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Optimal partial hedging of options with small transaction costs
Author(s) -
Whalley A. Elizabeth
Publication year - 2011
Publication title -
journal of futures markets
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.88
H-Index - 55
eISSN - 1096-9934
pISSN - 0270-7314
DOI - 10.1002/fut.20498
Subject(s) - hedge , transaction cost , asset (computer security) , position (finance) , economics , econometrics , value (mathematics) , basis risk , call option , market neutral , database transaction , financial economics , actuarial science , microeconomics , capital asset pricing model , mathematics , computer science , finance , statistics , portfolio , ecology , computer security , biology , programming language
This study uses asymptotic analysis to derive optimal hedging strategies for option portfolios hedged using an imperfectly correlated hedging asset with small fixed and/or proportional transaction costs, obtaining explicit formulae in special cases. This is of use when it is impractical to hedge using the underlying asset itself. The hedging strategy holds a position in the hedging asset whose value lies between two bounds, which are independent of the hedging asset's current value. For low absolute correlation between hedging and hedged assets, highly risk‐averse investors and large portfolios, hedging strategies and option values differ significantly from their perfect market equivalents. © 2011 Wiley Periodicals, Inc. Jrl Fut Mark 31:855–897, 2011