Consider a portfolio of n obligors such as loans, corporate bonds and other instruments subject to possible default. Tang and Yuan (2012, Submitted) introduced a new model for the loss given default and studied its tail behavior, Value at Risk, and Conditional Tail Expectation under the assumption that the losses jointly follow a multivariate regularly varying distribution. However, in the case...

In this study, we analyze the aerospace stocks prices in order to characterize the sector behavior. The data analyzed cover the period from January 1987 to April 1999. We present a new index for the aerospace sector and we investigate the statistical characteristics of this index. Our results show that this index is well described by Tsallis distribution. We explore this result and modify the s...

This paper investigates optimal portfolio and wealth strategy of an institutional investor under the Value-at-Risk (VaR) constraint in an economy under jump diffusion. We show that overlooking or underestimating jump risk factor could be the cause of failure to satisfy the VaR constraint in the recent financial crisis for many financial institutions. We also find that the introduction of the ju...

In this paper, we introduce two alternative extensions of the classical univariate Value-at-Risk (VaR) in a multivariate setting. The two proposed multivariate VaR are vector-valued measures with the same dimension as the underlying risk portfolio. The lower-orthant VaR is constructed from level sets of multivariate distribution functions whereas the upper-orthant VaR is constructed from level ...

The theory of copulae is known to provide a useful tool for modelling dependence in integrated risk management. In the present paper we review and extend some of the more recent results for finding distributional bounds for functions of dependent risks. As an example, the main emphasis is put on Value-at-Risk as a risk measure.

Value at Risk (VaR) has emerged in recent years as a standard tool to measure and control the risk of trading portfolios. Yet, existing theoretical analyses of the optimal behavior of a trader subject to VaR limits have produced a negative view of VaR as a risk-control tool. In particular, VaR limits have been found to induce increased risk exposure in some states and an increased probability o...

Tail conditional expectations refer to the expected values of random variables conditioning on some tail events and are closely related to various coherent risk measures. In the univariate case, the tail conditional expectation is asymptotically proportional to the value-at-risk, a popular risk measure. The focus of this paper is on asymptotic relations between the multivariate tail conditional...

This article advocates workplace adult education and training researchers and scholar practitioners interested in career and technical education (CTE), adult education and technology, and who are attempting social and cultural critiques of workplace e-learning. The emphasis on the technological and artefactual in workplace e-learning research and study are not producing the expected learning ou...

This article deals with the Value at Risk concept as it is used in practice. We show that, like the Gaussian distribution, elliptical distributions lend themselves to simple practical computations. All necessary computations are detailed for the symmetric hyperbolic distributions. A test on real stock market and exchange rate data shows the new distributions fit the data better and outperform e...