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Attributing Returns and Optimising United States Swaps Portfolios Using an Intertemporally-Consistent and Arbitrage-Free Model of the Yield Curve

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Author Info
Leo Krippner () (AMP Capital Investors)

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Abstract

This paper uses the volatility-adjusted orthonormalised Laguerre polynomial model of the yield curve (the VAO model) from Krippner (2005), an intertemporally-consistent and arbitrage-free version of the popular Nelson and Siegel (1987) model, to develop a multi-dimensional yield-curve-based risk framework for fixed interest portfolios. The VAO model is also used to identify relative value (i.e. potential excess returns) from the universe of securities that define the yield curve. In combination, these risk and return elements provide an intuitive framework for attributing portfolio returns ex-post, and for optimising portfolios ex-ante. The empirical applications are to six years of daily United States interest rate swap data. The first application shows that the main sources of fixed interest portfolio risk (i.e. unanticipated variability in ex-post returns) are first-order (‘duration’) effects from stochastic shifts in the level and shape of the yield curve; second-order (‘convexity’) effects and other contributions are immaterial. The second application shows that fixed interest portfolios optimised ex-ante using the VAO model risk/relative framework significantly outperform a naive evenly-weighted benchmark over time.

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File URL: ftp://mngt.waikato.ac.nz/RePEc/wai/econwp/0503.pdf
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Publisher Info
Paper provided by University of Waikato, Department of Economics in its series Working Papers in Economics with number 05/03.

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Length: 39 pages
Date of creation: 11 Mar 2005
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Handle: RePEc:wai:econwp:05/03

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Related research
Keywords: yield curve term structure fixed interest securities portfolio optimisation interest rate swaps

Other versions of this item:

Find related papers by JEL classification:
E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Determination of Interest Rates; Term Structure of Interest Rates
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Leo Krippner, 2005. "An Intertemporally-Consistent and Arbitrage-Free Version of the Nelson and Siegel Class of Yield Curve Models," Working Papers in Economics 05/01, University of Waikato, Department of Economics. [Downloadable!]
  2. Heath, David & Jarrow, Robert & Morton, Andrew, 1992. "Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation," Econometrica, Econometric Society, vol. 60(1), pages 77-105, January. [Downloadable!] (restricted)
  3. Soto, Gloria M., 2001. "Immunization derived from a polynomial duration vector in the Spanish bond market," Journal of Banking & Finance, Elsevier, vol. 25(6), pages 1037-1057, June. [Downloadable!] (restricted)
  4. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March. [Downloadable!] (restricted)
  5. Bent Jesper Christensen & Tomas Björk, . "Interest Rate Dynamics and Consistent Forward Rate Curves," Management Working Papers 1999-4, School of Economics and Management, University of Aarhus. [Downloadable!]
  6. Francis X. Diebold & Canlin Li, 2002. "Forecasting the Term Structure of Government Bond Yields," Center for Financial Institutions Working Papers 02-34, Wharton School Center for Financial Institutions, University of Pennsylvania. [Downloadable!]
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  7. Michael J. Fleming, 2003. "Measuring treasury market liquidity," Economic Policy Review, Federal Reserve Bank of New York, issue Sep, pages 83-108. [Downloadable!]
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  8. Ioannides, Michalis, 2003. "A comparison of yield curve estimation techniques using UK data," Journal of Banking & Finance, Elsevier, vol. 27(1), pages 1-26, January. [Downloadable!] (restricted)
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