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Volumn 22, Issue 4, 2012, Pages 1541-1575

Small-time asymptotics for fast mean-reverting stochastic volatility models

Author keywords

Implied volatility smile skew; Large deviation principle; Multi scale asymptotic; Stochastic volatility

Indexed keywords


EID: 84872682316     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/11-AAP801     Document Type: Article
Times cited : (68)

References (30)
  • 2
    • 0037715212 scopus 로고    scopus 로고
    • Application oflarge deviation methods to the pricing of index options in finance
    • MR1968270
    • AVELLANEDA, M., BOYER-OLSON, D., BUSCA, J. and FRIZ, P. (2003). Application oflarge deviation methods to the pricing of index options in finance. C. R. Math. Acad. Sci. Paris 336 263-266. MR1968270
    • (2003) C. R. Math. Acad. Sci. Paris , vol.336 , pp. 263-266
    • Avellaneda, M.1    Boyer-Olson, D.2    Busca, J.3    Friz, P.4
  • 3
    • 79951575188 scopus 로고    scopus 로고
    • Convergence by viscosity methods in multiscale financial models with stochastic volatility
    • MR2658580
    • BARDI, M., CESARONI, A. and MANCA, L. (2010). Convergence by viscosity methods in multiscale financial models with stochastic volatility. SIAM J. Financial Math. 1 230265. MR2658580
    • (2010) SIAM J. Financial Math. , vol.1 , pp. 230-265
    • Bardi, M.1    Cesaroni, A.2    Manca, L.3
  • 4
    • 85008832190 scopus 로고    scopus 로고
    • Asymptotics and calibration oflocal volatility models
    • MR1919586
    • BERESTYCKI, H., BUSCA, J. and FLORENT, I. (2002). Asymptotics and calibration oflocal volatility models. Quant. Finance 2 61-69. MR1919586
    • (2002) Quant. Finance , vol.2 , pp. 61-69
    • Berestycki, H.1    Busca, J.2    Florent, I.3
  • 5
    • 4544255779 scopus 로고    scopus 로고
    • Computing the implied volatility in stochastic volatility models
    • MR2070207
    • BERESTYCKI, H., BUSCA, J. and FLORENT, I. (2004). Computing the implied volatility in stochastic volatility models. Comm. Pure Appl. Math. 57 1352-1373. MR2070207
    • (2004) Comm. Pure Appl. Math. , vol.57 , pp. 1352-1373
    • Berestycki, H.1    Busca, J.2    Florent, I.3
  • 7
    • 0347427624 scopus 로고    scopus 로고
    • Large deviations techniques and applications, 2nd ed
    • Springer, New York MR1619036
    • DEMBO, A. and ZEITOUNI, O. (1998). Large Deviations Techniques and Applications, 2nd ed. Applications of Mathematics (New York) 38. Springer, New York. MR1619036
    • (1998) Applications of Mathematics (New York) , vol.38
    • Dembo, A.1    Zeitouni, O.2
  • 8
    • 0001668150 scopus 로고    scopus 로고
    • Transform analysis and asset pricing for affinejump-diffusions
    • MR1793362
    • DUFFIE, D., PAN, J. and SINGLETON, K. (2000). Transform analysis and asset pricing for affinejump-diffusions. Econometrica 68 1343-1376. MR1793362
    • (2000) Econometrica , vol.68 , pp. 1343-1376
    • Duffie, D.1    Pan, J.2    Singleton, K.3
  • 10
    • 0003228130 scopus 로고    scopus 로고
    • Partial differential equations. Graduate studies in mathematics 19
    • Providence, RI MR1625845
    • EVANS, L. C. (1998). Partial Differential Equations. Graduate Studies in Mathematics 19. Amer. Math. Soc., Providence, RI. MR1625845
    • (1998) Amer. Math. Soc
    • Evans, L.C.1
  • 11
    • 0033147724 scopus 로고    scopus 로고
    • Martingale problems for large deviations of Markov processes
    • MR1694569
    • FENG, J. (1999). Martingale problems for large deviations of Markov processes. Stochastic Process. Appl. 81 165-216. MR1694569
    • (1999) Stochastic Process. Appl. , vol.81 , pp. 165-216
    • Feng, J.1
  • 12
    • 78649933969 scopus 로고    scopus 로고
    • Short-maturity asymptotics for a fast mean-reverting Heston stochastic volatility model
    • MR2592567
