures of default probabilities of individual banks and forecasted asset return correlations. Importantly, using realized correlations estimated from high-frequency equity return data can significantly improve the accuracy of forecasted correlations. Our stress testing methodology, using an integrated micro–macro model, takes into account dynamic linkages between the health of major US banks and macro-financial conditions. Our results suggest that the theoretical insurance premium that would be charged to protect against losses that equal or exceed 15% of total liabilities of 12 major US financial firms stood at $110 billion in March 2008 and had a projected upper bound of $250 billion in July 2008.     

Risk Measurement Performance of Alternative Distribution Functions

This paper evaluates the performance of three extreme value distributions, i.e., generalized Pareto distribution (GPD), generalized extreme value distribution (GEV), and Box‐Cox‐GEV, and four skewed fat‐tailed distributions, i.e., skewed generalized error distribution (SGED), skewed generalized t (SGT), exponential generalized beta of the second kind (EGB2), and inverse hyperbolic sign (IHS) in estimating conditional and unconditional value at risk (VaR) thresholds. The results provide strong evidence that the SGT, EGB2, and IHS distributions perform as well as the more specialized extreme value distributions in modeling the tail behavior of portfolio returns. All three distributions produce similar VaR thresholds and perform better than the SGED and the normal distribution in approximating the extreme tails of the return distribution. The conditional coverage and the out‐of‐sample performance tests show that the actual VaR thresholds are time varying to a degree not captured by unconditional VaR measures. In light of the fact that VaR type measures are employed in many different types of financial and insurance applications including the determination of capital requirements, capital reserves, the setting of insurance deductibles, the setting of reinsurance cedance levels, as well as the estimation of expected claims and expected losses, these results are important to financial managers, actuaries, and insurance practitioners.     

Board composition and operational risk events of financial institutions

We investigate the relation between board composition and operational risk events of financial institutions in the period from 1996 to 2010. Drawing from corporate governance literature, we consider the impact of board characteristics on the likelihood of operational risk events. Overall, our findings suggest that board size is negatively and non-linearly associated with the possibility of operational risk events. For the event types of “Clients, Products, and Business Practices,” and “Internal Fraud and External Fraud,” firms with a higher proportion of independent directors are less likely to suffer from fraud or failure to comply with professional obligations to clients. Our results on age and tenure heterogeneity also indicate that having a more diverse board can have an adverse impact on the board monitoring function. These results can shed new light on board demographics and operational risk management in financial institutions.     

Interest Rate Risk Rewards in Stock Returns of Financial Corporations: Evidence from Germany

The interest rate sensitivity of stock returns of financial and non-financial corporations is a well-known phenomenon. However, only little is known about the part of total stock returns that is attributable to the compensation an investor receives for being exposed to interest rate risk when investing in equity securities. We pursue here a benchmark portfolio approach, constructing benchmark portfolios having the same interest rate risk exposure as a particular stock. By studying the time series of returns of these asset-specific benchmarks, we find: i) Regardless of the industry considered, the interest rate risk benchmarks of German corporations have mostly earned a significantly positive reward. ii) Returns of interest rate risk benchmarks of financial institutions exceeded significantly those of non-financial corporations. iii) An investor willing to bear nothing but the average interest rate risk of German financial institutions would have earned a mean return of about or even exceeding 70% of the corresponding total stock returns. iv) Returns of the interest rate risk benchmarks of the German insurance sector were significantly higher than those of German banks, which seems to contradict conventional market wisdom that insurances hedge interest rate risks.     

Operational risk and reputation in the financial industry

By examining stock market reactions to the announcement of operational losses by financial companies, this paper attempts to disentangle operational losses from reputational damage. Our analysis deals with 154 events coming from the FIRST database of OpVantage. Events occurred between 1990 and 2004 in companies belonging to the financial sector and that are listed on the major European and US Stock Exchanges. Results show significant, negative abnormal returns at the announcement date of the loss, along with an increase in the volumes of trade. In cases of internal fraud, the loss in market value is greater that the operational loss amount announced, which is interpreted as a sign of reputational damage. Negative impact is proportionally greater when the loss amount represents a larger share in the company’s net profit.     

