메뉴 건너뛰기




Volumn 11, Issue 1, 2007, Pages 29-50

Moment explosions in stochastic volatility models

Author keywords

CEV model; Displaced diffusion model; Heston model; Integrability; Martingale property; Moment explosion; Stochastic volatility; Volatility smile asymptotics

Indexed keywords


EID: 33845957927     PISSN: 09492984     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00780-006-0011-7     Document Type: Article
Times cited : (259)

References (31)
  • 1
    • 0142077325 scopus 로고    scopus 로고
    • Volatile volatilities
    • Andersen, L., Andreasen, J.: Volatile volatilities. RISK, 15(12), 163-168 (2002)
    • (2002) RISK , vol.15 , Issue.12 , pp. 163-168
    • Andersen, L.1    Andreasen, J.2
  • 2
    • 33845958424 scopus 로고    scopus 로고
    • Extended LIBOR market models with stochastic volatility
    • Andersen, L., Brotherton-Ratcliffe, R.: Extended LIBOR market models with stochastic volatility. J. Comput. Financ. 9, 1-40 (2005)
    • (2005) J. Comput. Financ , vol.9 , pp. 1-40
    • Andersen, L.1    Brotherton-Ratcliffe, R.2
  • 6
    • 0041669393 scopus 로고    scopus 로고
    • Do bonds span fixed income markets: Theory and evidence for unspanned stochastic volatility
    • Collin-Dufresne, P., Goldstein, R.: Do bonds span fixed income markets: Theory and evidence for unspanned stochastic volatility. J. Financ. 57, 1685-1730 (2002)
    • (2002) J. Financ , vol.57 , pp. 1685-1730
    • Collin-Dufresne, P.1    Goldstein, R.2
  • 7
    • 24144464306 scopus 로고    scopus 로고
    • Local martingales, bubbles and option prices
    • Cox, A., Hobson, D.: Local martingales, bubbles and option prices. Financ. Stoch. 9, 477-492 (2005)
    • (2005) Financ. Stoch , vol.9 , pp. 477-492
    • Cox, A.1    Hobson, D.2
  • 8
    • 0001205798 scopus 로고
    • A theory of the term structure of interest rates
    • Cox, J., Ingersoll, J., Ross, S.: A theory of the term structure of interest rates. Econometrica 3, 385-408 (1985)
    • (1985) Econometrica , vol.3 , pp. 385-408
    • Cox, J.1    Ingersoll, J.2    Ross, S.3
  • 9
    • 0001029151 scopus 로고
    • The valuation of options for alternative stochastic processes
    • Cox, J., Ross, S.: The valuation of options for alternative stochastic processes. J. Financ. Econ. 7, 229-263 (1976)
    • (1976) J. Financ. Econ , vol.7 , pp. 229-263
    • Cox, J.1    Ross, S.2
  • 10
    • 85008828877 scopus 로고    scopus 로고
    • Probability distribution of returns in the Heston model with stochastic volatility
    • Dragulescu, A., Yakovenko, V.: Probability distribution of returns in the Heston model with stochastic volatility. Quant. Financ. 2, 443-453 (2002)
    • (2002) Quant. Financ , vol.2 , pp. 443-453
    • Dragulescu, A.1    Yakovenko, V.2
  • 14
    • 0037836721 scopus 로고
    • A closed-form solution for options with stochastic volatility with applications to bond and currency options
    • Heston, S.: A closed-form solution for options with stochastic volatility with applications to bond and currency options. Rev. Financ. Stud. 6, 327-343 (1993)
    • (1993) Rev. Financ. Stud , vol.6 , pp. 327-343
    • Heston, S.1
  • 16
    • 33845937163 scopus 로고    scopus 로고
    • Exponential integrability of diffusion processes
    • Hill, T.P, Houdré, C, eds, Advances in stochastic inequalities, American Mathematical Society, New York
