Given a utility defined on a Hilbert outcome space, we define at each outcome a generalized Arrow-Pratt (GAP) coefficient belonging to the Hilbert space. Comparing the risk aversion of such utilities using their GAP coefficients is equivalent to doing so in terms of other standard,...

It is well-known that various criteria for comparing aversion to real-outcome risks are equivalent. Some of this theory has been extended to Euclidean-outcome risks. We extend it further by:(a) filling the conceptual gaps, most notably by providing a criterion using our generalized Arrow-Pratt...

We derive sufficient conditions for non-emptyness of the efficient set for Stochastic Dominance Relations, commonly applied in Economics and Finance, over sets of distributions on the real line. We do so via the use of the concept of stochastic spanning and its characterization via a saddle type...

Banks must manage their trading books, not just value them. Pricing includes valuation adjustments collectively known as XVA (at least credit, funding, capital and tax), so management must also include XVA. In trading book management we focus on pricing, hedging, and allocation of prices or...

For a market with m assets and T discrete trading sessions, Cover and Ordentlich (1998) found that the “Cost of Achieving the Best Rebalancing Rule in Hindsight” is p(T, m) = _{n₁ ···^Σ n_m=T} (n₁,^T...,n_m)(n₁/T)(n₁ · · · (n_m/T)^n_m. Their super-replicating strategy is impossible to compute...

We study T. Cover's rebalancing option (Ordentlich and Cover 1998) under discrete hindsight optimization in continuous time. The payoff in question is equal to the final wealth that would have accrued to a $1 deposit into the best of some finite set of (perhaps levered) rebalancing rules...

Ordering alternatives by their degree of ambiguity is a crucial element in decision-making processes in general and in asset pricing in particular. Thus far the literature has not provided an applicable measure of ambiguity allowing for such ordering. The current paper addresses this need by...