The Influence of U.S. GAAP on the Harmony of Accounting Measurement Policies of Large Companies in the U.K. and Australia

U.S. GAAP has increasingly become an influence on accounting practices in other countries, even aside from those traditionally considered under direct U.S. influence. The change arises from the large number of U.S. accounting standards, non-U.S. companies listing on U.S. stock exchanges, and the amount of U.S. direct investment abroad. As the impact of U.S. GAAP varies across countries, it may affect international accounting harmony. This idea is tested by examining the level of international harmony for eleven accounting measurement policies in matched pairs of large companies from Australia and the U.K., two countries with historically strong cultural and economic links. It is argued that, in recent decades, accounting practice in Australia, more so than in the U.K., has become increasingly U.S.-oriented. The concepts of harmony of Tay and Parker (1990) and Archer et al . (1996) are employed. International harmony is measured by the between-country C index and chi-square test; national harmony by van der Tas's (1988) H index. While considerable national harmony is found in the U.K. for seven and in Australia for five accounting policies, there is considerable or complete international harmony for only three policies. Evidence is presented of the influence of U.S. GAAP as one factor explaining the poor degree of U.K./Australia international harmony. Australian companies appear to follow U.S. GAAP to a greater extent than do U.K. companies. The state of partial harmony thus existing restricts international comparability of accounting reports and may cause problems for regulators.     

SKEWNESS AND KURTOSIS IN S&P 500 INDEX RETURNS IMPLIED BY OPTION PRICES

The Black-Scholes (1973) model frequently misprices deep-in-the-money and deep-out-of-the-money options. Practitioners popularly refer to these strike price biases as volatility smiles. In this paper we examine a method to extend the Black-Scholes model to account for biases induced by nonnormal skewness and kurtosis in stock return distributions. The method adapts a Gram-Charlier series expansion of the normal density function to provide skewness and kurtosis adjustment terms for the Black-Scholes formula. Using this method, we estimate option-implied coefficients of skewness and kurtosis in S&P 500 stock index returns. We find significant nonnormal skewness and kurtosis implied by option prices.     

Stochastic Dominance Analysis of iShares

Abstract

Country indices as represented by iShares exhibit non-normal return distributions with both skewness and kurtosis. Earlier studies provide procedures for determining the statistical significance of stochastic dominance measures and the Sharpe Ratio. This present study uses these refinements to compare the performance of 18 country market indices. The iShares are indistinguishable when using the Sharpe Ratio as no significant differences are found. In contrast, stochastic dominance procedures identify dominant iShares. Although the results vary over time, stochastic dominance appears to be both more robust and discriminating than the CAPM in the ranking of the iShares.     

The dynamics of the Monday effect in international stock indices

This examination of the temporal dynamics of the international Monday effect is based on 50 countries. Observed between-country differences are characterised by an economic factor based on four indices. The prior day effect captures the tendency for price changes to follow those on the prior day. A bad (good) day occurs when the price change on the prior day is negative (positive). A panel regression with panel corrected standard errors, is used to characterise the way that the Monday effect and the cognate prior day effect systematically vary between countries over the period 1994 to 2006. At the start of the data in 1994, there is a considerable prior day effect which is larger for poor countries. This between-country difference declines over time and has essentially disappeared by 2006. The bad non-Monday effect and the bad-Monday effect also decline over time. Further analysis with six leading economies provides evidence that the prior day influence on Mondays and non-Mondays dates back to at least 1973.     

Harmonization of Accounting Measurement Practices in South Asia

This study examines the extent of harmonization of selected accounting measurement practices in three South Asian countries, India, Pakistan and Bangladesh. The study is based on a sample of 566 non-financial companies for the financial year 1997–1998. The degree of harmonization is measured using Van der Tas's (1988) I index and Archer, Delvaille, and McLeay's (1995) modified C index. The values of the I index and the C index show a relatively higher degree of harmonization in the areas of property, plant and equipment, foreign currency translation and long-term investment, and a lower level of harmonization in the areas of inventory, amortization of goodwill and leases. The results suggest that low harmonization levels are both due to the degree of flexibility available in selecting benchmark treatments in some International Accounting Standards (IAS) and also to non-compliance by companies with IAS-mandated requirements. Significant further work is required by South Asian Federation of Accountants and the other regional accounting bodies if the goals of regional and international accounting harmonization are to be achieved.     

