ON FEEDBACK EFFECTS FROM HEDGING DERIVATIVES

Citation
E. Platen et M. Schweizer, ON FEEDBACK EFFECTS FROM HEDGING DERIVATIVES, Mathematical finance, 8(1), 1998, pp. 67-84
Citations number
43
Categorie Soggetti
Business Finance","Social Sciences, Mathematical Methods",Economics,Mathematics,Mathematics
Journal title
ISSN journal
09601627
Volume
8
Issue
1
Year of publication
1998
Pages
67 - 84
Database
ISI
SICI code
0960-1627(1998)8:1<67:OFEFHD>2.0.ZU;2-5
Abstract
This paper proposes a new explanation for the smile and skewness effec ts in implied volatilities. Starting from a microeconomic equilibrium approach, we develop a diffusion model for stock prices explicitly inc orporating the technical demand induced by hedging strategies. This le ads to a stochastic volatility endogenously determined by agents' trad ing behavior. By using numerical methods for stochastic differential e quations, we quantitatively substantiate the idea that option price di stortions can be induced by feedback effects from hedging strategies.