Default Risk and Equity Returns: Evidence from the Taiwan Equities Market

Studies of risk and return characteristics of different portfolios have recently gained enormous attention. Differing from past studies, this paper uses a compound option model to build the proxy of default risk and evaluate the relationship between default risk effect and equity returns. The primary goal of this paper is to evaluate the relationship among default risk, size, book-to-market, and equity returns, using data drawn from the Taiwan equities market, and to also examine whether size and book-to-market are proxies for default risk. The results show that the effects of size and book-to-market exist in different default portfolios when default risks are controlled. If size or book-to-market is controlled, there are no default effects. In the regression analysis, when default risk is included in Fama and French’s Three Factor Model, it shows that size, book-to-market and default risk have significant influence on equity returns and default risk is a systematic risk. Default risk is also more powerful in explaining returns when the compound option model is adopted for estimating default risks.     

The Risk and Predictability of International Equity Returns

We investigate predictability in national equity market returns,and its relation to global economic risks. We show how to consistentlyestimate the fraction of the predictable variation that is capturedby an asset pricing model for the expected returns. We use amodel in which conditional betas of the national equity marketsdepend on local information variables, while global risk premiadepend on global variables. We examine single- and multiple-betamodels, using monthly data for 1970 to 1989. The models capturemuch of the predictability for many countries. Most of thisis related to time variation in the global risk premia.     

Equity Misvaluation and Default Options

We study whether default options are mispriced in equity values by employing a structural equity valuation model that explicitly takes into account the value of the option to default (or abandon the firm) and uses firm‐specific inputs. We implement our model on the entire cross section of stocks and identify both over‐ and underpriced equities. An investment strategy that buys undervalued stocks and shorts overvalued stocks generates an annual four‐factor alpha of about 11% for U.S. stocks. The model's performance is stronger for stocks with a higher value of the default option, such as distressed or highly volatile stocks.     

The Cross‐Section of Credit Risk Premia and Equity Returns

We explore the link between a firm's stock returns and credit risk using a simple insight from structural models following Merton ( 1974 ): risk premia on equity and credit instruments are related because all claims on assets must earn the same compensation per unit of risk. Consistent with theory, we find that firms' stock returns increase with credit risk premia estimated from CDS spreads. Credit risk premia contain information not captured by physical or risk‐neutral default probabilities alone. This sheds new light on the “distress puzzle”—the lack of a positive relation between equity returns and default probabilities—reported in previous studies.     

Book–to–Market Equity, Distress Risk, and Stock Returns

This paper examines the relationship between book–to–market equity, distress risk, and stock returns. Among firms with the highest distress risk as proxied by Ohlson's (1980) O–score, the difference in returns between high and low book–to–market securities is more than twice as large as that in other firms. This large return differential cannot be explained by the three–factor model or by differences in economic fundamentals. Consistent with mispricing arguments, firms with high distress risk exhibit the largest return reversals around earnings announcements, and the book–to–market effect is largest in small firms with low analyst coverage.     

Connecting Optimal Capital Investment and Equity Returns

Economic theory predicts a contemporaneous correlation between equity returns and investment growth that is only weakly present in the data. By modifying the firm's production function to include a lag between investment decisions and expenditures, and after correcting for the temporal aggregation of investment, I find the predicted correlation to be present in the data. I estimate the model for 31 industries and find that investment returns are highly correlated with the industry portfolio equity returns. Further, the portion of investment returns orthogonal to equity returns is associated positively with changes in profitability and negatively with lagged differences between equity and investment returns.     

Institutional Ownership and Distribution of Equity Returns

Although there is considerable evidence of the importance of skewness and kurtosis in equity returns, much less attention has been paid to their determinants. Recent theoretical and empirical advances in the literature suggest that the information structure and other market characteristics affect the nature of return distributions. One such characteristic is the degree of institutional ownership in the stock. This study hypothesizes and documents a significant inverse relationship between the degree of institutional ownership and the standard deviation, skewness, and kurtosis of equity returns.     

