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Volumn 37, Issue 3, 2005, Pages 585-598

Merton's model of optimal portfolio in a Black-Scholes Market driven by a fractional Brownian motion with short-range dependence

Author keywords

Fractional Black Scholes market; Fractional Brownian motion; Fractional It 's calculus; Stochastic optimal control of fractional order

Indexed keywords


EID: 29144478252     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.insmatheco.2005.06.003     Document Type: Article
Times cited : (23)

References (14)
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    • Stochastic analysis of the fractional Brownian motion
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    • (1999) Potential Analysis , vol.10 , pp. 177-214
    • Decreusefond, L.1    Ustunel, A.S.2
  • 4
    • 84950955560 scopus 로고
    • Stochastic differential equations with fractional Brownian motion input
    • G. Jumarie Stochastic differential equations with fractional Brownian motion input International Journal of Systems Science 24 6 1993 1113-1132
    • (1993) International Journal of Systems Science , vol.24 , Issue.6 , pp. 1113-1132
    • Jumarie, G.1
  • 5
    • 0035480489 scopus 로고    scopus 로고
    • Fractional master equation, non-standard analysis, and Liouville-Riemann derivative
    • G. Jumarie Fractional master equation, non-standard analysis, and Liouville-Riemann derivative Chaos, Solitons and Fractals 12 2001 2577-2587
    • (2001) Chaos, Solitons and Fractals , vol.12 , pp. 2577-2587
    • Jumarie, G.1
  • 6
    • 0035427324 scopus 로고    scopus 로고
    • New results on Fokker-Planck equation of fractional order
    • G. Jumarie New results on Fokker-Planck equation of fractional order Chaos, Solitons and Fractals 12 2001 1873-1886
    • (2001) Chaos, Solitons and Fractals , vol.12 , pp. 1873-1886
    • Jumarie, G.1
  • 7
    • 2442500782 scopus 로고    scopus 로고
    • Fractional Brownian motion via random walk in the complex plane and via fractional derivative. Comparison and further results on their Fokker-Planck equations
    • G. Jumarie Fractional Brownian motion via random walk in the complex plane and via fractional derivative. Comparison and further results on their Fokker-Planck equations Chaos, Solitons and Fractals 22 4 2004 907-925
    • (2004) Chaos, Solitons and Fractals , vol.22 , Issue.4 , pp. 907-925
    • Jumarie, G.1
  • 9
    • 0001936243 scopus 로고
    • Theory of differentiation of fractional order
    • A.V. Letnivov Theory of differentiation of fractional order Mathematics Sbornik 3 1868 1-7
    • (1868) Mathematics Sbornik , vol.3 , pp. 1-7
    • Letnivov, A.V.1
  • 11
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • B.B. Mandelbrot J.W. van Ness Fractional Brownian motions, fractional noises and applications SIAM Reveiw 10 1968 422-437
    • (1968) SIAM Reveiw , vol.10 , pp. 422-437
    • Mandelbrot, B.B.1    van Ness, J.W.2
  • 14
    • 0011090049 scopus 로고
    • Optimal consumption and portfolio rules in a continuous-time model
    • R.C. Merton Optimal consumption and portfolio rules in a continuous-time model Journal of Economic Theory 3 1971 373-413
    • (1971) Journal of Economic Theory , vol.3 , pp. 373-413
    • Merton, R.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.