On Simple Conditions for Mixed Equilibria in Dualistic Models. Part I: Degree of Mobility

On Simple Conditions for Mixed Equilibria in Dualistic Models. Part II: Degree of Coverage

The investment industry lacks an unified framework for handling derivative instruments in general portfolio management. With the increased use of derivatives, there is a need for a framework that aligns fundamental terminology and concepts. The main challenges with the current practices are...

In this paper, we consider an optimal stopping problem that addresses model uncertainty. Model uncertainty is the uncertainty affecting the model assumptions, e.g., the assumed form of the probability distribution, the parameters embedded in the probability distribution. The result presented in...

We propose that investment strategies should be evaluated based on their net-of-trading-cost return for each level of risk, which we term the "implementable efficient frontier." While numerous studies use machine learning return forecasts to generate portfolios, their agnosticism toward trading...

We consider the problem of finding the optimal time to switch between two measurable cash-flow streams. A complete characterization of the set of solutions is obtained in terms of adjoint variables which measure the available gain from deviations. An iterative procedure for the computation of...

Copulas are widely used in financial economics (Brigo 2010) as well as in other areas of applied mathematics. Yet, there is much arbitrariness in their choice. The author proposes “a natural copula” concept, which minimizes Wasserstein distance between distributions in some space, in which...

Investors typically measure an asset’s potential to diversify a portfolio by its correlations with the portfolio’s other assets, but correlation is useful only if it provides a good estimate of how an asset’s returns co-occur cumulatively with the other asset returns over the investor’s...

We consider a financial market consisting of a nonrisky asset and a risky one. We study the minimal initial capital needed in order to super-replicate a given contingent claim under the Gamma constraint, i.e. a constraint on the unbounded variation part of the hedging porfolio. In the general...

The aim of this paper is to develop a hedging methodology for making a portfolio of options delta, vega and gamma neutral by taking positions in other available options, and simultaneously minimizing the net premium to be paid for the hedging. A quadratic programming solution for the problem is...