Volatility risk premium implications of GARCH option pricing models

In this paper we explore important implications of capturing volatility risk premium (VRP) within a parametric GARCH setting. We study the transmission mechanism of shocks from returns to risk-neutral volatility by providing an examination of the news-impact curves and impulse–response functions of risk-neutral volatility, in order to better understand how option prices respond to return innovations. We report a value of − 3% for the magnitude of the average VRP and we recover the empirical densities under physical and risk-neutral measures. Allowing for VRP is crucial for adding flexibility to the shape of the two distributions. In our estimation procedure, we adopt a MLE approach that incorporates both physical return and risk-neutral VIX dynamics. By introducing volatility - instead of variance - innovations in the joint likelihood function and by allowing for contemporaneous correlation between innovations in returns and the VIX we show that we may critically reduce the bias and improve the efficiency of the joint maximum likelihood estimator, especially for the parameters of the volatility process. Modeling returns and the VIX as a bi-variate normal permits identification of a contemporaneous correlation coefficient of approximately − 30% between returns and risk-neutral volatility.     

Option-implied preferences adjustments, density forecasts, and the equity risk premium

The main objective of this paper is to analyse the value of information contained in prices of options on the IBEX 35 index at the Spanish Stock Exchange Market. The forward looking information is extracted using implied risk-neutral density functions estimated by a mixture of two-lognormals and several alternative risk adjustments. Our results show that, between October 1996 and March 2000, we can reject the hypothesis that the risk-neutral densities provide accurate predictions of the distributions of future realisations of the IBEX 35 index at 4- and 8-week horizons. When forecasting through risk-adjusted densities the performance of this period is statistically improved and we no longer reject that hypothesis. We show that risk adjustments based on a power specification for the stochastic discount factor—which is the approach used so far in the literature that derives the objective density function from option prices- generates an excessive volatility of risk premia. We use alternative risk adjustments and find that the forecasting performance of the distribution improves slightly in some cases when risk aversion is allowed to be time-varying. Finally, from October 1996 to December 2004, the ex-ante risk premium perceived by investors and that are embedded in option prices is between 12 and 18% higher than the premium required to compensate the same investors for the realised volatility in stock market returns.      

How are gold returns related to stock or bond returns in the U.S. market? Evidence from the past 10-year gold market

Although the gold market over the past decade has been soaring relative to its prior history, there have been few studies on the relationship between the gold market and other major financial markets based on the past decade of data. To re-investigate how the gold market interacts with the stock market and the bond market, we re-visit economic and financial characteristics of gold using the past 10-year data in terms of co-integration, causality, predictive power, and extreme returns. We find that while gold returns are not co-integrated with stock returns and bond returns, gold returns have a unidirectional causality with both of them. Also, we discover that gold returns have some predictive power on subsequent short-term stock returns. Under extreme market scenarios, it turns out that gold returns tend to deteriorate more simultaneously with bond returns than stock returns. This means that gold can better serve as a safe haven for stock in a relative sense during temporary market downturns.     

Modeling the fat tails in Asian stock markets

We test whether stock returns in the Asian markets are characterized by infinite variance or just large variance, which has an important implication for the applicability of many financial models in Asian market data. Employing the extreme value framework, we find that the Asian index return distributions are fat-tailed but have finite variance. However, the tails of the distributions behave similarly to those in the U.S. and the MSCI World index returns, suggesting that any financial model or risk management tool that incorporates the second moment would work equally well for the Asian market data as it does for developed market data. We apply the Value-at-Risk method using Asian and U.S. data and find no significant difference in performance.     

Monetary environments and stock returns revisited: A quantile regression approach

We investigate the impact of monetary conditions on stock market returns at different points on the return distributions. Our results reveal no association between stock returns and monetary environments at the lower quantiles. At the upper quantiles, however, we find that expansive monetary conditions lead to significantly larger stock returns. The relationship between returns and monetary conditions at the upper quantiles is also found to be asymmetric, exhibiting a monotonic increase in responsiveness at successive quantiles.     

