In dieser Arbeit setzen wir uns mit den Auswirkungen von Risikobeschränkungen auf das optimale Verhalten eines Investors auseinander, welcher versucht, den erwarteten Endnutzen zu einem festgelegten Zeitpunkt zu maximieren. Dazu kann er ein vorgegebenes Anfangsvermögen in einem Markt...

Market risk management is one of the key factors to success in managing financial institutions. Underestimated risk can have desastrous consequences for individual companies and even whole economies, not least as could be seen during the recent crises. Overestimated risk, on the other side, may...

The measurement of concentration risk in credit portfolios is necessary for the determination of regulatory capital under Pillar 2 of Basel II as well as for managing portfolios and allocating economic capital. Existing multi-factor models that deal with concentration risk are often inconsistent...

Este documento discute de manera breve el concepto de VaR (Value at Risk) y ES (Expected Shortfall) para introducir el uso del software estadístico gratuito R y el paquete VaR. Se ilustra paso a paso la estimación del VaR empleando la simulación histórica, un método paramétrico que supone...

The main goal of the work is to present the empirical verification of the investment attractiveness in a given world financial region. The attractiveness of a region is represented by the share of assets from this region in the optimal portfolio. The multivariate GARCH model has been used to...

In this paper, we propose a new bootstrap procedure to obtain prediction intervals of future Value at Risk (VaR) and Expected Shortfall (ES) in the context of univariate GARCH models. These intervals incorporate the parameter uncertainty associated with the estimation of the conditional variance...

In this paper, we characterize explicitly the first derivative of the Value at Risk and the Expected Shortfall with respect to portfolio allocation when netting between positions exists. As a particular case, we examine a simple Gaussian example in order to illustrate the impact of netting...

During the global financial turmoil of 2007 and 2008, no major derivative clearing house in the world encountered distress while many banks were pushed to the brink and beyond. An important reason for this is that derivative exchanges have avoided using value at risk, normal distributions and...

Over recent years, study on risk management has been prompted by the Basel committee for regular banking supervisory. There are however limitations of some widely-used risk management methods that either calculate risk measures under the Gaussian distributional assumption or involve numerical...

Financial portfolio optimization is a challenging problem. First, the problem is multiobjective (i.e.: minimize risk and maximize profit) and the objective functions are often multimodal and non smooth (e.g.: value at risk). Second, managers have often to face real-world constraints, which are...