Based on a robustness concept adapted from mathematical statistics, we investigate robust optimal investment strategies for worst-case crash scenarios when the maximum crash height is not known a priori. We specify an efficiency criterion in terms of the certainty equivalents of optimal terminal...

In this article we include discrete dividends in the stock price model and solve a generalized portfolio optimization problem. For this, we develop a new discrete dividend model that allows for the possibility of early announcement and ensures that the drop of the stock price at the ex-dividend...

This is a summary of the main topics and findings from the Swiss Risk and Insurance Forum 2017. That event gathered experts from academia, insurance industry, regulatory bodies, and consulting companies to discuss past and current developments as well as future perspectives in dealing with...

In this paper we present some counter-examples to show that an uncritical application of the usual methods of continuous-time portfolio optimization can be misleading in the case of a stochastic opportunity set. Cases covered are problems with stochastic interest rates, stochastic volatility,...

We develop a simple and fast methodology for the estimation of future outstanding, discrete dividend payments, based on market prices of American at-the-money options. Our method relies on a linear combination of no-arbitrage bounds of the dividends. The corresponding optimal weight is...

Insurance companies and banks regularly have to face stress tests performed by regulatory instances. To model their investment decision problems that includes stress scenarios, we propose the worst-case portfolio approach. Thus, the resulting optimal portfolios are already stress test prone by...

We consider portfolio optimisation problems where either the investor has a desire for an a priori specified consumption stream or/and follows a deterministic pay-in scheme while also trying to maximize expected utility from final wealth. We derive explicit closed form solutions for continuous...