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Volumn 109, Issue 1, 2004, Pages 47-68

Gaussian moving averages, semimartingales and option pricing

Author keywords

Equivalent martingale measures; Gaussian processes; Moving average representation; Option pricing; Semimartingales

Indexed keywords


EID: 0242467551     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2003.08.002     Document Type: Article
Times cited : (39)

References (33)
  • 1
    • 85015692260 scopus 로고
    • The pricing of options and corporate liabilities
    • Black F. Scholes M. The pricing of options and corporate liabilities J. Polit. Econom. 81 1973 637-659
    • (1973) J. Polit. Econom. , vol.81 , pp. 637-659
    • Black, F.1    Scholes, M.2
  • 2
    • 0242641713 scopus 로고    scopus 로고
    • Sensitivity of the Black-Scholes option price to the local path behavior of the stochastic process modeling the underlying asset
    • Cheridito P. Sensitivity of the Black-Scholes option price to the local path behavior of the stochastic process modeling the underlying asset Proc. Steklov Inst. Math. 237 2002 225-239
    • (2002) Proc. Steklov Inst. Math. , vol.237 , pp. 225-239
    • Cheridito, P.1
  • 3
    • 0242389968 scopus 로고    scopus 로고
    • Arbitrage in fractional Brownian motion models
    • Cheridito P. Arbitrage in fractional Brownian motion models Finance Stochast. 7 4 2003 533-553
    • (2003) Finance Stochast. , vol.7 , Issue.4 , pp. 533-553
    • Cheridito, P.1
  • 4
    • 84955288315 scopus 로고    scopus 로고
    • When is a moving average a semimartingale?
    • Research Report No. 2001-28, MaPhySto, Denmark
    • Cherny A. 2001 When is a moving average a semimartingale? Research Report No. 2001-28, MaPhySto, Denmark.
    • (2001)
    • Cherny, A.1
  • 5
    • 0009040449 scopus 로고
    • Stock price returns and the Joseph effect: A fractional version of the Black-Scholes model
    • Cutland N.J. Kopp P.E. Willinger W. Stock price returns and the Joseph effect: a fractional version of the Black-Scholes model Prog. Probab. 36 1995 327-351
    • (1995) Prog. Probab. , vol.36 , pp. 327-351
    • Cutland, N.J.1    Kopp, P.E.2    Willinger, W.3
  • 6
    • 0001249935 scopus 로고
    • A general version of the fundamental theorem of asset pricing
    • Delbaen F. Schachermayer W. A general version of the fundamental theorem of asset pricing Math. Ann. 300 3 1994 463-520
    • (1994) Math. Ann. , vol.300 , Issue.3 , pp. 463-520
    • Delbaen, F.1    Schachermayer, W.2
  • 8
    • 0242389970 scopus 로고
    • Corvariance des semimartingales gaussiennes
    • Emery M. Corvariance des semimartingales gaussiennes C. R. Acad. Sci. Paris Sér. I Math. 295 12 1982 703-705
    • (1982) C. R. Acad. Sci. Paris Sér. I Math. , vol.295 , Issue.12 , pp. 703-705
    • Emery, M.1
  • 9
    • 0242556968 scopus 로고
    • Gaussian semimartingales. Statistics and control of stochastic processes (Moscow)
    • Optimization Software, New York
    • Galchouk L.I. 1984 Gaussian semimartingales. Statistics and control of stochastic processes (Moscow), Transl. Ser. Math. Engrg., Optimization Software, New York, pp. 102-121.
    • (1984) Transl. Ser. Math. Engrg. , pp. 102-121
    • Galchouk, L.I.1
  • 10
    • 0003328481 scopus 로고
    • Continuous price processes in frictionless markets have infinite variation
    • Harrison J.M. Pitbladdo R. Schaefer S.M. Continuous price processes in frictionless markets have infinite variation J. Business 57 1984 353-365
    • (1984) J. Business , vol.57 , pp. 353-365
    • Harrison, J.M.1    Pitbladdo, R.2    Schaefer, S.M.3
  • 11
    • 84972562211 scopus 로고
    • Representation of Gaussian processes equivalent to Wiener process
    • Hitsuda M. Representation of Gaussian processes equivalent to Wiener process Osaka J. Math. 5 1968 299-312
    • (1968) Osaka J. Math. , vol.5 , pp. 299-312
    • Hitsuda, M.1
  • 13
    • 2442456183 scopus 로고
    • Moyennes mobiles et semimartingales
    • Lecture Notes in Mathematics, No. 1557, Springer, Berlin
    • Jeulin T. Yor M. 1993 Moyennes mobiles et semimartingales. Séminaire de Probabilités, Vol. XXVII, Lecture Notes in Mathematics, No. 1557, Springer, Berlin, pp. 53-77.
    • (1993) Séminaire de Probabilités , vol.27 , pp. 53-77
    • Jeulin, T.1    Yor, M.2
  • 14
    • 0004171561 scopus 로고
    • Brownian Motion and Stochastic Calculus
    • Berlin: Springer
    • Karatzas I. Shreve S.E. Brownian Motion and Stochastic Calculus 1991 Springer Berlin
    • (1991)
    • Karatzas, I.1    Shreve, S.E.2
  • 15
    • 0011334960 scopus 로고
    • Über die Struktur stationärer zufälliger Funktionen
    • Karhunen K. Über die Struktur stationärer zufälliger Funktionen Ark. Mat. 1 3 1950 141-160
    • (1950) Ark. Mat. , vol.1 , Issue.3 , pp. 141-160
