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Volumn 30, Issue 4, 2007, Pages 1678-1705

A fast and accurate FFT-based method for pricing early-exercise options under levy processes

Author keywords

American options; Bermudan options; Convolution; Fast Fourier transform; L vy processes; Option pricing

Indexed keywords

COSTS; ECONOMICS; FAST FOURIER TRANSFORMS; FINANCIAL MARKETS;

EID: 55549136080     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/070683878     Document Type: Article
Times cited : (180)

References (43)
  • 3
    • 27544447048 scopus 로고
    • The Fourier-series method for inverting transforms of probability distributions
    • J. ABATE AND W. WHITT, The Fourier-series method for inverting transforms of probability distributions, Queueing Syst., 10 (1992), pp. 5-88.
    • (1992) Queueing Syst , vol.10 , pp. 5-88
    • ABATE, J.1    WHITT, W.2
  • 4
    • 39449115453 scopus 로고    scopus 로고
    • Accurate evaluation of European and, American options under the CGMY process
    • A. ALMENDRAL AND C. W. OOSTERLEE, Accurate evaluation of European and, American options under the CGMY process, SIAM J. Sci. Comput., 29 (2007), pp. 93-117.
    • (2007) SIAM J. Sci. Comput , vol.29 , pp. 93-117
    • ALMENDRAL, A.1    OOSTERLEE, C.W.2
  • 5
    • 34249097117 scopus 로고    scopus 로고
    • On American options under the variance gamma process
    • A. ALMENDRAL AND C. W. OOSTERLEE, On American options under the variance gamma process, Appl. Math. Finance, 14 (2007), pp. 131-152.
    • (2007) Appl. Math. Finance , vol.14 , pp. 131-152
    • ALMENDRAL, A.1    OOSTERLEE, C.W.2
  • 6
    • 0346604711 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
  • 7
    • 27344454714 scopus 로고    scopus 로고
    • A double-exponential fast Gauss transform algorithm for pricing discrete path-dependent options
    • M. BROADIE AND Y. YAMAMOTO, A double-exponential fast Gauss transform algorithm for pricing discrete path-dependent options, Oper. Res., 53 (2005), pp. 764-779.
    • (2005) Oper. Res , vol.53 , pp. 764-779
    • BROADIE, M.1    YAMAMOTO, Y.2
  • 8
    • 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
  • 9
    • 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. Comput. Finance, 2 (1999), pp. 61-73.
    • (1999) J. Comput. Finance , vol.2 , pp. 61-73
    • CARR, P.P.1    MADAN, D.B.2
  • 10
    • 34547263607 scopus 로고    scopus 로고
    • Richardson extrapolation technique for pricing American-style options
    • C.-C. CHANG, S.-L. CHUNG, AND R. C. STAPLETON, Richardson extrapolation technique for pricing American-style options, J. Futures Markets, 27 (2007), pp. 791-817.
    • (2007) J. Futures Markets , vol.27 , pp. 791-817
    • CHANG, C.-C.1    CHUNG, S.-L.2    STAPLETON, R.C.3
  • 11
    • 55549147323 scopus 로고    scopus 로고
    • K. CHOURDAKIS, Switching Lévy models in continuous time: Finite distributions and option pricing, in Proceedings of the Quantitative Methods in Finance 2005, Sydney, Australia, 2005; available online from gemini.econ.umd.edu/cgi-bin/conference/download. cgi?db_name= QMF2005&paper_id=81.
    • K. CHOURDAKIS, Switching Lévy models in continuous time: Finite distributions and option pricing, in Proceedings of the Quantitative Methods in Finance 2005, Sydney, Australia, 2005; available online from gemini.econ.umd.edu/cgi-bin/conference/download. cgi?db_name= QMF2005&paper_id=81.
  • 13
    • 0000150151 scopus 로고
    • Numerical inversion of Laplace transforms by relating them to the finite Fourier cosine transform
    • H. DUBNER AND J. ABATE, Numerical inversion of Laplace transforms by relating them to the finite Fourier cosine transform, J. ACM, 15 (1968), pp. 115-123.
    • (1968) J. ACM , vol.15 , pp. 115-123
    • DUBNER, H.1    ABATE, J.2
  • 14
    • 0001668150 scopus 로고    scopus 로고
    • Transform analysis and asset pricing for affine jumpdiffusions