    • Hu, Y.: Exponential integrability of diffusion processes. In: Hill, T.P., Houdré, C. (eds.) Advances in stochastic inequalities. Contemporary Mathematics, vol. 234, pp 75-84. American Mathematical Society, New York (1999)
    • (1999) Contemporary Mathematics , vol.234 , pp. 75-84
    • Hu, Y.1
  • 17
    • 84977709229 scopus 로고
    • The pricing of options on assets with stochastic volatilities
    • Hull, J., White, A.: The pricing of options on assets with stochastic volatilities. J. Financ. 42, 281-300 (1987)
    • (1987) J. Financ , vol.42 , pp. 281-300
    • Hull, J.1    White, A.2
  • 18
    • 0000930148 scopus 로고    scopus 로고
    • Libor and swap market models and measures
    • Jamshidian, F.: Libor and swap market models and measures. Financ. Stoch. 1, 293-330 (1997)
    • (1997) Financ. Stoch , vol.1 , pp. 293-330
    • Jamshidian, F.1
  • 20
    • 0346331739 scopus 로고    scopus 로고
    • A stochastic volatility displaced diffusion extension of the Libor market model
    • Joshi, M., Rebonato, R.: A stochastic volatility displaced diffusion extension of the Libor market model. Quant. Financ. 6, 458-469 (2003)
    • (2003) Quant. Financ , vol.6 , pp. 458-469
    • Joshi, M.1    Rebonato, R.2
  • 23
    • 3142706161 scopus 로고    scopus 로고
    • The moment formula for implied volatility at extreme strikes
    • Lee, R.: The moment formula for implied volatility at extreme strikes. Math. Financ. 14, 469-480 (2004)
    • (2004) Math. Financ , vol.14 , pp. 469-480
    • Lee, R.1
  • 25
    • 33645057933 scopus 로고    scopus 로고
    • Unspanned stochastic volatility: Evidence from hedging interest rate caps
    • Li, H., Zhao, F.: Unspanned stochastic volatility: Evidence from hedging interest rate caps. J. Financ. 61, 341-378 (2006)
    • (2006) J. Financ , vol.61 , pp. 341-378
    • Li, H.1    Zhao, F.2
  • 26
    • 33845919083 scopus 로고
    • Divergence, convergence and moments of some integral functionals of diffusions
    • Musiela, M.: Divergence, convergence and moments of some integral functionals of diffusions. Z. Wahrsch. verw. Gebiete 70, 49-65 (1985)
    • (1985) Z. Wahrsch. verw. Gebiete , vol.70 , pp. 49-65
    • Musiela, M.1
  • 27
    • 22144482358 scopus 로고    scopus 로고
    • Stochastic volatility model with time-dependent skew
    • Piterbarg, V.: Stochastic volatility model with time-dependent skew. Appl. Math. Financ. 12, 147-185 (2005)
    • (2005) Appl. Math. Financ , vol.12 , pp. 147-185
    • Piterbarg, V.1
  • 29
    • 0031519260 scopus 로고    scopus 로고
    • A note on the stability of lognormal interest rate models and the pricing of Eurodollar futures
    • Sandmann, K., Sondermann, D.: A note on the stability of lognormal interest rate models and the pricing of Eurodollar futures. Math. Financ. 7, 119-125 (1997)
    • (1997) Math. Financ , vol.7 , pp. 119-125
    • Sandmann, K.1    Sondermann, D.2
  • 30
    • 0032023043 scopus 로고    scopus 로고
    • Complications with stochastic volatility models
    • Sin, C.: Complications with stochastic volatility models. Adv. Appl. Probab. 30, 256-268 (1998)
    • (1998) Adv. Appl. Probab , vol.30 , pp. 256-268
    • Sin, C.1
  • 31
    • 10244236663 scopus 로고    scopus 로고
    • On the martingale property of stochastic exponentials
    • Wong, B., Heyde, C.: On the martingale property of stochastic exponentials. J. Appl. Probab. 41, 654-664 (2004)
    • (2004) J. Appl. Probab , vol.41 , pp. 654-664
    • Wong, B.1    Heyde, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.