    • Karhunen, K.1
  • 16
    • 23544433858 scopus 로고    scopus 로고
    • Fractional Brownian motion as a weak limit of Poisson shot noise processes-with applications to finance
    • Preprint
    • Klüppelberg C. Kühn C. 2002 Fractional Brownian motion as a weak limit of Poisson shot noise processes-with applications to finance. Preprint.
    • (2002)
    • Klüppelberg, C.1    Kühn, C.2
  • 18
    • 0001187166 scopus 로고
    • Wienersche Spiralen und einige andere interessante Kurven im Hilbertschen Raum
    • Kolmogorov A.N. Wienersche Spiralen und einige andere interessante Kurven im Hilbertschen Raum C.R. (Doklady) Acad. Sci. URSS (N.S.) 26 1940 115-118
    • (1940) C.R. (Doklady) Acad. Sci. URSS (N.S.) , vol.26 , pp. 115-118
    • Kolmogorov, A.N.1
  • 20
    • 0011826897 scopus 로고
    • Empirical implications of arbitrage-free asset markets
    • Peter, C., Phillips, B. (Eds.), Basil Blackwell, Oxford
    • Maheswaran S. Sims C.A. 1993 Empirical implications of arbitrage-free asset markets. Models, Methods and Applications of Econometrics, Peter, C., Phillips, B. (Eds.), Basil Blackwell, Oxford.
    • (1993) Models, Methods and Applications of Econometrics
    • Maheswaran, S.1    Sims, C.A.2
  • 21
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • Mandelbrot B.B. Van Ness J.W. Fractional Brownian motions, fractional noises and applications SIAM Rev. 10 1968 422-437
    • (1968) SIAM Rev. , vol.10 , pp. 422-437
    • Mandelbrot, B.B.1    Van Ness, J.W.2
  • 22
    • 48449091599 scopus 로고
    • On helixes in Hilbert space
    • Masani P. On helixes in Hilbert space I. Theory Probab. Appl. 17 1972 1-19
    • (1972) I. Theory Probab. Appl. , vol.17 , pp. 1-19
    • Masani, P.1
  • 23
    • 0003522826 scopus 로고
    • Stochastic Integration and Differential Equations
    • Berlin: Springer
    • Protter P. Stochastic Integration and Differential Equations 1990 Springer Berlin
    • (1990)
    • Protter, P.1
  • 24
    • 0031540977 scopus 로고    scopus 로고
    • Arbitrage with fractional Brownian motion
    • Rogers L.C.G. Arbitrage with fractional Brownian motion Math. Finance 7 1 1997 95-105
    • (1997) Math. Finance , vol.7 , Issue.1 , pp. 95-105
    • Rogers, L.C.G.1
  • 25
    • 0003543379 scopus 로고    scopus 로고
    • Continuous Martingales and Brownian Motion
    • Berlin: Springer
    • Revuz D. Yor M. Continuous Martingales and Brownian Motion 1999 Springer Berlin
    • (1999)
    • Revuz, D.1    Yor, M.2
  • 26
    • 0008275846 scopus 로고    scopus 로고
    • Tolerance to arbitrage
    • Salopek D.M. Tolerance to arbitrage Stochast. Process. Appl. 76 2 1998 217-230
    • (1998) Stochast. Process. Appl. , vol.76 , Issue.2 , pp. 217-230
    • Salopek, D.M.1
  • 27
    • 0003623809 scopus 로고
    • Stable Non-Gaussian Random Processes
    • New York: Chapman & Hall
    • Samorodnitsky G. Taqqu M.S. Stable Non-Gaussian Random Processes 1994 Chapman & Hall New York
    • (1994)
    • Samorodnitsky, G.1    Taqqu, M.S.2
  • 28
    • 0002677397 scopus 로고
    • Rational theory of warrant pricing
    • Samuelson P.A. Rational theory of warrant pricing Indust. Manage. Rev. 6 2 1965 13-31
    • (1965) Indust. Manage. Rev. , vol.6 , Issue.2 , pp. 13-31
    • Samuelson, P.A.1
  • 29
    • 0040464025 scopus 로고    scopus 로고
    • On arbitrage and replication for fractal models
    • Research Report No. 1998-20, MaPhySto, Denmark
    • Shiryaev A.N. 1998 On arbitrage and replication for fractal models. Research Report No. 1998-20, MaPhySto, Denmark.
    • (1998)
    • Shiryaev, A.N.1
  • 30
    • 0242389969 scopus 로고
    • Quasimartingales, martingales locales, semimartingales, et filtrations naturelles
    • Stricker C. Quasimartingales, martingales locales, semimartingales, et filtrations naturelles Zeit. für Wahrsch. und verw. Gebiete 39 1 1977 55-64
    • (1977) Zeit. Für Wahrsch. und Verw. Gebiete , vol.39 , Issue.1 , pp. 55-64
    • Stricker, C.1
  • 31
    • 51249180343 scopus 로고
    • Semimartingales gaussiennes-application au problème de l'innovation
    • Stricker C. Semimartingales gaussiennes-application au problème de l'innovation Z. Wahrsch. Verw. Gebiete 64 3 1983 303-312
    • (1983) Z. Wahrsch. Verw. Gebiete , vol.64 , Issue.3 , pp. 303-312
    • Stricker, C.1
  • 32
    • 0021305084 scopus 로고
    • Quelques remarques sur les semimartingales Gaussiennes et le problème de l'innovation
    • Springer, Berlin
    • Stricker C. 1984 Quelques remarques sur les semimartingales Gaussiennes et le problème de l'innovation. Lecture Notes in Control and Information Science, Vol. 61, Springer, Berlin, pp. 260-276.
    • (1984) Lecture Notes in Control and Information Science , vol.61 , pp. 260-276
    • Stricker, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.