    • D. DUFFIE. J. PAN, AND K. SINGLETON, Transform analysis and asset pricing for affine jumpdiffusions, Econometrica, 68 (2000), pp. 1343-1376.
    • (2000) Econometrica , vol.68 , pp. 1343-1376
    • DUFFIE, D.1    PAN, J.2    SINGLETON, K.3
  • 16
    • 1942424821 scopus 로고    scopus 로고
    • Fast Fourier transform for discontinuous functions
    • G. FAN AND G. H. LIU, Fast Fourier transform for discontinuous functions, IEEE Trans. Antennas and Propagation, 52 (2004), pp. 461-465.
    • (2004) IEEE Trans. Antennas and Propagation , vol.52 , pp. 461-465
    • FAN, G.1    LIU, G.H.2
  • 17
    • 84944838936 scopus 로고
    • The American put valued analytically
    • R. GESKE AND H. JOHNSON, The American put valued analytically, J. Finance, 39 (1984), pp. 1511-1542.
    • (1984) J. Finance , vol.39 , pp. 1511-1542
    • GESKE, R.1    JOHNSON, H.2
  • 18
    • 33846209414 scopus 로고
    • Note on the inverse theorem
    • J. GIL-PELAEZ, Note on the inverse theorem, Biometrika, 37 (1951), pp. 481-482.
    • (1951) Biometrika , vol.37 , pp. 481-482
    • GIL-PELAEZ, J.1
  • 19
    • 0001196969 scopus 로고
    • Inversion formulae for the distribution of ratios
    • J. GIIRLAND, Inversion formulae for the distribution of ratios, Ann. Math. Stat., 19 (1948), pp. 228-237.
    • (1948) Ann. Math. Stat , vol.19 , pp. 228-237
    • GIIRLAND, J.1
  • 20
    • 2442536011 scopus 로고    scopus 로고
    • A penalty method for American options with jump diffusion processes
    • Y. D'HALLUIN, P. A. FORSYTH, AND G. LABAHAN, A penalty method for American options with jump diffusion processes, Numer. Math., 97 (2004), pp. 321-352.
    • (2004) Numer. Math , vol.97 , pp. 321-352
    • D'HALLUIN, Y.1    FORSYTH, P.A.2    LABAHAN, G.3
  • 21
    • 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
  • 23
    • 4944225306 scopus 로고    scopus 로고
    • Pricing American options under variance gamma
    • A. HIRSA AND D. B. MADAN, Pricing American options under variance gamma, J. Comput. Finance, 7, 2004.
    • (2004) J. Comput. Finance , vol.7
    • HIRSA, A.1    MADAN, D.B.2
  • 24
    • 33847662395 scopus 로고    scopus 로고
    • A matched asymptotic expansions approach to continuity corrections for discretely sampled options. Part 2: Bermudan options
    • S. HOWISON, A matched asymptotic expansions approach to continuity corrections for discretely sampled options. Part 2: Bermudan options, Appl. Math. Finance, 14 (2007), pp. 91-104.
    • (2007) Appl. Math. Finance , vol.14 , pp. 91-104
    • HOWISON, S.1
  • 25
    • 55549120695 scopus 로고    scopus 로고
    • Cutting edges using domain integration
    • Z. HU, J. KERKHOF, P. MCCLOUD, AND J. WACKERTAPP, Cutting edges using domain integration, Risk, 19 (2006), pp. 95-99.
    • (2006) Risk , vol.19 , pp. 95-99
    • HU, Z.1    KERKHOF, J.2    MCCLOUD, P.3    WACKERTAPP, J.4
  • 26
    • 0011935435 scopus 로고    scopus 로고
    • Markov-functional interest rate models
    • P. HUNT, J. KENNEDY, AND A. A. J. PELSSER, Markov-functional interest rate models, Finance Stoch., 4 (2000), pp. 391-408.
    • (2000) Finance Stoch , vol.4 , pp. 391-408
    • HUNT, P.1    KENNEDY, J.2    PELSSER, A.A.J.3
  • 27
    • 30944460406 scopus 로고    scopus 로고
    • Numerical transform inversion using Gaussian quadrature
    • P. DEN ISEGER, Numerical transform inversion using Gaussian quadrature, Probab. Engrg. Inform. Sci., 20 (2006), pp. 1-44.
    • (2006) Probab. Engrg. Inform. Sci , vol.20 , pp. 1-44
    • DEN ISEGER, P.1
  • 28
    • 1542395646 scopus 로고    scopus 로고
    • Valuing Bermudan options when asset returns are Lévy processes
    • E. KËLLEZI AND N. WEBBER, Valuing Bermudan options when asset returns are Lévy processes, Quant. Finance, 4 (2004), pp. 87-1000.
    • (2004) Quant. Finance , vol.4 , pp. 87-1000
    • KËLLEZI, E.1    WEBBER, N.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 Sci., 48 (2002), pp. 1086-1101.
