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On the construction of finite dimensional realizations for nonlinear forward rate models
14 references·3 citing·31 second hop
On the construction of finite dimensional realizations for nonlinear forward rate models (2002)On the construction of finite dimensional…On the Existence of Finite‐Dimensional Realizations for Nonlinear Forward Rate Models (2001)On the Existence of Finite‐Di…Forward rate dependent Markovian transformations of the Heath-Jarrow-Morton term structure model (2001)Forward rate dependent Markov…Term Structure Models Driven by General Lévy Processes (1999)Term Structure Models Driven …Minimal realizations of interest rate models (1999)Minimal realizations of inter…A Markovian Framework in Multi-Factor Heath-Jarrow-Morton Models (1998)A Markovian Framework in Mult…Transformation of Heath?Jarrow?Morton models to Markovian systems (1997)Transformation of Heath?Jarro…VOLATILITY STRUCTURES OF FORWARD RATES AND THE DYNAMICS OF THE TERM STRUCTURE1 (1995)VOLATILITY STRUCTURES OF FORW…Single Factor Heath-Jarrow-Morton Term Structure Models Based on Markov Spot Interest Rate Dynamics (1995)Single Factor Heath-Jarrow-Mo…WHEN IS THE SHORT RATE MARKOVIAN? (1994)WHEN IS THE SHORT RATE MARKOV…A MULTIFACTOR GAUSS MARKOV IMPLEMENTATION OF HEATH, JARROW, AND MORTON (1994)A MULTIFACTOR GAUSS MARKOV IM…Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation (1992)Bond Pricing and the Term Str…Pricing Interest-Rate-Derivative Securities (1990)Pricing Interest-Rate-Derivat…Term Structure Movements and Pricing Interest Rate Contingent Claims (1986)Term Structure Movements and …A Theory of the Term Structure of Interest Rates (1985)A Theory of the Term Structur…On the Geometry of Interest Rate Models (2004)On the Geometry of Interest R…Finite–dimensional Markovian realizations for stochastic volatility forward–rate models (2004)Finite–dimensional Markovian …Finite Dimensional Affine Realisations of HJM Models in Terms of Forward Rates and Yields (2003)Finite Dimensional Affine Rea…An equilibrium characterization of the term structure (1977)Valuation of Commodity Futures and Options Under Stochastic Convenience Yields, Interest Rates, and Jump Diffusions in the Spot (1998)A simple approach to the pricing of Bermudan swaptions in the multifactor LIBOR market model (2000)Theory of Rational Option Pricing (1973)Interest Rate Volatility and the Term Structure: A Two-Factor General Equilibrium Model (1992)Arbitrage Theory in Continuous Time (1998)Arbitrage Theory in Continuous Time (2004)Theory of rational option pricing (2005)The Pricing of Options and Corporate Liabilities (1973)Pricing Derivatives on Financial Securities Subject to Credit Risk (1995)A YIELD‐FACTOR MODEL OF INTEREST RATES (1996)Forecasting the Term Structure of Government Bond Yields (2003)Hyperbolic Distributions in Finance (1995)New Insights into Smile, Mispricing, and Value at Risk: The Hyperbolic Model (1998)Lévy Processes in Finance: Theory, Numerics, and Empirical Facts (2000)Application of Generalized Hyperbolic Lévy Motions to Finance (2001)Option Pricing in Stochastic Volatility Models of the Ornstein-Uhlenbeck type (2003)The Term Structure of Interest Rates as a Random Field (2000)Brownian Motion and Stochastic Calculus (2007)A General Stochastic Volatility Model for the Pricing of Interest Rate Derivatives (2008)Martingales and stochastic integrals in the theory of continuous trading (1981)Stochastic Differential Equations and Diffusion Processes (1983)Modeling Term Structures of Defaultable Bonds (1999)Valuing American Options by Simulation: A Simple Least-Squares Approach (2001)Optimum consumption and portfolio rules in a continuous-time model (1971)A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)Dynamic Asset Pricing Theory. (1993)The Dynamics of the Forward Interest Rate Curve with Stochastic String Shocks (2001)Optimal consumption and investment strategies with stochastic interest rates (2003)Existence of invariant manifolds for stochastic equations in infinite dimension (2003)Consistent Variance Curve Models (2006)
this work references cited by second hop

References

  • 1985A Theory of the Term Structure of Interest Rates8,333 cited
  • 1992Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation3,170 cited
  • 1990Pricing Interest-Rate-Derivative Securities2,168 cited
  • 1986Term Structure Movements and Pricing Interest Rate Contingent Claims1,398 cited
  • 1999Term Structure Models Driven by General Lévy Processes271 cited
  • 1995VOLATILITY STRUCTURES OF FORWARD RATES AND THE DYNAMICS OF THE TERM STRUCTURE1270 cited
  • 1994A MULTIFACTOR GAUSS MARKOV IMPLEMENTATION OF HEATH, JARROW, AND MORTON250 cited
  • 2001On the Existence of Finite‐Dimensional Realizations for Nonlinear Forward Rate Models209 cited
  • 1994WHEN IS THE SHORT RATE MARKOVIAN?196 cited
  • 1998A Markovian Framework in Multi-Factor Heath-Jarrow-Morton Models164 cited
  • 1999Minimal realizations of interest rate models146 cited
  • 2001Forward rate dependent Markovian transformations of the Heath-Jarrow-Morton term structure model137 cited
  • 1995Single Factor Heath-Jarrow-Morton Term Structure Models Based on Markov Spot Interest Rate Dynamics132 cited
  • 1997Transformation of Heath?Jarrow?Morton models to Markovian systems107 cited

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2003
Finite Dimensional Affine Realisations of HJM Models in Terms of Forward Rates and Yields
48 cited
  • 2004On the Geometry of Interest Rate Models31 cited
  • 2004Finite–dimensional Markovian realizations for stochastic volatility forward–rate models29 cited