In the present paper we examine a concept which we claim to be more suitable than traditional ones for measuring chance and risk of a stock portfolio when options are included. After the basic shortfall risk measures have been derived systematically, the connections between these measures are...

This paper analyzes pension plan costs and investment strategies in the context of alternative hybrid pension plans which are optimal either from the perspective of the plan sponsor or the beneficiaries. The focus is in particular on how the introduction of minimum and maximum limits for pension...

This paper analyzes pension plan costs and investment strategies in the context of alternative hybrid pension plans which are optimal either from the perspective of the plan sponsor or the beneficiaries.The focus is in particular on how the introduction of minimum and maximum limits for pension...

As a contribution to the discussion on the risks of stocks in the long run the present paper analyses the shortfall risks of stocks using the risk measures shortfall probability, mean excess loss and shortfall expectation for various deterministic as well as a stochastic benchmark. As a main...