    • (2002) Management Sci , vol.48 , pp. 1086-1101
    • KOU, S.G.1
  • 30
    • 4944250531 scopus 로고    scopus 로고
    • Option pricing by transform methods: Extensions, unification, and error control
    • R. LEE, Option pricing by transform methods: Extensions, unification, and error control, J. Comput. Finance, 7 (2004), pp. 51-86.
    • (2004) J. Comput. Finance , vol.7 , pp. 51-86
    • LEE, R.1
  • 31
    • 55549102813 scopus 로고    scopus 로고
    • Multi-asset option pricing using a parallel Fourier-based technique
    • to appear
    • C. C. W. LEENTVAAR AND C. W. OOSTERLEE, Multi-asset option pricing using a parallel Fourier-based technique, J. Comput. Appl. Math., to appear.
    • J. Comput. Appl. Math
    • LEENTVAAR, C.C.W.1    OOSTERLEE, C.W.2
  • 33
    • 53849114079 scopus 로고    scopus 로고
    • Optimal Fourier inversion in semi-analytical option pricing
    • R. LORD AND C. KAHL, Optimal Fourier inversion in semi-analytical option pricing, J. Comput. Finance, 10 (2007), pp. 1-30.
    • (2007) J. Comput. Finance , vol.10 , pp. 1-30
    • LORD, R.1    KAHL, C.2
  • 35
    • 33748325708 scopus 로고    scopus 로고
    • A multinomial approximation for American option prices in Lévy process models
    • R. A. MALLER, D. H. SOLOMON, AND A. SZIMAYER, A multinomial approximation for American option prices in Lévy process models, Math. Finance, 16 (2006), pp. 613-633.
    • (2006) Math. Finance , vol.16 , pp. 613-633
    • MALLER, R.A.1    SOLOMON, D.H.2    SZIMAYER, A.3
  • 36
    • 26644461683 scopus 로고    scopus 로고
    • Wavelet Galerkin pricing of American options on Lévy driven assets
    • A. M. MATAOHE, P. A. NITSCHE, AND C. SCHWAB, Wavelet Galerkin pricing of American options on Lévy driven assets, Quantitative Finance, 5 (2005), pp. 403-424.
    • (2005) Quantitative Finance , vol.5 , pp. 403-424
    • MATAOHE, A.M.1    NITSCHE, P.A.2    SCHWAB, C.3
  • 38
    • 55549092915 scopus 로고    scopus 로고
    • Convolution methods for path-dependent options
    • available online from
    • E. REINER, Convolution methods for path-dependent options, in Proceedings of the Financial Mathematics workshop, IPAM UCLA, 2001; available online from http://www.ipam.ucla.edu/publications/fm2001/ fm2001_4272.pdf.
    • (2001) Proceedings of the Financial Mathematics workshop, IPAM UCLA
    • REINER, E.1
  • 39
    • 13644254617 scopus 로고    scopus 로고
    • Basic results on Lévy processes
    • Birkhäuser Boston, Boston, MA
    • K.-I. SATO, Basic results on Lévy processes, in Lévy Processes, Birkhäuser Boston, Boston, MA, 2001, pp. 3-37.
    • (2001) Lévy Processes , pp. 3-37
    • SATO, K.-I.1
  • 40
    • 55549126634 scopus 로고    scopus 로고
    • C. O'SULLIVAN, Path Dependent Option Pricing under Levy Processes, EFA 2005 Moscow Meetings Paper; available online from http://ssrn.com/abstract=673424, 2005.
    • C. O'SULLIVAN, Path Dependent Option Pricing under Levy Processes, EFA 2005 Moscow Meetings Paper; available online from http://ssrn.com/abstract=673424, 2005.
  • 41
    • 55549112874 scopus 로고    scopus 로고
    • Numerical valuation of European and American options under Kou's jumpdiffusion model
    • to appear
    • J. TOIVANEN, Numerical valuation of European and American options under Kou's jumpdiffusion model, SIAM J. Sci. Comput., to appear, 2008.
    • (2008) SIAM J. Sci. Comput
    • TOIVANEN, J.1
  • 42
    • 55549093898 scopus 로고    scopus 로고
    • Robust numerical valuation of European and American options under the CGMY process
    • I. WANG, J. W. WAN, AND P. FORSYTH, Robust numerical valuation of European and American options under the CGMY process, J. Comput. Finance, 10 (2007), pp. 31-70.
    • (2007) J. Comput. Finance , vol.10 , pp. 31-70
    • WANG, I.1    WAN, J.W.2    FORSYTH, P.3


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