{"title":"Lattice Tree Methods for Strongly Path Dependent Options","authors":"Y. Kwok","doi":"10.2139/ssrn.1421736","DOIUrl":null,"url":null,"abstract":"This review article summarizes the applications of the forward shooting grid method to pricing of various types of strongly path dependent options. The forward shooting grid approach is characterized by augmenting an auxiliary state vector at each node in the usual lattice tree, which serves to capture the path dependent feature of the option. Examples of path dependent derivatives considered include the lookback options, Asian options, callable convertible bonds, and call options with strike reset feature.","PeriodicalId":40006,"journal":{"name":"Journal of Derivatives","volume":"1 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2009-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Derivatives","FirstCategoryId":"96","ListUrlMain":"https://doi.org/10.2139/ssrn.1421736","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"BUSINESS, FINANCE","Score":null,"Total":0}
引用次数: 4
Abstract
This review article summarizes the applications of the forward shooting grid method to pricing of various types of strongly path dependent options. The forward shooting grid approach is characterized by augmenting an auxiliary state vector at each node in the usual lattice tree, which serves to capture the path dependent feature of the option. Examples of path dependent derivatives considered include the lookback options, Asian options, callable convertible bonds, and call options with strike reset feature.
期刊介绍：
The Journal of Derivatives (JOD) is the leading analytical journal on derivatives, providing detailed analyses of theoretical models and how they are used in practice. JOD gives you results-oriented analysis and provides full treatment of mathematical and statistical information on derivatives products and techniques. JOD includes articles about: •The latest valuation and hedging models for derivative instruments and securities •New tools and models for financial risk management •How to apply academic derivatives theory and research to real-world problems •Illustration and rigorous analysis of key innovations in derivative securities and derivative markets
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