Replication Methods in the Pricing and Hedging of Barrier Options
AbstractThis paper considers various options replication methods. Firstly, a specific type of barrier option, an up-and-out call, is considered. Other barrier options are briefly also described, and various types of barriers are considered. Secondly, a general definition of replication methods is provided. Two methods are thus examined in detail: The first one, based on ever-changing positions in replicating portfolio, is referred to as a dynamic replication method. The second one is denoted as a static replication method ? its aim is to create a static basket of simple assets that will replicate the option payoff. However, in the real world it is difficult to attain perfect replication; therefore, the expected replication error of both methods is studied via simulation technique.
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Bibliographic InfoArticle provided by Charles University Prague, Faculty of Social Sciences in its journal Finance a uver - Czech Journal of Economics and Finance.
Volume (Year): 54 (2004)
Issue (Month): 7-8 (July)
Options; barrier options; replication methods; dynamic and static replication; replication error;
Find related papers by JEL classification:
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
- G20 - Financial Economics - - Financial Institutions and Services - - - General
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
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