논문KCI 등재
Time-dependent Double Obstacle Problem Arising from European Option Pricing with Transaction Costs
경북대학교 자연과학대학 수학과|2022.12|Kyungpook Mathematical Journal|제62권 제4호|pp. 615-640|DOI 10.5666/KMJ.2022.62.4.615
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we investigate a time-dependent double obstacle problem associated with the model of European call option pricing with transaction costs. We prove the existence and uniqueness of a W2,1 p,loc solution to the problem. We then characterize the behavior of the free boundaries in terms of continuity and values of limit points.
Abstract
In this paper, we investigate a time-dependent double obstacle problem associated with the model of European call option pricing with transaction costs. We prove the existence and uniqueness of a W2,1 p,loc solution to the problem. We then characterize the behavior of the free boundaries in terms of continuity and values of limit points.
참고문헌 (13)
- M. Akian, "On an investment-consumption model with transaction costs", SIAM J. Control Optim, 34(1), pp.329~364 (1996)
- X. Chen, "Parabolic variational inequality with parameter and gradient constraints", J. Math. Anal. Appl, 385(2), pp.928~946 (2012)
- M. Dai, "Finite-horizon optimal investment with transaction costs: a parabolic double obstacle problem", J. Differential Equations, 246(4), pp.1445~1469 (2009)
- M. H. A. Davis, "European option pricing with transaction costs", SIAM J. Control Optim, 31(2), pp.470~493 (1993)
- A. Friedman, "Parabolic variational inequalities in one space dimension and smooth-ness of the free boundary", J. Functional Analysis, 18, pp.151~176 (1975)
- P. Guasoni, "Optimal investment with transaction costs and without semimartingales", Ann. Appl. Probab, 12(4), pp.1227~1246 (2002)
- G. M. Lieberman, "Second order parabolic differential equations" (1996), World Scientific Pub-lishing Co., Inc
- Organisation for Economic Co-Operation and Development, "OECD Economic Outlook, 81 edition", Organization for Economic Co-operation and Development, ~ (2007)
- O. A. Oleĭnik, "Second order equations with nonnegative char-acteristic form" (1973), Plenum Press
- R. Pollin, "Securities transaction taxes for US financial markets", Eastern Economic Journal, 29(4), pp.527~558 (2003)
- K. Tso, "On an Aleksandrov-Bakel’man type maximum principle for second-order parabolic equations", Comm. Partial Differential Equations, 10(5), pp.543~553 (1985)
- Z. Yang, "Valuation of European installment put option: variational inequal-ity approach", Commun. Contemp. Math, 11(2), pp.279~307 (2009)
- F. Yi, "A variational inequality arising from European option pricing with transaction costs", Sci. China Ser. A, 51(5), pp.935~954 (2008)
관련 논문AI추천
Analytic calculation of european option pricing in stochastic volatility asset model오재필강원경기수학회 · 한국수학논문집2012 · 제20권 제1호Valuation and hedging of options with general payoff undertransactions costs구혜진, 최형인, David Heath대한수학회 · 대한수학회지2004 · 제41권 제3호REGULARITY OF A DEGENERATE PARABOLIC EQUATION APPEARING IN VECER’S UNIFIED PRICING OF ASIAN OPTIONS김세익, Hongjie Dong대한수학회 · 대한수학회보2015 · 제52권 제3호A survey on American options: old approaches and new trends구형건, 배형옥, 안세륭, 이기정대한수학회 · 대한수학회보2011 · 제48권 제4호Weighted Sobolev Regularity of Viscosity Solutions for Fully Nonlinear Parabolic Equations이미경영남수학회 · East Asian Mathematical Journal2022 · 제38권 제1호Optimal liquidation of a large block of stock with regime switching신동훈대한수학회 · 대한수학회보2011 · 제48권 제4호
이 간행물의 다른 논문 (11건)
On Injectivity of Modules via SemisimplicityNguyen Thi Thu Happ. 641-655On Generators in the Category of Actions of Pomonoids on Posets and its SlicesAli Madanshekaf, Farideh Farsadpp. 657-671Accelerated Tseng’s Technique to Solve Cayley Inclusion Problem in Hilbert SpacesUqba Rafat, Shamshad Husainpp. 673-687Dual Integrable Representations of HypergroupsSeyyed Mohammad Tabatabaie, Soheila Jokarpp. 689-697Numerical Solution of Nonlinear Diffusion in One Dimensional Porous Medium Using Hybrid SOR MethodJumat Sulaiman, Andang Sunarto, Elayaraja Aruchunan, Jackel Vui Lung Chewpp. 699-713
