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Weak Convergence of Hedging Strategies of Contingent Claims

Jean-Luc Prigent and Olivier Scaillet

FAME Research Paper Series from International Center for Financial Asset Management and Engineering

Abstract: This paper presents results on the convergence for hedging strategies in the setting of incomplete financial markets. We examine the convergence of the so-called locally risk-minimizing strategy. It is proved that such a choice for the trading strategy, when perfect hedging of contingent claims is infeasible, is robust under weak convergence. Several fundamental examples, such as trinomial trees and stochastic volatility models, extracted from the financial modeling literature illustrate this property for both deterministic and random time intervals shrinking to zero.

Keywords: Weak convergence; Incomplete financial markets; Locally risk-minimizing strategy; Hedging strategy; Minimal martingale measure (search for similar items in EconPapers)
Date: 2002-01
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Citations: View citations in EconPapers (5)

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Working Paper: Weak Convergence of Hedging Strategies of Contingent Claims (2000) Downloads
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