We consider a highly-qualified individual with respect to her choice between two distinct career paths. She can choose between a mid-level management position in a large company and an executive position within a smaller listed company with the possibility to directly affect the company’s...

Motivated by the modeling of liquidity risk in fund management in a dynamic setting, we propose and investigate a class of time series models with generalized Pareto marginals: the autoregressive generalized Pareto process (ARGP), a modified ARGP (MARGP) and a thresholded ARGP (TARGP). These...

We solve the problem of an investor who maximizes utility but is uncertain about preferences. We propose a problem formulation based on expected certainty equivalents. We tackle the time-consistency issues arising from that formulation by applying the equilibrium theory approach. To this end, we...

In this paper, we are concerned with the Monte Carlo valuation of discretely sampled arithmetic and geometric average options in the Black-Scholes model and the stochastic volatility model of Heston in high volatility environments. To this end, we examine the limits and convergence rates of...

We investigate worst-case optimal consumption and portfolio decisions under the threat of a market crash. In an infinite-horizon setting, we provide an explicit solution for constant relative risk aversion and establish a rigorous verification result. Moreover, we find a dual characterization of...

We explicitly show what should be taken into account when the liquidity measure Liquidity at Risk (LaR) is applied to mutual funds. We adapt the LaR such that it is able to cover certain issues arising when dealing with fund redemption data from the real world and give guidelines what has to be...