{"title":"用优产率算法取代牛顿","authors":"Chris Deeley","doi":"10.2139/SSRN.1253166","DOIUrl":null,"url":null,"abstract":"Determining the yield to maturity of a coupon bond with more than four coupon periods is a two-step process. The first step uses an approximation formula to obtain a first approximation of the true yield. The second step uses an algorithm to advance the first approximation closer to the bond's true yield. Newton's Method is the algorithm used in applications such as Microsoft's Excel \"YIELD\" function. This paper evaluates some commonly used approximation formulae before demonstrating a solution algorithm that generally outperforms Newton's Method.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2008-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Superseding Newton with a Superior Yield Algorithm\",\"authors\":\"Chris Deeley\",\"doi\":\"10.2139/SSRN.1253166\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Determining the yield to maturity of a coupon bond with more than four coupon periods is a two-step process. The first step uses an approximation formula to obtain a first approximation of the true yield. The second step uses an algorithm to advance the first approximation closer to the bond's true yield. Newton's Method is the algorithm used in applications such as Microsoft's Excel \\\"YIELD\\\" function. This paper evaluates some commonly used approximation formulae before demonstrating a solution algorithm that generally outperforms Newton's Method.\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2008-08-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://doi.org/10.2139/SSRN.1253166\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"96","ListUrlMain":"https://doi.org/10.2139/SSRN.1253166","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Superseding Newton with a Superior Yield Algorithm
Determining the yield to maturity of a coupon bond with more than four coupon periods is a two-step process. The first step uses an approximation formula to obtain a first approximation of the true yield. The second step uses an algorithm to advance the first approximation closer to the bond's true yield. Newton's Method is the algorithm used in applications such as Microsoft's Excel "YIELD" function. This paper evaluates some commonly used approximation formulae before demonstrating a solution algorithm that generally outperforms Newton's Method.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.