Risk-Minimizing Hedging Strategies Under Restricted Information
We construct risk-minimizing hedging strategies in the case where there are restrictions on the available information. the underlying price process is a "d"-dimensional F-martingale, and strategies &phis;= (ϑ, η) are constrained to have η G-predictable and η G'-adapted for filtrations η G C G'C F. We show that there exists a unique (ηG, G')-risk-minimizing strategy for every contingent claim H ε E 𝓎-super-2 (𝓎 T , "P") and provide an explicit expression in terms of η G-predictable dual projections. Previous results of Föllmer and Sondermann (1986) and Di Masi, Platen, and Runggaldier (1993) are recovered as special cases. Examples include a Black-Scholes model with delayed information and a jump process model with discrete observations. Copyright 1994 Blackwell Publishers.
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Volume (Year): 4 (1994)
Issue (Month): 4 ()
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