    • FENG, J., FORDE, M. and FOUQUE, J.-P. (2010). Short-maturity asymptotics for a fast mean-reverting Heston stochastic volatility model. SIAM J. Financial Math. 1 126-141. MR2592567
    • (2010) SIAM J. Financial Math. , vol.1 , pp. 126-141
    • Feng, J.1    Forde, M.2    Fouque, J.-P.3
  • 13
    • 42349089599 scopus 로고    scopus 로고
    • Large deviationsfor stochastic processes
    • Amer. Math. Soc., Providence, RI MR2260560
    • FENG, J. and KURTZ, T. G. (2006). Large Deviationsfor Stochastic Processes. Mathematical Surveys and Monographs 131. Amer. Math. Soc., Providence, RI. MR2260560
    • (2006) Mathematical Surveys and Monographs , vol.131
    • Feng, J.1    Kurtz, T.G.2
  • 14
    • 0003423896 scopus 로고    scopus 로고
    • Controlled markov processes and viscosity solutions, 2nd ed
    • Springer, New York MR2179357
    • FLEMING, W. H. and SONER, H. M. (2006). Controlled Markov Processes and Viscosity Solutions, 2nd ed. Stochastic Modelling and Applied Probability 25. Springer, New York. MR2179357
    • (2006) Stochastic Modelling and Applied Probability , vol.25
    • Fleming, W.H.1    Soner, H.M.2
  • 15
    • 70450170235 scopus 로고    scopus 로고
    • Small-time asymptotics for implied volatility under the Heston model
    • MR2590295
    • FORDE, M. and JACQUIER, A. (2009). Small-time asymptotics for implied volatility under the Heston model. Int. J. Theor Appl. Finance 12 861-876. MR2590295
    • (2009) Int. J. Theor Appl. Finance , vol.12 , pp. 861-876
    • Forde, M.1    Jacquier, A.2
  • 20
    • 33750550159 scopus 로고    scopus 로고
    • A general asymptotic implied volatility for stochastic volatility models
    • HENRY-LABORDÈRE, P. (2005). A general asymptotic implied volatility for stochastic volatility models. In Proceedings "Petit Déjeuner de la Finance. " Available at http://ssrn.com/abstract= 698601.
    • (2005) Proceedings "petit Déjeuner de la Finance
    • Henry-Labordère, P.1
  • 21
    • 77951583844 scopus 로고    scopus 로고
    • Combining the SABR and LMM models
    • HENRY-LABORDÈRE, P. (2007). Combining the SABR and LMM models. Risk Magazine 20 102-107.
    • (2007) Risk Magazine , vol.20 , pp. 102-107
    • Henry-Labordère, P.1
  • 23
    • 84879105127 scopus 로고
    • Brownian motion and stochastic calculus, 2nd ed
    • Springer, New York MR1121940
    • KARATZAS, I. and SHREVE, S. E. (1991). Brownian Motion and Stochastic Calculus, 2nd ed. Graduate Texts in Mathematics 113. Springer, New York. MR1121940
    • (1991) Graduate Texts in Mathematics , vol.113
    • Karatzas, I.1    Shreve, S.E.2
  • 25
    • 0003261160 scopus 로고
    • Essentials of brownian motion and diffusion
    • Amer. Math. Soc., Providence, RI MR0613983
    • KNIGHT, F. B. (1981). Essentials of Brownian Motion and Diffusion. Mathematical Surveys 18. Amer. Math. Soc., Providence, RI. MR0613983
    • (1981) Mathematical Surveys , vol.18
    • Knight, F.B.1
  • 26
    • 15944385310 scopus 로고    scopus 로고
    • Large deviations asymptotics and the spectral theory ofmultiplicatively regular Markov processes
    • (electronic) MR2120240
    • KONTOYIANNIS, I. and MEYN, S. P. (2005). Large deviations asymptotics and the spectral theory ofmultiplicatively regular Markov processes. Electron. J. Probab. 10 61-123 (electronic). MR2120240
    • (2005) Electron. J. Probab. , vol.10 , pp. 61-123
    • Kontoyiannis, I.1    Meyn, S.P.2
  • 27
    • 85012545809 scopus 로고    scopus 로고
    • Stochastic volatility as a simple generator of apparent financial power laws and long memory
    • MR1870018
    • LEBARON, B. (2001). Stochastic volatility as a simple generator of apparent financial power laws and long memory. Quant. Finance 1 621-631. MR1870018
    • (2001) Quant. Finance , vol.1 , pp. 621-631
    • Lebaron, B.1


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