José Carlos Dias, João Pedro Vidal Nunes, Fernando Correia da Silva
{"title":"关于连续流动、无套利关系和最优投资的上限、下限、领价和交易所期权的新分析表示法","authors":"José Carlos Dias, João Pedro Vidal Nunes, Fernando Correia da Silva","doi":"10.1002/fut.22549","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>We offer analytic formulae for valuing finite maturity profit caps and floors that are contingent on continuous flows without the need for subtracting the risk-neutral expectation of the forward starting perpetual solution from the corresponding perpetual solution. The related price caps, floors, and collars are easily obtained from any analytic representation of profit caps and floors using some arbitrage-free relations. Finally, we offer two novel methods for calculating the optimal triggers of investment projects in the presence of price floors and collars regimes in a way that is much simpler than the ones currently used.</p>\n </div>","PeriodicalId":15863,"journal":{"name":"Journal of Futures Markets","volume":"44 12","pages":"1869-1887"},"PeriodicalIF":1.8000,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Novel Analytic Representations for Caps, Floors, Collars, and Exchange Options on Continuous Flows, Arbitrage-Free Relations, and Optimal Investments\",\"authors\":\"José Carlos Dias, João Pedro Vidal Nunes, Fernando Correia da Silva\",\"doi\":\"10.1002/fut.22549\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div>\\n \\n <p>We offer analytic formulae for valuing finite maturity profit caps and floors that are contingent on continuous flows without the need for subtracting the risk-neutral expectation of the forward starting perpetual solution from the corresponding perpetual solution. The related price caps, floors, and collars are easily obtained from any analytic representation of profit caps and floors using some arbitrage-free relations. Finally, we offer two novel methods for calculating the optimal triggers of investment projects in the presence of price floors and collars regimes in a way that is much simpler than the ones currently used.</p>\\n </div>\",\"PeriodicalId\":15863,\"journal\":{\"name\":\"Journal of Futures Markets\",\"volume\":\"44 12\",\"pages\":\"1869-1887\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2024-08-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Futures Markets\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/fut.22549\",\"RegionNum\":4,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"BUSINESS, FINANCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Futures Markets","FirstCategoryId":"96","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/fut.22549","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"BUSINESS, FINANCE","Score":null,"Total":0}
Novel Analytic Representations for Caps, Floors, Collars, and Exchange Options on Continuous Flows, Arbitrage-Free Relations, and Optimal Investments
We offer analytic formulae for valuing finite maturity profit caps and floors that are contingent on continuous flows without the need for subtracting the risk-neutral expectation of the forward starting perpetual solution from the corresponding perpetual solution. The related price caps, floors, and collars are easily obtained from any analytic representation of profit caps and floors using some arbitrage-free relations. Finally, we offer two novel methods for calculating the optimal triggers of investment projects in the presence of price floors and collars regimes in a way that is much simpler than the ones currently used.
期刊介绍:
The Journal of Futures Markets chronicles the latest developments in financial futures and derivatives. It publishes timely, innovative articles written by leading finance academics and professionals. Coverage ranges from the highly practical to theoretical topics that include futures, derivatives, risk management and control, financial engineering, new financial instruments, hedging strategies, analysis of trading systems, legal, accounting, and regulatory issues, and portfolio optimization. This publication contains the very latest research from the top experts.