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Inferring Volatility from the Yield Curve

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DOI: 10.4236/jmf.2015.53026    5,104 Downloads   5,592 Views  

ABSTRACT

In this paper, we assess how to recover the volatility of interest rates in the euro area money market, on the sole basis of the zero-coupon yield curve. Our primary result is that there exists an empirical regularity (linking rates and volatility) that takes a relatively simple mathematical form. We also show that the existence of such regularity cannot be explained by a reasoning based on the hypothesis of absence of opportunities of arbitrage since a continuous-time arbitrage-free model may produce instances of curves that are consistent with a continuum of level of volatilities. We exhibit an example for this.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Brousseau, V. and Durré, A. (2015) Inferring Volatility from the Yield Curve. Journal of Mathematical Finance, 5, 304-314. doi: 10.4236/jmf.2015.53026.

References

[1] Litterman, R., Scheinkman, J. and Weiss, L. (1991) Volatility and the Yield Curve. Journal of Fixed Income, 1, 49-53.
http://dx.doi.org/10.3905/jfi.1991.692346
[2] Brousseau, V. and Durré, A. (2015) Interest Rate Volatility: A Consol Rate Approach. Journal of Mathematical Finance, 5, 58-72.
http://dx.doi.org/10.4236/jmf.2015.51006
[3] Frachot, A. and Lesne, J.-P. (1995) Modèles factoriels de la structure par termes des taux d’intérêt: Théorie et application économétrique. Annales d’Économie et de Statistique, 40, 11-36.
[4] Gourieroux, C. and Sufana, R. (2006) A Classification of Two-Factor Affine Diffusion Term Structure Models. Journal of Financial Econometrics, 4, 31-52.
http://dx.doi.org/10.1093/jjfinec/nbj003
[5] Brousseau, V. (2002) The functional Form of Yield Curves. ECB Working Paper No. 148.
https://www.ecb.europa.eu/pub/pdf/scpwps/ecbwp148.pdf
[6] Brousseau, V. and Durré, A. (2014) Sur une représentation paramétrique affine de la courbe des taux. Revue Bancaire et Financière, 4, 297-310.
[7] Litterman, R. and Scheinkman, J. (1991) Common Factors Affecting Bond Returns. The Journal of Fixed Income, 1, 54-61.
http://dx.doi.org/10.3905/jfi.1991.692347

  
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