Buyout Transactions in the German‐speaking Region: Determinants of Abnormal Performance and Unlevered Returns

This is one of the first comprehensive studies of drivers of private equity performance in the German‐speaking region known as the DACH, made up of Germany, Austria, and Switzerland. It contributes three things to private equity research: First, it explains how operational value drivers affect operational performance (operational alpha) and unlevered rates of return. Second, it whether the same relationships hold across different kinds of private equity business models (those with either organic or inorganic growth strategies; or whether PE investments are small‐cap or mid‐to‐large‐cap). Third, it distinguished between the periods before and after the global financial crisis of 2008. The authors found that (1) annualised benchmark‐adjusted EBITDA margin growth (i.e. improvement in EBITDA margin) is the most significant determinant in abnormal operational performance and unlevered returns, regardless of the business model; (2) private equity firms executing a buy‐and‐build strategy generate lower unlevered returns than those executing an organic growth strategy when the benchmark company is clearly outperformed, most likely because of limited PE managerial resources; (3) mid‐to‐large‐cap private equity firms generate higher unlevered returns and operational alphas than small‐cap private equity firms when the benchmark company is clearly outperformed, because, we believe, larger companies have a higher fixed cost leverage than smaller ones; and we have found that (4) buyout transactions exited during or after the financial crisis yield higher operational alphas but lower unlevered returns compared to buyout transactions exited before the crisis, when the portfolio company underperforms its benchmark company.     

Real-Estate Risk Effects on Financial Institutions’ Stock Return Distribution: a Bivariate GARCH Analysis

This paper examines two relationships using the bivariate generalized autoregressive conditionally heteroskedastic (GARCH) methodology. First, the relationship between equity returns of commercial banks, savings and loans (S&Ls) and life insurance companies (LICs), and those of the real-estate investment trusts (REITs), a proxy for the real-estate sector performance. Second, the relationship between conditional volatilities of the stock returns of these financial intermediaries (FIs) and that of REITs. The former relationship allows the spillover of returns between the real-estate and the financial intermediation sector to be analyzed. The latter allows an investigation of the prevalence, direction and strength of inter-sectoral risk transmission to be carried out. Several interesting results are obtained. First, the equity returns of the FIs considered follow a GARCH process and should be modeled accordingly. Second, as found in the literature, returns on REITs should be modeled using the Fama-French multiple factor model. However, this model has to be extended to incorporate a GARCH error structure. Third, all FI returns considered are highly sensitive to REIT returns and the effects are both statistically and economically significant. This is an indication that shocks to REITs returns spillover to the former markets. Fourth, spillover of increased volatility in the real-estate sector to S&Ls and LICs is significant but not to commercial banks.     

The Interest Rate Risk Exposure of Financial Intermediaries: A Review of the Theory and Empirical Evidence

The paper surveys current and previous research on financial institutions' interest rate risk exposure. The implications of such exposure are discussed and motivating insights are emphasized. Various theoretical frameworks and models are presented. For each one an overview of the studies and any relationship to each other is provided. In a cross‐industry analysis, other idiosyncratic risk factors are considered and their importance is delineated. A number of empirical relations are established. More specifically, there is an inverse relationship between interest rate changes and common stock returns of financial institutions. The intermediaries' apparent yield sensitivity is mainly attributed to the duration gap inherent in their balance sheet structure. Furthermore, the aforesaid equity sensitivity due to other possible dynamics such as dividend yield, unanticipated inflation and regulatory lags is also considered. Changes in economic regimes have altered volatility in market yields with a subsequent effect, positive or negative, on financial intermediaries' equity returns. The issue of the risk‐return compensation is further analyzed, and findings suggest that the interest rate risk is priced by capital markets. Finally, a few other issues are identified as avenues for future research.     

