{"title":"稳健价差期权定价","authors":"I. Kolpakov","doi":"10.2139/ssrn.2404507","DOIUrl":null,"url":null,"abstract":"I examine accuracy and robustness of European spread option pricing method of Hurd and Zhou (2010) for European spread options. This method approximates an indefinite bivariate integral by a sum over a uniform grid and the method's accuracy varies greatly depending on the choice of truncation bounds and the number of grid points. I find optimal parameters for a realistic sample of spread options and show that the pricing procedure can be made both faster and more robust by using a technique suggested in Andersen and Andreasen (2002), namely approximating the true distribution of log returns with a normal one and integrating the payoff transform against the difference of exact and approximating transforms.","PeriodicalId":177064,"journal":{"name":"ERN: Other Econometric Modeling: Derivatives (Topic)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Robust Spread Option Pricing\",\"authors\":\"I. Kolpakov\",\"doi\":\"10.2139/ssrn.2404507\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"I examine accuracy and robustness of European spread option pricing method of Hurd and Zhou (2010) for European spread options. This method approximates an indefinite bivariate integral by a sum over a uniform grid and the method's accuracy varies greatly depending on the choice of truncation bounds and the number of grid points. I find optimal parameters for a realistic sample of spread options and show that the pricing procedure can be made both faster and more robust by using a technique suggested in Andersen and Andreasen (2002), namely approximating the true distribution of log returns with a normal one and integrating the payoff transform against the difference of exact and approximating transforms.\",\"PeriodicalId\":177064,\"journal\":{\"name\":\"ERN: Other Econometric Modeling: Derivatives (Topic)\",\"volume\":\"2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-07-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ERN: Other Econometric Modeling: Derivatives (Topic)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2139/ssrn.2404507\",\"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.2404507","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
I examine accuracy and robustness of European spread option pricing method of Hurd and Zhou (2010) for European spread options. This method approximates an indefinite bivariate integral by a sum over a uniform grid and the method's accuracy varies greatly depending on the choice of truncation bounds and the number of grid points. I find optimal parameters for a realistic sample of spread options and show that the pricing procedure can be made both faster and more robust by using a technique suggested in Andersen and Andreasen (2002), namely approximating the true distribution of log returns with a normal one and integrating the payoff transform against the difference of exact and approximating transforms.