Time-dependent Double Obstacle Problem Arising from Eu-ropean Option Pricing with Transaction Costs

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초록

In this paper, we investigate a time-dependent double obstacle problem asso-ciated with the model of European call option pricing with transaction costs. We prove the existence and uniqueness of a W-p,W-lOc (2,1) solution to the problem. We then characterize the behavior of the free boundaries in terms of continuity and values of limit points.

키워드

double obstacle problem; parabolic partial differential equation; time-dependent obstacle; free boundary; option pricing; VARIATIONAL INEQUALITY; INVESTMENT
제목
Time-dependent Double Obstacle Problem Arising from Eu-ropean Option Pricing with Transaction Costs
저자
Oh, Jehan; Woo, Namgwang
DOI
10.5666/KMJ.2022.62.4.615
발행일
2022-12
유형
Article
저널명
Kyungpook Mathematical Journal
권
62
호
4
페이지
615 ~ 640