Default Risk in Corporate Yield Spreads

An important research question examined in the credit risk literature focuses on the proportion of corporate yield spreads attributed to default risk. This topic is reexamined in light of the different issues associated with the computation of default probabilities obtained from historical default data. We find that the estimated default risk proportion in corporate yield spreads is sensitive to the ex ante estimated term structure of default probabilities used as inputs. This proportion can become a large fraction of the spread when sensitivity analyses are made with respect to the period over which the probabilities are estimated and the recovery rates.     

Equity Returns and Business Cycles in Small Open Economies

This is the first paper in the dynamic stochastic general equilibrium literature to match key business cycle moments and long‐run equity returns in a small open economy with production. These results are achieved by introducing four modifications to a standard real business cycle model: (i) borrowing and lending costs are imposed to increase the volatility of the marginal rate of substitution over time, (ii) capital adjustment costs are assumed to make equity returns more volatile, (iii) GHH preferences are employed to smooth consumption, and (iv) a working capital constraint to generate countercyclical trade balances. Our results are based on data from Argentina, Brazil, and Chile.     

Ratings,Commercial Paper,and Equity Returns

We present the first evidence that initial ratings of commercial paper influence common stock returns. Highly-rated industrial issues of commercial paper, unaccompanied by bank letters of credit, are associated with significantly positive abnormal returns; lower-rated issues are not. The stock price effects of changes in commercial paper ratings also demonstrate the relevance of ratings to the financing of firms. Rating downgrades, especially those that imply an exit from the commercial paper market, produce significantly negative abnormal returns; upgrades have no effects. Initial commercial paper ratings and subsequent reratings appear to help investors sort firms by their future prospects.     

Equity Risk Premium

Abstract

The equity risk premium (ERP) is an essential building block of the market value of risk. In theory, the collective action of all investors results in an equilibrium expectation for the return on the market portfolio excess of the risk-free return, the ERP. The ability of the valuation actuary to choose a sensible value for the ERP, whether as a required input to capital asset pricing model valuation, or any of its descendants, is as important as choosing risk-free rates and risk relatives (betas) to the ERP for the asset at hand.

The historical realized ERP for the stock market appears to be at odds with pricing theory parameters for risk aversion. Since 1985, there has been a constant stream of research, each of which reviews theories of estimating market returns, examines historical data periods, or both. Those ERP value estimates vary widely from about ?1% to about 9%, based on a geometric or arithmetic averaging, short or long horizons, short- or long-run expectations, unconditional or conditional distributions, domestic or international data, data periods, and real or nominal returns.

This paper examines the principal strains of the recent research on the ERP and catalogues the empirical values of the ERP implied by that research. In addition, the paper supplies several time series analyses of the standard Ibbotson Associates 1926–2002 ERP data using short Treasuries for the risk-free rate. Recommendations for ERP values to use in common actuarial valuation problems also are offered.     

The Equity Share in New Issues and Aggregate Stock Returns

The share of equity issues in total new equity and debt issues is a strong predictor of U.S. stock market returns between 1928 and 1997. In particular, firms issue relatively more equity than debt just before periods of low market returns. The equity share in new issues has stable predictive power in both halves of the sample period and after controlling for other known predictors. We do not find support for efficient market explanations of the results. Instead, the fact that the equity share sometimes predicts significantly negative market returns suggests inefficiency and that firms time the market component of their returns when issuing securities.     

Returns from Investing in Equity Mutual Funds 1971 to 1991

Several recent studies suggest that equity mutual fund managers achieve superior returns and that considerable persistence in performance exists. This study utilizes a unique data set including returns from all equity mutual funds existing each year. These data enable us more precisely to examine performance and the extent of survivorship bias. In the aggregate, funds have underperformed benchmark portfolios both after management expenses and even gross of expenses. Survivorship bias appears to be more important than other studies have estimated. Moreover, while considerable performance persistence existed during the 1970s, there was no consistency in fund returns during the 1980s.     