Robust estimation with flexible parametric distributions: estimation of utility stock betas

The distributions of stock returns and capital asset pricing model (CAPM) regression residuals are typically characterized by skewness and kurtosis. We apply four flexible probability density functions (pdfs) to model possible skewness and kurtosis in estimating the parameters of the CAPM and compare the corresponding estimates with ordinary least squares (OLS) and other symmetric distribution estimates. Estimation using the flexible pdfs provides more efficient results than OLS when the errors are non-normal and similar results when the errors are normal. Large estimation differences correspond to clear departures from normality. Our results show that OLS is not the best estimator of betas using this type of data. Our results suggest that the use of OLS CAPM betas may lead to erroneous estimates of the cost of capital for public utility stocks.     

Implied volatility skews and stock return skewness and kurtosis implied by stock option prices

The Black-Scholes* option pricing model is commonly applied to value a wide range of option contracts. However, the model often inconsistently prices deep in-the-money and deep out-of-the-money options. Options professionals refer to this well-known phenomenon as a volatility ‘skew’ or ‘smile’. In this paper, we examine an extension of the Black-Scholes model developed by Corrado and Su that suggests skewness and kurtosis in the option-implied distributions of stock returns as the source of volatility skews. Adapting their methodology, we estimate option-implied coefficients of skewness and kurtosis for four actively traded stock options. We find significantly nonnormal skewness and kurtosis in the option-implied distributions of stock returns.     

Monthly Pattern and Portfolio Effect on Higher Moments of Stock Returns: Empirical Evidence from Hong Kong

Using a direct test, this paper studies the month-of-the-year effect on the higher moments of six industrial stock indices of the Hong Kong market. We also examine the portfolio effect on skewness and kurtosis across month of the year to see if such an anomaly exists. The empirical results support a weak month-of-the-year effect in higher moments of stock returns. Using a complete sample of all possible combinations for each portfolio size, we show that portfolio effect varies across month of the year for both skewness and kurtosis. In particular, our results show that diversification does not necessarily provide benefits to rational investors when the stock return distribution is non-normal, even though portfolio formation can reduce standard deviation. In June, August and October, diversification across industrial sectors results in a more negatively skewed and leptokurtic return distribution, which is not preferred by investors with risk-aversion. Two (one) possible explanations for the portfolio effect on skewness (kurtosis) are also provided. Our empirical results add new evidence to the existence of anomalies in the Hong Kong stock market. This revised version was published online in August 2006 with corrections to the Cover Date.     

International stock market cointegration under the risk-neutral measure

This paper investigates international cointegration and financial integration among equity market indexes using index option data, providing an ex-ante analysis through investor anticipations. Daily time series of risk-neutral variance, skewness, and kurtosis are constructed for five major indexes for three sub-periods between 2003 and 2013. Fractionally cointegrated VAR models are estimated at the international level, accounting for persistence in risk-neutral moments. Our results show that there exist international equilibria in risk-neutral moments defined by several cointegrating vectors. During the 2007–2009 global crisis period, these equilibria are characterized by an increase in persistence and in the speeds of adjustment. Moreover, for risk-neutral variance and skewness, all markets are included in the equilibria and none are weakly exogenous. Outside the global crisis period, the cointegration relationship is more fragmented, especially for higher-order moments. In particular, crash and tail risks are segmented during the European debt crisis.     

Is international diversification really beneficial?

Previous research claims that low constant correlations among international stock indices create substantial risk-reduction from diversification. We contend that only using constant correlations is too simplistic an approach. We examine international diversification by: (1) using conditional correlations, (2) evaluating tail risk, including the effect of skewness and kurtosis, and (3) examining the possible tradeoffs of standard deviation with correlation, skewness, and kurtosis. We show that conclusions concerning diversification based solely on constant correlations across markets can be misleading, since the diversification benefits are time-varying, are affected by non-normality, and depend on the benchmark (country) employed. Finally, tradeoffs do exist between standard deviation and the other risk factors.     

