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The Direct Approach to Debt Option Pricing

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  • K. Sandmann
  • Sandmann, K.

Abstract

We review the continuous--time literature on the so-- called direct approach to bond option pricing. Going back to Ball and Torous (1983), this approach models bond price processes directly (i.e. without reference to interest rates or state variable processes) and applies methods that Black and Scholes (1973) and Merton (1973) had originally developed for stock options. We describe the principal modelling problems of the direct approach and compare in detail the solutions proposed in the literature. (Completely revised version march 1995)

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Bibliographic Info

Paper provided by University of Bonn, Germany in its series Discussion Paper Serie B with number 212.

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Date of creation: Mar 1995
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Handle: RePEc:bon:bonsfb:212

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 6884
Web page: http://www.bgse.uni-bonn.de

Related research

Keywords: Arbitrage; Debt Options; Option Pricing;

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References

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  1. Stoll, Hans R, 1969. "The Relationship between Put and Call Option Prices," Journal of Finance, American Finance Association, vol. 24(5), pages 801-24, December.
  2. Andrew W. Lo, 1986. "Maximum Likelihood Estimation of Generalized Ito Processes with Discretely Sampled Data," NBER Technical Working Papers 0059, National Bureau of Economic Research, Inc.
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Cited by:
  1. Peter Carr & Travis Fisher & Johannes Ruf, 2012. "Why are quadratic normal volatility models analytically tractable?," Papers 1202.6187, arXiv.org, revised Mar 2013.
  2. Miltersen, Kristian R & Sandmann, Klaus & Sondermann, Dieter, 1997. " Closed Form Solutions for Term Structure Derivatives with Log-Normal Interest Rates," Journal of Finance, American Finance Association, vol. 52(1), pages 409-30, March.
  3. Christian Zuhlsdorff, 2001. "The pricing of derivatives on assets with quadratic volatility," Applied Mathematical Finance, Taylor & Francis Journals, vol. 8(4), pages 235-262.
  4. Musiela, Marek & Dieter Sondermann, 1993. "Different Dynamical Specifications of the Term Structure of Interest Rates and their Implications," Discussion Paper Serie B 260, University of Bonn, Germany.
  5. D. Sondermann & K. Miltersen, 1994. "Closed Form Term Structure Derivatives in a Heath-Jarrow- Morton Model with Log-Normal Annually Compounded Interest Rates," Discussion Paper Serie B 285, University of Bonn, Germany.
  6. Christian Zuehlsdorff, 1999. "The Pricing of Derivatives on Assets with Quadratic Volatility," Discussion Paper Serie B 451, University of Bonn, Germany.
  7. Christian Zühlsdorff, 2002. "The Pricing of Derivatives on Assets with Quadratic Volatility," Bonn Econ Discussion Papers bgse5_2002, University of Bonn, Germany.
  8. Schlögl, Erik & Daniel Sommer, 1994. "On Short Rate Processes and Their Implications for Term Structure Movements," Discussion Paper Serie B 293, University of Bonn, Germany.
  9. D. Sondermann & Sandmann, K., 1994. "On the Stability of Log-Normal Interest Rate Models and the Pricing of Eurodollar Futures," Discussion Paper Serie B 263, University of Bonn, Germany.

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