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A variational approach for pricing options and corporate bonds

Author

Listed:
  • Jean-Charles Rochet

    (GREMAQ and IDEI, UniversitÊ des Sciences Sociales, Manufacture des Tabacs, 21, AllÊe de Brienne, Batiment, F-31000 Toulouse, FRANCE)

  • Jean-Paul DÊcamps

    (GREMAQ, UniversitÊ des Sciences Sociales, Manufacture des Tabacs, 21, AllÊe de Brienne, Batiment, F-31000 Toulouse, FRANCE)

Abstract

We show that option prices can always be obtained as the values of simple optimization problems. This easy remark has two consequences: sensitivity analysis is simplified (by applying the envelope theorem) and numerical procedures are improved. We give two examples of applications: options on coupon bonds and corporate bonds.

Suggested Citation

  • Jean-Charles Rochet & Jean-Paul DÊcamps, 1997. "A variational approach for pricing options and corporate bonds," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(3), pages 557-569.
    • Handle: RePEc:spr:joecth:v:9:y:1997:i:3:p:557-569
    Note: Received: February 2, 1995; Revised version May 14, 1996
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    Citations

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    Cited by:

    1. Decamps, Jean-Paul & Faure-Grimaud, Antoine, 2000. "Excessive continuation and dynamic agency costs of debt," LSE Research Online Documents on Economics 119106, London School of Economics and Political Science, LSE Library.
    2. Decamps, Jean-Paul & Faure-Grimaud, Antoine, 2002. "Excessive continuation and dynamic agency costs of debt," European Economic Review, Elsevier, vol. 46(9), pages 1623-1644, October.
    3. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    4. Duffie, Darrell, 2005. "Credit risk modeling with affine processes," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2751-2802, November.
    5. 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.

    More about this item

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation

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