메뉴 건너뛰기




Volumn 10, Issue 1, 2010, Pages 39-47

Well-posedness and invariant measures for HJM models with deterministic volatility and Lévy noise

Author keywords

American style derivative securities; Continuous time finance; Control of stochastic systems; Differential equations; Term structure

Indexed keywords


EID: 74549151704     PISSN: 14697688     EISSN: 14697696     Source Type: Journal    
DOI: 10.1080/14697680802595692     Document Type: Article
Times cited : (7)

References (30)
  • 1
    • 8444250649 scopus 로고    scopus 로고
    • A model of the term structure of interest rates based on Lévy fields
    • Albeverio, S., Lytvynov, E. and Mahnig, A., A model of the term structure of interest rates based on Lévy fields. Stochast. Process. Applic., 2004, 114, 251-263.
    • (2004) Stochast. Process. Applic. , vol.114 , pp. 251-263
    • Albeverio, S.1    Lytvynov, E.2    Mahnig, A.3
  • 3
    • 0011300453 scopus 로고
    • On processes of Ornstein-Uhlenbeck type in Hilbert space
    • Chojnowska-Michalik, A., On processes of Ornstein-Uhlenbeck type in Hilbert space. Stochastics, 1987, 21, 251-286.
    • (1987) Stochastics , vol.21 , pp. 251-286
    • Chojnowska-Michalik, A.1
  • 7
    • 0142109841 scopus 로고
    • Banach space valued processes with independent increments and stochastic integration
    • In, IV (Oberwolfach, 1982), (Lecture Notes in Mathematics), (Springer: Berlin)
    • Dettweiler, E., Banach space valued processes with independent increments and stochastic integration, In Probability in Banach Spaces, IV (Oberwolfach, 1982), (Lecture Notes in Mathematics, Vol. 990), pp. 54-83, 1983 (Springer: Berlin).
    • (1983) Probability In Banach Spaces , vol.990 , pp. 54-83
    • Dettweiler, E.1
  • 8
    • 11144277306 scopus 로고    scopus 로고
    • Lévy term structure models: No-arbitrage and completeness
    • Eberlein, E., Jacod, J. and Raible, S., Lévy term structure models: no-arbitrage and completeness. Finan. Stochast., 2005, 9, 67-88.
    • (2005) Finan. Stochast. , vol.9 , pp. 67-88
    • Eberlein, E.1    Jacod, J.2    Raible, S.3
  • 9
    • 21244472375 scopus 로고    scopus 로고
    • A theory of bond portfolios
    • Ekeland, I. and Taflin, E., A theory of bond portfolios. Ann. Appl. Probab., 2005, 15, 1260-1305.
    • (2005) Ann. Appl. Probab. , vol.15 , pp. 1260-1305
    • Ekeland, I.1    Taflin, E.2
  • 12
    • 0042640592 scopus 로고    scopus 로고
    • Generalized Mehler semigroups: The non-Gaussian case
    • Fuhrman, M. and Röckner, M., Generalized Mehler semigroups: the non-Gaussian case. Potential Anal., 2000, 12, 1-47.
    • (2000) Potential Anal , vol.12 , pp. 1-47
    • Fuhrman, M.1    Röckner, M.2
  • 14
    • 0345648621 scopus 로고    scopus 로고
    • Infinite dimensional diffusions, Kolmogorov equations and interest rate models
    • In, (Cambridge University Press: Cambridge)
    • Goldys, B. and Musiela, M., Infinite dimensional diffusions, Kolmogorov equations and interest rate models, In Option Pricing, Interest Rates and Risk Management, pp. 314-335, 2001 (Cambridge University Press: Cambridge).
    • (2001) Option Pricing, Interest Rates and Risk Management , pp. 314-335
    • Goldys, B.1    Musiela, M.2
  • 15
    • 0002674207 scopus 로고
    • Bond pricing and the term structure of interest rates: A new methodology for contingent claims valuation
    • Heath, D.C., Jarrow, R.A. and Morton, A., Bond pricing and the term structure of interest rates: a new methodology for contingent claims valuation. Econometrica, 1992, 60, 77-105.
    • (1992) Econometrica , vol.60 , pp. 77-105
    • Heath, D.C.1    Jarrow, R.A.2    Morton, A.3
