We provide a simple binomial framework to value American-style derivatives subject to trading restrictions. The optimal investment of liquid wealth is solved simultaneously with the early exercise decision of the nontraded derivative. No-short-sales constraints on the underlying asset manifest...

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...

We develop lower and upper bounds on the prices of American call and put options written on a dividend-paying asset. We provide two option price approximations, one based on the lower bound (termed LBA) and one based on both bounds (termed LUBA). The LUBA approximation has an average accuracy...

This article addresses the problem of valuing American call options with caps on dividend paying assets. Since early exercise is allowed, the valuation problem requires the determination of optimal exercise policies. Options with two types of caps are analyzed: constant caps and caps with a...