We develop a stationary model of the aggregate stock market featuring both dividend‐paying and no‐dividend stocks within a familiar, parsimonious consumption‐based equilibrium framework. We find that such a simple feature leads to profound implications supporting several stock market empirical regularities that leading consumption‐based asset pricing models have difficulty reconciling. Namely, the presence of no‐dividend stocks in the stock market leads to a lower correlation between stock market returns and the aggregate consumption growth rate, a nonmonotonic and even negative relation between the stock market risk premium and its volatility, and a downward‐sloping term structure of equity risk premia.

We develop a dynamic model of costly stock short-selling and lending market and obtain implications that simultaneously support many empirical regularities related to short-selling. In our model, investors’ belief disagreement leads to shorting demand, whereby short-sellers pay shorting fees to borrow stocks from lenders. Our main novel results are as follows. Short interest is positively related to shorting fee and predicts stock returns negatively. Higher short-selling risk can be associated with lower stock returns and less short-selling activity. Stock volatility is increased under costly short-selling. An application to GameStop episode yields implications consistent with observed patterns.