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Volumn 5848, Issue , 2005, Pages 131-139

Variable step random walks, self-similar distributions and pricing of options

Author keywords

[No Author keywords available]

Indexed keywords

CURRENCY MARKETS; PRICING FORMULAE;

EID: 28444478073     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.618948     Document Type: Conference Paper
Times cited : (7)

References (31)
  • 1
    • 0007188256 scopus 로고    scopus 로고
    • John Wiley & Sons, Ltd., Chischester
    • N. Dunbar, "Inventing Money," John Wiley & Sons, Ltd., Chischester, 2000.
    • (2000) Inventing Money
    • Dunbar, N.1
  • 5
    • 28444440797 scopus 로고    scopus 로고
    • This is the price assigned by the market on the basis of factors such as the historical performance and future expectations for the growth of a stock
    • This is the price assigned by the market on the basis of factors such as the historical performance and future expectations for the growth of a stock.
  • 6
    • 28444436475 scopus 로고    scopus 로고
    • note
    • In this paper, we assign the term "event" to describe a (finite) movement in the return at any time. It is assumed that the distribution of returns at a time t (due to many successive events) can be approximated by a probability density function defined on a continuum. These conventions follow the treatment of Ref. [3].
  • 11
    • 0029958553 scopus 로고    scopus 로고
    • Nature, 383, 587 (1996).
    • (1996) Nature , vol.383 , pp. 587
  • 19
    • 0004277199 scopus 로고    scopus 로고
    • Scaling in stock market data: Stable laws and beyond
    • Scale invariance and Beyond, Eds. B. Dubrulle, F. Graner, and D. Sornette, Springer, Berlin
    • R. Cont, M. Potters, and J.-P. Bouchaud, "Scaling in stock market data: stable laws and beyond," in "Scale invariance and Beyond," Proceedings of the CNRS workshop on scale invariance, Eds. B. Dubrulle, F. Graner, and D. Sornette, Springer, Berlin, 1997.
    • (1997) Proceedings of the CNRS Workshop on Scale Invariance
    • Cont, R.1    Potters, M.2    Bouchaud, J.-P.3
  • 21
    • 0141989988 scopus 로고    scopus 로고
    • An empirical model of volatility of retuns and options pricing
    • to appear
    • J. L. McCauley and G. H. Gunaratne, "An Empirical Model of Volatility of Retuns and Options Pricing," to appear in Physica A (2003).
    • (2003) Physica A
    • McCauley, J.L.1    Gunaratne, G.H.2
  • 22
    • 0002004145 scopus 로고
    • B. Dupire, RISK, 7, 18 (1994).
    • (1994) RISK , vol.7 , pp. 18
    • Dupire, B.1
  • 23
    • 28444434339 scopus 로고    scopus 로고
    • A. Arneodo, J.-P. Bouchaud, R. Cont, J.-F. Muzy, M. Potters, and D. Sornette, cond-mat/9607120 at lanl.arXiv.org
    • A. Arneodo, J.-P. Bouchaud, R. Cont, J.-F. Muzy, M. Potters, and D. Sornette, cond-mat/9607120 at lanl.arXiv.org.
  • 26
    • 28444485528 scopus 로고    scopus 로고
    • note
    • Possibilities that include anomalous diffusion have been considered in, for example, Refs. [10] and [18].
  • 27
    • 0032777343 scopus 로고    scopus 로고
    • Fokker-Planck equations with variable R and D have been used previously to describe dynamics of financial markets, see for example S. Maslov and Y.-C. Zhang, Physica A, 262, 232 (1999)
    • (1999) Physica A , vol.262 , pp. 232
    • Maslov, S.1    Zhang, Y.-C.2
  • 28
    • 28444491636 scopus 로고    scopus 로고
    • L. Ramusson and E. Aurell, cs.NI.0102011 at arXiv. Non-linear Fokker-Planck equations have also been proposed, see Ref. [13]
    • and L. Ramusson and E. Aurell, cs.NI.0102011 at arXiv. Non-linear Fokker-Planck equations have also been proposed, see Ref. [13].
  • 29
    • 28444493211 scopus 로고    scopus 로고
    • note
    • 0; the process is a Martingale.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.