If the creditworthiness of a counterparty is a derivative of a commodity price, there is the potential to have right- or wrong-way exposures in respective commodity transaction. Identifying them is important, because otherwise credit costs might be inadequately calculated and wrong incentives...

We provide a model-free framework for studying the dynamics of the state vector and its risk prices. Specifically, we derive a frequency domain decomposition of the unconditional asset return premium in a general setting with a log-affine stochastic discount factor (SDF). Importantly, we show...

We present a framework focused on the interdependence of high-dimensional tail events. This framework allows us to analyze and quantify tail interdependence at different levels of extremity, decompose it into systemic and residual part and to measure the contribution of a constituent to the...

We present a framework focused on the interdependence of high-dimensional tail events. This framework allows us to analyse and quantify tail interdependence at different levels of extremity, decompose it into systemic and residual part and to measure the contribution of a constituent to the...

Empirical distributions of financial data are frequently observed to have “heavy tails”, i.e. a greater probability of extreme events than can be accounted for by the standard normal distribution. Non-normal modeling of the tails is therefore a topic of active research in risk management....

In this article we present the motivation and methodology behind the Tail Risk Model for Equities. This model provides portfolio managers with reports on tail risk measures, such as VaR and Expected Shortfall in a non‐normal setting, and attributes risk to individual securities and factors. We...

We provide an extreme value analysis of the returns of Bitcoin. A particular focus is on the tail risk characteristics and we will provide an in-depth univariate extreme value analysis. Those properties will be compared to the traditional exchange rates of the G10 currencies versus the US...

Risk Parity (RP), also called equally weighted risk contribution, is a recent approach to risk diversification for portfolio selection. RP is based on the principle that the fractions of the capital invested in each asset should be chosen so as to make the total risk contributions of all assets...

Actual portfolios contain fewer stocks than are implied by standard financial analysis that balances the costs of diversification against the benefits in terms of the standard deviation of the returns. Suppose a safety first investor cares about downside risk and recognizes the heavy tail...

This paper investigates the issue of market risk quantification for emerging and developed market equity portfolios. A very wide spectrum of popular and widely used in practice Value at Risk (VaR) models are evaluated and compared with Extreme Value Theory (EVT) and adaptive filtered models,...