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Song-Ping Zhu: Price connection between Parasian options with a moving window and their “fixed window” counterparts

發(fā)布時(shí)間:2026-01-21
點(diǎn)擊:
來(lái)源:數(shù)學(xué)學(xué)院

報(bào)告時(shí)間2026年1月26日(星期一)15:00-16:00

報(bào)告地點(diǎn):科教樓B座1710室

報(bào) 告 人:Song-Ping Zhu 教授

工作單位University of Wollongong

舉辦單位:數(shù)學(xué)學(xué)院

報(bào)告簡(jiǎn)介

As exotic options, Parisian and Parasian options can be very useful in determining if a bankruptcy protection should be sought. This paper untangles a price connection between Parasian options with a moving window and their seemly disconnected “fixed window” counterparts through a simple and elegant coordinate transform to the pricing PDE (Partial Differential Equation) system. As a result of our newly discovered quantitative connection between the two, not only are we able to price the former much more efficiently through the latter, we can also provide a better understanding and financial interpretation of the former in their application in finance, particularly corporate finance, as well as potentially for other derivatives of similar “window-sampling” structure such as convertible bonds with the conversion right being defined on a moving window.

報(bào)告人簡(jiǎn)介

Song-Ping Zhu教授是澳大利亞伍倫貢大學(xué)應(yīng)用數(shù)學(xué)專(zhuān)業(yè)的資深教授。他于1987年12月畢業(yè)于美國(guó)密歇根大學(xué)安娜堡分校,獲得博士學(xué)位。他在國(guó)際期刊及會(huì)議論文集上發(fā)表論文200余篇,并獲得澳大利亞研究理事會(huì)及工業(yè)界超過(guò)200萬(wàn)澳元的研究資助。其研究工作在國(guó)內(nèi)外均獲得廣泛認(rèn)可(ISI Web of Science 顯示其總引用次數(shù)超過(guò)2000次,H指數(shù)為30)。在他的教學(xué)與研究生涯中,已成功指導(dǎo)18名博士生及多名博士后。他還曾組織兩場(chǎng)國(guó)際會(huì)議,并多次受邀在國(guó)際會(huì)議上作特邀報(bào)告。

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