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Transition Densities for Interest Rate and Other Nonlinear Diffusions

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  • Yacine Aït‐Sahalia

Abstract

This paper applies to interest rate models the theoretical method developed in Aït‐Sahalia (1998) to generate accurate closed‐form approximations to the transition function of an arbitrary diffusion. While the main focus of this paper is on the maximum‐likelihood estimation of interest rate models with otherwise unknown transition functions, applications to the valuation of derivative securities are also briefly discussed.

Suggested Citation

  • Yacine Aït‐Sahalia, 1999. "Transition Densities for Interest Rate and Other Nonlinear Diffusions," Journal of Finance, American Finance Association, vol. 54(4), pages 1361-1395, August.
  • Handle: RePEc:bla:jfinan:v:54:y:1999:i:4:p:1361-1395
    DOI: 10.1111/0022-1082.00149
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    JEL classification:

    • B16 - Schools of Economic Thought and Methodology - - History of Economic Thought through 1925 - - - Quantitative and Mathematical
    • B23 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Econometrics; Quantitative and Mathematical Studies
    • F65 - International Economics - - Economic Impacts of Globalization - - - Finance
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets

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