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Volumn 31, Issue 1, 2008, Pages 13-32

Path dependent volatility

Author keywords

Kolmogorov equations; Option pricing; Volatility modeling

Indexed keywords


EID: 41349116321     PISSN: 15938883     EISSN: 11296569     Source Type: Journal    
DOI: 10.1007/s10203-007-0076-6     Document Type: Article
Times cited : (17)

References (28)
  • 2
    • 0035589122 scopus 로고    scopus 로고
    • Some results on partial differential equations and Asian options
    • Barucci E., Polidoro S. and Vespri V. (2001). Some results on partial differential equations and Asian options. Math. Models Methods Appl. Sci. 11(3): 475-497
    • (2001) Math. Models Methods Appl. Sci. , vol.11 , Issue.3 , pp. 475-497
    • Barucci, E.1    Polidoro, S.2    Vespri, V.3
  • 3
    • 85015692260 scopus 로고
    • The pricing of options and corporate liabilities
    • Black F. and Scholes M. (1973). The pricing of options and corporate liabilities. J. Polit. Econ. 81: 637-654
    • (1973) J. Polit. Econ. , vol.81 , pp. 637-654
    • Black, F.1    Scholes, M.2
  • 4
    • 41349105061 scopus 로고    scopus 로고
    • Financial models with dependence on the past: A survey. [Applied and Industrial Mathematics in Italy.]
    • In: Primicerio, M., Spigler, R., Valente V. (eds.)]
    • Blaka Hallulli, V., Vargiolu, T.: Financial models with dependence on the past: A survey. [Applied and Industrial Mathematics in Italy.] In: Primicerio, M., Spigler, R., Valente V. (eds.)] Series on Advances in Mathematics for Applied Sciences. World Scientific 2005, Vol. 69 (2005)
    • (2005) Series on Advances in Mathematics for Applied Sciences. World Scientific 2005 , vol.69
    • Blaka Hallulli, V.1    Vargiolu, T.2
  • 5
    • 0002488565 scopus 로고    scopus 로고
    • Option pricing and the fast fourier transform
    • Carr P. and Madan D. (1999). Option pricing and the fast fourier transform. J. Computat. Finance 2(4): 61-73
    • (1999) J. Computat. Finance , vol.2 , Issue.4 , pp. 61-73
    • Carr, P.1    Madan, D.2
  • 6
    • 34548103140 scopus 로고    scopus 로고
    • A complete Markovian stochastic volatility model in the HJM framework
    • Chiarella C. and Kwon K. (2000). A complete Markovian stochastic volatility model in the HJM framework. Asia-Pacific Finan. Markets 7: 293-304
    • (2000) Asia-Pacific Finan. Markets , vol.7 , pp. 293-304
    • Chiarella, C.1    Kwon, K.2
  • 7
    • 33745038284 scopus 로고    scopus 로고
    • Model uncertainty and its impact on the pricing of derivative instruments
    • Cont R. (2006). Model uncertainty and its impact on the pricing of derivative instruments. Math. Finance 16(3): 519-547
    • (2006) Math. Finance , vol.16 , Issue.3 , pp. 519-547
    • Cont, R.1
  • 8
    • 33745032440 scopus 로고    scopus 로고
    • Recovering volatility from option prices by evolutionary optimization
    • Cont R. and BenHamida S. (2005). Recovering volatility from option prices by evolutionary optimization. J. Comput. Finance 8(4): 43-76
    • (2005) J. Comput. Finance , vol.8 , Issue.4 , pp. 43-76
    • Cont, R.1    BenHamida, S.2
  • 9
    • 1542722208 scopus 로고    scopus 로고
    • Complete-market models of stochastic volatility
    • (Stochastic analysis with applications to mathematical finance)
    • Davis M.H.A. (2004). Complete-market models of stochastic volatility. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 460(2041): 11-26 (Stochastic analysis with applications to mathematical finance)
    • (2004) Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. , vol.460 , Issue.2041 , pp. 11-26
    • Davis, M.H.A.1
  • 10
    • 17144421288 scopus 로고    scopus 로고
    • On the complete model with stochastic volatility by Hobson and Rogers
    • Di Francesco M. and Pascucci A. (2004). On the complete model with stochastic volatility by Hobson and Rogers.Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 460(2051): 3327-3338
    • (2004) Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. , vol.460 , Issue.2051 , pp. 3327-3338
    • Di Francesco, M.1    Pascucci, A.2
  • 11
    • 33845277179 scopus 로고    scopus 로고
    • On a class of degenerate parabolic equations of Kolmogorov type
    • Di Francesco M. and Pascucci A. (2005). On a class of degenerate parabolic equations of Kolmogorov type. AMRX Appl. Math. Res. Express 3: 77-116
    • (2005) AMRX Appl. Math. Res. Express , vol.3 , pp. 77-116