Can volume predict Bitcoin returns and volatility? A quantiles-based approach

Prior studies on the price formation in the Bitcoin market consider the role of Bitcoin transactions at the conditional mean of the returns distribution. This study employs in contrast a non-parametric causality-in-quantiles test to analyse the causal relation between trading volume and Bitcoin returns and volatility, over the whole of their respective conditional distributions. The nonparametric characteristics of our test control for misspecification due to nonlinearity and structural breaks, two features of our data that cover 19th December 2011 to 25th April 2016. The causality-in-quantiles test reveals that volume can predict returns – except in Bitcoin bear and bull market regimes. This result highlights the importance of modelling nonlinearity and accounting for the tail behaviour when analysing causal relationships between Bitcoin returns and trading volume. We show, however, that volume cannot help predict the volatility of Bitcoin returns at any point of the conditional distribution.     

Liquidity and asset prices in rational expectations equilibrium with ambiguous information

The quality of information in financial asset markets is often hard to estimate. Reminiscent of the famous Ellsberg paradox, investors may be unable to form a single probability belief about asset returns conditional on information signals and may act on the basis of ambiguous (or multiple) probability beliefs. This paper analyzes information transmission in asset markets when agents?? information is ambiguous. We consider a market with risk-averse informed investors, risk-neutral competitive arbitrageurs, and noisy supply of the risky asset, first studied by Vives (Rev Financ Stud 8:3?C40, 1995a, J Econ Theory 67:178?C204, 1995b) with unambiguous information. Ambiguous information gives rise to the possibility of illiquid market where arbitrageurs choose not to trade in a rational expectations equilibrium. When market is illiquid, small informational or supply shocks have relatively large effects on asset prices.     

A Pure Theory of Job Security and Labour Income Risk

Models of labour market equilibrium where forward-looking decisions maximize both profits and labour income on a risk-neutral basis offer valuable insights into the effects of employment protection legislation. Since risk-neutral behaviour in the labour market presumes perfect insurance, however, job security provisions plays no useful role in such models. This paper studies a stylized model of dynamic labour market interactions where labour reallocation costs are partly financed by uninsured workers' consumption flows. In the resulting second-best equilibrium, provisions that shift labour reallocation costs to risk-neutral employers can increase productive efficiency if their administrative dead-weight costs are not too large, and increase workers' welfare as long as employers' firing costs at least partly finance workers' mobility.     

A simple explanation of the relative performance evaluation puzzle

We study a simple moral hazard model in which two risk-neutral owners establish incentives for their risk-averse managers to exert effort. Because the probability distributions over output realizations depend on a common aggregate shock, optimal contracts make the compensation of each manager contingent on own performance but also on a performance benchmark—the performance of the other firm. If the marginal return of effort depends on the aggregate state, optimal contracts are not monotonically decreasing in the performance benchmark. This provides a simple explanation of the Relative Performance Evaluation (RPE) Puzzle—the documented lack of a negative relationship between CEO compensation and comparative performance measures, such as industry or market performance. Our simple model can also explain one-sided RPE—the documented tendency to insulate a CEO's rewards from bad luck, but not from good luck. We clarify that our results are robust in several dimensions and we discuss other applications of our findings.     

The returns to education and wage penalty from overeducation: New evidence from Vietnam

This study intends to estimate the rate of returns to education in Vietnam, the distributive effects of education on wages, and the wage penalty from the incidence of overeducation in the Vietnamese labor market during 2004–2016. This study employs a pseudo-panel approach to address omitted variables bias and the unconditional quantile regression to identify the heterogeneity of returns to education across the income distribution. Our main finding indicates that the estimated rate of returns to education in Vietnam is approximately 6.5%, showing a downward bias from previous estimates. The returns vary across wage distributions, where a lower rate of return is observed in lower quantiles and a higher rate among those individuals at the higher quantiles. The returns to education have declined since 2008, confirming the oversupply of highly educated workers in the Vietnamese labor market with an estimated wage penalty of 17%. Government assistance measures are needed to reduce the overeducation and the wage penalty issues in the Vietnamese labor market.     

