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Nonparametric Modeling of U.S. Interest Rate Term Structure Dynamics and Implications on the Prices of Derivative Securities

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  • Jiang, George J.

Abstract

This paper develops a nonparametric model of interest rate term structure dynamics based on a spot rate process that permits only positive interest rates and a market price of interest rate risk that precludes arbitrage opportunities. Both the spot rate process and the market price of interest rate risk are nonparametrically specified so that the model allows for maximal flexibility in fitting into the data. Marginal density of interest rates and historical term structure data are exploited to provide robust estimation of the nonparametric term structure model. The model is implemented using U.S. data, and the estimation results are compared to those in the available literature. Empirical results not only provide strong evidence that most traditional spot rate models and market prices of interest rate risk are misspecified, but also confirm that the nonparametric model generates significantly different term structures and prices of common derivatives.

Suggested Citation

  • Jiang, George J., 1998. "Nonparametric Modeling of U.S. Interest Rate Term Structure Dynamics and Implications on the Prices of Derivative Securities," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 33(04), pages 465-497, December.
  • Handle: RePEc:cup:jfinqa:v:33:y:1998:i:04:p:465-497_00
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    Cited by:

    1. Kristensen, Dennis, 2008. "Estimation of partial differential equations with applications in finance," Journal of Econometrics, Elsevier, vol. 144(2), pages 392-408, June.
    2. Nikolay Gospodinov & Masayuki Hirukawa, 2008. "Nonparametric Estimation of Scalar Diffusion Processes of Interest Rates Using Asymmetric Kernels," Working Papers 08011, Concordia University, Department of Economics, revised Dec 2008.
    3. Suresh M. Sundaresan, 2000. "Continuous-Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
    4. J. Jimenez & R. Biscay & T. Ozaki, 2005. "Inference Methods for Discretely Observed Continuous-Time Stochastic Volatility Models: A Commented Overview," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 12(2), pages 109-141, June.
    5. Muteba Mwamba, John & Thabo, Lethaba & Uwilingiye, Josine, 2014. "Modelling the short-term interest rate with stochastic differential equation in continuous time: linear and nonlinear models," MPRA Paper 64386, University Library of Munich, Germany.
    6. Somvang PHIMMAVONG & Ian FERGUSON & Barbara OZARSKA, "undated". "Economy-Wide Impact of Forest Plantation Development in Laos Using a Dynamic General Equilibrium Approach," EcoMod2010 259600131, EcoMod.
    7. Mancini, Cecilia & Renò, Roberto, 2011. "Threshold estimation of Markov models with jumps and interest rate modeling," Journal of Econometrics, Elsevier, vol. 160(1), pages 77-92, January.
    8. Dennis Kristensen, 2004. "A Semiparametric Single-Factor Model of the Term Structure," FMG Discussion Papers dp501, Financial Markets Group.
    9. Adam Canopius, 2006. "Practitioners' Corner," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 4(2), pages 346-351.
    10. repec:ebl:ecbull:v:7:y:2007:i:11:p:1-9 is not listed on IDEAS
    11. Jose Luis de la Cruz & Elizabeth Ortega, 2007. "Continuous Time Models of Interest Rate: Testing the Mexican Data (1998-2006)," Economics Bulletin, AccessEcon, vol. 7(11), pages 1-9.
    12. Cai, Lili & Swanson, Norman R., 2011. "In- and out-of-sample specification analysis of spot rate models: Further evidence for the period 1982-2008," Journal of Empirical Finance, Elsevier, vol. 18(4), pages 743-764, September.
    13. Romuald Kenmoe & Simona Sanfelici, 2014. "An application of nonparametric volatility estimators to option pricing," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(2), pages 393-412, October.
    14. Haven, Emmanuel & Liu, Xiaoquan & Shen, Liya, 2012. "De-noising option prices with the wavelet method," European Journal of Operational Research, Elsevier, vol. 222(1), pages 104-112.
    15. José Antonio Núñez. & Elizabeth Ortega., 2011. "Continuous Time Models of Interest Rate: Testing Peso-Dollar Exchange Rate," Economía: teoría y práctica, Universidad Autónoma Metropolitana, México, vol. 34(1), pages 43-63, Enero-Jun.
    16. Hou, Ai Jun & Suardi, Sandy, 2011. "Modelling and forecasting short-term interest rate volatility: A semiparametric approach," Journal of Empirical Finance, Elsevier, vol. 18(4), pages 692-710, September.
    17. Renò, Roberto, 2008. "Nonparametric Estimation Of The Diffusion Coefficient Of Stochastic Volatility Models," Econometric Theory, Cambridge University Press, vol. 24(05), pages 1174-1206, October.
    18. Bali, Turan G. & Wu, Liuren, 2006. "A comprehensive analysis of the short-term interest-rate dynamics," Journal of Banking & Finance, Elsevier, vol. 30(4), pages 1269-1290, April.
    19. Adland, Roar & Jia, Haiying & Lu, Jing, 2008. "Price dynamics in the market for Liquid Petroleum Gas transport," Energy Economics, Elsevier, vol. 30(3), pages 818-828, May.
    20. Bali, Turan G., 2003. "Modeling the stochastic behavior of short-term interest rates: Pricing implications for discount bonds," Journal of Banking & Finance, Elsevier, vol. 27(2), pages 201-228, February.
    21. Dell'Aquila, Rosario & Ronchetti, Elvezio & Trojani, Fabio, 2003. "Robust GMM analysis of models for the short rate process," Journal of Empirical Finance, Elsevier, vol. 10(3), pages 373-397, May.
    22. Anna Pajor, 2008. "Bayesian Forecasting of the Discounted Payoff of Options on WIG20 Index under Stochastic Volatility and Stochastic Interest Rates," Dynamic Econometric Models, Uniwersytet Mikolaja Kopernika, vol. 8, pages 147-154.
    23. repec:eee:csdana:v:56:y:2012:i:12:p:3975-3987 is not listed on IDEAS
    24. Gospodinov, Nikolay & Hirukawa, Masayuki, 2012. "Nonparametric estimation of scalar diffusion models of interest rates using asymmetric kernels," Journal of Empirical Finance, Elsevier, vol. 19(4), pages 595-609.
    25. Gómez-Valle, Lourdes & Marti­nez-Rodri­guez, Julia, 2008. "Modelling the term structure of interest rates: An efficient nonparametric approach," Journal of Banking & Finance, Elsevier, vol. 32(4), pages 614-623, April.

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