[We examine intertemporal asset pricing when short sales are constrained in proportion to the value of an investor's portfolio. All assets' prices exceed every investor's marginal utility of consumption-based valuation of the associated dividends if every investor finds himself constrained in some asset in some state; we exhibit such an equilibrium. An asset's price decomposes into three (investor-specific) components: the consumption value of its dividends, a speculative value premium, and a collateral value premium. The validity of the no-arbitrage pricing approach is shown to depend critically on the difference between real securities and their synthetic counterparts.]

We examine intertemporal asset pricing when short sales are constrained in proportion to the value of an investor’s portfolio. All assets’ prices exceed every investor’s marginal utility of consumption-based valuation of the associated dividends if every investor finds himself constrained in some asset in some state; we exhibit such an equilibrium. An asset’s price decomposes into three (investor-specific) components: the consumption value of its dividends, a speculative value premium, and a collateral value premium. The validity of the no-arbitrage pricing approach is shown to depend critically on the difference between real securities and their synthetic counterparts.