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  • 标题:Pricing Bitcoin under Double Exponential Jump-Diffusion Model with Asymmetric Jumps Stochastic Volatility
  • 本地全文:下载
  • 作者:Ndeye Fatou Sene ; Mamadou Abdoulaye Konte ; Jane Aduda
  • 期刊名称:Journal of Mathematical Finance
  • 印刷版ISSN:2162-2434
  • 电子版ISSN:2162-2442
  • 出版年度:2021
  • 卷号:11
  • 期号:2
  • 页码:313-330
  • DOI:10.4236/jmf.2021.112018
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:The objective of this study is, to show the importance of incorporating jumps in both returns and volatility dynamics for Bitcoin. For that purpose, we introduce the Double Exponential Jump-Diffusion model with Stochastic Volatility (DEJDSVJ) that contains asymmetric jumps. The use of the Markov Chain Monte Carlo methods for estimation has proved the meaningful presence of jumps in Bitcoin price and volatility. Moreover, based on the Bitcoin options market, a comparison between the underlying model, the Double Exponential Jump Diffusion model (DEJD) with Stochastic Volatility (no Jumps) and the Stochastic Volatility (SV) shows the goodness of the DEJDSVJ model’s calibration over others for pricing Bitcoin options.
  • 关键词:Bitcoin;Double Exponential Jump-Diffusion;Stochastic Volatility;Markov Chain Monte Carlo
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