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Identification of Maximal Affine Term Structure Models




Building on Duffie and Kan (1996) , we propose a new representation of affine models in which the state vector comprises infinitesimal maturity yields and their quadratic covariations. Because these variables possess unambiguous economic interpretations, they generate a representation that is "globally identifiable". Further, this representation has more identifiable parameters than the "maximal" model of Dai and Singleton (2000) . We implement this new representation for select three-factor models and find that model-independent estimates for the state vector can be estimated directly from yield curve data, which present advantages for the estimation and interpretation of multifactor models. Copyright 2008 by The American Finance Association.

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  • Pierre Collin-Dufresne & Robert S. Goldstein & Christopher S. Jones, 2008. "Identification of Maximal Affine Term Structure Models," Journal of Finance, American Finance Association, vol. 63(2), pages 743-795, April.
  • Handle: RePEc:bla:jfinan:v:63:y:2008:i:2:p:743-795

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    References listed on IDEAS

    1. Duffie, Darrell & Saita, Leandro & Wang, Ke, 2007. "Multi-period corporate default prediction with stochastic covariates," Journal of Financial Economics, Elsevier, vol. 83(3), pages 635-665, March.
    2. Francis A. Longstaff & Sanjay Mithal & Eric Neis, 2005. "Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit Default Swap Market," Journal of Finance, American Finance Association, vol. 60(5), pages 2213-2253, October.
    3. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters,in: Theory Of Valuation, chapter 5, pages 129-164 World Scientific Publishing Co. Pte. Ltd..
    4. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    5. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    6. Duffie, Darrell & Singleton, Kenneth J, 1997. " An Econometric Model of the Term Structure of Interest-Rate Swap Yields," Journal of Finance, American Finance Association, vol. 52(4), pages 1287-1321, September.
    7. Sanjiv R. Das & Darrell Duffie & Nikunj Kapadia & Leandro Saita, 2007. "Common Failings: How Corporate Defaults Are Correlated," Journal of Finance, American Finance Association, vol. 62(1), pages 93-117, February.
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    Cited by:

    1. Collin-Dufresne, Pierre & Goldstein, Robert S. & Jones, Christopher S., 2009. "Can interest rate volatility be extracted from the cross section of bond yields?," Journal of Financial Economics, Elsevier, vol. 94(1), pages 47-66, October.
    2. Kris Jacobs & Xiaofei Li, 2008. "Modeling the Dynamics of Credit Spreads with Stochastic Volatility," Management Science, INFORMS, vol. 54(6), pages 1176-1188, June.
    3. Creal, Drew D. & Wu, Jing Cynthia, 2015. "Estimation of affine term structure models with spanned or unspanned stochastic volatility," Journal of Econometrics, Elsevier, vol. 185(1), pages 60-81.
    4. Chad E. Hart & Sergio H. Lence & Dermot J. Hayes & Na Jin, 2016. "Price Mean Reversion, Seasonality, and Options Markets," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 98(3), pages 707-725.
    5. Juneja, Januj, 2012. "Common factors, principal components analysis, and the term structure of interest rates," International Review of Financial Analysis, Elsevier, vol. 24(C), pages 48-56.
    6. Cheridito, Patrick & Filipovic, Damir & Kimmel, Robert L., 2006. "Affine Term Structure Models," Working Paper Series 2007-2, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
    7. Sarno, Lucio & Schneider, Paul & Wagner, Christian, 2012. "Properties of foreign exchange risk premiums," Journal of Financial Economics, Elsevier, vol. 105(2), pages 279-310.
    8. Filipović, Damir & Mayerhofer, Eberhard & Schneider, Paul, 2013. "Density approximations for multivariate affine jump-diffusion processes," Journal of Econometrics, Elsevier, vol. 176(2), pages 93-111.
    9. Juneja, Januj A., 2016. "Financial crises and estimation bias in international bond markets," Research in International Business and Finance, Elsevier, vol. 38(C), pages 593-607.
    10. repec:eee:quaeco:v:64:y:2017:i:c:p:292-305 is not listed on IDEAS
    11. Hamilton, James D. & Wu, Jing Cynthia, 2012. "Identification and estimation of Gaussian affine term structure models," Journal of Econometrics, Elsevier, vol. 168(2), pages 315-331.
    12. Torben G. Andersen & Nicola Fusari & Viktor Todorov, 1501. "Short-Term Market Risks Implied by Weekly Options," CREATES Research Papers 2018-08, Department of Economics and Business Economics, Aarhus University.
    13. Roncoroni, Andrea & Galluccio, Stefano & Guiotto, Paolo, 2010. "Shape factors and cross-sectional risk," Journal of Economic Dynamics and Control, Elsevier, vol. 34(11), pages 2320-2340, November.
    14. Della Corte, Pasquale & Sarno, Lucio & Thornton, Daniel L., 2008. "The expectation hypothesis of the term structure of very short-term rates: Statistical tests and economic value," Journal of Financial Economics, Elsevier, vol. 89(1), pages 158-174, July.
    15. Ye, Xiaoxia, 2012. "Market expectations of the short rate and the term structure of interest rates: a new perspective from the classic model," MPRA Paper 41093, University Library of Munich, Germany.
    16. Januj Juneja, 2015. "An evaluation of alternative methods used in the estimation of Gaussian term structure models," Review of Quantitative Finance and Accounting, Springer, vol. 44(1), pages 1-24, January.
    17. Lin-Yee Hin & Nikolai Dokuchaev, 2016. "Short Rate Forecasting Based On The Inference From The Cir Model For Multiple Yield Curve Dynamics," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 1-33, March.
    18. Filipović, Damir & Gourier, Elise & Mancini, Loriano, 2016. "Quadratic variance swap models," Journal of Financial Economics, Elsevier, vol. 119(1), pages 44-68.
    19. Torben G. Andersen & Nicola Fusari & Viktor Todorov, 2015. "The Pricing of Short-Term market Risk: Evidence from Weekly Options," NBER Working Papers 21491, National Bureau of Economic Research, Inc.
    20. repec:kap:revdev:v:20:y:2017:i:2:d:10.1007_s11147-016-9126-y is not listed on IDEAS
    21. Juneja, Januj, 2014. "Term structure estimation in the presence of autocorrelation," The North American Journal of Economics and Finance, Elsevier, vol. 28(C), pages 119-129.
    22. repec:sbe:breart:v:31:y:2011:i:2:a:5835 is not listed on IDEAS

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