Economic liberalization and urban–rural inequality in India: a quantile regression analysis

We examine India’s urban–rural inequality in welfare in 1993–1994 and 2004, a period which coincides with the country’s economic liberalization reforms and rapid economic growth. Using real monthly per capita household consumption expenditure as our measure of welfare, we estimate quantile regressions to analyze the urban–rural welfare gap across the entire welfare distribution. While the urban–rural welfare gap was fairly convex across the welfare distribution in 1993–1994, it became more concave in 2004, with the gap narrowing for the lowest and highest quintiles and widening for the middle three quintiles. The urban–rural gap in returns to all levels of education widened substantially for the bottom four quintiles but became increasingly negative for the top quintile. Applying the Machado and Mata (J Appl Econom 20:445–465, 2005) decomposition technique to decompose the urban–rural welfare gap at each percentile, we find that for the bottom 40% of the distribution, differences in the distribution of covariates became less important while differences in the distribution of returns to covariates became more important in explaining the gap. The opposite was true for the top 40% of the distribution. Our analysis suggests that while the rural poor appear to be catching up with their urban counterparts in terms of labor market characteristics, ten years of economic reforms have intensified the urban–rural gap in returns to these characteristics. On the other hand, the rural rich lag even further behind the urban rich with respect to their labor market characteristics even though the urban–rural gap in the returns to these characteristics has diminished during the reform period. Future efforts to generate urban–rural equality may require policies that seek to equalize returns to labor market characteristics between the two sectors at the lower half of the distribution and improve rural labor market characteristics at the top half of the distribution.     

The heterogeneous dependence between global crude oil and Chinese commodity futures markets: evidence from quantile regression

This paper explores the dependence between global crude oil and Chinese commodity futures markets across different quantiles of the return distributions. Based on weekly data from 11 June 2004 to 7 July 2017, we address this issue by applying a quantile regression method. This technique provides a more detailed investigation of the dependence. Moreover, considering the structural breaks caused by market turmoil or financial crises, we divide the full period of every commodity sector market into sub-periods based on these break dates to further explore the dependence changes. The empirical results indicate that the dependence between global crude oil and Chinese commodity futures markets is different across quantiles in different commodity sectors. The dependence is significantly positive, except in markets with high expected returns. Additionally, the effects caused by structural breaks are distinctly heterogeneous across quantiles. The effect of the same break on the degree of dependence exhibits an increasing tendency as the quantile level increases, which suggests that markets with high expected returns are more susceptible to crises. Finally, we apply a prediction analysis to further verify the heterogeneity of the commodity sectors, which may be the cause of the heterogeneous dependence.     

Asset pricing and downside risk in the Australian share market

As downside risk has been identified as a separate risk exposure to investors, we investigate whether downside beta and co-skewness exposure impact on the return to investors in Australian equities. Although considered as a developed market, the Australian Securities Exchange merits separate investigation, as it is small and concentrated on some sectors, when compared with the major developed markets. As realized returns are a proxy for expected returns, we separately examine conditional returns in upturn and downturn periods. We find that both downside risks are separately priced by investors, and that our results are unaffected by the inclusion of a range of company characteristics. We subsequently confirm that returns to each downside risk are not related. In robustness tests, we conclude that the return to downside risk cannot be explained by a size, a value, or a momentum premium. Although it also has explanatory power, the inclusion of a leverage factor also does not reduce the explanatory power of downside risk.     

Investment in human capital and gender wage differences: evidence from the NLSY

This paper uses data from the National Longitudinal Survey of Youth (NLSY) to investigate gender differences in returns to various forms of human capital. Since the NLSY includes relatively detailed information regarding on- and off-the-job training, we place special emphasis on measuring gender differences in the incidence of and returns to formal post-school training. Also considered is the role of nonhuman capital factors such as industry and occupation in explaining the wage gap. It is found that about 60% of the gender wage gap in the sample is explained by mean differences in individual characteristics and market circumstances. This suggests a smaller role for discrimination in explaining the wage gap than previous research has found. The research indicates that training does not affect the gender wage gap. Also it is found that there is no statistically significant difference in the rate of return to other measures of human capital for women versus men. Our research suggests that the largest factors contributing to the wage gap are differences in the stocks of human capital for men and women, and differences in the distributions of men and women across industries and occupations.     

