{"title":"An option pricing model with double-exponential jumps in returns and GARCH diffusion in volatilities","authors":"Chunhui Qiao , Xiangwei Wan , Nian Yang","doi":"10.1016/j.orl.2025.107253","DOIUrl":null,"url":null,"abstract":"<div><div>This paper proposes a new stochastic volatility model with double-exponential jumps in returns and GARCH-type volatility diffusion for option pricing. Previously unexplored due to the lack of analytical option pricing formulas, we obtain closed-form expansions for European option prices under various volatility specifications and jump types, making model calibration feasible. Empirical studies show that this model outperforms alternatives.</div></div>","PeriodicalId":54682,"journal":{"name":"Operations Research Letters","volume":"59 ","pages":"Article 107253"},"PeriodicalIF":0.8000,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Operations Research Letters","FirstCategoryId":"91","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167637725000148","RegionNum":4,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"OPERATIONS RESEARCH & MANAGEMENT SCIENCE","Score":null,"Total":0}
引用次数: 0
Abstract
This paper proposes a new stochastic volatility model with double-exponential jumps in returns and GARCH-type volatility diffusion for option pricing. Previously unexplored due to the lack of analytical option pricing formulas, we obtain closed-form expansions for European option prices under various volatility specifications and jump types, making model calibration feasible. Empirical studies show that this model outperforms alternatives.
期刊介绍:
Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.