We propose a portfolio approach for operational risk quantification based on a class of analytical models from which we derive new results on the correlation problem. In particular, we show that uniform correlation is a robust assumption for measuring capital charges in these models

We propose linear programming tests for spanning and intersection based on stochastic dominance rather than mean-variance analysis. An empirical application investigates the diversification benefits to US investors from emerging equity markets.

This paper finds necessary and sufficient conditions of Nth-order stochastic dominance (SD) for risk aversion and develops linear tests for Nth-order SD. We introduce a linear FDSD (fourth-order SD and decreasing absolute risk aversion SD) test for standard risk aversion. A positive research...

This paper introduces a structural credit default model that is based on a hyper-exponential jump diffusion process for the value of the firm. For credit default swap prices and other quantities of interest, explicit expressions for the corresponding Laplace transforms are derived. As an...

A Hidden Markov Model (HMM) is used to model the VIX (the Cboe Volatility Index). A 4- state Gaussian mixture is fitted to the VIX price history from 1990 to 2022. Using a growing window of training data, the price of the S&P500 is predicted and two trading algorithms are presented, based on the...

This paper presents the theoretical and applicative model elaborated by Harry Markowitz on the determination of the structure of the efficient securities portfolio. In this sense, in order to determine the structure of the efficient Markowitz portfolio (PE), a Lagrange function is built and...