Risks faced by traders from price movements are sometimes magni¿ed by the actions of other traders. Risk management systems which neglect this feature may give a seriously misleading picture of the true risks. The hazards arising from this potential blindspot are at their most dangerous when the prevailing conventional wisdom lulls traders into a false sense of security on the attractivenss of ...

We propose an extension of the CPPI method, which is based on conditional floors. In this framework, we examine in particular the margin based strategies. This method allows to keep part of the past gains and to protect the portfolio value against future high drawdowns of the financial market. However, as for the standard CPPI method, the investor can benefit from potential market rises. To con...

Related to the current discussion of value-at-risk-based capital allocation and performance management (RAPM) for managing bank capital, a risk theoretical RAPM-approach for propertylliability-insurance companies is presented. The paper discusses several central issues of a RAPM-approach: Virtual risk adjusted capital (VRAC) on the company level, return on risk adjusted capital (RORAC), risk ba...

The concept of coherent risk measure was introduced in Artzner et al. (1999). They listed some properties, called axioms of ‘coherence’, that any good risk measure should possess, and studied the (non-)coherence of widely-used risk measure such as Value-atRisk (VaR) and expected shortfall (also known as tail conditional expectation or tail VaR). Kusuoka (2001) introduced two additional axioms c...

In this paper we study the model risk of Expected Shortfall (ES), extending the results of Boucher et al. (2014) on model risk of Value-at-Risk (VaR). We propose a correction formula for ES based on passing three backtests. Our results show that for the DJIA index, the smallest corrections are required for the ES estimates built using GARCH models. Furthermore, the 2.5% ES requires smaller corr...

Interest rate guides financial resources to effectively flow and allocate, which prompt economic structure adjusting and economic development. Risk-measurement of interest rate is the basis of the risk management. Thus, accurately measuring interest rate risk is extremely significant. Based on the inter-bank bond repurchase rate as the target, this paper uses value at risk (VAR) to quantify int...

A variety of methods is available to estimate a portfolio’s Value-at-Risk. Aside from the overall VaR there is an apparent need for information about marginal VaR, component VaR and incremental VaR. Expressions for these VaR metrics have been derived under the restrictive normality assumption. In this paper we investigate these VaR concepts in an elliptical world and in a general distribution-f...

Recently, the Value-at-Risk (VaR) framework was introduced for the routing problem of a single hazmat trip. In this paper, we extend the VaR framework in two important ways. First, we show how to apply the VaR concept to a more realistic multi-trip multi-hazmat type framework, which determines routes that minimize the global VaR value while satisfying equity constraints. Second, we show how to ...