{"title":"布莱克-斯科尔斯方程的对称性","authors":"P. Lescot","doi":"10.4310/MAA.2012.V19.N2.A3","DOIUrl":null,"url":null,"abstract":"We determine the algebra of isovectors for the Black--Scholes equation. As a consequence, we obtain some previously unknown families of transformations on the solutions.","PeriodicalId":197400,"journal":{"name":"arXiv: Computational Finance","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Symmetries of the Black-Scholes equation\",\"authors\":\"P. Lescot\",\"doi\":\"10.4310/MAA.2012.V19.N2.A3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We determine the algebra of isovectors for the Black--Scholes equation. As a consequence, we obtain some previously unknown families of transformations on the solutions.\",\"PeriodicalId\":197400,\"journal\":{\"name\":\"arXiv: Computational Finance\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-10-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: Computational Finance\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4310/MAA.2012.V19.N2.A3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Computational Finance","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4310/MAA.2012.V19.N2.A3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We determine the algebra of isovectors for the Black--Scholes equation. As a consequence, we obtain some previously unknown families of transformations on the solutions.