Purpose: This paper aims to illustrate, within the context of a well-known linear diversification model, that risk management as exerted by banks and regulators ultimately depends on how risk is assessed and conceptualized. The two risk metrics used are the probability of bank failure and value...

A new insurance provider or a regulatory agency may be interested in determining a risk measure consistent with observed market prices of a collection of risks. Using a relationship between distorted coherent risk measures and spectral risk measures, we provide a method for reconstructing...

The maximum entropy principle provides a variational method to select a measure yielding pre-assigned mean values to a random variable. It can also be invoked to construct measures that render a stochastic process a martingale, thus providing a systematic way of constructing risk-neutral...

In a previous paper we studied a method to determine the probability density of barrier crossing times by a Brownian motion from the knowledge of its Laplace transform. This knowledge combined with the method of maximum entropy yields quite good reconstructions. The aim of this work is to extend...

Previous work of J.T. Lewis is extended to include diffusions on level sets of functions [phi]n-->k with n >k in terms of the coordinates of the host space. The particular case k = 1 extends previous related work of M. van den Berg and J.T. Lewis.

In Gzyl and Mayoral (2008) we developed a technique to solve the following type of problems: How to determine a risk aversion function equivalent to pricing a risk with a load, or equivalent to pricing different risks by means of the same risk distortion function. The information on which the...