An intensive and still growing body of research focuses on estimating a portfolio’s Value-at-Risk.Depending on both the degree of non-linearity of the instruments comprised in the portfolio and thewillingness to make restrictive assumptions on the underlying statistical distributions, a...

In recent years the Value at Risk (VaR) concept for measuringdownside risk has been widelystudied. VaR basically is a summary statistic that quantifies theexposure of an asset or portfolio tomarket risk, or the risk that a position declines in value withadverse market price changes. Threeparties...

Ibbotson's “Stocks, Bonds, Bills and Inflation” data set is widely used because it provides monthly US financial data series going back to as early as 1926. In this data set, the “default premium” is calculated as the difference between the total returns on long-term corporate bonds and...

Within the finance literature there is an apparent gap between the inherent risk premium ignorance of a risk parity approach on the one hand and the assumed risk premium clairvoyance of a mean variance approach on the other. We propose a portfolio selection framework that allows an investor to...