{"title":"Black-Karasinski模型中的分析性互换定价","authors":"C. Turfus","doi":"10.2139/ssrn.3253866","DOIUrl":null,"url":null,"abstract":"We present a Green's function solution to the Black-Karasinski (lognormal) short rate model as a perturbation expansion valid in the limit of small deviations of the rates from the forward curve. We use this to derive analytic formulae for the prices of European swaptions to second order accuracy.","PeriodicalId":177064,"journal":{"name":"ERN: Other Econometric Modeling: Derivatives (Topic)","volume":"48 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Analytic Swaption Pricing in the Black-Karasinski Model\",\"authors\":\"C. Turfus\",\"doi\":\"10.2139/ssrn.3253866\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a Green's function solution to the Black-Karasinski (lognormal) short rate model as a perturbation expansion valid in the limit of small deviations of the rates from the forward curve. We use this to derive analytic formulae for the prices of European swaptions to second order accuracy.\",\"PeriodicalId\":177064,\"journal\":{\"name\":\"ERN: Other Econometric Modeling: Derivatives (Topic)\",\"volume\":\"48 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-09-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ERN: Other Econometric Modeling: Derivatives (Topic)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2139/ssrn.3253866\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ERN: Other Econometric Modeling: Derivatives (Topic)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.3253866","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analytic Swaption Pricing in the Black-Karasinski Model
We present a Green's function solution to the Black-Karasinski (lognormal) short rate model as a perturbation expansion valid in the limit of small deviations of the rates from the forward curve. We use this to derive analytic formulae for the prices of European swaptions to second order accuracy.