The capital asset pricing model (CAPM) is a widely adopted model in asset pricing theory and portfolio construction because of its intuitive nature. One of its main conclusions is that there exists a global market portfolio that each rational investor should hold in proportion with the risk-free...

This note demonstrates how a covariance matrix estimated using log-returns of multiple assets in their respective base currencies can be converted directly into a covariance matrix in a single common currency using basic matrix multiplication. This approach eliminates the need to compute returns...

In this note we prove a simple formula to compute the Incremental Volatility, i.e. the change in the portfolio volatility due to the removal of one asset from the portfolio. The common practice adopted in the literature and in the industry is to avoid the full recalculation of the portfolio...

The aim of this paper is to assess whether the data-generation process of the GDP can be interpreted by means of a nonlinear model instead of a linear one. We model the first differences of logarithmic real GDP data with constant parameters for those European countries (France, Germany, Italy,...

The problem we want to solve in this paper is that of finding a statistical test that pennits us to compare the impulse response function (JRF) of a linear model with that of a nonlinear one. We achieve our goal starting with a simple case where the comparison is between two VAR models of...

The aim of this paper is to assess whether the data-generation process of the GDP can be interpreted by means of a nonlinear model instead of a linear one. We model the first differences of logarithmic real GDP data with constant parameters for those European countries (France, Germany, Italy,...

In the last few years new techinques able to help in explaining macroeconomic fluctuations have been developed. Following the article o fBlanchard (1989), concerning US macroeconomic data we will examine the UK economy using a new methodology, the so called "Structural" VAR analysis, developed...