Optimal investments in volatility

Volatility has evolved as an attractive new asset class of its own. The most common instruments for trading volatility are variance swaps. Mean returns of DAX and ESX variance swaps over the time period of 1995 to 2004 are strongly negative, and only part of the negative premium can be explained by the negative correlation of variance swap returns with stock market indices. We analyze the implications of this observation for optimal portfolio composition. Mean-variance efficient portfolios are characterized by sizable short positions in variance swaps. Typically, the stock index is also sold short to achieve a better portfolio diversification. To capture heterogeneous preferences for higher moments, we use a variant of the polynomial goal programming method. We assume that investors strive for a high Sharpe ratio, high skewness, and low kurtosis. Our analysis reveals that it is often not possible to achieve a balanced tradeoff between Sharpe ratio and skewness. Investors are advised to hold the extreme portfolios (Sharpe ratio driven, skewness driven, or kurtosis driven) and avoid the middle ground. This “all-or-nothing” characteristic is reflected in jumps of asset weights when certain thresholds of preference parameters are crossed. These empirical findings can explain why many investors are so reluctant to implement option-based short-selling strategies.

Alternative statistical distributions for estimating value-at-risk: theory and evidence

A number of applications presume that asset returns are normally distributed, even though they are widely known to be skewed leptokurtic and fat-tailed and excess kurtosis. This leads to the underestimation or overestimation of the true value-at-risk (VaR). This study utilizes a composite trapezoid rule, a numerical integral method, for estimating quantiles on the skewed generalized t distribution (SGT) which permits returns innovation to flexibly treat skewness, leptokurtosis and fat tails. Daily spot prices of the thirteen stock indices in North America, Europe and Asia provide data for examining the one-day-ahead VaR forecasting performance of the GARCH model with normal, student??s t and SGT distributions. Empirical results indicate that the SGT provides a good fit to the empirical distribution of the log-returns followed by student??s t and normal distributions. Moreover, for all confidence levels, all models tend to underestimate real market risk. Furthermore, the GARCH-based model, with SGT distributional setting, generates the most conservative VaR forecasts followed by student??s t and normal distributions for a long position. Consequently, it appears reasonable to conclude that, from the viewpoint of accuracy, the influence of both skewness and fat-tails effects (SGT) is more important than only the effect of fat-tails (student??s t) on VaR estimates in stock markets for a long position.     

Effects of intervaling on high-frequency realized higher-order moments

In high-frequency finance, the statistical terms ‘realized skewness’ and ‘realized kurtosis’ refer to the realized third- and fourth-order moments of high-frequency returns data normalized (or divided) by ‘realized variance’. In particular, before any computations of these two normalized realized moments are carried out, one often predetermines the holding-interval and sampling-interval and thus implicitly influencing the actual magnitudes of the computed values of the normalized realized higher-order moments i.e. they have been found to be interval-variant. To-date, little theoretical or empirical studies have been undertaken in the high-frequency finance literature to properly investigate and understand the effects of these two types of intervalings on the behaviour of the ensuring measures of realized skewness and realized kurtosis. This paper fills this gap by theoretically and empirically analyzing as to why and how these two normalized realized higher-order moments of market returns are influenced by the selected holding-interval and sampling-interval. Using simulated and price index data from the G7 countries, we then proceed to illustrate via count-based signature plots, the theoretical and empirical relationships between the realized higher-order moments and the sampling-intervals and holding-intervals.     

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.     

Effects of skewness and kurtosis on production and hedging decisions: a skewed t distribution approach

This paper assumes that the spot price follows a skewed Student t distribution to analyze the effects of skewness and kurtosis on production and hedging decisions for a competitive firm. Under a negative exponential utility function, the firm will not over-hedge (under-hedge) when the spot price is positively (negatively) skewed. The extent of under-hedge (over-hedge) decreases as the forward price increases. Compared with the mean-variance hedger, the producer will hedge more (less) when negative (positive) skewness prevails. In addition, an increase in the skewness reduces the demand for hedging. The effect of the kurtosis, however, depends on the sign of the skewness. When the spot price is positively (negatively) skewed, an increase in kurtosis leads to a smaller (larger) futures position.     

