IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1403.7799.html
   My bibliography  Save this paper

Inflation securities valuation with macroeconomic-based no-arbitrage dynamics

Author

Listed:
  • Gabriele Sarais
  • Damiano Brigo

Abstract

We develop a model to price inflation and interest rates derivatives using continuous-time dynamics that have some links with macroeconomic monetary DSGE models equipped with a Taylor rule: in particular, the reaction function of the central bank, the bond market liquidity, inflation and growth expectations play an important role. The model can explain the effects of non-standard monetary policies (like quantitative easing or its tapering) and shed light on how central bank policy can affect the value of inflation and interest rates derivatives. The model is built under standard no-arbitrage assumptions. Interestingly, the model yields short rate dynamics that are consistent with a time-varying Hull-White model, therefore making the calibration to the nominal interest curve and options straightforward. Further, we obtain closed forms for both zero-coupon and year-on-year inflation swap and options. The calibration strategy we propose is fully separable, which means that the calibration can be carried out in subsequent simple steps that do not require heavy computation. A market calibration example is provided. The advantages of such structural inflation modelling become apparent when one starts doing risk analysis on an inflation derivatives book: because the model explicitly takes into account economic variables, a trader can easily assess the impact of a change in central bank policy on a complex book of fixed income instruments, which is normally not straightforward if one is using standard inflation pricing models.

Suggested Citation

  • Gabriele Sarais & Damiano Brigo, 2014. "Inflation securities valuation with macroeconomic-based no-arbitrage dynamics," Papers 1403.7799, arXiv.org, revised Jul 2014.
  • Handle: RePEc:arx:papers:1403.7799
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1403.7799
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," The Quarterly Journal of Economics, Oxford University Press, vol. 115(1), pages 147-180.
    2. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    3. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
    4. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    5. Carl E. Walsh, 2003. "Monetary Theory and Policy, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232316, February.
    6. Lane P. Hughston & Andrea Macrina, 2009. "Pricing Fixed-Income Securities in an Information-Based Framework," Papers 0911.1610, arXiv.org, revised Apr 2010.
    7. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-592.
    8. L. C. G. Rogers, 1997. "The Potential Approach to the Term Structure of Interest Rates and Foreign Exchange Rates," Mathematical Finance, Wiley Blackwell, vol. 7(2), pages 157-176, April.
    9. Robert Jarrow & Yildiray Yildirim, 2008. "Pricing Treasury Inflation Protected Securities and Related Derivatives using an HJM Model," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 16, pages 349-370, World Scientific Publishing Co. Pte. Ltd..
    10. Michael Woodford, 1999. "Optimal Monetary Policy Inertia," Manchester School, University of Manchester, vol. 67(s1), pages 1-35.
    11. Lane P. Hughston & Andrea Macrina, 2010. "Pricing Fixed-Income Securities in an Information-Based Framework," KIER Working Papers 692, Kyoto University, Institute of Economic Research.
    12. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    13. Constantinides, George M, 1992. "A Theory of the Nominal Term Structure of Interest Rates," Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 531-552.
    14. Michael Woodford, 1999. "Optimal monetary policy inertia," Proceedings, Federal Reserve Bank of San Francisco.
    15. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Honkapohja, Seppo & Mitra, Kaushik, 2005. "Performance of inflation targeting based on constant interest rate projections," Journal of Economic Dynamics and Control, Elsevier, vol. 29(11), pages 1867-1892, November.
    2. GlennD. Rudebusch & Tao Wu, 2008. "A Macro-Finance Model of the Term Structure, Monetary Policy and the Economy," Economic Journal, Royal Economic Society, vol. 118(530), pages 906-926, July.
    3. Galí, Jordi, 2002. "New Perspectives on Monetary Policy, Inflation and the Business Cycle," CEPR Discussion Papers 3210, C.E.P.R. Discussion Papers.
    4. Jukka Railavo, 2004. "Effects of the supply-side channel on stabilisation properties of policy rules," Macroeconomics 0404028, University Library of Munich, Germany.
    5. Bask, Mikael, 2009. "Instrument rules in monetary policy under heterogeneity in currency trade," Journal of Economics and Business, Elsevier, vol. 61(2), pages 97-111.
    6. repec:zbw:cfswop:wp200339 is not listed on IDEAS
    7. Waters, George A., 2009. "Learning, Commitment, And Monetary Policy," Macroeconomic Dynamics, Cambridge University Press, vol. 13(4), pages 421-449, September.
    8. Olivier Loisel, 2013. "The Implementation of Stabilization Policy," Working Papers 2013-24, Center for Research in Economics and Statistics.
    9. Mikael Bask, 2014. "A Case For Interest Rate Inertia In Monetary Policy," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 19(2), pages 140-159, March.
    10. Minford, Patrick & Ou, Zhirong, 2013. "Taylor Rule or optimal timeless policy? Reconsidering the Fed's behavior since 1982," Economic Modelling, Elsevier, vol. 32(C), pages 113-123.
    11. George W. Evans & Seppo Honkapohja, 2003. "Adaptive learning and monetary policy design," Proceedings, Federal Reserve Bank of Cleveland, pages 1045-1084.
    12. Coenen, Gunter & Wieland, Volker, 2005. "A small estimated euro area model with rational expectations and nominal rigidities," European Economic Review, Elsevier, vol. 49(5), pages 1081-1104, July.
    13. Yüksel, Ebru & Metin-Ozcan, Kivilcim & Hatipoglu, Ozan, 2013. "A survey on time-varying parameter Taylor rule: A model modified with interest rate pass-through," Economic Systems, Elsevier, vol. 37(1), pages 122-134.
    14. Evans, George W. & McGough, Bruce, 2005. "Monetary policy, indeterminacy and learning," Journal of Economic Dynamics and Control, Elsevier, vol. 29(11), pages 1809-1840, November.
    15. George W. Evans & Seppo Honkapohja, 2009. "Expectations, Learning and Monetary Policy: An Overview of Recent Research," Central Banking, Analysis, and Economic Policies Book Series, in: Klaus Schmidt-Hebbel & Carl E. Walsh & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series (ed.),Monetary Policy under Uncertainty and Learning, edition 1, volume 13, chapter 2, pages 027-076, Central Bank of Chile.
    16. James Bullard & Kaushik Mitra, 2007. "Determinacy, Learnability, and Monetary Policy Inertia," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(5), pages 1177-1212, August.
    17. Hommes, Cars & Lustenhouwer, Joep, 2019. "Inflation targeting and liquidity traps under endogenous credibility," Journal of Monetary Economics, Elsevier, vol. 107(C), pages 48-62.
    18. Tetlow, Robert J. & von zur Muehlen, Peter, 2009. "Robustifying learnability," Journal of Economic Dynamics and Control, Elsevier, vol. 33(2), pages 296-316, February.
    19. repec:zbw:cfswop:wp200308 is not listed on IDEAS
    20. Jensen Henrik, 2011. "Estimated Interest Rate Rules: Do they Determine Determinacy Properties?," The B.E. Journal of Macroeconomics, De Gruyter, vol. 11(1), pages 1-22, May.
    21. Marc P. Giannoni, 2007. "Robust optimal monetary policy in a forward-looking model with parameter and shock uncertainty," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(1), pages 179-213.
    22. Gasteiger, Emanuel, 2011. "Heterogeneous expectations, Taylor rules and the merit of monetary policy inertia," MPRA Paper 31004, University Library of Munich, Germany.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:1403.7799. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: http://arxiv.org/ .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.