{"title":"商品市场中的套期保值策略——虚拟电厂的滚动内在和增量套期保值","authors":"Richard Biegler-König","doi":"10.1080/1350486X.2021.1898998","DOIUrl":null,"url":null,"abstract":"ABSTRACT Hedging on commodity markets is usually done by applying either the rolling intrinsic strategy or the canonical delta hedge strategy. In this paper we introduce, compare and discuss both hedging strategies in the context of virtual power plants (VPP). We formulate the precise relationship of the two strategies mathematically. Our main result is that they are not only very similar regarding hedge construction but also that both strategies are equal in expectation. The proof involves some stochastic calculus and the Brownian local time. We illustrate our findings with simulated data as well as in prototypical market scenarios. These studies show that the rolling intrinsic hedge comes with a riskier profile than the delta hedge.","PeriodicalId":35818,"journal":{"name":"Applied Mathematical Finance","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Hedging Strategies in Commodity Markets – Rolling Intrinsic and Delta Hedging for Virtual Power Plants\",\"authors\":\"Richard Biegler-König\",\"doi\":\"10.1080/1350486X.2021.1898998\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACT Hedging on commodity markets is usually done by applying either the rolling intrinsic strategy or the canonical delta hedge strategy. In this paper we introduce, compare and discuss both hedging strategies in the context of virtual power plants (VPP). We formulate the precise relationship of the two strategies mathematically. Our main result is that they are not only very similar regarding hedge construction but also that both strategies are equal in expectation. The proof involves some stochastic calculus and the Brownian local time. We illustrate our findings with simulated data as well as in prototypical market scenarios. These studies show that the rolling intrinsic hedge comes with a riskier profile than the delta hedge.\",\"PeriodicalId\":35818,\"journal\":{\"name\":\"Applied Mathematical Finance\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematical Finance\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/1350486X.2021.1898998\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematical Finance","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/1350486X.2021.1898998","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
Hedging Strategies in Commodity Markets – Rolling Intrinsic and Delta Hedging for Virtual Power Plants
ABSTRACT Hedging on commodity markets is usually done by applying either the rolling intrinsic strategy or the canonical delta hedge strategy. In this paper we introduce, compare and discuss both hedging strategies in the context of virtual power plants (VPP). We formulate the precise relationship of the two strategies mathematically. Our main result is that they are not only very similar regarding hedge construction but also that both strategies are equal in expectation. The proof involves some stochastic calculus and the Brownian local time. We illustrate our findings with simulated data as well as in prototypical market scenarios. These studies show that the rolling intrinsic hedge comes with a riskier profile than the delta hedge.
期刊介绍:
The journal encourages the confident use of applied mathematics and mathematical modelling in finance. The journal publishes papers on the following: •modelling of financial and economic primitives (interest rates, asset prices etc); •modelling market behaviour; •modelling market imperfections; •pricing of financial derivative securities; •hedging strategies; •numerical methods; •financial engineering.