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Delta, gamma and bucket hedging of interest rate derivatives

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Author Info

  • Robert Jarrow
  • Stuart Turnbull

Abstract

The paper describes a framework for delta and gamma hedging an interest rate portfolio using a multifactor form of the Heath et al. (1992) model. A formal description of bucket hedging is given along with a discussion of some of the issues surrounding the choice of bucket lengths. Given that a small number of factors can describe the evolution of the term structure, the bucket deltas are defined in terms of these factors. The hedging of corporate bonds is also addressed.

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File URL: http://www.tandfonline.com/doi/abs/10.1080/13504869400000002
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Bibliographic Info

Article provided by Taylor & Francis Journals in its journal Applied Mathematical Finance.

Volume (Year): 1 (1994)
Issue (Month): 1 ()
Pages: 21-48

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Handle: RePEc:taf:apmtfi:v:1:y:1994:i:1:p:21-48

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Web page: http://www.tandfonline.com/RAMF20

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Related research

Keywords: delta hedging; gamma hedging; bucket hedging; interest rate derivatives;

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Citations

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Cited by:
  1. Ram Bhar & Carl Chiarella, 1995. "Interest Rate Futures: Estimation of Volatility Parameters in an Arbitrage-Free Framework," Working Paper Series 55, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
  2. Jarrow, Robert A. & Turnbull, Stuart M., 2000. "The intersection of market and credit risk," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 271-299, January.
  3. Elisa Luciano & Luca Regis & Elena Vigna, 2012. "Single and cross-generation natural hedging of longevity and financial risk," ICER Working Papers 04-2012, ICER - International Centre for Economic Research.
  4. Ballotta, Laura & Haberman, Steven, 2003. "Valuation of guaranteed annuity conversion options," Insurance: Mathematics and Economics, Elsevier, vol. 33(1), pages 87-108, August.
  5. Nawalkha, Sanjay K. & Soto, Gloria M. & Zhang, Jun, 2003. "Generalized M-vector models for hedging interest rate risk," Journal of Banking & Finance, Elsevier, vol. 27(8), pages 1581-1604, August.
  6. Elisa Luciano & Luca Regis & Elena Vigna, 2012. "Natural delta gamma hedging of longevity and interest rate risk," ICER Working Papers - Applied Mathematics Series 21-2011, ICER - International Centre for Economic Research.
  7. Duffie, Darrell, 2003. "Intertemporal asset pricing theory," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 11, pages 639-742 Elsevier.
  8. Luciano, Elisa & Regis, Luca & Vigna, Elena, 2012. "Delta–Gamma hedging of mortality and interest rate risk," Insurance: Mathematics and Economics, Elsevier, vol. 50(3), pages 402-412.
  9. Elisa Luciano & Luca Regis, 2013. "Efficient versus inefficient hedging strategies in the presence of financial and longevity (value at) risk," Carlo Alberto Notebooks 308, Collegio Carlo Alberto.
  10. Jang, Bong-Gyu & Yoon, Ji Hee, 2010. "Analytic valuation formulas for range notes and an affine term structure model with jump risks," Journal of Banking & Finance, Elsevier, vol. 34(9), pages 2132-2145, September.

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