We study the effect of parameter uncertainty on the long-run risk for three asset classes: stocks, bills and bonds.Using a Bayesian vector autoregression with an uninformative prior we find that parameter uncertainty raises theannualized long-run volatilities of all three asset classes proportionally with the same factor relative to volatilitiesthat are conditional on maximum likelihood parameter estimates. As a result, the horizon effect in optimal assetallocations is much weaker compared to models in which only equity returns are subject to parameter uncertainty.Results are sensitive to alternative informative priors, but generally the term structure of risk for stocks and bonds isrelatively flat for investment horizons up to 15 years. Copyright © 2013 John Wiley & Sons, Ltd.