Growing Pains: International Instability and Equity Market Returns

We use the ratio of growth in global military expenditures to gross domestic product (GDP) to capture ex ante expectations of political instability and explore the relation between this measure and returns. In a standard global asset pricing framework with 44 countries, this measure helps to explain cross‐country return differences. Furthermore, emerging countries have greater exposure to international political instability risk than developed countries. This partially explains the higher returns observed in emerging countries.     

The Asymmetric Response of Equity REIT Returns to Inflation

This paper posits that the failure of past studies to document a positive relationship between REIT (Real Estate Investment Trust) returns and inflation is an artifact of the empirical framework that has predominated in these studies. Applying a pooled estimation methodology to an expansive data set containing 195 publicly traded equity REITs for the period 1981–2002, the study documents a strong asymmetry in the response of equity REIT returns to inflation. Specifically, when expected and unexpected inflation are separated into positive and negative changes, results indicate that equity REIT returns rise in response to both increases and decreases in inflation. The evidence, which is partly contingent on the prevailing monetary policy environment, carries important policy implications for portfolio management and provides insights into the observed anomalous relationship between REITs and inflation.     

Multivariate Models of Equity Returns for Investment Guarantees Valuation

Abstract

In this paper we investigate the valuation of investment guarantees in a multivariate (discrete-time) framework. We present how to build multivariate models in general, and we survey the most important multivariate GARCH models. A direct multivariate application of regime-switching models is also discussed, as is the estimation of these models using maximum likelihood and their comparison in a multivariate setting. The computation of the CTE provision is further presented. We have estimated the models with a multivariate dataset (Canada, United States, United Kingdom, and Japan), and we compared the quality of their fit using multiple criteria and tests. We observe that multivariate GARCH models provide a better overall fit than regime-switching models. However, regime-switching models appropriately represent the fat tails of the returns distribution, which is where most GARCH models fail. This leads to significant differences in the value of the CTE provisions, and, in general, provisions computed with regime-switching models are higher. Thus, the results from this multivariate analysis are in line with what was obtained in the literature of univariate models.     

Circuit Breakers and the Tail Index of Equity Returns

Using the tail index of returns on U.S. equities as a summarymeasure of extreme behavior, we examine changes in the equitymarkets surrounding the development of program trading for portfolioinsurance, the crash of 1987, and the subsequent introductionof circuit breakers and other changes in market architecture.Recently-developed tests for the null of constancy of the tailindex, versus the alternative of a change at an unknown date,permit inference on changes in extreme behavior over a longtime period while allowing for second-moment dependence in thereturn data. We find strong evidence of a decrease in the tailindex (increase in the probability of extreme events) aroundthe beginning of large-scale program trading, and weaker, butstill substantial, evidence of further significant change inthe tail index following the introduction of circuit breakers.Point estimates of the tail index suggest that the tail indexmay have roughly regained pre-program trading levels. More generally,the results tend to suggest that long samples of U.S. equityreturns should not be treated as samples from a single distributionfunction, particularly in examining extremes.     

Idiosyncratic Risk and REIT Returns

The volatility of a stock returns can be decomposed into market and firm-specific volatility, with the former commonly known as systematic risk and the later as idiosyncratic risk. This study examines the relevance of idiosyncratic risk in explaining the monthly cross-sectional returns of REIT stocks. Contrary to the CAPM theory, a significant positive relationship is found between idiosyncratic volatility and the cross-sectional returns. This suggests that firm-specific risk matters in REIT pricing. The regression results further show that once idiosyncratic risk is controlled for in the asset-pricing model, the size and book-to-market equity ratio factors ceased to be significant. The explanatory power of the momentum effect remains robust in the presence of idiosyncratic risk.

Municipal Bond Liquidity and Default Risk

This paper examines the pricing of municipal bonds. I use three distinct, complementary approaches to decompose municipal bond spreads into default and liquidity components, and find that default risk accounts for 74% to 84% of the average spread after adjusting for tax‐exempt status. The first approach estimates the liquidity component using transaction data, the second measures the default component with credit default swap data, and the third is a quasi‐natural experiment that estimates changes in default risk around pre‐refunding events. The price of default risk is high given the rare incidence of municipal default and implies a high risk premium.