Continuous-time Parameter Estimation of Exponential-Affine Term Structure Models

Arianto Wibowo

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    The exponential-affine term structure model is a class of models in which the yields to maturity are affine functions of some state vector x(t). This model has been first proposed by Duffie and Kan (1994), and subsumes Vasicek, Cox-Ingersol-Ross and other commonly used interest rate models as special cases.
    Since the interest rate factors x(t) are not directly observed, unknown parameters in these models need to be estimated on the basis of observing the bond prices of different maturities. Although financial models are commonly formulated in continuous time, all existing parameter estimation techniques discretize the observation equation in time in order to use known statistical or filtering methods. We resolve this incongruity in the present paper by working throughout with the original continuous-time formulation.
    Original languageEnglish
    Title of host publicationProceedings International Conference on Applied Mathematics 2005
    Place of PublicationBandung, Indonesia
    PublisherInstitut Teknologi Bandung
    Number of pages10
    ISBN (Print)90-3652244-7
    Publication statusPublished - 22 Aug 2005
    EventInternational Conference on Applied Mathematics, ICAM 2005 - Institut Teknologi Bandung, Bandung, Indonesia
    Duration: 22 Aug 200526 Aug 2005


    ConferenceInternational Conference on Applied Mathematics, ICAM 2005
    Abbreviated titleICAM


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