Economic Quarterly

Fall 1998

Fisher's Equation and the Inflation Risk Premium in a Simple Endowment Economy

Pierre-Daniel G. Sarte

It is well known that when inflation is stochastic, Fisher's theoretical equation, according to which the nominal interest rate is the sum of the real rate and the expected inflation rate, fails to hold. Under stochastic inflation, the Fisher equation must be amended to include a compensation for inflation risk: the inflation risk premium. Consequently, this article uses a simple consumption-based asset pricing model to investigate the significance of the inflation risk premium. Given the relationship between U.S. consumption growth and inflation, we find that historical estimates of the inflation risk premium are inconsequential. This result emerges because inflation surprises and unexpected movements in consumption growth exhibit little covariation in U.S. data. Moreover, using two different preference specifications, we also show that this result is quite unrelated to the notion that the equity risk premium is generally small in consumption-based asset pricing models.

Our Research Focus: Inflation and Monetary Policy

Contact Us


Lisa Kenney
(804) 697-8179

Publications image
Get Our Free Publications

To receive a notification by email when Economic Quarterly is posted online or to order single copies of past issues, click on the links below (published online only since 2012).