It is a well-known criticism that due to its exponential distribution, survey data on wealth is hardly reliable when it comes to analyzing the richest parts of society. This paper addresses this criticism using Austrian data from the Household Finance and Consumption Survey (HFCS). In doing so...

Distributions of many variables of interest in developed economic and financial markets, including income and wealth, exhibit heavy tails as in the case of Pareto or power laws. Many commonly used income and wealth inequality measures are very sensitive to extremes and outliers generated by...

We give the chaos expansion of a random variable with Pareto distribution and we analyze, by using the Malliavin calculus, the convergence in the distribution of a sequence of random variable with Pareto distribution toward the standard exponential law.

Basel II and Solvency 2 both use the Value-at Risk (VaR) as the risk measure to compute the Capital Requirements. In practice, to calibrate the VaR, a normal approximation is often chosen for the unknown distribution of the yearly log returns of financial assets. This is usually justified by the...

This paper presents a theory of how factor income shares are determined in an environment with labor market frictions and heterogeneous firms. I assume neither a specific aggregate production function nor competitive factor markets. Instead, I first develop microfoundations for an aggregate...

This article analyzes the mathematical connections between two kinds of inequality: inequality between persons (e.g., income inequality) and inequality between subgroups (e.g., racial inequality). The authors define a general inequality parameter in two-parameter continuous distributions. This...

We introduce a simple model of economy, where the time evolution is described by an equation capturing both exchange between individuals and random speculative trading, in such a way that the fundamental symmetry of the economy under an arbitrary change of monetary units is insured. We...

We study Sutton's ‘microcanonical’ model for the internal organization of firms, that leads to non-trivial scaling properties for the statistics of growth rates. We show that the growth rates are asymptotically Gaussian in this model, whereas empirical results suggest that the kurtosis of...

We present a universal mechanism for the temporal generation of power-law distributions with arbitrary integer-valued exponents.

According to previous studies that applied a popular goodness-of-fit test, the wealth of the world’s billionaires does not follow a Pareto distribution. The test applied by those studies assumes that wealth is measured without error, yet, if different sources of data on the wealthiest people...