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Volumn 12, Issue 1, 2004, Pages 73-88

Introduction to fast Fourier transform in finance

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EID: 33749526944     PISSN: 10741240     EISSN: None     Source Type: Journal    
DOI: 10.3905/jod.2004.434538     Document Type: Article
Times cited : (20)

References (26)
  • 1
    • 3142579900 scopus 로고    scopus 로고
    • A new fourier transform algorithm for value at risk
    • Albanese, C., K. Jackson, and P. Wiberg. "A New Fourier Transform Algorithm for Value At Risk." Quantitative Finance, 4(2004), pp. 328-338.
    • (2004) Quantitative Finance , vol.4 , pp. 328-338
    • Albanese, C.1    Jackson, K.2    Wiberg, P.3
  • 2
    • 85021755599 scopus 로고    scopus 로고
    • Fast fourier method for the valuation of options on several correlated currencies
    • J. Hakala and U. Wystup, eds, London: Risk Publications
    • Andreas, A., B. Engelmann, P. Schwendner, and U. Wystup, "Fast Fourier Method for the Valuation of Options on Several Correlated Currencies." In J. Hakala and U. Wystup, eds. Foreign Exchange Risk. London: Risk Publications, 2002.
    • (2002) Foreign Exchange Risk
    • Andreas, A.1    Engelmann, B.2    Schwendner, P.3    Wystup, U.4
  • 3
    • 0026222570 scopus 로고
    • The fractional fourier transform and applications
    • Bailey, D. H., and P. N. Swartztrauber. "The Fractional Fourier Transform and Applications." SIAM Review, Vol. 33, No. 3(1991), pp. 389-404.
    • (1991) SIAM Review , vol.33 , Issue.3 , pp. 389-404
    • Bailey, D.H.1    Swartztrauber, P.N.2
  • 4
    • 10244265465 scopus 로고    scopus 로고
    • Fast fourier transform for discrete asian options
    • Benhamou, E. "Fast Fourier Transform for Discrete Asian Options." Journal of Computational Finance, Vol. 6, No. 1 (2002).
    • (2002) Journal of Computational Finance , vol.6 , Issue.1
    • Benhamou, E.1
  • 5
    • 20744444659 scopus 로고
    • A linear filtering approach to the computation of the discrete fourier transform
    • Bluestein, L. I. "A Linear Filtering Approach to the Computation of the Discrete Fourier Transform." IEEE Northeast Electronics Research and Engineering Meeting, 10(1968), pp. 218-219.
    • (1968) IEEE Northeast Electronics Research and Engineering Meeting , vol.10 , pp. 218-219
    • Bluestein, L.I.1
  • 6
    • 0002488565 scopus 로고    scopus 로고
    • Option valuation using the fast fourier transform
    • Carr, P., and D. B. Madan. "Option Valuation Using the Fast Fourier Transform." Journal of Computational Finance, 2(1999), pp. 61-73.
    • (1999) Journal of Computational Finance , vol.2 , pp. 61-73
    • Carr, P.1    Madan, D.B.2
  • 7
    • 0347592529 scopus 로고    scopus 로고
    • Time-changed lévy processes and option pricing
    • Carr, P., and L. Wu. "Time-changed Lévy Processes and Option Pricing." Journal of Financial Economics, Vol. 71, No. 1(2004), pp. 113-141.
    • (2004) Journal of Financial Economics , vol.71 , Issue.1 , pp. 113-141
    • Carr, P.1    Wu, L.2
  • 11
    • 0009024460 scopus 로고    scopus 로고
    • Evaluation of derivative security prices in the heath-jarrow-morton framework as path integrals using fast fourier transform techniques
    • Chiarella, C., and N. El-Hassan. "Evaluation of Derivative Security Prices in the Heath-Jarrow-Morton Framework as Path Integrals Using Fast Fourier Transform Techniques." Journal of Financial Engineering, Vol. 6, No. 2(1997), pp. 121-147.
    • (1997) Journal of Financial Engineering , vol.6 , Issue.2 , pp. 121-147
    • Chiarella, C.1    El-Hassan, N.2
  • 13
    • 33749509100 scopus 로고    scopus 로고
    • Spread option valuation and the fast fourier transform
