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...

We explore the emissions income relationship for CO2 in OECD countries using various modelling strategies.Even for this relatively homogeneous sample, we find that the inverted-U-shaped curve is quite sensitive to the degree of heterogeneity included in the panel estimations.This finding is...

A new semiparametric estimator for the censored regression panel data model with fixed effects is introduced. It is based upon an estimator proposed by Honore for the case of two time periods combined with ideas of Newey to improve the efficiency. The estimator is more efficient than Honore's...

Empirical implementation of labour supply theories is usually based on realized labour market behaviour. This requires strong assumptions about the impact of labour demand. A possibility to avoid these assumptions is to make use of subjective data on desired labour supply. In this paper we...