    • Di Francesco, M.1    Pascucci, A.2
  • 13
    • 41349096601 scopus 로고    scopus 로고
    • The obstacle problem for a class of hypoelliptic ultraparabolic equations
    • (in press)
    • Di Francesco, M., Pascucci, A., Polidoro, S.: The obstacle problem for a class of hypoelliptic ultraparabolic equations. Proc. R. Soc. Lond. A (2007)(in press)
    • (2007) Proc. R. Soc. Lond. A
    • Di Francesco, M.1    Pascucci, A.2    Polidoro, S.3
  • 14
    • 0345923875 scopus 로고    scopus 로고
    • Implied volatility functions: Empirical tests
    • Dumas B., Fleming J. and Whaley R.E. (1998). Implied volatility functions: Empirical tests. J. Finance 53: 2059-2106
    • (1998) J. Finance , vol.53 , pp. 2059-2106
    • Dumas, B.1    Fleming, J.2    Whaley, R.E.3
  • 15
    • 0002995596 scopus 로고    scopus 로고
    • Pricing and hedging with smiles
    • In: Mathematics of Derivative Securities (Cambridge, 1995) Cambridge University Press, Cambridge (1997)
    • Dupire, B.: Pricing and hedging with smiles. In: Mathematics of Derivative Securities (Cambridge, 1995) Publ. Newton Inst. vol.15 pp. 103-111. Cambridge University Press, Cambridge (1997)
    • Publ. Newton Inst. , vol.15 , pp. 103-111
    • Dupire, B.1
  • 16
    • 32144461541 scopus 로고    scopus 로고
    • Fitting prices with a complete model
    • Figà-Talamanca G. and Guerra M.L. (2006). Fitting prices with a complete model. J. Bank. Finance 30(1): 247-258
    • (2006) J. Bank. Finance , vol.30 , Issue.1 , pp. 247-258
    • Figà-Talamanca, G.1    Guerra, M.L.2
  • 18
    • 4944242971 scopus 로고    scopus 로고
    • On oscillations of the geometric Brownian motion with time-delayed drift
    • Gushchin A.A. and Küchler U. (2004). On oscillations of the geometric Brownian motion with time-delayed drift.. Stat. Probab. Lett. 70(1): 19-24
    • (2004) Stat. Probab. Lett. , vol.70 , Issue.1 , pp. 19-24
    • Gushchin, A.A.1    Küchler, U.2
  • 19
    • 41349106923 scopus 로고    scopus 로고
    • Portfolio optimization with non-constant volatility and partial information
    • Hahn M., Putschögl W. and Sass J. (2007). Portfolio optimization with non-constant volatility and partial information. Braz. J. Probab. Stat. 21: 27-61
    • (2007) Braz. J. Probab. Stat. , vol.21 , pp. 27-61
    • Hahn, M.1    Putschögl, W.2    Sass, J.3
  • 20
    • 0037836721 scopus 로고
    • A closed-form solution for options with stochastic volatility with applications to bond and currency options
    • Heston S.L. (1993). A closed-form solution for options with stochastic volatility with applications to bond and currency options. Rev. Finan. Stud. 6: 327-343
    • (1993) Rev. Finan. Stud. , vol.6 , pp. 327-343
    • Heston, S.L.1
  • 21
    • 0032221561 scopus 로고    scopus 로고
    • Complete models with stochastic volatility
    • Hobson D.G. and Rogers L.C.G. (1998). Complete models with stochastic volatility. Math. Finance 8(1): 27-48
    • (1998) Math. Finance , vol.8 , Issue.1 , pp. 27-48
    • Hobson, D.G.1    Rogers, L.C.G.2
  • 22
    • 15244346736 scopus 로고
    • Hypoelliptic second order differential equations
    • Hörmander L. (1967). Hypoelliptic second order differential equations. Acta Math. 119: 147-171
    • (1967) Acta Math. , vol.119 , pp. 147-171
    • Hörmander, L.1
  • 24
    • 0015602539 scopus 로고
    • Theory of rational option pricing
    • Merton R.C. (1973). Theory of rational option pricing. Bell J. Econ. Manag. Sci. 4: 141-183
    • (1973) Bell J. Econ. Manag. Sci. , vol.4 , pp. 141-183
    • Merton, R.C.1
  • 27
    • 0000789455 scopus 로고
    • Uniqueness and representation theorems for solutions of Kolmogorov-Fokker-Planck equations
    • Polidoro S. (1995). Uniqueness and representation theorems for solutions of Kolmogorov-Fokker-Planck equations. Rend. Mat. Appl. 15(7): 535-560
    • (1995) Rend. Mat. Appl. , vol.15 , Issue.7 , pp. 535-560
    • Polidoro, S.1
  • 28
    • 33846233107 scopus 로고    scopus 로고
    • Issues of aggregation over time of conditional heteroscedastic volatility models: What kind of diffusion do we recover?
    • Trifi, A.: Issues of aggregation over time of conditional heteroscedastic volatility models: What kind of diffusion do we recover? Stud. Nonlinear Dyn. Econ. 10(4) (2006)
    • (2006) Stud. Nonlinear Dyn. Econ. , vol.10 , Issue.4
    • Trifi, A.1


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