{"title":"折现模型","authors":"Damir Filipović","doi":"10.1007/s00780-023-00514-0","DOIUrl":null,"url":null,"abstract":"Abstract Discount is the difference between the face value of a bond and its present value. We propose an arbitrage-free dynamic framework for discount models, which provides an alternative to the Heath–Jarrow–Morton framework for forward rates. We derive general consistency conditions for factor models, and discuss affine term structure models in particular. There are several open problems, and we outline possible directions for further research.","PeriodicalId":50447,"journal":{"name":"Finance and Stochastics","volume":"36 1","pages":"0"},"PeriodicalIF":1.1000,"publicationDate":"2023-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Discount models\",\"authors\":\"Damir Filipović\",\"doi\":\"10.1007/s00780-023-00514-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Discount is the difference between the face value of a bond and its present value. We propose an arbitrage-free dynamic framework for discount models, which provides an alternative to the Heath–Jarrow–Morton framework for forward rates. We derive general consistency conditions for factor models, and discuss affine term structure models in particular. There are several open problems, and we outline possible directions for further research.\",\"PeriodicalId\":50447,\"journal\":{\"name\":\"Finance and Stochastics\",\"volume\":\"36 1\",\"pages\":\"0\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2023-09-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Finance and Stochastics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s00780-023-00514-0\",\"RegionNum\":2,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"BUSINESS, FINANCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Finance and Stochastics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s00780-023-00514-0","RegionNum":2,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"BUSINESS, FINANCE","Score":null,"Total":0}
Abstract Discount is the difference between the face value of a bond and its present value. We propose an arbitrage-free dynamic framework for discount models, which provides an alternative to the Heath–Jarrow–Morton framework for forward rates. We derive general consistency conditions for factor models, and discuss affine term structure models in particular. There are several open problems, and we outline possible directions for further research.
期刊介绍:
The purpose of Finance and Stochastics is to provide a high standard publication forum for research
- in all areas of finance based on stochastic methods
- on specific topics in mathematics (in particular probability theory, statistics and stochastic analysis) motivated by the analysis of problems in finance.
Finance and Stochastics encompasses - but is not limited to - the following fields:
- theory and analysis of financial markets
- continuous time finance
- derivatives research
- insurance in relation to finance
- portfolio selection
- credit and market risks
- term structure models
- statistical and empirical financial studies based on advanced stochastic methods
- numerical and stochastic solution techniques for problems in finance
- intertemporal economics, uncertainty and information in relation to finance.