# A plausible model of yield curve dynamics

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## Abstract

We present a simple model of yield curve dynamics which satisfies key criteria of plausibility. Specifically, yields are non-negative and the Sharpe ratio of a mean-variance optimal bond portfolio has a reasonable magnitude. The model matches stylized data features, in particular long-run moments of yields and excess returns.

## Keywords

Term structure modeling Sharpe ratios## JEL Classification

E43 G12## Notes

### Acknowledgments

I am grateful to the editor Markus Schmid and two anonymous referees, and also to Patrick Caldon, Ralph Koijen, and Harald Uhlig for helpful and constructive comments. Jing Cynthia Wu was kind enough to answer my questions about the code in Bauer et al. (2012), enabling the comparison in Sect. 5.

## References

- Ahn, D.-H., Dittmar, R.F., Gallant, A.R.: Quadratic term structure models: theory and evidence. Rev. Financ. Stud.
**15**(1), 243–288 (2002)CrossRefGoogle Scholar - Ang, A., Piazzesi, M.: A no-arbitrage vector autoregression of term structure dynamics with macroeconomic and latent variables. J. Monetary Econ.
**50**(4), 745–787 (2003)CrossRefGoogle Scholar - Ang, A., Piazzesi, M., Wei, M.: What does the yield curve tell us about GDP growth? J. Econometrics
**131**(1–2), 359–403 (2006)CrossRefGoogle Scholar - Baele, L.: The determinants of stock and bond return comovements. Rev. Financ. Stud.
**23**(6), 2374–2428 (2010)CrossRefGoogle Scholar - Bauer, M.D., Rudebusch, G.D., Wu, J.C.: Correcting estimation bias in dynamic term structure models. J. Bus. Econ. Stat.
**30**(3), 454–467 (2012)CrossRefGoogle Scholar - Cochrane, J.H.: Asset Pricing. Princeton University Press, Princeton (2005)Google Scholar
- Cochrane, J.H., Piazzesi, M.: Bond risk premia. Am. Econ. Rev.
**95**(1), 138–160 (2005)CrossRefGoogle Scholar - Constantinides, G.M.: A theory of the nominal term structure of interest rates. Rev. Financ. Stud.
**5**(4), 531–552 (1992)CrossRefGoogle Scholar - Cox, J.C., Ingersoll, J.E., Ross, S.A.: A theory of the term structure of interest rates. Econometrica
**53**(2), 385–407 (1985)CrossRefGoogle Scholar - Creal, D.D., Wu, J.C.: Estimation of affine term structure models with spanned or unspanned stochastic volatility. J. Econometrics
**185**(1), 60–81 (2015)CrossRefGoogle Scholar - Diebold, F.X., Rudebusch, G.D.: Yield Curve Modeling and Forecasting: The Dynamic Nelson-Siegel Approach. The Econometric and Tinbergen Institutes Lectures. Princeton University Press, Princeton (2013)Google Scholar
- Duffee, G.: Sharpe ratios in term structure models. The Johns Hopkins University, Department of Economics, Economics Working Paper No. 575 (2010)Google Scholar
- Gürkaynak, R.S., Sack, B., Wright, J.H.: The U.S. treasury yield curve: 1961 to the present. J. Monetary Econ.
**54**(8), 2291–2304 (2007)CrossRefGoogle Scholar - Hamilton, J.D., Wu, J.C.: Identification and estimation of Gaussian affine term structure models. J. Econometrics
**168**(2), 315–331 (2012)CrossRefGoogle Scholar - Ingersoll, J.: Positive interest rates and yields: additional serious considerations. In: Lee, C.-F., Lee, J. (eds.) Handbook of Quantitative Finance and Risk Management. Springer, New York (2010)Google Scholar
- Joslin, S., Priebsch, M., Singleton, K.J.: Risk premiums in dynamic term structure models with unspanned macro risks. J. Finance
**69**(3), 1197–1233 (2014)CrossRefGoogle Scholar - Kim, D.H., Singleton, K.J.: Term structure models and the zero bound: An empirical investigation of Japanese yields. J. Econometrics
**170**(1), 32–49 (2012)CrossRefGoogle Scholar - Koijen, R., Lustig, H., van Nieuwerburgh, S.: The cross-section and time-series of stock and bond returns. CEPR Discussion Paper No. 9024 (2012)Google Scholar
- Krippner, L.: Zero Lower Bound Term Structure Modeling: A Practitioner’s Guide. Applied Quantitative Finance Series. Palgrave Macmillan, London (2015)CrossRefGoogle Scholar
- Lemke, W., Werner, T.: The term structure of equity premia in an affine arbitrage-free model of bond and stock market dynamics. European Central Bank Working Paper No. 1045 (2009)Google Scholar
- Piazzesi, M.: Affine term structure models. In: Aït-Sahalia, Y., Hansen, L.P. (eds.) Handbook of Financial Econometrics: Tools and Techniques, vol. 1 of Handbooks in Finance. North-Holland, Amsterdam (2010)Google Scholar

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© Swiss Society for Financial Market Research 2016