J. Detemple et S. Murthy, EQUILIBRIUM ASSET PRICES AND NO-ARBITRAGE WITH PORTFOLIO CONSTRAINTS, The Review of financial studies, 10(4), 1997, pp. 1133-1174
We examine intertemporal asset pricing when short sales are constraine
d in proportion to the value of an investor's portfolio. All assets' p
rices exceed every investor's marginal utility of consumption-based va
luation of the associated dividends if every investor finds himself co
nstrained 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 prici
ng approach is shown to depend critically, on the difference between r
eal securities and their synthetic counterparts.