{"title":"功能跃迁扩散的费曼-卡克(Feynman Kac)与信用值调整的应用","authors":"Eduard Kromer, L. Overbeck, J. Röder","doi":"10.2139/ssrn.2500782","DOIUrl":null,"url":null,"abstract":"We provide a proof for the functional Feynman–Kac theorem for jump diffusions with path-dependent coefficients and apply our results to the problem of Credit Value Adjustment (CVA) in a bilateral counterparty risk framework. We derive the corresponding functional CVA-PIDE and extend existing results on CVA to a setting which enables the pricing of path-dependent derivatives.","PeriodicalId":177064,"journal":{"name":"ERN: Other Econometric Modeling: Derivatives (Topic)","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":"{\"title\":\"Feynman Kac for Functional Jump Diffusions with an Application to Credit Value Adjustment\",\"authors\":\"Eduard Kromer, L. Overbeck, J. Röder\",\"doi\":\"10.2139/ssrn.2500782\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We provide a proof for the functional Feynman–Kac theorem for jump diffusions with path-dependent coefficients and apply our results to the problem of Credit Value Adjustment (CVA) in a bilateral counterparty risk framework. We derive the corresponding functional CVA-PIDE and extend existing results on CVA to a setting which enables the pricing of path-dependent derivatives.\",\"PeriodicalId\":177064,\"journal\":{\"name\":\"ERN: Other Econometric Modeling: Derivatives (Topic)\",\"volume\":\"11 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-06-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"14\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ERN: Other Econometric Modeling: Derivatives (Topic)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2139/ssrn.2500782\",\"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.2500782","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Feynman Kac for Functional Jump Diffusions with an Application to Credit Value Adjustment
We provide a proof for the functional Feynman–Kac theorem for jump diffusions with path-dependent coefficients and apply our results to the problem of Credit Value Adjustment (CVA) in a bilateral counterparty risk framework. We derive the corresponding functional CVA-PIDE and extend existing results on CVA to a setting which enables the pricing of path-dependent derivatives.