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第14回諸分野のための数学研究会 (北大数学COE協賛)

Seminar on Mathematics for various disciplines

Contents

Program

日  時:
2007年4月11日(水) 10:30-11:30
場  所:
東京大学大学院 数理科学研究科056号室
※会場へのアクセスは下記にてご確認下さい。
駒場アクセスマップ
http://www.u-tokyo.ac.jp/campusmap/map02_02_j.html
駒場キャンパス数理科学研究科棟
http://www.u-tokyo.ac.jp/campusmap/cam02_01_27_j.html
組織委員:
石村直之 (一橋大学)
儀我美一 (東京大学/北海道大学)
プログラム:
C. W. Oosterle(Delft University of Technology)
The numerical treatment of pricing early exercise options under L'evy processe
ABSTRACT:
In this presentation we will discuss the pricing of American and Bermudan options under L'evy process dynamics. Two different approaches will be discussed: First of all, modelling with differential operators gives rise to the numerical solution of a partial-integro differential equation for obtaining European option prices. For American prices a linear complementarity problem with the partial integro-differential operator needs to be solved. We outline the difficulties and possible solutions in this context. At the same time we would also like to present a different pricing approach based on numerical integration and the fast Fourier Transform. Both approaches are compared in terms of accuracy and efficiency.