Do Bonds Span the Fixed Income Markets? Theory and Evidence for Unspanned Stochastic Volatility
Most term structure models assume bond markets are complete, that is, that all fixed income derivatives can be perfectly replicated using solely bonds. How ever, we find that, in practice, swap rates have limited explanatory power for returns on at-the-money straddles-portfolios mainly exposed to volatility risk. We term this empirical feature "unspanned stochastic volatility" (USV). While USV can be captured within an HJM framework, we demonstrate that bivariate models cannot exhibit USV. We determine necessary and sufficient conditions for trivariate Markov affine systems to exhibit USV. For such USV models, bonds alone may not be sufficient to identify all parameters. Rather, derivatives are needed. Copyright The American Finance Association 2002.
Year of publication: |
2002
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Authors: | Collin-Dufresne, Pierre ; Goldstein, Robert S. |
Published in: |
Journal of Finance. - American Finance Association - AFA, ISSN 1540-6261. - Vol. 57.2002, 4, p. 1685-1730
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Publisher: |
American Finance Association - AFA |
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