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TitleState-dependent jump risks for American gold futures option pricing
Creator廖四郎
Lian, Yu-Min;Liao, Szu-Lang;Chen, Jun-Home
Contributor金融系
Key WordsState-dependent jump risk; American gold futures option; Merton measure; Esscher transform; Least-squares Monte Carlo method
Date2015-07
Date Issued14-Mar-2016 16:01:03 (UTC+8)
SummaryIn this study, we investigate the valuation of American-style options when the underlying gold futures price follows a pure diffusion structure with state-dependent jump dynamics. Under such dynamics, the jump events are described as a compound Poisson process with a log-normal jump amplitude, and the regime-switching arrival intensity is captured by a hidden Markov chain whose states represent the economic states. Considering the different jump risk assumptions, we use the Merton measure and Esscher transform to derive risk-neutral gold futures price dynamics under an incomplete market setting. To achieve a desired accuracy level, the least-squares Monte Carlo method is used to approximate the values of American gold futures options. Our empirical and numerical results based on actual market data are provided to illustrate the importance of incorporating state-dependent jump risks when pricing American put options on gold futures.
RelationThe North American Journal of Economics and Finance,33,115-133
Typearticle
DOI http://dx.doi.org/10.1016/j.najef.2015.04.001
dc.contributor 金融系
dc.creator (作者) 廖四郎zh_TW
dc.creator (作者) Lian, Yu-Min;Liao, Szu-Lang;Chen, Jun-Home
dc.date (日期) 2015-07
dc.date.accessioned 14-Mar-2016 16:01:03 (UTC+8)-
dc.date.available 14-Mar-2016 16:01:03 (UTC+8)-
dc.date.issued (上傳時間) 14-Mar-2016 16:01:03 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/82599-
dc.description.abstract (摘要) In this study, we investigate the valuation of American-style options when the underlying gold futures price follows a pure diffusion structure with state-dependent jump dynamics. Under such dynamics, the jump events are described as a compound Poisson process with a log-normal jump amplitude, and the regime-switching arrival intensity is captured by a hidden Markov chain whose states represent the economic states. Considering the different jump risk assumptions, we use the Merton measure and Esscher transform to derive risk-neutral gold futures price dynamics under an incomplete market setting. To achieve a desired accuracy level, the least-squares Monte Carlo method is used to approximate the values of American gold futures options. Our empirical and numerical results based on actual market data are provided to illustrate the importance of incorporating state-dependent jump risks when pricing American put options on gold futures.
dc.format.extent 794911 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) The North American Journal of Economics and Finance,33,115-133
dc.subject (關鍵詞) State-dependent jump risk; American gold futures option; Merton measure; Esscher transform; Least-squares Monte Carlo method
dc.title (題名) State-dependent jump risks for American gold futures option pricing
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1016/j.najef.2015.04.001
dc.doi.uri (DOI) http://dx.doi.org/10.1016/j.najef.2015.04.001 en_US