In this paper we study distributionally robust constraints on risk measures (such<br/>as standard deviation less the mean, Conditional Value-at-Risk, Entropic Value-at-Risk) of decision-dependent random variables. The uncertainty sets for the discrete probability distributions are defined using...

In this paper we estimate and interpret the factors that jointly determine bond returns of different maturities in the US, Germany and Japan.We analyze both currency-hedged and unhedged bond returns.For currency-hedged bond returns, we find that five factors explain 96.5% of the variation of...

In this paper we present a framework for backtesting all currently popular risk measurement methods (including value-at-risk and expected shortfall) using the functional delta method.Estimation risk can be taken explicitly into account.Based on a simulation study we provide evidence that tests...

Coherent risk measures have received considerable attention in the recent literature.Coherent regular risk measures form an important subclass: they are empirically identifiable, and, when combined with mean return, they are consistent with second order stochastic dominance.As a consequence,...

We empirically analyze the implementation of coherent risk measures in portfolio selection.First, we compare optimal portfolios obtained through mean-coherent risk optimization with corresponding mean-variance portfolios.We find that, even for a typical portfolio of equities, the outcomes can be...

In this paper we reconsider the pricing of options in incomplete continuous time markets.We first discuss option pricing with idiosyncratic stochastic volatility.This leads, of course, to an averaged Black-Scholes price formula.Our proof of this result uses a new formalization of idiosyncraticy...

Attitudes towards risk play a major role in many economic decisions. In empirical studies one quite often assumes that attitudes towards risk do not vary across individuals. This papers questions this assumption and analyses which factors influence an individual's risk attitude. Based on...

Household equivalence scales are not identified from consumer demand data alone. We estimate household equivalence scales using two types of subjective information. First, we use the answers to questions on the income required to attain a given utility level. This is the type of information...