Do Bonds Span Volatility Risk in the U.S. Treasury Market?

Do Bonds Span Volatility Risk in the U.S. Treasury Market?
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Total Pages : 72
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ISBN-10 : IND:30000163941655
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Book Synopsis Do Bonds Span Volatility Risk in the U.S. Treasury Market? by : Torben Gustav Andersen

Download or read book Do Bonds Span Volatility Risk in the U.S. Treasury Market? written by Torben Gustav Andersen and published by . This book was released on 2007 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: We investigate whether bonds span the volatility risk in the U.S. Treasury market, as predicted by most 'affine' term structure models. To this end, we construct powerful and model-free empirical measures of the quadratic yield variation for a cross-section of fixed-maturity zero-coupon bonds ("realized yield volatility") through the use of high-frequency data. We find that the yield curve fails to span yield volatility, as the systematic volatility factors are largely unrelated to the cross-section of yields. We conclude that a broad class of affine diffusive, Gaussian-quadratic and affine jump-diffusive models is incapable of accommodating the observed yield volatility dynamics. An important implication is that the bond markets per se are incomplete and yield volatility risk cannot be hedged by taking positions solely in the Treasury bond market. We also advocate using the empirical realized yield volatility measures more broadly as a basis for specification testing and (parametric) model selection within the term structure literature.


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Most models of the term structure are restrictive in that they assume the bond market forms a complete market. That is, they assume all sources of risk affectin