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Finite Difference Methods and Jump Processes Arising in the Pricing of Contingent Claims: A Synthesis

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  • Brennan, Michael J.
  • Schwartz, Eduardo S.

Abstract

Since the seminal article by Black and Scholes on the pricing of corporate liabilities, the importance in finance of contingent claims has become widely recognized. The key to the valuation of such claims has been found to lie in the solution to certain partial differential equations. The best known of these was derived by Black and Scholes, in their original article, from the assumption that the value of the asset underlying the contingent claim follows a geometric Brownian motion.

Suggested Citation

  • Brennan, Michael J. & Schwartz, Eduardo S., 1978. "Finite Difference Methods and Jump Processes Arising in the Pricing of Contingent Claims: A Synthesis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(3), pages 461-474, September.
    • Handle: RePEc:cup:jfinqa:v:13:y:1978:i:03:p:461-474_00
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