We comprehensively investigate the usefulness of tail risk measures proposed in the literature. We evaluate both the statistical and the economic validity of the measures. The option-implied measure of Bollerslev and Todorov (2011b) (BT11Q) performs the best overall. While some other tail risk...

This paper presents a random risk measure, named as the random distortionrisk measure. The random distortion risk measure is a generalization of thetraditional deterministic distortion risk measure by randomizing thedeterministic distortion function and the risk distribution respectively,where a...

This paper examines real estate’s role in institutional mixed-asset portfolios using both private- and public-real estate indices, as a means of examining varying real estate-related risk/return opportunities. In so doing, this paper also examines the effects of: 1) increasing the investment...

This study proposes a GARCH copula quantile regression model to capture the downside and upside tail dependence between oil price change and stock market returns at different risk levels. In the model, ten copulas are provided to measure the nonlinearity of the tail dependence with the marginal...

This paper proposes a novel extension of log and exponential GARCH models, where time-varying parameters are approximated by orthogonal polynomial systems. These expansions enable us to add and study the effects of market-wide and external international shocks on the volatility forecasts and...

The main contribution of this paper is the derivation of the asymptotic behaviour of the out-of-sample variance, relative loss, and of their empirical counterparts in the high-dimensional setting. The results are obtained for the traditional estimator of the global minimum variance portfolio,...

We develop refined probability bounds for bank insolvency risk measures based on the Z-score, analogous to those given by Cantelli's inequality under the additional assumption of unimodality of returns, drawing on the one-sided Vysochanskii-Petunin inequality. Illustrating empirically for US...

This paper investigates an optimal reinsurance policy using a risk model with dependent claim and insurance premium by assuming that the insurance premium is random. Their dependence structure is modeled using Sarmanov’s bivariate exponential distribution and the Farlie–Gumbel–Morgenstern...