메뉴 건너뛰기




Volumn 1, Issue 1, 2010, Pages 126-141

Short-maturity asymptotics for a fast mean-reverting heston stochastic volatility model

Author keywords

Heston model; Implied volatility smile skew; Large deviation principle; Multiscale asymptotics; Stochastic volatility

Indexed keywords


EID: 78649933969     PISSN: None     EISSN: 1945497X     Source Type: Journal    
DOI: 10.1137/090745465     Document Type: Article
Times cited : (53)

References (24)
  • 1
    • 32044451469 scopus 로고    scopus 로고
    • Laplace transforms for integrals of markov processes
    • C. Albanese and S. Lawi Laplace transforms for integrals of Markov processes Markov Process. Related Fields 11 (2005) pp. 677-724.
    • (2005) Markov Process. Related Fields , vol.11 , pp. 677-724
    • Albanese, C.1    Lawi, S.2
  • 2
    • 33845957927 scopus 로고    scopus 로고
    • Moment explosions in stochastic volatility models
    • L. Andersen and V. V. Piterbarg Moment explosions in stochastic volatility models Finance Stoch. 11 (2007) pp. 29-50.
    • (2007) Finance Stoch. , vol.11 , pp. 29-50
    • Andersen, L.1    Piterbarg, V.V.2
  • 4
    • 0037715212 scopus 로고    scopus 로고
    • Application of large deviation methods to the pricing of index options in finance
    • M. Avellaneda D. Boyer-Olson J. Busca and P. Friz Application of large deviation methods to the pricing of index options in finance C. R. Math. Acad. Sci. Paris 336 (2003) pp. 263-266.
    • (2003) C. R. Math. Acad. Sci. Paris , Issue.336 , pp. 263-266
    • Avellaneda, M.1    Boyer-Olson, D.2    Busca, J.3    Friz, P.4
  • 5
    • 85008832190 scopus 로고    scopus 로고
    • Asymptotics and calibration of local volatility models
    • H. Berestycki J. Busca and I. Florent Asymptotics and calibration of local volatility models Quant. Finance 2 (2002) pp. 61-69.
    • (2002) Quant. Finance , vol.2 , pp. 61-69
    • Berestycki, H.1    Busca, J.2    Florent, I.3
  • 6
    • 4544255779 scopus 로고    scopus 로고
    • Computing the implied volatility in stochastic volatility models
    • H. Berestycki J. Busca and I. Florent Computing the implied volatility in stochastic volatility models Comm. Pure Appl. Math. 57 (2004) pp. 1352-1373.
    • (2004) Comm. Pure Appl. Math. , vol.57 , pp. 1352-1373
    • Berestycki, H.1    Busca, J.2    Florent, I.3
  • 8
    • 0001668150 scopus 로고    scopus 로고
    • Transform analysis and asset pricing for affine jump diffusions
    • D. Duffie 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
  • 9
    • 70450170235 scopus 로고    scopus 로고
    • Small-time asymptotics for implied volatility under the heston model
    • M. Forde Small-time asymptotics for implied volatility under the Heston model Int. J. Theor. Appl. Finance 12 (2009) pp. 861-876.
    • (2009) Int. J. Theor. Appl. Finance , vol.12 , pp. 861-876
    • Forde, M.1
  • 14
    • 33750550159 scopus 로고    scopus 로고
    • A general asymptotic implied volatility for stochastic volatility models
    • also available online from
    • P. Henry-Labordére A general asymptotic implied volatility for stochastic volatility models in Proceedings "Petit d'ejeuner de la Finance" 2005; also available online from http://ssrn.com/abstract=698601.
    • (2005) Proceedings Petit d'ejeuner de la Finance
    • Henry-Labordére, P.1
  • 15
    • 77951583844 scopus 로고    scopus 로고
    • Combining the sabr and lvm models
    • October
    • P. Henry-Labordére Combining the SABR and LVM models Risk Magazine October (2007).
    • (2007) Risk Magazine
    • Henry-Labordére, P.1
  • 16
    • 77953667267 scopus 로고    scopus 로고
    • Explicit formulas for laplace transforms of stochastic integrals
    • T. R. Hurd and A. Kuznetsov Explicit formulas for Laplace transforms of stochastic integrals Markov Process. Related Fields 14 (2008) pp. 277-290.
    • (2008) Markov Process. Related Fields , vol.14 , pp. 277-290
    • Hurd, T.R.1    Kuznetsov, A.2
  • 18
    • 0038458950 scopus 로고    scopus 로고
    • Finance Press Orange County CA also available online from
    • A. Lewis Option Valuation under Stochastic Volatility Finance Press Orange County CA 2000; also available online from http://www.optioncity.net/ publications.htm.
    • (2000) Option Valuation under Stochastic Volatility
    • Lewis, A.1
  • 19
    • 85012545809 scopus 로고    scopus 로고
    • Stochastic volatility as a simple generator of apparent financial power laws and long memory
    • B. LeBaron Stochastic volatility as a simple generator of apparent financial power laws and long memory Quant. Finance 1 (2001) pp. 621-631.
    • (2001) Quant. Finance , vol.1 , pp. 621-631
    • LeBaron, B.1
  • 22
    • 84871084374 scopus 로고
    • Mosco convergence and large deviations
    • (Brunswick ME Progr. Probab.
    • S. L. Zabell Mosco convergence and large deviations in Probability in Banach Spaces 8 (Brunswick ME 1991) Progr. Probab. 30 R. M. Dudley M. G. Hahn and J. Kuelbs eds. Birkhǎuser Boston Boston MA 1992 pp. 245-252.
    • (1991) Probability in Banach Spaces , vol.8 , pp. 30
    • Zabell, S.L.1
  • 24
    • 0012617668 scopus 로고    scopus 로고
    • A risk-neutral stochastic volatility model
    • J. Zhu and M. Avellaneda A risk-neutral stochastic volatility model Int. J. Theor. Appl. Finance 1 (1997) pp. 289-310.
    • (1997) Int. J. Theor. Appl. Finance , vol.1 , pp. 289-310
    • Zhu, J.1    Avellaneda, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.