{"title":"通用市场模型中的有效希腊估计","authors":"M. Joshi, Chao Yang","doi":"10.2139/ssrn.1437847","DOIUrl":null,"url":null,"abstract":"We first develop an efficient algorithm to compute Deltas of interest rate derivatives for a number of standard market models. The computational complexity of the algorithms is shown to be proportional to the number of rates times the number of factors per step. We then show how to extend the method to efficiently compute Vegas in those market models.","PeriodicalId":40006,"journal":{"name":"Journal of Derivatives","volume":"29 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2009-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Efficient Greek Estimation in Generic Market Models\",\"authors\":\"M. Joshi, Chao Yang\",\"doi\":\"10.2139/ssrn.1437847\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We first develop an efficient algorithm to compute Deltas of interest rate derivatives for a number of standard market models. The computational complexity of the algorithms is shown to be proportional to the number of rates times the number of factors per step. We then show how to extend the method to efficiently compute Vegas in those market models.\",\"PeriodicalId\":40006,\"journal\":{\"name\":\"Journal of Derivatives\",\"volume\":\"29 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2009-07-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Derivatives\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://doi.org/10.2139/ssrn.1437847\",\"RegionNum\":4,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"BUSINESS, FINANCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Derivatives","FirstCategoryId":"96","ListUrlMain":"https://doi.org/10.2139/ssrn.1437847","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"BUSINESS, FINANCE","Score":null,"Total":0}
Efficient Greek Estimation in Generic Market Models
We first develop an efficient algorithm to compute Deltas of interest rate derivatives for a number of standard market models. The computational complexity of the algorithms is shown to be proportional to the number of rates times the number of factors per step. We then show how to extend the method to efficiently compute Vegas in those market models.
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