  The metalog distributions represent a convenient way to approach many
practical applications. Their distinctive feature is simple closed-form
expressions for quantile functions. This paper contributes to further
development of the metalog distributions by deriving the closed-form
expressions for the Conditional Value at Risk, a risk measure that is closely
related to the tail conditional expectations. It also addressed the derivation
of the first-order partial moments and shows that they are convex with respect
to the vector of the metalog distribution parameters.
