{"title":"亚洲期权定价的随机扩展","authors":"Fabien Le Floc'h","doi":"arxiv-2402.17684","DOIUrl":null,"url":null,"abstract":"We present closed analytical approximations for the pricing of Asian options\nwith discrete averaging under the Black-Scholes model with time-dependent\nparameters. The formulae are obtained by using a stochastic Taylor expansion\naround a log-normal proxy model and are found to be highly accurate in\npractice.","PeriodicalId":501355,"journal":{"name":"arXiv - QuantFin - Pricing of Securities","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stochastic expansion for the pricing of Asian options\",\"authors\":\"Fabien Le Floc'h\",\"doi\":\"arxiv-2402.17684\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present closed analytical approximations for the pricing of Asian options\\nwith discrete averaging under the Black-Scholes model with time-dependent\\nparameters. The formulae are obtained by using a stochastic Taylor expansion\\naround a log-normal proxy model and are found to be highly accurate in\\npractice.\",\"PeriodicalId\":501355,\"journal\":{\"name\":\"arXiv - QuantFin - Pricing of Securities\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-02-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - QuantFin - Pricing of Securities\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2402.17684\",\"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 - QuantFin - Pricing of Securities","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2402.17684","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stochastic expansion for the pricing of Asian options
We present closed analytical approximations for the pricing of Asian options
with discrete averaging under the Black-Scholes model with time-dependent
parameters. The formulae are obtained by using a stochastic Taylor expansion
around a log-normal proxy model and are found to be highly accurate in
practice.