Abstract
In the present paper we study market illiquidity as a particular source of model risk in the hedging of derivatives. We depart from the usual Black-Scholes framework, where it is assumed that option hedgers are small traders, and consider a model where the implementation of a hedging strategy affects the price of the underlying security. We derive a formula for the feedback-effect of dynamic hedging on market volatility and present a formula for the hedging error due to market illiquidity. We go on and characterize perfect hedging strategies by a nonlinear version of the Black-Scholes PDE. We relate this PDE to other models for the risk-management of derivatives under market frictions and present some simulations.
Originalsprache | Englisch |
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Titel des Sammelwerks | Model Risk |
Herausgeber*innen | Rajna Gibson |
Erscheinungsort | London |
Verlag | Risk Books |
Seiten | 125 - 138 |
ISBN (Print) | 1899332898 |
Publikationsstatus | Veröffentlicht - 1 Mai 2000 |