Risk parity is an allocation method used to build diversified portfolios that does not rely on any assumptions of expected returns, thus placing risk management at the heart of the strategy. This explains why risk parity became a popular investment model after the global financial crisis in...

Although portfolio management didn’t change much during the 40 years after the seminal works of Markowitz and Sharpe, the development of risk budgeting techniques marked an important milestone in the deepening of the relationship between risk and asset management. Risk parity then became a...

An important aspect of portfolio risk management is the analysis of the overall risk with respect to the allocations to the underlying assets. Marginal risk is the traditional tool used by portfolio managers to accomplish this. However, this metric is only meaningful when a position is levered...

We discuss linear regression approaches to conditional Value-at-Risk and Average Value-at-Risk (Conditional Value-at-Risk, Expected Shortfall) risk measures. Two estimation procedures are considered for each conditional risk measure, one is direct and the other is based on residual analysis of...

Model risk in the estimation of value-at-risk is a challenging threat for the success of any financial investments. The degree of the model risk increases when the estimation process is constructed with a portfolio in the emerging markets. The proper model should both provide flexible joint...

In this paper we demonstrate a recursive method for obtaining the moments of the generalized hyperbolic distribution. The method is readily programmable for numerical evaluation of moments. For low order moments we also give an alternative derivation of the moments of the generalized hyperbolic...

This paper investigates estimation of extreme risk in a number of stock markets in the Gulf Cooperation Council (GCC) countries , Saudi, Kuwait, and United Arab Emirates, in addition to S& P 500 stock index, using the Generalized Pareto Distribution (GPD) model. The estimated tails parameter...

This paper employs extreme downside risk measures to estimate the impact of the global financial crisis in 2008/2009 on equity markets in major oil producing Middle East countries. The results in the paper indicate the spillover effect of the global crisis varied from a country to another, but...

Basel II suggests that banks estimate downturn loss given default (DLGD) in capital requirement calculation. There have been studies that focused on the dependence of default rates and loss given defaults through economic cycles. However, the models proposed are still not satisfactory. In this...

Fund selection is an important issue for investors. This topic has spawned abundant academic literature. Nonetheless, most of the time, these works concern only active management, whereas many investors, such as institutional investors, prefer to invest in index funds. The tools developed in the...