Corporate insurance with optimal financial contracting

Summary. This paper attemps to rationalize the use of insurance covenants in financial contracts, and shows how external financing generates a demand for insurance by risk-neutral entrepreneurs. In our model, the entrepreneur needs external financing for a risky project that can be affected by an accident during its realization. Accident losses and final returns are private information to the firm, but they can be evaluated by two costly auditing technologies. We derive the optimal financial contract: it is a bundle of a standard debt contract and an insurance contract with franchise, trading off bankruptcy costs vs auditing costs. We then analyze how this optimal contract can be achieved by decentralized trading on competitive markets when insurance and credit activities are exogenously separated. With additive risks, the insurance contract involves full coverage above a straight deductible. We interpret this result by showing how our results imply induced risk aversion for risk-neutral firms. Received: December 14, 1998; revised version: August 11, 1999     

Cross-sectional and time-series momentum returns: are Islamic stocks different?

We search for differences in both unconditional and conditional momentum returns of Islamic and Non-Islamic stocks and test implications of competing behavioural theories that aim to explain momentum returns. Our results show that there is no significant difference in momentum returns between Islamic versus Non-Islamic stocks with respect to both cross-sectional (CS) and time-series (TS) momentum strategies even when we condition momentum returns on market dynamics, information uncertainty and idiosyncratic volatility. We also find that the TS strategy outperforms (underperforms) the CS strategy in market continuations (transitions) consistent with the recent evidence in the U.S. market.

Furthermore, we find that CS and TS strategies of both Islamic and Non-Islamic stocks are profitable only when the market continues in the same state consistent with overconfidence driving momentum returns of both Islamic and Non-Islamic stocks.     

DEFINED CONTRIBUTION PLANS, DEFINED BENEFIT PLANS, AND THE ACCUMULATION OF RETIREMENT WEALTH

The private pension structure in the United States, once dominated by defined benefit (DB) plans, is currently divided between defined contribution (DC) and DB plans. Wealth accumulation in DC plans depends on a participant's contribution behavior and on financial market returns, while accumulation in DB plans is sensitive to a participant's labor market experience and to plan parameters. This paper simulates the distribution of retirement wealth under representative DB and DC plans. It uses data from the Health and Retirement Study (HRS) to explore how asset returns, earnings histories, and retirement plan characteristics contribute to the variation in retirement wealth outcomes. We simulate DC plan accumulation by randomly assigning individuals a share of wages that they and their employer contribute to the plan. We consider several possible asset allocation strategies, with asset returns drawn from the historical return distribution. Our DB plan simulations draw earnings histories from the HRS, and randomly assign each individual a pension plan drawn from a sample of large private and public defined benefit plans. The simulations yield distributions of both DC and DB wealth at retirement. Average retirement wealth accruals under current DC plans exceed average accruals under private sector DB plans, although DC plans are also more likely to generate very low retirement wealth outcomes. The comparison of current DC plans with more generous public sector DB plans is less definitive, because public sector DB plans are more generous on average than their private sector DB counterparts.     

Do bitcoins follow a random walk model?

Bitcoins have become a fad among investors despite of the ambiguity surrounding on its nature and characteristics. This study aims to contribute to the existing literature of examining bitcoin returns under a financial asset purview. Through multiple robust tests, the market efficiency of daily bitcoin returns is analyzed for the time frame of July 2010 till March 2018. Strong evidence of market inefficiency characterized by absence of random walk model is found. The market inefficiency was found attributable to the presence of asymmetric volatility clustering. More studies are needed to examine the temporal dynamics of bitcoin returns.     

Value-at-risk Trade-off and Capital Allocation with Copulas

This paper uses copula functions to evaluate tail probabilities and market risk trade-offs at a given confidence level, dropping the joint normality assumption on returns. Copulas enable one to represent distribution functions separating the marginal distributions from the association structure. We present an application to two stock market indices: for each market we recover the marginal probability distribution. We then calibrate copula functions and recover the joint distribution. The estimated copulas directly give the joint probabilities of extreme losses. Their level curves measure the trade-off between losses over different desks. This trade-off can be exploited for capital allocation and is shown to depend on fat tails.
(J.E.L.: C14, G19, G29).