We present a self-consistent model for explosive financial bubbles, which combines a mean-reverting volatility process and a stochastic conditional return which reflects nonlinear positive feedbacks and continuous updates of the investors' beliefs and sentiments. The conditional expected returns...

We demonstrate, using data for the period 1954-2003, that differences in exposure to consumption risk explains cross sectional differences in average excess returns (cost of equity capital) across the 25 benchmark equity portfolios constructed by Fama and French (1993). We use yearly returns on...