While it is common knowledge that portfolio separation in a continuous-time lognormal market is due to the basic properties of the Gaussian distribution, the usual textbook exposition relies on dynamic programming and thus Itô stochastic calculus and the appropriate regularity conditions. This...

Funding costs are the costs to a (risky) institution of providing and managing its future cash flows in excess of, say, some risk free funding. For a single deterministic cash flow with maturity T these costs are essentially given by the ratio of the risky bond and the risk free bond. They can...

We find that a large portion of U.S. equity mutual funds almost second-order stochastically dominates the market portfolio. Consistent with the canonical definition of second-order stochastic dominance, both fund investors and managers reveal their preference for funds with a higher degree of...

This paper provides a mathematical proof and theoretical analysis of the one-to-one consistency between higher-order Omega and Almost Stochastic Dominance rules when evaluating fund performance. The consistency between higher-order Omega and Almost Nth-degree Stochastic Dominance reinforces the...