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Convex Structure of the Constrained Least Square Problem for Estimating the Forward Rate Sequence

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  • HIROSHI KONNO
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    Abstract

    We will show that the constrained least square problem proposed in Konno and Takase [5] for estimating the forward rate sequence by using the market prices of default-free non-callable coupon bonds is in fact a convex minimization problem under more general conditions than those assumed in the subsequent paper by the same authors [6]. Consequently, the constrained least square approach can generate a smooth and accurate forward rate sequence very fast by standard convex minimization algorithms. Copyright Kluwer Academic Publishers 1997

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    File URL: http://hdl.handle.net/10.1023/A:1009677915798
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    Bibliographic Info

    Article provided by Springer in its journal Asia-Pacific Financial Markets.

    Volume (Year): 4 (1997)
    Issue (Month): 2 (May)
    Pages: 179-185

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    Handle: RePEc:kap:apfinm:v:4:y:1997:i:2:p:179-185

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    Web page: http://springerlink.metapress.com/link.asp?id=102851

    Related research

    Keywords: convex minimization problems; forward rate sequence; least square approach; term structure of interest rates.;

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    1. McCulloch, J Huston, 1971. "Measuring the Term Structure of Interest Rates," The Journal of Business, University of Chicago Press, vol. 44(1), pages 19-31, January.
    2. Delbaen, F. & Lorimier, Sabine, 1992. "Estimation of the yield curve and the forward rate curve starting from a finite number of observations," Insurance: Mathematics and Economics, Elsevier, vol. 11(4), pages 259-269, December.
    3. Vasicek, Oldrich A & Fong, H Gifford, 1982. " Term Structure Modeling Using Exponential Splines," Journal of Finance, American Finance Association, vol. 37(2), pages 339-48, May.
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