Optimal health insurance

I formulate expected-utility-maximizing models for health insurance with a single optimal coinsurance (C*) and (separately) a single optimal deductible (D*). While so-doing, I formalize Nyman's challenge to standard welfare-loss models, clarifying when and by how much this alters unadjusted models. Using MEPS-calibrated lognormal distributions and incorporating skewness and kurtosis measures of financial risk, I show how C* shifts as various economic parameters change. For reasonable parameter values, C* < 0.1, much lower than variance-only estimates would conclude. Omitting higher-order risk parameters importantly understates risk and hence understates optimal insurance coverage. I separately develop methods to determine D*, showing that it is approximately a fixed percentage of income that falls as the distribution of financial risks rise. This finding contrasts with existing US public policy regarding high-deductible health plans, which employ fixed deductibles, independent of income.     

Skewed distributions in finance and actuarial science: a review

That the returns on financial assets and insurance claims are not well described by the multivariate normal distribution is generally acknowledged in the literature. This paper presents a review of the use of the skew-normal distribution and its extensions in finance and actuarial science, highlighting known results as well as potential directions for future research. When skewness and kurtosis are present in asset returns, the skew-normal and skew-Student distributions are natural candidates in both theoretical and empirical work. Their parameterization is parsimonious and they are mathematically tractable. In finance, the distributions are interpretable in terms of the efficient markets hypothesis. Furthermore, they lead to theoretical results that are useful for portfolio selection and asset pricing. In actuarial science, the presence of skewness and kurtosis in insurance claims data is the main motivation for using the skew-normal distribution and its extensions. The skew-normal has been used in studies on risk measurement and capital allocation, which are two important research fields in actuarial science. Empirical studies consider the skew-normal distribution because of its flexibility, interpretability, and tractability. This paper comprises four main sections: an overview of skew-normal distributions; a review of skewness in finance, including asset pricing, portfolio selection, time series modeling, and a review of its applications in insurance, in which the use of alternative distribution functions is widespread. The final section summarizes some of the challenges associated with the use of skew-elliptical distributions and points out some directions for future research.     

The Measurement of Comparability in Accounting Research

Indices of harmony such as the H, C, I and T indices have been developed and used in the accounting literature to quantify the level of comparability of company accounts. This has led to advances in definitions of comparability as well as empirically quantifying the extent of comparability between actual company accounts. These are important because the general concept of comparability is considered desirable, as highlighted by its inclusion as one of four qualitative characteristics in the framework of the International Accounting Standard Board (IASB). This paper rebuts criticisms of harmony indices in the accounting literature by arguing these criticisms either: (a) apply to old indices but not to newer ones, (b) apply to most empirical accounting research, (c) are based on incorrect or irrelevant assertions, or (d) relate to alternative definitions of harmony. This assists the use and interpretation of harmony indices and advances our understanding of what comparability means. New indices within the T index framework are also proposed by directly comparing company accounts and therefore avoiding the previous requirement to define ‘accounting methods’. A new index R is also proposed to capture international harmony between countries when within‐country uniformity is absent.     

Effects of market default risk on index option risk-neutral moments

We investigate the relative importance of market default risk in explaining the time variation of the S&P 500 Index option-implied risk-neutral moments. The results demonstrate that market default risk is positively (negatively) related to the index risk-neutral volatility and skewness (kurtosis). These relations are robust in the presence of other factors relevant to the dynamics and microstructure nature of the spot and option markets. Overall, this study sheds light on a set of economic determinants which help to understand the daily evolution of the S&P 500 Index option-implied risk-neutral distributions. Our findings offer explanations of why theoretical predictions of option pricing models are not consistent with what is observed in practice and provide support that market default risk is important to asset pricing.