A copula is a means of generating an n-variate distribution function from an arbitrary set of n univariate distributions. For the class of portfolio allocators that are risk averse, we use the copula approach to identify a large set of n-variate asset return distributions such that the relative magnitudes of portfolio shares can be ordered according to the reversed hazard rate ordering of the n...

Capital allocation techniques are of central importance in portfolio management and risk-based performance measurement. In this paper we propose an axiom system for capital allocation and analyze its satisfiability and completeness: it is shown that for a given risk measure ρ there exists a capital allocation Λρ which satisfies the main axioms if and only if ρ is sub-additive and positively hom...

In this paper we develop two permutation theorems on argument increasing functions of a multivariate random vector and a real parameter vector. We use the unified approach of our two theorems to provide some important theoretical results on the capital allocation in actuarial science, the deductible and upper limit allocations in insurance policy, and portfolio allocation in financial engineeri...

This article reconsiders the theory of existence of efficient allocations and equilibria when consumption sets are unbounded below under the assumption that agents have incomplete preferences. It is motivated by an example in the theory of assets with short-selling where there is risk and ambiguity. Agents have Bewley’s incomplete preferences. As an inertia principle is assumed in markets, equi...

This paper extends the concept of investment efficiency from investment management structures to include strategic asset allocation and liability related issues. The concept of risk budgeting is developed. It represents a valuable way of incorporating risk and return information to produce more efficient investment decisions. Information ratio is a key measurement in the process, and it is conc...

We critically review the translation of the core originating from game theory to the allocation of systemic risk. Whereas the core is commonly accepted for the portfolio allocation we will see that in a systemic context it might result in unfairnesses for certain members of the system. We observe that due to the presence of possible feedback mechanisms between the single entities, apart from th...

This paper investigates whether and how property dispositions affect credit ratings of real estate investment trusts (REITs). We use an instrument variable to control the potential endogeneity problem associated with firm’s decision to divest assets and find that property dispositions have a positive effect on REIT corporate credit ratings. We further investigate the underlying channels for thi...

We analyze the optimal allocation of trades to portfolios when the cost associated with an allocation is proportional to each portfolio’s risk. Our investigation is motivated by changes in the over-the-counter derivatives markets, under which some contracts may be traded bilaterally or through central counterparties, splitting a set of trades into two or more portfolios. A derivatives dealer fa...