메뉴 건너뛰기




Volumn 29, Issue 1, 2007, Pages 93-117

Accurate evaluation of european and American options under the CGMY process

Author keywords

Collocation method; Option pricing; Partial integro differential equations

Indexed keywords

ASSET MANAGEMENT; FINITE DIFFERENCE METHOD; INTEGRODIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 39449115453     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/050637613     Document Type: Article
Times cited : (52)

References (38)
  • 2
    • 21244456162 scopus 로고    scopus 로고
    • Some remarks on first passage of Lévy processes, the American put and pasting principles
    • L. ALILI AND A. E. KYPRIANOU, Some remarks on first passage of Lévy processes, the American put and pasting principles, Ann. Appl. Probab., 15 (2005), pp. 2062-2080.
    • (2005) Ann. Appl. Probab , vol.15 , pp. 2062-2080
    • ALILI, L.1    KYPRIANOU, A.E.2
  • 3
    • 31544463829 scopus 로고    scopus 로고
    • Numerical valuation of American options under the CGMY process
    • W. Schoutens, A. Kyprianou, and P. Wilmott, eds, Wiley, Chichester, UK
    • A. ALMENDRAL, Numerical valuation of American options under the CGMY process, in Exotic Option Pricing and Advanced Lévy Models, W. Schoutens, A. Kyprianou, and P. Wilmott, eds., Wiley, Chichester, UK, 2005.
    • (2005) Exotic Option Pricing and Advanced Lévy Models
    • ALMENDRAL, A.1
  • 4
    • 31544468423 scopus 로고    scopus 로고
    • On American Options under the Variance Gamma Process
    • Tech. report, Delft University of Technology, Delft, The Netherlands
    • A. ALMENDRAL AND C. W. OOSTERLEE, On American Options under the Variance Gamma Process, Tech. report, Delft University of Technology, Delft, The Netherlands, 2004.
    • (2004)
    • ALMENDRAL, A.1    OOSTERLEE, C.W.2
  • 5
    • 13644258481 scopus 로고    scopus 로고
    • Numerical valuation of options with jumps in the underlying
    • A. ALMENDRAL AND C. W. OOSTERLEE, Numerical valuation of options with jumps in the underlying, Appl. Numer. Math., 53 (2005), pp. 1-18.
    • (2005) Appl. Numer. Math , vol.53 , pp. 1-18
    • ALMENDRAL, A.1    OOSTERLEE, C.W.2
  • 6
    • 0000264693 scopus 로고    scopus 로고
    • Jump-diffusion processes: Volatility smile fitting and numerical methods for option pricing
    • L. ANDERSEN AND J. ANDREASEN, Jump-diffusion processes: Volatility smile fitting and numerical methods for option pricing, Review of Derivatives Res., 4 (2000), pp. 231-262.
    • (2000) Review of Derivatives Res , vol.4 , pp. 231-262
    • ANDERSEN, L.1    ANDREASEN, J.2
  • 7
    • 0002443909 scopus 로고    scopus 로고
    • Processes of normal inverse Gaussian type
    • O. E. BARNDORFF, Processes of normal inverse Gaussian type, Finance Stoch., 2 (1998), pp. 41- 68.
    • (1998) Finance Stoch , vol.2 , pp. 41-68
    • BARNDORFF, O.E.1
  • 8
    • 85015692260 scopus 로고
    • The pricing of options and corporate liabilities
    • F. BLACK AND M. S. SCHOLES, The pricing of options and corporate liabilities, J. Political Economy, 7 (1973), pp. 637-54.
    • (1973) J. Political Economy , vol.7 , pp. 637-654
    • BLACK, F.1    SCHOLES, M.S.2
  • 9
    • 0242459837 scopus 로고    scopus 로고
    • Non-Gaussian Merton-Black-Scholes Theory
    • Adv, World Scientific, River Edge, NJ
    • S. I. BOYARCHENKO AND S. Z. LEVENDORSKIǏ, Non-Gaussian Merton-Black-Scholes Theory, Adv. Ser. Stat. Sci. Appl. Probab. 9, World Scientific, River Edge, NJ, 2002.
    • (2002) Ser. Stat. Sci. Appl. Probab , vol.9
    • BOYARCHENKO, S.I.1    LEVENDORSKIǏ, S.Z.2
  • 13
    • 0005833762 scopus 로고    scopus 로고
    • The fine structure of asset returns: An empirical investigation
    • P. P. CARR, H. GEMAN, D. B. MADAN, AND M. YOR, The fine structure of asset returns: An empirical investigation, J. Business, 75 (2002), pp. 305-332.
    • (2002) J. Business , vol.75 , pp. 305-332
    • CARR, P.P.1    GEMAN, H.2    MADAN, D.B.3    YOR, M.4
  • 14
    • 0002488565 scopus 로고    scopus 로고
    • Option valuation using the Fast Fourier Transform
    • P. P. CARR AND D. B. MADAN, Option valuation using the Fast Fourier Transform, J. Comp. Finance, 2 (1999), pp. 61-73.
    • (1999) J. Comp. Finance , vol.2 , pp. 61-73
    • CARR, P.P.1    MADAN, D.B.2
  • 15
    • 0002895230 scopus 로고    scopus 로고
    • The variance Gamma process and option pricing
    • P. P. CARR, D. B. MADAN, AND E. C. CHANG, The variance Gamma process and option pricing, European Finance Review, 2 (1998), pp. 79-105.
    • (1998) European Finance Review , vol.2 , pp. 79-105
    • CARR, P.P.1    MADAN, D.B.2    CHANG, E.C.3
  • 17
    • 33847554918 scopus 로고
