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A Note on the Stability of Lognormal Interest Rate Models and the Pricing of Eurodollar Futures

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  • Klaus Sandmann
  • Dieter Sondermann

Abstract

The lognormal distribution assumption for the term structure of interest is the most natural way to exclude negative spot and forward rates. However, imposing this assumption on the continuously compounded interest rate has a serious drawback: rates explode and expected rollover returns are infinite even if the rollover period is arbitrarily short. As a consequence, such models cannot price one of the most widely used hedging instruments on the Euromoney market, namely the Eurodollar futures contract. Copyright Blackwell Publishers Inc. 1997.

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Bibliographic Info

Article provided by Wiley Blackwell in its journal Mathematical Finance.

Volume (Year): 7 (1997)
Issue (Month): 2 ()
Pages: 119-125

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Handle: RePEc:bla:mathfi:v:7:y:1997:i:2:p:119-125

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Cited by:
  1. Albanese, Claudio, 2007. "Callable Swaps, Snowballs And Videogames," MPRA Paper 5229, University Library of Munich, Germany, revised 01 Oct 2007.
  2. Guan, Lim Kian & Ting, Christopher & Warachka, Mitch, 2005. "The implied jump risk of LIBOR rates," Journal of Banking & Finance, Elsevier, vol. 29(10), pages 2503-2522, October.
  3. Ram Bhar & Carl Chiarella & Hing Hung & Wolfgang Runggaldier, 2004. "The Volatility of the Instantaneous Spot Interest Rate Implied by Arbitrage Pricing - A Dynamic Bayesian Approach," Finance 0409002, EconWPA.
  4. Truc Le, 2014. "Intrinsic Prices Of Risk," Papers 1403.0333, arXiv.org, revised Jun 2014.
  5. Dai, Qiang & Singleton, Kenneth J., 2003. "Fixed-income pricing," 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 20, pages 1207-1246 Elsevier.
  6. Qiang Dai & Kenneth Singleton, 2003. "Term Structure Dynamics in Theory and Reality," Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 631-678, July.
  7. Ciurlia, Pierangelo & Gheno, Andrea, 2008. "A model for pricing real estate derivatives with stochastic interest rates," MPRA Paper 9924, University Library of Munich, Germany.

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