2000/01/01 by Klaus Pötzelberger, Pötzelberger, Klaus, Leopold Sögner +1
Economics, Econometrics and Finance · #Complex Systems and Time Series Analysis #Economic theories and models #Financial Markets and Investment Strategies
paper · doi:10.57938/7a61ca81-2a70-4009-8993-0b024c344a48
openalex publication_date 2000/01/01 · openalex created_date 2021/02/01 · openalex updated_date 2026/07/23
This article considers three standard asset pricing models with adaptive agents and stochastic dividends. The models only differ in the parameters to be estimated. We assume that only limited information is used to construct estimators. Therefore, parameters are not estimated consistently. More precisely, we assume that the parameters are estimated by exponential smoothing, where past parameters are down-weighted and the weight of recent observations does not decrease with time. This situation is familiar for applications in finance. Even if time series of volatile stocks or bonds are available for a long time, only recent data is used in the analysis. In this situation the prices do not converge and remain a random variable. This raises the question how to describe equilibrium behavior with stochastic prices. However, prices can reveal properties such as ergodicity, such that the law of the price process converges to a stationary law, which provides a natural and useful extension of the idea of equilibrium behavior of an economic system for a stochastic setup. It is this implied law of the price process that we investigate in this paper. We provide conditions for the ergodicity and analyze the stationary distribution.