Risk‐Adjusted Measures of Value Creation in Financial Institutions

Abstract Many financial institutions assess portfolio decisions using RAROC, the ratio of expected return to risk (or ‘economic’) capital. We use asset pricing theory to determine the appropriate hurdle rate, finding that this varies with the skewness of asset returns. We quantify this discrepancy under a range of assumptions showing that the RAROC hurdle rate differs substantially, being higher by a factor of five or more for equity which has a right skew compared to debt which has a pronounced left skew, and also between different qualities of debt exposure. We discuss implications for both financial institution risk management and supervision.     

Risk and Return: A Revisit Using Expected Returns

This paper uses direct estimates of expected returns to examine the link between standard measures of financial risk and investor return requirements. The results show that systematic risk commands a significant positive risk premium, much larger than found using historical returns as proxies for expectations. Furthermore, there are nonlinearities in the relationship between risk and return. Finally, we show that expected returns and risk premiums in the equity markets change over time and that these changes are related to changes in interest rates on U.S. government obligations.     

Announcement Effects and Asymmetric Volatility in Industry Stock Returns: Evidence from Taiwan

This study employs financial econometric models to examine the asymmetric volatility of equity returns in response to monetary policy announcements in the Taiwanese stock market. The meetings of the board of directors at the Central Bank of the Republic of China (Taiwan) are considered for testing the announcement effects. The asymmetric generalized autoregressive conditional heteroskedasticity (GARCH) model and the smooth transition autoregression with GARCH model are used to measure equity returns' asymmetric volatility. We conclude that the asymmetric volatility of countercyclical equity returns can be identified. Our findings support the leverage effect of stock price changes for most industry equity returns in Taiwan.     

IS THE BOOK‐TO‐MARKET RATIO A MEASURE OF RISK?

We develop a leverage‐based alternative to traditional asset pricing models to investigate whether the book‐to‐market ratio acts as a proxy for risk. We argue that the book‐to‐market ratio should act as a proxy because of the expected relations between (1) financial risk and measures of capital structure based on the market value of equity and (2) asset risk and measures of capital structure based on the book value of equity. We find no relation between average stock returns and the book‐to‐market ratio in all‐equity firms after controlling for firm size, and an inverse relation between average stock returns and the book‐to‐market ratio in firms with a negative book value of equity.     

Credit Contagion from Counterparty Risk

Standard credit risk models cannot explain the observed clustering of default, sometimes described as "credit contagion." This paper provides the first empirical analysis of credit contagion via direct counterparty effects. We find that bankruptcy announcements cause negative abnormal equity returns and increases in CDS spreads for creditors. In addition, creditors with large exposures are more likely to suffer from financial distress later. This suggests that counterparty risk is a potential additional channel of credit contagion. Indeed, the fear of counterparty defaults among financial institutions explains the sudden worsening of the credit crisis after the Lehman bankruptcy in September 2008.     

The subprime asset-backed securities market and the equity prices of large complex financial institutions

In this paper, we investigate the relationship between the subprime asset-backed collateralized debt obligations (CDO) market and Large Complex Financial Institutions (LCFIs). We attempt to account for the dynamics between the ABX index returns and the banks’ equity returns through conditioning our analysis on the historical correlation between the variables. Three key results emerge from the analysis. First, we find a positive correlation between movements of the ABX index and the equity returns for all the LCFIs. Second, the volatility of ABX index returns tend to be transmitted to the volatilities of the equity returns of the financial institutions. Third, ABX prices changes lead equity returns changes of the European-based LCFIs. For the US LCFIs a two-way linkage emerges.     

A Market-based Risk Classification of Financial Institutions

In this article we derive, estimate, and analyze a multifactor model of the monthly holding period returns on the stocks of exchange-traded financial institutions. In addition to bond and equity returns, the factors include default, liquidity, and term structure risk premiums plus variables that measure changes in deposit demand. To ensure that our sample has a large number of firms, we use data from January 1981 through December 1988. The equity return explains a large share of time-series variation in financial institutions' returns. The additional factors implied by theory have little incremental explanatory power. The two-factor model regression coefficients have considerable cross-sectional variation. This permits us to group intermediaries into portfolios with similar risk exposures. These portfolios bear no relation to the SIC codes that group intermediaries by their charters and lines of business.