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A semiparametric single-factor model of the term structure

By Dennis Kristensen


We propose a semiparametric single-factor diffusion model for the term structure of interest rate. The This model is highly flexible and encompasses most parametric single-factor models proposed in the literature. We fit the semiparametric model to a proxy of the Eurodollar short term interst rate and compare it with the most flexible parametric model found in the literature: First directly, by testing the fully parametric model against the semiparametric one. Secondly, we look at how much the bond prices predicted by the competing models differ; this yields an alternative measure of the performance of the models. The fitted semiparametric model picks up nonlinearities which the fully parameteric model cannot capture. This leads to a rejection of the parametric model in favour of the semiparametric model in the direct comparison of the two fitted models. Moreover, the calculated bond prices implied by the two competing models are shown to be significantly different

Topics: HG Finance, HB Economic Theory
Publisher: Financial Markets Group, London School of Economics and Political Science
Year: 2004
OAI identifier:
Provided by: LSE Research Online

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  3. (1997). A Nonparametric Model of Term Structure Dynamics and the Market Price of Interest Rate Risk. doi
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  5. (1981). A Second Course in Stochastic Processes. doi
  6. (1987). A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix. doi
  7. (1992). A Theory of the Nominal Term Structure of Interest Rates. doi
  8. (1985). A Theory of the Term Structure of Interest Rates. doi
  9. (1996). A Yield Curve Model of Interest Rates. doi
  10. (1992). An Empirical Comparison of Alternative Models of the Short-Term Interest Rate. doi
  11. (1977). An Equilibrium Characterization of the Term Structure. doi
  12. (1989). Approximate Discrete Time Schemes for Statistics of Diffusion Processes. doi
  13. (1998). Arbitrage Opportunities in Arbitrage-Free Models of Bond Pricing. doi
  14. (1998). Arbitrage Theory in Continuous Time. doi
  15. (1989). Bond and Bond Option Pricing Based on the Current Term Structure.
  16. (1992). Bond Pricing and the Term Structure of Interest Rates: A New methodology for Contingent Claims Valuation. doi
  17. (2003). Bootstrap Methods for Markov Processes. doi
  18. (1995). Bootstrapping a Consistent Nonparametric Goodness-of-Fit Test. doi
  19. (1991). Brownian Motion and Stochastic Calculus, 2nd Edition. doi
  20. (1991). Common Factors Affecting Bond Returns. doi
  21. (2000). Continuous-Time Methods in Finance: A Review and an Assessment. doi
  22. Cowles Foundation Discussion Paper no. 1181,
  23. (1986). Density Estimation for Statistics and Data Analysis. doi
  24. (1996). Dynamic Asset Pricing Theory, 3rd edition. doi
  25. (1997). Estimating Continuous-Time Stochastic Volatility Models of the Short-Term Interest Rate. doi
  26. (1997). Estimating Stochastic Differential Equations Efficiently by Minimum Chi-Square. doi
  27. (2004). Estimation in Two Classes of Semiparametric Diffusion Models. Working doi
  28. (2001). Estimation of Affine Pricing Models Using the Empirical Characteristic Function. doi
  29. (2004). Estimation of Partial Differential Equations with Applications in Finance. Working doi
  30. (1992). Interest Rate Volatility and the Term Structure: A Two Factor General Equilibrium Model. doi
  31. (2000). Is the Short Rate Drift Actually Nonlinear? doi
  32. (2001). Likelihood Inference for Discretely Observed Non-linear Diffusions. doi
  33. (2002). Likelihood-Based Specification Analysis of Continuous-Time Models of the ShortTerm Interest Rate. Working paper,
  34. (2002). Maximum Likelihood Estimation of Discretely Sampled Diffusions: A ClosedForm Approximation Approach. doi
