메뉴 건너뛰기




Volumn 236, Issue 15, 2012, Pages 3741-3750

Option pricing with a direct adaptive sparse grid approach

Author keywords

Adaptivity; Black Scholes equation; Finite elements; Option pricing; Sparse grids

Indexed keywords

ADAPTIVITY; BLACK SCHOLES EQUATIONS; FINITE ELEMENT; OPTION PRICING; SPARSE GRID;

EID: 84861530604     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2011.09.024     Document Type: Conference Paper
Times cited : (29)

References (19)
  • 2
    • 61449162945 scopus 로고    scopus 로고
    • Multilevel Monte Carlo path simulation
    • M.B. Giles Multilevel Monte Carlo path simulation Operations Research 56 2008 607 617
    • (2008) Operations Research , vol.56 , pp. 607-617
    • Giles, M.B.1
  • 3
    • 74849087558 scopus 로고    scopus 로고
    • A highly accurate adaptive finite difference solver for the black-scholes equation
    • G. Linde, J. Persson, and L. von Sydow A highly accurate adaptive finite difference solver for the black-scholes equation International Journal of Computer Mathematics 86 2009 2104 2121
    • (2009) International Journal of Computer Mathematics , vol.86 , pp. 2104-2121
    • Linde, G.1    Persson, J.2    Von Sydow, L.3
  • 4
    • 50949101066 scopus 로고    scopus 로고
    • A fast, stable and accurate numerical method for the black-scholes equation of American options
    • M. Ehrhardt, and R.E. Mickens A fast, stable and accurate numerical method for the black-scholes equation of American options International Journal of Theoretical and Applied Finance 11 2008 471 501
    • (2008) International Journal of Theoretical and Applied Finance , vol.11 , pp. 471-501
    • Ehrhardt, M.1    Mickens, R.E.2
  • 6
    • 55549112874 scopus 로고    scopus 로고
    • Numerical valuation of European and American options under Kou's jump-diffusion model
    • J. Toivanen Numerical valuation of European and American options under Kou's jump-diffusion model SIAM Journal on Scientific Computing 30 2008 1949 1970
    • (2008) SIAM Journal on Scientific Computing , vol.30 , pp. 1949-1970
    • Toivanen, J.1
  • 7
    • 0003254417 scopus 로고
    • Sparse grids
    • W. Hackbusch, Notes on Numerical Fluid Mechanics Vieweg
    • C. Zenger Sparse grids W. Hackbusch, Parallel Algorithms for Partial Differential Equations Notes on Numerical Fluid Mechanics vol. 31 1991 Vieweg 241 251
    • (1991) Parallel Algorithms for Partial Differential Equations , vol.31 , pp. 241-251
    • Zenger, C.1
  • 9
    • 52949103001 scopus 로고    scopus 로고
    • On coordinate transformation and grid stretching for sparse grid pricing of basket options
    • (special issue: Numerical PDE Methods in Finance)
    • C. Leentvaar, and C. Oosterlee On coordinate transformation and grid stretching for sparse grid pricing of basket options Journal of Computational and Applied Mathematics 222 2008 193 209 (special issue: Numerical PDE Methods in Finance)
    • (2008) Journal of Computational and Applied Mathematics , vol.222 , pp. 193-209
    • Leentvaar, C.1    Oosterlee, C.2
  • 10
    • 39449130178 scopus 로고    scopus 로고
    • Efficient hierarchical approximation of high-dimensional option pricing problems
    • C. Reisinger, and G. Wittum Efficient hierarchical approximation of high-dimensional option pricing problems SIAM Journal on Scientific Computing 29 2007 440 458
    • (2007) SIAM Journal on Scientific Computing , vol.29 , pp. 440-458
    • Reisinger, C.1    Wittum, G.2
  • 12
    • 77954039356 scopus 로고    scopus 로고
    • Parallelizing a black-scholes solver based on finite elements and sparse grids
    • Atlanta, USA
    • H.-J. Bungartz, A. Heinecke, D. Pflüger, S. Schraufstetter, Parallelizing a black-scholes solver based on finite elements and sparse grids, in: Proc. IEEE International Parallel & Distributed Processing Symposium, Atlanta, USA, 2010.
    • (2010) Proc. IEEE International Parallel & Distributed Processing Symposium
    • H. -J. Bungartz1
  • 15
    • 0034431956 scopus 로고    scopus 로고
    • Far field boundary conditions for black-scholes equations
    • R. Kangro, and R. Nicolaides Far field boundary conditions for black-scholes equations SIAM Journal on Numerical Analysis 38 2000 1357 1368
    • (2000) SIAM Journal on Numerical Analysis , vol.38 , pp. 1357-1368
    • Kangro, R.1    Nicolaides, R.2
  • 16
    • 0000439427 scopus 로고
    • Finite element solution of diffusion problems with irregular data
    • R. Rannacher Finite element solution of diffusion problems with irregular data Numerische Mathematik 43 1984 309 327
    • (1984) Numerische Mathematik , vol.43 , pp. 309-327
    • Rannacher, R.1
  • 18
    • 0003890315 scopus 로고    scopus 로고
    • 6th ed. Pearson Prentice Hall Upper Saddle River, NJ, UA pearson internat. ed. edition
    • J. Hull Options, Futures, and Other Derivatives 6th ed. 2006 Pearson Prentice Hall Upper Saddle River, NJ, UA pearson internat. ed. edition
    • (2006) Options, Futures, and Other Derivatives
    • Hull, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.