Wealth distribution with random discount factors

The Stationary Distribution of Wealth with Random Shocks

January 2002 Abstract. A convergence model with wealth accumulation subject to i.i.d. random shocks is examined. The transfer function shows what kt+1 wealth at t + 1 would be, given kt, with no shock. It has a positive slope, but its concavity/convexity is indeterminate. The stationary distribution of wealth satis...es a Fredholm integral equation. This distribution can be examined by direct a...

Estimating Discount Factors within a Random Utility Framework

Estimating Discount Factors within a Random Utility Theoretic Framework

Choices involving tradeo¤s of bene…ts and costs over time are pervasive in our everyday lives. The observation of declining discount rates in experimental settings has led many to promote hyperbolic discounting over standard exponential discounting as the preferred descriptive model of intertemporal choice. In this paper, I develop a new framework that directly models the intertemporal utility ...

Exponential wealth distribution in a random market. A rigorous explanation

In simulations of some economic gas-like models, the asymptotic regime shows an exponential wealth distribution, independently of the initial wealth distribution given to the system. The appearance of this statistical equilibrium for this type of gas-like models is explained in a rigorous analytical way.

Performance Evaluation with Stochastic Discount Factors

We study the use of stochastic discount factor (SDF) models in evaluating the investment performance of portfolio managers. By constructing artificial mutual funds with known levels of investment ability, we evaluate a large set of SDF models. We find that the measures of performance are not highly sensitive to the SDF model, and that most of the models have a mild negative bias when performanc...