    • H. Geman, D. Madan, S. R. Pliska, and T. Vorst, eds, Berlin: Springer
    • Dempster, M. A. H., and S. S. G. Hong. "Spread Option Valuation and the Fast Fourier Transform." In H. Geman, D. Madan, S. R. Pliska, and T. Vorst, eds, Mathematical Finance-Bachelier Congress 2000. Berlin: Springer, 2002, pp. 203-220.
    • (2002) Mathematical Finance-bachelier Congress 2000 , pp. 203-220
    • Dempster, M.A.H.1    Hong, S.S.G.2
  • 15
    • 0001668150 scopus 로고    scopus 로고
    • Transform analysis and asset pricing for affine jump diffusions
    • Duffie, D., J. Pan, and K. Singleton. "Transform Analysis and Asset Pricing for Affine Jump Diffusions." Econometrica, 68(2000), pp. 1343-1376.
    • (2000) Econometrica , vol.68 , pp. 1343-1376
    • Duffie, D.1    Pan, J.2    Singleton, K.3
  • 16
    • 0025418849 scopus 로고
    • Fast fourier transforms: A tutorial review and a state of the art
    • Duhamel, P., and M. Vetterli. "Fast Fourier Transforms: A Tutorial Review and a State of the Art." Signal Processing, 19(1990), pp. 259-299.
    • (1990) Signal Processing , vol.19 , pp. 259-299
    • Duhamel, P.1    Vetterli, M.2
  • 17
    • 0000670088 scopus 로고    scopus 로고
    • New insights into smile, mispricing and value at risk: The hyperbolic model
    • Eberlein, E., U. Keller, and K. Prause. "New Insights into Smile, Mispricing and Value at Risk: The Hyperbolic Model." Journal of Business, Vol. 71, No. 3(1998), pp. 371-405.
    • (1998) Journal of Business , vol.71 , Issue.3 , pp. 371-405
    • Eberlein, E.1    Keller, U.2    Prause, K.3
  • 19
    • 0037836721 scopus 로고
    • A closed-form solution for options with stochastic volatility with applications to bond and currency options
    • Heston, S. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options." Review of Financial Studies, 6(1993), pp. 327-344.
    • (1993) Review of Financial Studies , vol.6 , pp. 327-344
    • Heston, S.1
  • 20
    • 84866429188 scopus 로고    scopus 로고
    • Hey, A. "FFT Demystified." Available at http://www.eptools. com/tn/T0001/INDEX. HTM, 1999.
    • (1999) FFT Demystified
    • Hey, A.1
  • 22
    • 4944250531 scopus 로고    scopus 로고
    • Option pricing by transform methods: Extensions, unification and error control
    • Lee, R. W. "Option Pricing by Transform Methods: Extensions, Unification and Error Control." Journal of Computational Finance, Vol. 7, No. 3 (2004).
    • (2004) Journal of Computational Finance , vol.7 , Issue.3
    • Lee, R.W.1
  • 23
    • 0000903441 scopus 로고
    • The variance gamma model for stock market returns
    • Madan, D., and E. Seneta. "The Variance Gamma Model for Stock Market Returns." Journal of Business, Vol. 63, No. 4(1990), pp. 511-524.
    • (1990) Journal of Business , vol.63 , Issue.4 , pp. 511-524
    • Madan, D.1    Seneta, E.2
  • 24
    • 3943055955 scopus 로고
    • The chirp z-transform algorithm and its application
    • Rabiner, L. R., R. W. Schafer, and C. M. Rader. "The Chirp Z-Transform Algorithm and its Application. " Bell Systems Technical Journal, Vol. 48, No. 5(1969), pp. 1249-1292.
    • (1969) Bell Systems Technical Journal , vol.48 , Issue.5 , pp. 1249-1292
    • Rabiner, L.R.1    Schafer, R.W.2    Rader, C.M.3
  • 25
    • 13544254130 scopus 로고    scopus 로고
    • Coupling backward induction with Monte Carlo simulations: A fast fourier transform (FFT) approach
    • Rebonato, R., and I. Cooper. "Coupling Backward Induction with Monte Carlo Simulations: A Fast Fourier Transform (FFT) Approach." Applied Mathematical Finance, Vol. 5, No. 2(1998), pp. 131-141.
    • (1998) Applied Mathematical Finance , vol.5 , Issue.2 , pp. 131-141
    • Rebonato, R.1    Cooper, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.