    • The valuation of options for alternative stochastic processes
    • J. C. Cox AND S. A. Ross, The valuation of options for alternative stochastic processes, J. Financial Economics, 3 (1976), pp. 145-166.
    • (1976) J. Financial Economics , vol.3 , pp. 145-166
    • Cox, J.C.1    Ross, S.A.2
  • 18
    • 0003036429 scopus 로고    scopus 로고
    • Exact solutions for bond and option prices with systematic jump risk
    • S. R. DAS AND S. FORESI, Exact solutions for bond and option prices with systematic jump risk, Review of Derivatives Res., 1 (1996), pp. 7-24.
    • (1996) Review of Derivatives Res , vol.1 , pp. 7-24
    • DAS, S.R.1    FORESI, S.2
  • 19
    • 85160656850 scopus 로고    scopus 로고
    • Robust numerical methods for contingent claims under jump diffusion processes
    • Y. D'HALLUIN, P. A. FORSYTH, AND K. R. VETZAL, Robust numerical methods for contingent claims under jump diffusion processes, IMA J. Numer. Anal., 43 (2005), pp. 1596-1626.
    • (2005) IMA J. Numer. Anal , vol.43 , pp. 1596-1626
    • D'HALLUIN, Y.1    FORSYTH, P.A.2    VETZAL, K.R.3
  • 20
    • 0002004145 scopus 로고    scopus 로고
    • Pricing with a smile
    • B. DUPIRE, Pricing with a smile, RISK Magazine, 1 (1999), pp. 18-20.
    • (1999) RISK Magazine , vol.1 , pp. 18-20
    • DUPIRE, B.1
  • 21
    • 0005787419 scopus 로고    scopus 로고
    • Application of generalized hyperbolic Levy motions to finance
    • Birkhäuser Boston, Boston
    • E. EBERLEIN, Application of generalized hyperbolic Levy motions to finance, in Lévy Processes, Birkhäuser Boston, Boston, 2001, pp. 319-336.
    • (2001) Lévy Processes , pp. 319-336
    • EBERLEIN, E.1
  • 22
    • 5344278912 scopus 로고
    • Stability and robustness of collocation methods for Abel-type integral equations
    • P. EGGERMONT, Stability and robustness of collocation methods for Abel-type integral equations, Numer. Math., 45 (1984), pp. 431-445.
    • (1984) Numer. Math , vol.45 , pp. 431-445
    • EGGERMONT, P.1
  • 23
    • 0008444945 scopus 로고
    • Fast numerical solution of weakly singular Volterra integral equations
    • E. HAIRER, C. LUBICH, AND M. SCHLICHTE, Fast numerical solution of weakly singular Volterra integral equations, J. Comput. Appl. Math., 23 (1988), pp. 87-98.
    • (1988) J. Comput. Appl. Math , vol.23 , pp. 87-98
    • HAIRER, E.1    LUBICH, C.2    SCHLICHTE, M.3
  • 24
    • 85037764836 scopus 로고    scopus 로고
    • Martingales versus PDEs in finance: An equivalence result with examples
    • D. HEATH AND M. SCHWEIZER, Martingales versus PDEs in finance: An equivalence result with examples, J. Appl. Probab., 37 (2000), pp. 947-957.
    • (2000) J. Appl. Probab , vol.37 , pp. 947-957
    • HEATH, D.1    SCHWEIZER, M.2
  • 25
    • 0037836721 scopus 로고
    • A closed-form solution for options with stochastic volatility with applications to bond and currency options
    • S. HESTON, A closed-form solution for options with stochastic volatility with applications to bond and currency options, Rev. Financ. Stud., 6 (1993), pp. 327-343.
    • (1993) Rev. Financ. Stud , vol.6 , pp. 327-343
    • HESTON, S.1
  • 27
    • 4944225306 scopus 로고    scopus 로고
    • Pricing American options under variance Gamma
    • A. HIRSA AND D. B. MADAN, Pricing American options under variance Gamma, J. Comp. Finance, 7 (2004), pp. 63-80.
    • (2004) J. Comp. Finance , vol.7 , pp. 63-80
    • HIRSA, A.1    MADAN, D.B.2
  • 28
    • 84977709229 scopus 로고
    • The pricing of options with stochastic volatilities
    • J. HULL AND A. WHITE, The pricing of options with stochastic volatilities, J. Finance, 42 (1987), pp. 281-300.
    • (1987) J. Finance , vol.42 , pp. 281-300
    • HULL, J.1    WHITE, A.2
  • 29
    • 0036698288 scopus 로고    scopus 로고
    • A jump diffusion model for option pricing
    • S. G. Kou, A jump diffusion model for option pricing, Management Science, 48 (2002), pp. 1086-1101.
    • (2002) Management Science , vol.48 , pp. 1086-1101
    • Kou, S.G.1
  • 30
    • 0003608503 scopus 로고    scopus 로고
    • Mathematical Models of Financial Derivatives
    • 2nd ed, Springer-Verlag, Singapore
    • Y. K. KWOK, Mathematical Models of Financial Derivatives, 2nd ed., Springer Finance, Springer-Verlag, Singapore, 1998.
    • (1998) Springer Finance
    • KWOK, Y.K.1
  • 33
    • 34248474317 scopus 로고
    • Option pricing when the underlying stocks are discontinuous
    • R. C. MERTON, Option pricing when the underlying stocks are discontinuous, J. Financ. Econ., 5 (1976), pp. 125-144.
    • (1976) J. Financ. Econ , vol.5 , pp. 125-144
    • MERTON, R.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.