
 
Author: 
Christopeit, Norbert
Title:  On the Approximation of Random Variables by Stochastic Integrals with 
Respect to Semimartingales
Abstract:  In this paper it is shown that the space of stochastic integrals  
w.r. to a special semimartingal is closed and hence every square integrable 
random variable admits a best approximation in this space. In terms of 
financial economics this means that for every contingent claim there exists 
a hedging strategy minimizing the expected square of net loss.
Keywords:  stochastic integration, hedging, incomplete 
markets
JEL-Classification-Number:  G11, G13
Creation-Date:  April 1994
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