A new class of risk measures called cash sub-additive risk measures is introduced to assess the risk of future financial, nonfinancial and insurance positions. The debated cash additive axiom is relaxed into the cash sub-additive axiom to preserve the original difference between the numeraire of...

We use a dynamic framework to address the questions: i) when should an insurance firm pay out dividends and raise (costly) capital and ii) when should an insurance firm take (liquid) investment risk. Financial decisions are made by a manager who strives to maximize firm value and operates in the...

We prove the existence of Pareto optimal allocations within sets of acceptable allocations when decision makers have probabilistic sophisticated variational preferences defined on random endowments in L1. Pareto optimal allocations, variational preferences, probabilistic sophistication,...

We investigate capital requirements based on Value at Risk (V@R) and Average Value at Risk (AV@R) when the bank's econometric model only approximately describes the true, unknown return generating process, as is often the case in practice. We provide a simple formula for such capital...