I applaud the article as it is exactly the type of reaction to my editorial in Astin Bulletin 32(2) that I hoped to provoke. [Hans Bühlmann]<p>

The paper derives many existing risk measures and premium principles by minimizing a Markow bound for the tail probability. Our approach involves two exogenous functions v(S) and ... Minimizing a general Markow bound leads to the following unifying equation. [Marc J. Goovaerts, Rob Kaas, Jan...

Variable rate savings accounts have two main features. The interest rate paid on the account is variable and deposits can be invested and withdrawn at any time. However, customer behaviour is not fully rational and withdrawals of balances are often performed with a delay.(...)

In this paper, based on the additive measure integral representation of a non-additive measure integral, it is shown that any comonotonically additive premium principle can be represented as an integral of the distorted decumulative distribution function of the insurance risk.

The probability density function of the time of ruin in the classical model with exponential claim sizes is obtained directly by inversion of the associated Laplace transform.

In the recent actuarial literature, several proofs have been given for the fact that if a random vector (XI, X2, ..., X~) with given marginals has a comonotonic joint distribution, the sum XI + X2 + ...+ Xn is the largest possible in convex order...

Young (1999) discussed the conjecture proposed by Christofides (1998) regarding the premium principle of Wang (1995, 1996)...

In the present paper we extend a recursive algorithm developed by Vernic (1999) for compound distributions...