Commodity market risk from 1995 to 2013: an extreme value theory approach

In this article we examine whether extreme risk has increased in the agricultural commodity market during the period 1995–2013. We add to the literature on food price volatility by analysing the tail segment of futures price return distributions. Food price variability is a concern for governments and regulators worldwide, as most nations trade in food. High food price variability can contribute to poverty and malnourishment, in particular for people in less economically developed economies. We find no indications of systematically increasing tail-risk for the commodities in our sample. Analysis of estimated shape-parameters of the Generalized Extreme Value distribution further supports the conclusion that there is no general systematic change in the extreme risk associated with these commodity investments.     

Tail dependence and diversification benefits in emerging market stocks: an extreme value theory approach

This article examines tail dependence, the benefits of diversification and the relation between the two for emerging stock markets. We find most emerging equity markets are independent in limiting joint extremes. However, the dependence in finite levels of extremes is still much stronger than the dependence implied by multivariate normality. Therefore, simple correlation analysis can lead to gross underestimation of the chances of joint crashes in multiple markets. Assuming risk-averse investors guarding against extreme losses, diversification benefits are measured for each two-country optimal portfolio by the reduction in quantile risk measures such as value-at-risk and expected shortfall relative to an undiversified portfolio. It is shown that tail dependence measures developed from multivariate extreme value theory are negatively related to diversification benefits and more importantly can explain diversification benefits better than the correlation coefficient at the most extreme quantiles.     

Beware of the crash risk: Tail beta and the cross-section of stock returns in China

We investigate the pricing of systematic tail risk measured by tail beta in the Chinese equity market. Using an array of tests, we examine the performance of more than 3,300 stocks for the years 1999 through 2018. Contrary to evidence from developed markets, we demonstrate a strong negative relationship between the tail beta and future returns. The effect is robust to many considerations and cannot be explained by established pricing factors or alternative risk or illiquidity measures. We link our findings to specific characteristics of the Chinese stock market.     

A new test procedure for the choice of dependence structure in risk measurement: application to the US and UK stock market indices

The choice of an appropriate dependence structure in modelling multivariate risks is an important issue because different tail structure embedded in copula leads to a different capital requirement for the institution. We present how to select a well-specified dependence structure to given application data. Using a simple simulation technique, we develop a statistical test to assess the adequacy of a specific dependence structure. We examine the sensitivity of risk estimates to the choice of copulas using the S&P 500 and FTSE 100 stock indices.     

An analysis of extreme movements of exchange rates of the main currencies traded in the Foreign Exchange market

This article analyses the extreme movements of exchange rates of the seven main currencies traded in the Foreign Exchange market against the US dollar: Euro, British pound, Canadian dollar, Japanese Yen, Swiss franc, Australian dollar and New Zealand dollar by using tail index indicators. Payaslio?lu (2009) considers the case of the Turkish exchange rate using the traditional Hill (1975) estimator as a tool. In this article, we employ also an alternative estimator proposed in Iglesias and Linton (2009) that is shown to have, in some cases, improved finite sample properties and it provides substantially different results versus the Hill estimator. We find that for the Euro, Japanese Yen, Swiss franc, Canadian, Australian and New Zealand dollars, the Hill estimator provides a better measure to analyse the extreme behaviour; while for the British pound, the Iglesias and Linton alternative estimator is superior by using Hausman-type tests of misspecification. Measures of value at risk are also provided for the seven markets. We also find that the largest estimated value at risk by far is for the Japanese Yen, followed by the Swiss franc, the Canadian dollar, the Euro, the New Zealand dollar and the Australian dollar. The UK pound has the smallest value at risk when extreme movements occur.     

Price behaviour in the US sweetener market: a cointegration approach

The sweetener market in the United States is complicated because of the substitution possibilities between high fructose corn syrup (HFCS) and sugar. This study focuses on the relationship between raw sugar prices and the prices for high fructose corn syrup. Sugar and HFCS are imperfect substitutes for several industrial uses. Sugar can be used for all industrial uses, but HFCS has limited uses. This study uses cointegration analysis to examine the relationship between sugar and HFCS prices as well as the relationship between raw and refined sugar prices over time. The results indicate that sugar and HFCS prices move together for the 1983–1996 period. However, after this time period HFCS prices no longer follow sugar prices.