This paper presents the use of three multivariate skew distributions (Generalized Hyperbolic distribution, multivariate skew normal distribution, and multivariate skew t distribution) for estimating minimum variance hedge ratio in a dynamic setting. Three criteria for measuring hedge...

This paper introduces the use of three multivariate skew distributions (Generalized Hyperbolic distribution, multivariate skew normal distribution, and multivariate skew t distribution) for estimating the minimum variance hedge ratio in a dynamic setting. Three criteria for measuring hedge...

In this paper, we show that if asset returns follow a generalized hyperbolic skewed t distribution, the investor has exponential utility function and a riskless asset is available, the optimal portfolio weights can be found either in closed-form or using a successive approximation scheme. We...

Linear variance and covariance estimates can be a poor proxy for investment risk under log normal return assumptions over longer horizons. When applied over long holding periods, popular portfolio construction methods relying on linear return and variances could lead to incorrect portfolio...

We extend the Black-Litterman framework beyond normality to general elliptical distributions of investor's views and asset returns and portfolio risk measured by CVaR. Unlike existing solutions, cf. Xiao and Valdez [Quant. Finan. 2015, 15:3, 509-519], the choice of distributions, with the first...

We develop robust models for optimization of the VaR and CVaR risk measures with a minimum expected return constraint under joint ambiguity in distribution, mean returns, and covariance matrix. We formulate models for ellipsoidal, polytopic, and interval ambiguity sets of the means and...

Under an assumption of normality, we explore a non-orthogonal Bayesian technique in which redundant information can in principle be filtered out of the posterior distribution by the explicit coupling of the prior and likelihood functions. The Black-Litterman forecasting model widely used by...