  • 17
    • 34547197378 scopus 로고    scopus 로고
    • Exponential moments for HJM models with jumps
    • Jakubowski, J. and Zabczyk, J., Exponential moments for HJM models with jumps. Finan, Stochast., 2007, 11, 429-445.
    • (2007) Finan Stochast , vol.11 , pp. 429-445
    • Jakubowski, J.1    Zabczyk, J.2
  • 19
    • 0036756074 scopus 로고    scopus 로고
    • Generators of Mehler-type semigroups as pseudo-differential operators
    • Lescot, P. and Röckner, M., Generators of Mehler-type semigroups as pseudo-differential operators. Infin. Dimens. Anal. Quant. Probab. Relat. Top, 2002, 5, 297-315.
    • (2002) Infin. Dimens. Anal. Quant. Probab. Relat. Top , vol.5 , pp. 297-315
    • Lescot, P.1    Röckner, M.2
  • 20
    • 3943079984 scopus 로고    scopus 로고
    • Perturbations of generalized Mehler semigroups and applications to stochastic heat equations with Lévy noise and singular drift
    • Lescot, P. and Röckner, M., Perturbations of generalized Mehler semigroups and applications to stochastic heat equations with Lévy noise and singular drift. Potential Anal., 2004, 20, 317-344.
    • (2004) Potential Anal , vol.20 , pp. 317-344
    • Lescot, P.1    Röckner, M.2
  • 22
    • 0003016074 scopus 로고
    • Hardy's inequality with weights
    • Muckenhoupt, B., Hardy's inequality with weights. Studia Math., 1972, 44, 31-38.
    • (1972) Studia Math , vol.44 , pp. 31-38
    • Muckenhoupt, B.1
  • 23
    • 0003744964 scopus 로고
    • Stochastic PDEs term structure models
    • Journées Internationales de la Finance, La Baule
    • Musiela, M., Stochastic PDEs term structure models. Journées Internationales de la Finance, La Baule, 1993.
    • (1993)
    • Musiela, M.1
  • 24
    • 34547215203 scopus 로고    scopus 로고
    • Credit risk with infinite dimensional Lévy processes
    • Özkan, F. and Schmidt, T., Credit risk with infinite dimensional Lévy processes. Statist. Dec., 2005, 23, 281-289.
    • (2005) Statist. Dec. , vol.23 , pp. 281-289
    • Özkan, F.1    Schmidt, T.2
  • 26
    • 0041760727 scopus 로고    scopus 로고
    • Harnack and functional inequalities for generalized Mehler semigroups
    • Röckner, M. and Wang, F.-Y., Harnack and functional inequalities for generalized Mehler semigroups. J. Funct. Anal., 2003, 203, 237-261.
    • (2003) J. Funct. Anal. , vol.203 , pp. 237-261
    • Röckner, M.1    Wang, F.-Y.2
  • 27
    • 74549207707 scopus 로고    scopus 로고
    • Invariant measures for a class of stochastic evolution equations
    • (IMPAN preprint)
    • Rusinek, A., Invariant measures for a class of stochastic evolution equations, 2006a (IMPAN preprint).
    • (2006)
    • Rusinek, A.1
  • 28
    • 74549119134 scopus 로고    scopus 로고
    • Invariant measures for a forward rate HJM model with Lévy noise
    • (IMPAN preprint)
    • Rusinek, A., Invariant measures for a forward rate HJM model with Lévy noise, 2006b (IMPAN preprint).
    • (2006)
    • Rusinek, A.1
  • 29
    • 21244453837 scopus 로고    scopus 로고
    • A note on invariant measures for HJM models
    • Tehranchi, M., A note on invariant measures for HJM models. Finan. Stochast., 2005, 9, 389-398.
    • (2005) Finan. Stochast. , vol.9 , pp. 389-398
    • Tehranchi, M.1
  • 30
    • 0347666713 scopus 로고    scopus 로고
    • Invariant measures for the Musiela equation with deterministic diffusion term
    • Vargiolu, T., Invariant measures for the Musiela equation with deterministic diffusion term. Finan. Stochast., 1999, 3, 483-492.
    • (1999) Finan. Stochast. , vol.3 , pp. 483-492
    • Vargiolu, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.