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 Two types of new methods with variable time steps are proposed in order to valuate binary options efficiently. Type I changes adaptively the size of the time step at each time based on the magnitude of the local error, while Type II combines two uniform meshes. The new methods are hybrid finite difference methods, namely starting the computation with a fully implicit finite difference method for a few time steps for accuracy then performing a θ-method during the rest of computation for efficiency. Numerical experiments for standard European vanilla, binary, and American options show that both Type I and II variable time step methods are much more efficient than the fully implicit method or hybrid methods with uniform time steps.

권호기사

권호기사 목록 테이블로 기사명, 저자명, 페이지, 원문, 기사목차 순으로 되어있습니다.
기사명 저자명 페이지 원문 목차
Generalized analytic Fourier-Feynman transforms and convolutions on a fresnel type class Seung Jun Chang ,Il Yong Lee pp.223-245

Differential equations related to family A Ping Li ,Yong Meng pp.247-260

Derivative of the Riesz-Nágy-Takács function In-Soo Baek pp.261-275

Characterizations of elements in prime radicals of skew polynomial rings and skew laurent polynomial rings Jeoung Soo Cheon ,Eun Jeong Kim ,Chang Ik Lee ,Yun Ho Shin pp.277-290

Relations among the first variation, the convolutions and the generalized Fourier-Gauss transforms Man Kyu Im ,Un Cig Ji ,Yoon Jung Park pp.291-302

Preconditioned Gauss-Seidel iterative method for z-matrices linear systems Hailong Shen ,Xinhui Shao ,Zhenxing Huang ,Chunji Li pp.303-314

Deformations of d/BCK-algebras Paul J. Allen ,Hee Sik Kim ,Joseph Neggers pp.315-324

Asymptotic distribution of the discounted proper deficit in the discrete time delayed renewal model Zhen-hua Bao ,Jing Wang pp.325-334

Sphere-foliated minimal and constant mean curvature hypersurfaces in product spaces Keomkyo Seo pp.335-342

(A)strong limit theorem for sequences of blockwise and pairwise m-dependent random variables Van Thanh Le ,Ngoc Anh Vu pp.343-351

Degree conditions and fractional k-factors of graphs Sizhong Zhou pp.353-363

Semi-divisoriality of hom-modules and injective cogenerator of a quotient category Hwankoo Kim pp.365-375

Loci of rational curves of small degree on the moduli space of vector bundles Insong Choe pp.377-386

On the initial values of solutions of a general functional equation Jae-Young Chung ,Dohan Kim pp.387-396

Spatial behavior of solution for the stokes flow equation Yan Liu ,Wenhui Liao ,Changhao Lin pp.397-412

Variable time-stepping hybrid finite difference methods for pricing binary options Hongjoong Kim ,Kyoung-Sook Moon pp.413-426

Hope hypersurfaces in complex two-plane Grassmannians with lie parallel normal acobi operator Imsoon Jeong ,Hyunjin Lee ,Young Jin Suh pp.427-444

참고문헌 (19건) : 자료제공( 네이버학술정보 )

참고문헌 목록에 대한 테이블로 번호, 참고문헌, 국회도서관 소장유무로 구성되어 있습니다.
번호 참고문헌 국회도서관 소장유무
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4 Quadratic Convergence for Valuing American Options Using a Penalty Method 네이버 미소장
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13 A posteriori error analysis for parabolic variational inequalities 네이버 미소장
14 Convergence remedies for non-smooth payoffs in option pricing 네이버 미소장
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19 P. Wilmott, J. Dewynne, and S. Howison, Option Pricing: Mathematical Models and Computation, Oxford Financial Press, 1993. 미소장