The minimum spanning tree (a concept from Physics) is used to study the process of market integration for a large group of national stock market indices. We show how the asset tree evolves over time and describe the dynamics of its normalized length, mean occupation layer, and single- and...

Traditional portfolio optimization approaches suffer from the drawback of often leading to highly concentrated portfolios. We propose a new kind of optimization focusing on a homogeneous distribution of risk among the portfolio constituents. We describe the underlying ideas of the approach and...

In recent publications standard methods of random matrix theory have been applied to principal components analysis of high-dimensional financial data. We discuss the fundamental results and potential shortcomings of random matrix theory in the light of the stylized facts of empirical finance. It...

Practitioners often choose intuitive measures of risk which are possibly neither coherent nor consistent with the second order stochastic dominance (SSD) in order to reflect their risk characteristic (i.e., aversion to losses and preference to gains). An example of such risk measures which have...

We propose a new approach to recover relative entropy measures of dependence from limited information by constructing the most entropic copulas (MEC) and their canonical forms, namely, the most entropic canonical copulas (MECC). We show that our approach is in duality with the existing...

The concept of a treasury for credit risks is introduced by means of the analogy with the ''classic'' case, namely the interest rate risks' one. The ''classic'' treasury hedges interest rate risks of the banking book by oversteering them by means of an off-balance sheet portfolio consisting of...

We present a multi-period mean-variance optimization program which allows for a joint optimization of the balance and off-balance sheet. Our first finding is the proof of a conjecture of Li and Ng (2000), Leippold, Trojani and Vanini (2004, 2003) about the equivalence of the original...

We discuss how implied volatilities for OTC traded Asian options can be computed by combining Monte Carlo techniques with the Newton method in order to solve nonlinear equations. The method relies on accurate and fast computation of the corresponding vegas of the option. In order to achieve this...

Understanding both the dynamics of volatility as well as the shape of the distribution of returns conditional on the volatility state are important for many financial applications. A simple single-factor SV model appears to be sufficient to capture most of the dynamics; it is the shape of the...

The aim of this paper is to study the impact of Stock returns volatility of reference entities on credit default swap rates using a new dataset from the Japanese market. The majority of empirical research suggests the inadequacy of multinormal distribution and then the failure of methods based...