  35. (1988). Maximum Likelihood Estimation of Generalized Itô Processes with Discretely Sampled Data. doi
  36. (2003). Nonlinear Mean Reversion in the Short-Term Interest Rate. doi
  37. (1998). Nonparametric Density Estimation and Tests of Continuous Time Interest Rate Models. doi
  38. (1999). Nonparametric Econometrics. Cambridge: doi
  39. (2001). Nonparametric Estimation in Null Recurrent Time Series. doi
  40. (1998). Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices. doi
  41. (1998). Nonparametric Modeling of U.S. Interest Rate Term Structure Dynamics and Implications on the Prices of Derivative Securities. doi
  42. (2003). Nonparametric Option Pricing under Shape Restrictions. doi
  43. (1996). Nonparametric Pricing of Interest Rate Derivative Securities. doi
  44. (2002). Nonparametric Specification Testing for Continuous-Time Models with Application to Spot Interest Rates. Working paper, doi
  45. (1998). Nonstationary Density Estimation and Kernel Autoregression.
  46. (2002). Numerical Techniques for Maximum Likelihood Estimation of Continuous-Time Diffusion Processes. doi
  47. (1962). On Estimation of a Probability Density Function and Mode. doi
  48. (2003). On the efficacy of simulated maximum likelihood for estimating the parameters of stochastic differential Equation. doi
  49. (2002). On the Specification of the Drift and Diffusion Functions for Continuous-time Models of the Spot Interest Rate. doi
  50. (1993). One-Factor Interest-Rate Models and the Valuation of Interest-Rate Derivative Securities. doi
  51. (2002). Pricing Interest Rate Derivatives: A General Approach. doi
  52. (1992). Pricing Interest Rate Options in a Two-Factor Cox-Ingersoll-Ross models of the Short-Term Interest Rates. doi
  53. (2002). Quadratic Term Structure Models: Theory and Evidence. doi
  54. (1998). Quasi-Indirect Inference for Diffusion Processes. doi
  55. (2001). Recent Advances in Estimating Term-Structure Models. doi
  56. (1988). Root-N-Consistent Semiparametric Regression. doi
  57. (2002). Short Rate Nonlinearities and Regime Switches. doi
  58. (2002). Short-Term Interest Rate Dynamics: A Spatial Approach. doi
  59. (1997). Short-term Interest Rates as Subordinated Diffusions. doi
  60. (1993). Simulated Moments Estimation of Markov Models of Asset Prices. doi
  61. (2000). Specification Analysis of Affine Term Structure Models. doi
  62. (1986). Statistical Tests of Contingent-Claims Asset-Pricing Models. doi
  63. (1983). Stochastic Processes for Interest Rates and Equilibrium Bond Prices. doi
  64. (1999). Subsampling. doi
  65. (2002). Term Premia and Interest Rate Forecasts in Affine Models. doi
  66. (1986). Term Structure Movements and Pricing Interest Rate Contingent Claims. doi
  67. (1996). Testing Continuous-Time Models of the Spot Interest Rate. doi
  68. (1988). Testing for a Unit Root in Time Series Regression. doi
  69. (1984). Testing for Unit Roots in Autoregressive Moving Average Models of Unknown Order. doi
  70. (1994). Testing the Goodness-of-Fit of a Parametric Density Function by Kernel Method. doi
  71. (1992). The Bootstrap and Edgeworth Expansion. doi
  72. (2001). The Dynamics of the Forward Interest Rate Curve with Stochastic String Shocks. doi
  73. (2004). The Econometrics of Option Pricing. Working paper 2004s-04, CIRANO. Forthcoming in Handbook of Financial Econometrics. doi
  74. (2003). The Eurodollar Futures and Options Handbook.
  75. (1973). The Pricing of Options and Corporate Liabilities. doi
  76. (1982). The Pricing of Options on Default Free Bonds. doi
  77. (1973). Theory of Rational Option Pricing. doi
  78. (1987). Time Series Regression with a Unit Root. doi
  79. (1999). Transition Densities for Interest Rates and Other Nonlinear Diffusions. doi
  80. (1999). Using Proxies for the Short Rate: When Are Three Months Like an Instant? Review of doi
  81. (1995). Which Model For Term-Structure of Interest Rates Should One Use?. doi

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