메뉴 건너뛰기




Volumn 460, Issue 2041, 2004, Pages 53-83

Finite-dimensional Markovian realizations for stochastic volatility forward-rate models

Author keywords

Factor models; Forward rates; HJM models; Markovian realizations; State space models; Stochastic volatility

Indexed keywords

CONFERENCE PAPER; FINITE ELEMENT ANALYSIS; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; STOCHASTIC MODEL; THEORETICAL MODEL;

EID: 12144289724     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2003.1235     Document Type: Conference Paper
Times cited : (13)

References (23)
  • 1
    • 0039548890 scopus 로고    scopus 로고
    • Transformation of Heath-Jarrow-Morton models to Markovian systems
    • Bhar, R. & Chiarella, C. 1997 Transformation of Heath-Jarrow-Morton models to Markovian systems. Eur. J. Fin. 3, 1-26.
    • (1997) Eur. J. Fin. , vol.3 , pp. 1-26
    • Bhar, R.1    Chiarella, C.2
  • 3
    • 24544457941 scopus 로고    scopus 로고
    • A geometric view of interest rate theory
    • (ed. E. Jouini, J. Cvitanic & M. Musiela). Cambridge University Press
    • Björk, T. 2001 A geometric view of interest rate theory. In Option pricing, interest rates and risk management (ed. E. Jouini, J. Cvitanic & M. Musiela). Cambridge University Press.
    • (2001) Option Pricing, Interest Rates and Risk Management
    • Björk, T.1
  • 4
    • 0033242716 scopus 로고    scopus 로고
    • Interest rate dynamics and consistent forward-rate curves
    • Björk, T. & Cristensen, B. 1999 Interest rate dynamics and consistent forward-rate curves. Math. Finance 9, 323-348.
    • (1999) Math. Finance , vol.9 , pp. 323-348
    • Björk, T.1    Cristensen, B.2
  • 5
    • 0001490717 scopus 로고    scopus 로고
    • Minimal realizations of interest rate models
    • Björk, T. & Gombani, A. 1999 Minimal realizations of interest rate models. Finance Stoch. 3, 413-432.
    • (1999) Finance Stoch. , vol.3 , pp. 413-432
    • Björk, T.1    Gombani, A.2
  • 6
    • 0012585953 scopus 로고    scopus 로고
    • On the construction of finite-dimensional realizations for nonlinear forward-rate models
    • Björk, T. & Landén, C. 2002 On the construction of finite-dimensional realizations for nonlinear forward-rate models. Finance Stoch. 6, 303-331.
    • (2002) Finance Stoch. , vol.6 , pp. 303-331
    • Björk, T.1    Landén, C.2
  • 7
    • 0039840316 scopus 로고    scopus 로고
    • On the existence of finite-dimensional realizations for nonlinear forward-rate models
    • Björk, T. & Svensson, L. 2001 On the existence of finite-dimensional realizations for nonlinear forward-rate models. Math. Finance 11, 205-243.
    • (2001) Math. Finance , vol.11 , pp. 205-243
    • Björk, T.1    Svensson, L.2
  • 9
    • 84986841624 scopus 로고
    • A multifactor Gauss Markov implementation of Heath, Jarrow, and Morton
    • Brace, A. & Musiela, M. 1994 A multifactor Gauss Markov implementation of Heath, Jarrow, and Morton. Math. Finance 4, 259-283.
    • (1994) Math. Finance , vol.4 , pp. 259-283
    • Brace, A.1    Musiela, M.2
  • 10
    • 84986758738 scopus 로고
    • When is the spot rate Markovian?
    • Carverhill, A. 1994 When is the spot rate Markovian? Math. Finance 4, 305-312.
    • (1994) Math. Finance , vol.4 , pp. 305-312
    • Carverhill, A.1
  • 12
    • 0008355710 scopus 로고    scopus 로고
    • Forward rate dependent Markovian transformations of the Heath-Jarrow-Morton term structure model
