Quanto options and mixture exponential jump-diffusions

来源 :IMS-China International Conference on Statistics and Probabi | 被引量 : 0次 | 上传用户:liongliong570
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
  A foreign equity option (or quanto option) is a derivatives security whose value depends on an exchange rate and a foreign equity.In this talk, the valuation of quanto options is studied when the foreign equity prices and the exchange rates follow double exponential jump diffusions (DEJD).Traditionally, it is assumed that the diffusion parts of the two assets are correlated but the Poisson processes and the jump sizes arc indepcndcnt across assets.In particular, the two undcrlying assets arc allowed to have common jumps and dependent jump sizes.The jump sizes are modelled by the multivariate exponential distribution of Marshall and Olkin (1967).Analytical pricing formulas arc obtained for various types of quanto options.When the exchange rate and foreign asset evovle as DEJD, it is shown that the domestic equivalent asset follows a mixture exponential jump diffusion (MEJD).Laplace transforms of various forms under MEJD are derived and the corresponding Laplace inversions arc implemented.The proposed apporach is applied to options on two assets such as the quanto options and path-dependent options under ME;ID.Numerical results demonstrate the usefulness of the proposed approach.
其他文献
  The initial value problem for hyperbolic integrable systems are frequently given on a finite or semi-infinite interval.In these cases, simplifications to th
会议
  The short pulse (SP) equation was proposed as a model nonlinear equation describing the propagation of ultra-short optical pulses in nonlinear media [1].Ori
会议
会议
会议
会议
会议
会议
会议
  To enhance the effectiveness of a quality management system in a university, an on-time analysis and monitoring of an internal quality assessment result is
会议
会议