In long-term US stock market data the price-dividend ratio strongly predicts future in ‡ation with a positive slope coe¢ cient up to the mid 1970s. Thereafter, the predictability turns negative. We argue that this phenomenon re ‡ects money illusion that disappears during the 1970s. We develop a consumption-based asset pricing model with recursive preferences and either money illusion or in ‡ation nonneutrality that can explain the predictive patterns. The model is also consistent with a structural shift around the mid 1970s in the real interest rate -in ‡ation relationship, thus supporting the hypothesis of disappearing money illusion at that time.JEL Classi…cation: C22, E31, E44, G12, G17