Traditional risk-adjusted performance measures, such as the Sharpe ratio, the Treynor index or Jensen’s alpha, based on the mean-variance framework, are widely used to rank mutual funds. However, performance measures that consider risk by taking into account only losses, such as Value-at-Risk...

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...

This paper mainly focuses on the correlation between live hedge funds return and their value at risk (VaR), which is based on the historical data from May 2000 to April 2010. The authors adopt portfolio level analyses and fund level cross-sectional regression, and find that there is significant...

This paper deals with the estimation of portfolio returns and Value at Risk (VaR), by using a class of Gaussian mixture distributions. Asset return distributions are frequently assumed to follow a normal or log normal distribution. It also can follow Brownian motion or Geometric Brownian motion...

It is well known that investors usually assign part of their funds to asset managers who are given the task of beating a benchmark portfolio. On the other hand, the risk management off ice could impose some restrictions to the asset managers' activity in order to maintain the overall portfolio...

Many investors assign part of their funds to asset managers of mutual funds who are given the task of beating a benchmark. Asset managers usually face a constraint on maximum Tracking Error Volatility (TEV), imposed by the risk management office to keep the risk of the portfolio close to that of...

Historical VaR, CVaR and ES (Expected Shortfall) to LIQUIDATION Software is a model characterized by its straightforwardness, allowing regulators measure risk using a standard database of primitive factors and portfolio positions only, leaving little error margin in comparing market risk for...

Investors have traditionally relied on mean-variance analysis to determine a portfolio’s optimal asset mix, but they have struggled to incorporate private equity into this framework because they do not know how to estimate its risk. The observed volatility of private equity returns is...

Over the last decade, institutional investors have posted some of the best long-term returns on record. Is it wise for investors to extrapolate these gains into the future, or is now a good time to consider downside protection? In this paper we analyze the current market risks and how tail risk...

Risk driver contributions are key to understanding portfolio risk. Often, this is done by decomposing portfolio ‘volatility’. This is problematic in the presence of non-elliptical distributions. Some asset managers propose switching to value-at-risk (VaR) or expected shortfall (ES) as risk...