The Value at Risk of a portfolio differs from the sum of the Values at Risk of the portfolio's components. In this paper, we analyze the problem of how a single economic risk figure for the Value at Risk of a hypothetical portfolio composed of different commercial banks might be obtained for a...

Banks face a tradeoff between diversifying and focusing their loan portfolio. In this paper we carry out an empirical study for the German market to shed light on the question whether or not the benefits of risk sharing outweigh those of specialization. We use data from the Bundesbank's...

Two shrinkage estimators for the global minimum variance portfolio that dominate the traditional estimator with respect to the out-of-sample variance of the portfolio return are derived. The presented results hold for any number of observations n = d 2 and number of assets d = 4. The...

We use a unique dataset of German banks' exposure to interest rate risk to derive the following statements about their exposure to this risk and their earnings from term transformation. The systematic factor for the exposure to interest rate risk moves in sync with the shape of the term...

We use portfolios of passive investment strategies to replicate the interest risk of banks' banking books. The following empirical statements are derived: (i) Changes in banks' present value and in their net interest income are highly correlated, irrespective of the banks' portfolio composition....

This study establishes necessary conditions for Almost Stochastic Dominance criteria of various orders. These conditions take the form of restrictions on algebraic combinations of moments of the probability distributions in question. The relevant set of conditions depends on the relevant order...

Both the expected-utility maximization and the hierarchy property are very important properties in stochastic dominance. For almost stochastic dominance, Leshno and Levy (2002) propose a definition and Tzeng et al. (2013) modified it to give another definition. This note provides more...