Higher Order Effects in Asset Pricing Models with Long‐Run Risks

This paper shows that the latest generation of asset pricing models with long‐run risk exhibit economically significant nonlinearities, and thus the ubiquitous Campbell‐Shiller log‐linearization can generate large numerical errors. These errors translate in turn to considerable errors in the model predictions, for example, for the magnitude of the equity premium or return predictability. We demonstrate that these nonlinearities arise from the presence of multiple highly persistent processes, which cause the exogenous states to attain values far away from their long‐run means with nonnegligible probability. These extreme values have a significant impact on asset price dynamics.     

The environmental burden imposed by the family's activities

Calculations of the environmental burden from a model family's consumption show that family activities associated with eating make up more than one-third of the family's total consumption of resources and discharges to the surroundings. Car transport and residential heating together also account for one-third of the family's resource consumption and discharges to the surroundings. The remaining third of resource consumption and discharges to the environment relates especially to the consumption of goods during leisure activities around the home, clothing, hygiene and health as well as cleaning.     

CREDIBILITY AND MULTIPLE EQUILIBRIA IN POLICY GAMES: A REPLY TO IRWIN

In this note we respond to Irwin's comment on Andersen and Risager(1991).