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Volumn 31, Issue 2, 2002, Pages 179-189

Stock exchange dynamics involving both Gaussian and Poissonian white noises: Approximate solution via a symbolic stochastic calculus

Author keywords

Black Scholes equation; Fractional Brownian motion; Poissonian white noise; Stock exchange dynamics; Symbolic stochastic calculus

Indexed keywords


EID: 0037131140     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6687(02)00131-2     Document Type: Article
Times cited : (6)

References (14)
  • 2
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    • The pricing of options and corporate liabilities
    • Black, F., Scholes, M., 1973. The pricing of options and corporate liabilities. Journal of Political Economy 81, 637-654.
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    • Black, F.1    Scholes, M.2
  • 3
    • 0010948631 scopus 로고
    • Stochastic process models in structural engineering
    • Technical Report 34. Department of Civil Engineering, Standford University, Stanford, CA
    • Cornell, C.A., 1964. Stochastic process models in structural engineering. Technical Report 34. Department of Civil Engineering, Standford University, Stanford, CA.
    • (1964)
    • Cornell, C.A.1
  • 4
    • 0032113775 scopus 로고    scopus 로고
    • On the discounted penalty at ruin in jump-diffusion and the perpetual put option
    • Gerber, H.U., Landry, B., 1998. On the discounted penalty at ruin in jump-diffusion and the perpetual put option. Insurance: Mathematics and Economics 22, 263-276.
    • (1998) Insurance: Mathematics and Economics , vol.22 , pp. 263-276
    • Gerber, H.U.1    Landry, B.2
  • 7
    • 0003618724 scopus 로고    scopus 로고
    • Maximum Entropy, Information without Probability and Complex Fractals, Classical and Quantum Approach
    • Kluwer Academic Publishers, Dordrecht
    • Jumarie, G., 2000. Maximum Entropy, Information without Probability and Complex Fractals, Classical and Quantum Approach. Kluwer Academic Publishers, Dordrecht.
    • (2000)
    • Jumarie, G.1
  • 9
    • 85003281758 scopus 로고
    • Application of non-stationary shot noise in the study of system response to non-stationary excitations
    • ASME
    • Lin, Y.K., 1963. Application of non-stationary shot noise in the study of system response to non-stationary excitations. Journal of Applied Mechanics, ASME 30, 555-558.
    • (1963) Journal of Applied Mechanics , vol.30 , pp. 555-558
    • Lin, Y.K.1
  • 10
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • Mandelbrot, B.B., van Ness, J.W., 1968. Fractional Brownian motions, fractional noises and applications. SIAM Review 10, 422-437.
    • (1968) SIAM Review , vol.10 , pp. 422-437
    • Mandelbrot, B.B.1    van Ness, J.W.2
  • 11
    • 34248474317 scopus 로고
    • Option pricing when underlying stock returns are discontinuous
    • Merton, R.C., 1976. Option pricing when underlying stock returns are discontinuous. Journal of Financial Economics 3, 125-144.
    • (1976) Journal of Financial Economics , vol.3 , pp. 125-144
    • Merton, R.C.1
  • 12
    • 0004140926 scopus 로고
    • The Fokker-Planck Equation
    • Springer, Berlin
    • Risken, H., 1984. The Fokker-Planck Equation. Springer, Berlin.
    • (1984)
    • Risken, H.1
  • 13
    • 0001999564 scopus 로고
    • Systems response to random impulse
    • Roberts, J.B., 1972. Systems response to random impulse. Journal of Sound Vibration 24 (1), 23-34.
    • (1972) Journal of Sound Vibration , vol.24 , Issue.1 , pp. 23-34
    • Roberts, J.B.1
  • 14
    • 0003029301 scopus 로고
    • Random response of highway bridges to vehicle loads
    • ASCE
    • Tung, C.C., 1967. Random response of highway bridges to vehicle loads. Journal of Engineering Mechanics, ASCE 93, 79-94.
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    • Tung, C.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.