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THE EFFECT OF TRADING FUTURES ON SHORT SALE CONSTRAINTS
Authors:Robert Jarrow  Philip Protter  Sergio Pulido
Institution:1. Cornell University;2. Columbia University;3. Carnegie Mellon University
Abstract:It is commonly believed that the trading of futures on a commodity enables the market to overcome short selling constraints on the spot commodity itself. This belief is embedded in the notion that trading strategies involving futures contracts enable traders to replicate the payoffs as if they were short the spot commodity. The purpose of this paper is to investigate this common belief in a general arbitrage‐free semimartingale financial model with trading in futures and a short selling prohibition on the spot commodity. We show via various examples that, in general, this common belief is incorrect. Furthermore, we provide a set of sufficient conditions, albeit very restrictive, under which the common belief is true.
Keywords:short sale constraints  futures contracts  futures prices  complete markets  martingale representation  supermartingale measures  overpricing hypothesis  bubbles
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