We give an explicit PDE characterization for the solution of the problemof maximizing the utility of both terminal wealth and intertemporal consumption under model uncertainty. The underlying market model consists of a risky asset, whose volatility and long-term trend are driven by an external...

We give an explicit PDE characterization for the solution of a robust utility maximization problem in an incomplete market model, whose volatility, interest rate process, and long-term trend are driven by an external stochastic factor process. The robust utility functional is defined in terms of...

Ambiguity, also called Knightian or model uncertainty, is a key feature in financial modeling. A recent paper by Maccheroni et al. (2004) characterizes investorpreferences under aversion against both risk and ambiguity. Their result shows that these preferences can be numerically represented in...

We consider the problem of optimal consumption for an investor who is risk and uncertainty avers. We model these preferences of the investor with the help of a convex risk-measure...

We propose a measure for systemic risk: CoVaR, the value at risk (VaR) of financial institutions conditional on other institutions being in distress. We define an institution’s (marginal) contribution to systemic risk as the difference between CoVaR and the financial system’s VaR. From our...

Coherent measures of risk defined by the axioms of monotonicity, subadditivity, positive homogeneity, and translation invariance are recent tools in risk management to assess the amount of risk agents are exposed to. If they also satisfy law invariance and comonotonic additivity, then we get a...

This experimental paper investigates the impact of emotions on risk and return estimates of stocks. Participants rate well-known blue-chip firms on an emotional scale and forecast risk and return of the firms' stock. We find that positive emotions lead to a prediction of high return and low...

Liquidity problems lie at the heart of crises on financial markets as demonstrated in this paper by detailed descriptions of the stock market crash in 1987, the LTCM-crisis in 1998 and the financial market consequences of 11 September 2001. The events also demonstrate that modern central banks,...

We revisit the role of time in measuring the price impact of trades using a new empirical method that combines spread decomposition and dynamic duration modeling. Previous studies which have addressed the issue in a vector-autoregressive framework conclude that times when markets are most active...