    • Chiarella, C. & Kwon, O. K. 2001 Forward rate dependent Markovian transformations of the Heath-Jarrow-Morton term structure model. Finance Stoch. 5, 237-257.
    • (2001) Finance Stoch. , vol.5 , pp. 237-257
    • Chiarella, C.1    Kwon, O.K.2
  • 13
    • 0001205798 scopus 로고
    • A theory of the term structure of interest rates
    • Cox, J., Ingersoll, J. & Ross, S. 1985 A theory of the term structure of interest rates. Econometrica 53, 385-408.
    • (1985) Econometrica , vol.53 , pp. 385-408
    • Cox, J.1    Ingersoll, J.2    Ross, S.3
  • 14
    • 0033480136 scopus 로고    scopus 로고
    • Term structure models driven by general Levy processes
    • Eberlein, E. & Raible, S. 1999 Term structure models driven by general Levy processes. Math. Finance 9, 31-53.
    • (1999) Math. Finance , vol.9 , pp. 31-53
    • Eberlein, E.1    Raible, S.2
  • 15
    • 0033211750 scopus 로고    scopus 로고
    • A note on the Nelson-Siegel family
    • Filipović, D. 1999 A note on the Nelson-Siegel family. Math. Finance 9, 349-359.
    • (1999) Math. Finance , vol.9 , pp. 349-359
    • Filipović, D.1
  • 18
    • 0037298602 scopus 로고    scopus 로고
    • Existence of invariant manifolds for stochastic equations in infinite dimension
    • Filipovic, D. & Teichmann, J. 2003 Existence of invariant manifolds for stochastic equations in infinite dimension. J. Funct. Analysis 197, 398-432.
    • (2003) J. Funct. Analysis , vol.197 , pp. 398-432
    • Filipovic, D.1    Teichmann, J.2
  • 19
    • 0002674207 scopus 로고
    • Bond pricing and the term structure of interest rates
    • Heath, D., Jarrow, R. & Morton, A. 1992a Bond pricing and the term structure of interest rates. Econometrica 60, 77-106.
    • (1992) Econometrica , vol.60 , pp. 77-106
    • Heath, D.1    Jarrow, R.2    Morton, A.3
  • 20
    • 0002674207 scopus 로고
    • Bond pricing and the term structure of interest rates: A new methodology for contingent claims valuation
    • Heath, D., Jarrow, R. & Morton, A. 1992b Bond pricing and the term structure of interest rates: a new methodology for contingent claims valuation. Econometrica 60, 77-105.
    • (1992) Econometrica , vol.60 , pp. 77-105
    • Heath, D.1    Jarrow, R.2    Morton, A.3
  • 21
    • 0032369665 scopus 로고    scopus 로고
    • A Markovian framework in multi-factor Heath-Jarrow-Morton models
    • Inui, K. & Kijima, M. 1998 A Markovian framework in multi-factor Heath-Jarrow-Morton models. J. Financ. Quantit. Analysis 33, 423-440.
    • (1998) J. Financ. Quantit. Analysis , vol.33 , pp. 423-440
    • Inui, K.1    Kijima, M.2
  • 22
    • 84974234089 scopus 로고
    • Single factor Heath-Jarrow-Morton term structure models based on Markov spot interest rate dynamics
    • Jeffrey, A. 1995 Single factor Heath-Jarrow-Morton term structure models based on Markov spot interest rate dynamics. J. Financ. Quantit. Analysis 30, 619-642.
    • (1995) J. Financ. Quantit. Analysis , vol.30 , pp. 619-642
    • Jeffrey, A.1
  • 23
    • 80955156317 scopus 로고
    • Volatility structures of forward rates and the dynamics of the term structure
    • Ritchken, P. & Sankarasubramanian, L. 1995 Volatility structures of forward rates and the dynamics of the term structure. Math. Finance 5, 55-72.
    • (1995) Math. Finance , vol.5 , pp. 55-72
    • Ritchken, P.1    Sankarasubramanian, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.